new method mathematicsapi.volunteer.npvn.ng/media/pdfs/nmm workbk 6.pdf · 2 3 complete the table...

C. F. OredugbaR. OhucheG. SalahuR. HollandsA. AdohR. OfilliY. SalaudeenO. Olanrewaju

Mathematicsfor Primary Schools Workbook 6

New Method

THIRD EDITION

ii

Learn Africa Plc

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permission of Learn Africa Plc.

© Learn Africa Plc

First published 2015

ISBN 978 978 925 235 0

iii

Contents

Theme 1 : Numbers and numeration 1

Chapter 1 : Whole numbers 1

Chapter 2 : Writing decimals in expanded form 6

Chapter 3 : HCF and LCM 9

Chapter 4 : Demography 12

Chapter 5 : Fractions 14

Chapter 6 : Ratio 17

Chapter 7 : Proportion 24

Chapter 8 : Percentage 27

Theme 2 : Basic operations 32

Chapter 9 : Addition and subtraction (Whole numbers) 32

Chapter 10 : Addition and subtraction (Fractions and decimals) 34

Chapter 11 : Multiplication (Whole numbers) 37

Chapter 12 : Multiplication (Fractions and decimals) 39

Chapter 13 : Squares and square roots 41

Chapter 14 : Division (Whole numbers and decimals) 45

Chapter 15 : Order of operation 47

Chapter 16 : Estimation 49

Chapter 17 : Number lines (Integers) 51

Chapter 18 : Indices 52

iv

Theme 3 : Algebraic processes 54

Chapter 19 : Simple algebra 54

Theme 4 : Measurement 56

Chapter 20 : Money 56

Chapter 21 : Lengths 60

Chapter 22 : Weight 63

Chapter 23 : Time 65

Chapter 24 : Perimeter 68

Chapter 25 : Area 71

Chapter 26 : Volume 74

Chapter 27 : Capacity 76

Theme 5 : Geometry 78

Chapter 28 : Plane shapes 78

Chapter 29 : Polygons 80

Chapter 30 : 3-dimensional shapes 83

Chapter 31 : Angles 84

Chapter 32 : Scale drawing and bearing 87

Theme 6 : Everyday statistics 88

Chapter 33 : Data collection and presentation 88

Chapter 34 : Range and measures of central tendency 91

Chapter 35 : Experiment 93

Chapter 36 : Binary numbers 95

Chapter 37 : Points on a grid 97

1

Numbers and numerationTheme 1

Chapter 1 Whole numbers

1 What is the place-value of the underlined digits in each of the following numbers?

a) 135054________ b) 546785________ c) 265398________

d) 25608912________ e) 46589469_____ f) 123685476________

2 Complete the table.

Numberinfigures Numberinwords

a) 48564

b) Eightmillion,fivehundredandfortyfourthousand,three hundred and twenty two

c) 17016468

d) Nine million and twenty seven thousand, two hundred and one

e) 654911876

f) Forty five million, two hundred thousand fivehundred and seventy-six

g) 67556338

h) 769441999

Unit1 Count,readandwritenumbersinmillions

Exercise 1

2

3 Completethetablebyfillingthemissingnumberscorrectly.

a) 1 000 000 4 000 000 10 000 000

b) 27 000 000 45 000 000 72 000 000

c) 360 000 000 389 000 000 420 000 000

d) 108 500 000 126 500 000 144 500 000

e) 1 236 500 1 238 000 1 239 000

f) 55 550 555 55 550 560 55 550 570

Unit2 Counting,readingandwritinginbillions

Write down the place-value and value of each of the circled digits in these numbers.

1 2 4 53 168 860 ___ 2 17 8 6 2 109 538 ___ 3 2 6 472 865 453 ___

4 68 492 8 24 824 ___ 5 10 675 94 8 768 ___ 6 10 2 1 5 095 688 ___

1 Write the following in words.

a) 45 689 464 129 ___________ b) 90 685 127 390 ______________

__________________________ _____________________________

c) 1 888 999 778 ____________ d) 256 125 658 789 _____________

__________________________ _____________________________

2 Writethefollowinginfigures.

a) Twohundredandfiftysixbillion,onehundredandtwenty-fivemillion,eight hundred twenty-nine thousand, seven hundred and ninety-nine.

_______________________________________________________________

b) Forty-fivebillion,twohundredandtwenty-ninemillion,sixhundredandforty-fourthousandandfivehundredandsixty-seven.

_______________________________________________________________

c) Eightbillion,fivemillionandtwenty.

_______________________________________________________________

Exercise 1

Exercise 2

3

1 Completethefollowingbyfillingthemissingnumbers.

a) 2 200 400 500, 2 200 401 000, ________________, _________________, _________________.

b) 66 000 000 000, 77 000 000 000, _______________, ________________, ________________.

c) 10 500 400 200, 10 5000 400 400, ______________, ________________, _________________

2 Completethefollowingbyfillingtheboxeswiththesymbol>, < or =.

a) 40 000 000 000 – 20 000 000 38 000 000 000

b) 18 500 000 000 20 500 000 000 – 20 000 000

c) 9 999 999 999 9 999 999 998 + 20

Unit 3 Counting and reading in trillions

Completethefollowingbyfillingthemissingnumbers.

1 1 000 000 000 000, 2 000 000 000 000, ______________________________, ______________________________, ______________________________

2 10 000 000 000 000, 12 000 000 000 000, _____________________________,

______________________________, ______________________________.

3 45 500 500 500 556, 45, 500 500 500 557, ____________________________,

______________________________, ______________________________.

4 60 600 600 600 600, 6 600 600 601 200, ______________________________,

______________________________, ______________________________.

5 28 000 000 150 200, 28 000 000 200 200, _____________________________,

______________________________.

Exercise 3

Exercise 1

4

Unit 4 Place-value

1 Use the abacus to answer the questions below.

T HB TB B HM TM M HTH TTh Th H T U

a) Writethenumberthatthediagramrepresentsinfigures. b) Write the number that the diagram represents in words. c) What is the value and place columns for 1, 7, 8 and 9?

2 Represent this number on the abacus.

5 846 325 127 912

3 Complete the value and place columns for 9 684 773 259 136.

Value Place-value 9 6 8 4 7 7 3 2 5 9 1 3 6

Exercise 1

a) ____________________________________________________________b) ____________________________________________________________c) ____________________________________________________________

5

Unit5 Writinginwordsandfigures

Complete the table.

Numberinfigure Numberinwords

1 6 584 394 00 412

2 12 756 447 342 125

3 Seventeen trillion, forty-eight billion, six hundred and fivemillion, ten thousand four hundredandsixty-nine.

4 Two trillion, eight hundred and six billion, two hundredandfifteenmillion,twohundredandsixtythousand,fivehundredandfour.

5 56 128 946 173 555

6 Eighty-five trillion, seven hundred and forty-fourbillion, three million, eight hundred thousand, two hundred and one.

Unit6 Comparingwholenumbers

Completethefollowingbyfillingtheboxeswiththecorrectsymbols.

1 8 786 876 876 786 8 768 786 687 867

2 1 000 000 000 100 1 000 000 000 010

3 3 478 921 218 641 3 489 774 484 520

4 33 300000 000 212 33 300 000 000 221

Exercise 1

Exercise 1

6

Unit 1 Writing decimals in expanded form

Completetheplace-valuetablebywritingthecorrectfigureundereachplace.(No. 4 is given as an example.)

Number Ten Thousands Hundreds Tens Units Tenths Hundredths Thousandths

thousand

1 256.342

2 48.156

3 1.064

4 15 641.842 1 5 6 4 1 8 4 2

5 0.473

6 37.004

Write these decimals in expanded form. (No. 1 is given as an example.)

1 12.237 = 10 + 2 +

210

+3

100+

7100

= 50 + 2 + 0.2 + 0.03 + 0.007

2 2.875 =________ 3 1.021 =________ 4 436.004 =________

Unit 2 Place-value

Write down the place-value and value of each underlined digit.1 10.245 2 468.136 Place-value: hundredths Place-value: __________________ Value: 4 hundredths Value: ________________________

3 1.021 4 0.006 Place-value: ___________________ Place-value: __________________

Value: ________________________ Value: _______________________

Chapter 2 Writing decimals in expanded form

Exercise 1

Exercise 1

Exercise 2

7

Completethetablebywritingthecorrectfigureundereachplace.

Number Thousands Hundreds Tens Units Tenths Hundredths Thousandths

1 119.342 1 1 9 3 4 2

2 625.136

3 2 074.358

4 0.296

5 1.103

Unit3 Writingdecimalsinwordsandfigureforms

Write each of these numbers in words in two ways.

1 45.63 = ________________________________________________________

________________________________________________________

2 9.416 = ________________________________________________________

________________________________________________________

3 100.069 = ________________________________________________________

________________________________________________________

4 1.001 = ________________________________________________________

________________________________________________________

Writethefollowingnumbersinfigures.

1 Forty-six and two hundredth. __________________________________________

2 Ten and fourteen thousandth. _________________________________________

3 Six and ninety-eight thousandth. _______________________________________

4 Three hundred and seven tenths. ______________________________________

5 Ninety-nine and nineteen hundredth. __________________________________

6 Zero point three six four. ______________________________________________

7 Sixty-four point eight nine. _____________________________________________

Exercise 2

Exercise 1

Exercise 2

8

Unit 3

Fill each box with the correct digit or write the name to complete the place-value.

1 2 . 0 Two hundred and seven hundredth

2 0 . 8 Ten and eighteen hundredth

3 1 0 . 4 One hundred and sixty-four thousandth

4 . Twentyfivepointtwofiveeight

5 0 . 4 6 5

6 7 2 1 . 8 9 4

7 3 8 ‘ 0 4

Unit 4 Comparing and ordering decimals

Arrange the following in the ascending order.1 0.112, 0.121, 0.122, 0.0121, 0.0211. _____________________________________________________________________2 5.55, 5.56, 5.65, 5.056, 5.065. _____________________________________________________________________3 0.9, 0.1, 1, 1.1, 1.19 _____________________________________________________________________4 0.111, 0.101, 0.110, 0.011, 0.0101 _____________________________________________________________________5 0.998, 0.899, 0.989, 0.0989, 0.0998 _____________________________________________________________________

Circle the larger of the two numbers.

1 8.87 and 8.78 2 10.99 and 10.09

3 3.45 and 3 4 1.101 and 1.110

5 and 0.71 6 1.01 + 0.1 and 1.10 – 0.01

Hun

dre

ds

Tens

Units

Tent

hs

Hun

dre

dth

s

Tho

usa

ndth

s

Exercise 1

Exercise 2

510

17100

9

Unit1 Commonfactorsof2-digitwholenumbers

1 Complete the following by listing all the factors.

Number Factors

a) 16

b) 18

c) 42

d) 75

e) 84

2 What is a factor of a given number? ___________________________________________________________________ ___________________________________________________________________

3 Completethefollowingbyfindingthecommonfactors(c.f.)ofthenumbers,e.g. 12 and 18.

12 = 1, 2, 3, 6, 12

18 = 1, 2, 3, 6, 9, 18

CF = 1, 2, 3 and 6

a) 3 and 6 b) 10 and 15 c) 28 and 36 3 = ________ 10 = ________ 28 = ________ 6 = ________ 15 = ________ 36 = ________

CF = ________ CF = ________ CF = ________

Unit2 HighestCommonFactors(HCF)of2-digitwholenumbers.What is the highest common factor of a given number?________________________________________________________________________________________________________________________________________________

Chapter 3 HCF and LCM

Number Factors

f) 96

g) 108

h) 112

i) 144

j) 150

Exercise 1

10

Find the HCF of each of the following numbers.1 12, 16 and 24 2 36, 54 and 60 3 15, 20 and 30 _________________ _________________ _________________ _________________ _________________ _________________4 18, 24 and 30 5 42, 56 and 84 6 21, 42 and 63 _________________ _________________ _________________ _________________ _________________ _________________

1 Find the prime factors of each of the following numbers.

a) 12 = _______ b) 36 = _______ c) 54 = _______

d) 75 = _______ e) 65 = _______ f) 84 = _______

2 Express the following as products of prime factors.

a) 104 = _______ b) 105 = _______ c) 210 = _______

= _______ = _______ = _______

Complete the following.

3 384 = 2 × = 2 × ×

= × ×

= ×

Unit3 Commonmultiplesof2-digitwholenumbersWhat are common multiples? _____________________________________________

________________________________________________________________________

Find the common multiples of these numbers. 1 10 and 20 10 = 10, 20, 30, 40, 50, 60, 70 20 = 20, 40, 80, 120, 160, 180, 200 Common multiples are 20, 40, 80

4 1 296 = 24 = × =

= 23 × × 2 × 3

= 4 × 4

Exercise 1

Exercise 1

Exercise 2

2 11 and 55 11 = ________________ 55 = ________________ Common multiples are________

11

3 12 and 18 12 = ________________ 18 = ________________ Common multiples are __________

Unit 4 Least common multiplesWhat is a prime number? _________________________________________________

What is a prime factor? __________________________________________________

What is LCM? ___________________________________________________________

Find the LCM of these numbers.

1 12 and 28

12 = 2 × 2 × 3 = 22 × 3 or 2 12 2 28

28 = 2 × 2 × 7 = 22 × 7 2 6 2 14

LCM = 22 × 3 × 7 = 84 3 3 7 7

1 1

22 × 3 22 × 7

LCM = 22 × 3 × 7

2 24 and 42 3 15 and 60

4 12, 15 and 20 5 24, 36 and 50

4 10, 15 and 30 10 = ________________ 15 = ________________ 30 = ________________ Common multiples are __________

Exercise 1

12

Unit 1

What is demography? _____________________________________________________

__________________________________________________________________________

Use the given populations of the 36 states and FCT Abuja of Nigeria on pages 29–30 of your textbook to answer the following questions.

1 What is the total population of Kano, Lagos, Enugu and Rivers States? ___________________________________

2 What is the total population of female in Oyo, Ogun, Osun and Ondo State? ___________________________________

3 What is the population difference between male and female in Kano, Kaduna, Katsina and Kebbi State? ______________________________________

4 Which state has the least population? ___________________________________

5 Which state has the largest population? _________________________________

6 What is the total female population of Lagos, Kano, Rivers, Enugu and Oyo States. _______________________________________________________________

Use the population table of geo-political zone in Nigeria on page 30 to answer the questions.

7 a) Which geo-political zone in Nigeria has the least population? ________

b) What is the population? _________________________________________

8 a) Which geopolitical zone in Nigeria has the largest population? _______

b) What is the population? ___________________________________________

9 What is the total difference between male and female in all the states in Nigeria? _____________________________________________________________

10 Arrange the population of all the geo-political zones in descending order.

_____________________________________________________________________

Chapter 4 Demography

Exercise 1

13

Unit 2

Use the table on page 31 of your textbook to answer the questions below.

1 Which city has the largest population? _________________________________

2 Write the populations of the following cities in words.

a) Onitsha ________________________________________________________

b) Kano __________________________________________________________

c) Benin city _______________________________________________________

d) Ibadan _________________________________________________________

3 Which city has the least population? ___________________________________

4 What is the population difference between Benin City and Port Harcourt?

____________________________________________________________________

5 List the populations of the cities in ascending order.

____________________________________________________________________

Unit 3

Use the table on page 32 of your textbook on HIV prevalence in different countries to answer the questions below.

1 Which of the region has the highest population of HIV/AIDS? _______________

2 What is the difference between the number of deaths in Sub-Sahara Africa andtheAsiawiththePacific?__________________________________________

3 Compare the population of HIV/AIDS people in Eastern Europe and Central Asia to Latin America and the Caribbean.

_____________________________________________________________________

4 Which of the region has the least number of deaths?_______________________

5 What is the population difference between North America with the Middle East and North Africa?________________________________________________

Exercise 1

Exercise 1

14

Unit 1 Equivalent fractions

Completethefollowingequivalentfractionsbyfillingtheboxes.

1

45=

25

2

16=

3

3

416

=1

4

37=

35

5

12=

12

6

23=

24

7

6072

= 6

8

454

=2

Completethefollowingbyfillingtheboxes.

1

12=

4

=6

2

34=

9

=

20

3

15=

2

=

15

4

27=

15

= 35

5

89=

16

=

36

6

411

= 33

=34

Unit 2 Simplifying fractions

Simplify the following fractions by reducing to the lowest term.

1

2045

= 2

6496

= 3

6381

= 4

270810

=

5

56124

= 6

85155

= 7

55120

= 8

105135

=

9

414525

=

Chapter 5 Fractions

Exercise 1

Exercise 2

Exercise 1

15

Unit 3 Comparing and ordering fractions

Arrange these fractions in ascending order (from smallest to largest).

1

12

, 34

, 25

2

34

, 23

, 35

3

78

, 56

, 25

4

25

, 37

, 29

___________ ___________ ___________ ___________

5

611

, 78

, 47

6

1114

, 1217

, 811

7

35

, 47

, 59

8

716

, 6

19,

517

___________ ___________ ___________ ___________

9

14

, 13

, 15

10

79

, 35

___________ ___________

Complete the following by putting the correct symbol > or < in the boxes.

1

27

35

2

35

49

3

611

59

4

29

411

5

12

5

15 6

23

2436

7

35

12

8

25

47

9

1113

7

13 10

49

5

12 11

311

29

12

89

13

Unit 4 Converting fractions to decimals and vice versa

Express the following fractions in decimals and round off to the nearest thousandths.

1

23

= 2

56

= 3

140

= 4

58

=

5

1216

= 6

10125

= 7

625

= 8

963

=

9

23100

=

Exercise 1

Exercise 1

Exercise 2

16

Express the following decimals in fractions and reduce to the lowest term.

1 0.64 = _____ 2 0.72 =_____ 3 0.525 =_____ 4 0.96 =_____

5 0.125 = _____ 6 0.005 =_____ 7 0.18 =_____ 8 0.45 =_____

9 0.875 =_____ 10 0.216 =_____ 11 0.333 =_____ 12 0.56 =_____

Unit 5 Fractions of quantities

Find the values of the following.

1

25

of 60 minutes 2

1100

of 1 tonne 3

38

of 160 apples

_______________ _______________ _______________

4

320

of 10 kg 5

23

of 1 hour 6

1012

of 240 litres

_______________ _______________ _______________

7

47

of 5

14

kg 8

78

of 10

27

litres 9

815

of 105.15 m

_______________ _______________ _______________

Find the whole number of the following quantities. (No.1 is given as an example.)

1

23

of 18 kg = = 18 kg ×

32

= 27 kg

2

35

is 45.5 m = 3

45

is 105 km =

4

1112

is 72 litres = 5

835

is 256 cm =

6

56

is 900 mm = 7

18

is 104 cl =

Exercise 2

Exercise 2

Exercise 1

× = × =

× = × =

× = × =

17

Chapter 6 Ratio

Unit1 Meaningofratio,equalratioandsimplification

What is ratio?______________________________________________________

1 Write down the ratio of each of the following pairs.

a) b)

Ratio = Ratio =

c) d)

Ratio = Ratio =

2 Completethefollowingtogiveequalratiosbyfillingtheboxes.

a) 1 : 2 = 6 : b) 2 : 5 = : 20

c) : 6 = 1 : 2 d) : 2 = 3 : 12

e) 3 : = 21 : 35 f) 2 : 5 = 10 :

g) : 44 = 6 : 12 h) 4 : 16 = 1 :

i) 12 : 45 = 4 :

4 cm10 cm

3cm3 27cm3

4cm216cm2 420g 1kg

Exercise 1

18

Write the following ratios in the simplest form.

1 15 : 20 =_______ 2 6 : 21 =_______ 3 24 : 36 =_______

4 48 : 96 =_______ 5 15 : 18 =_______ 6 50 : 350 = _______

7 48 : 108 =_______ 8 96 : 64 = _______ 9 42 : 121 =_______

10 16 : 98 =_______

30 cm 28 cm 2 cm

A B C D

Write down the ratios below in the simplest form.

11 AB to AD _______ 12 CD to AB _______ 13 BD to Ac _______

14 AC to AD _______ 15 BC to AD _______ 16 AB to AC _______

Express the following ratios in the simplest form.

1 20 cm to 55 cm 2 5.5 m to 10 m 3 650 m : 1 km

_________________ _________________ ________________

4 65k to $1 5 45 mins to 2 hrs 6 400 g to 6 kg

_________________ _________________ _________________

7 60 cl to 112

l 8 $35 to $210 9 43k to 360k

_________________ _________________ _________________

Unit 2 Application of ratio to real-life situations

1 The ratio of pupils to teachers in a class is 6 : 1. How many

a) teachers are in a school of 600 pupils? ____________________________

b) pupils are in a school of 11 teachers? ____________________________

Exercise 2

Exercise 2

Exercise 1

19

2 Kemi and Uche share $5 000 in the ratio of 5:10 respectively. What is the share of

a) Kemi? _________________________________________________________

b) Uche? _________________________________________________________

3 Bello, Chidi and Toyin contributed money in the ratio of 3 : 5 : 8 respectively for a business transaction.

a) If the total amount contributed is $64 000, how much did each contribute?

____________________________________________________________

____________________________________________________________

b) if theprofitmadefromthebusiness is$64 000 and is shared among them. How much did each get?

____________________________________________________________

____________________________________________________________

4 If Mr John’s salary is increased in the ratio of 3 : 7 and he earns $90 000 in a month,

a) what is his new salary? ___________________________________________

b) what is the difference between new salary and old salary?

_______________________________________________________________

Unit 2 Ratio and population issues

The table shows the number of people in four villages in a particular local

government area in Ogun State.

Village Married Married Teenage Teenage Total number

men women boys girls ofpeople

A 10 12 12 8

B 8 14 8 10

C 15 20 15 12

D 7 10 8 6

Total

Exercise 1

20

1 Completethetablebyfindingthetotalnumberof

a) married men b) married women c) teenage boys

____________ ____________ ____________

d) teenage girls e) village A f) village B

____________ ____________ ____________

g) village C h) village D i) the overall total in all

____________ ____________ the four villages. ________________

Use the table to answer the following questions.

2 Ratio of married men to married women in each of the four villages

a) A =________ b) B = ________ c) C =________

d) D = ________

3 Ratio of boys and girls in villages as shown

a) A : C =________ b) B : D = ________ c) A : D = ________

d) B : C = ________

4 Find the ratio of the following

a) Village A to Village D = __________________________________________

b) Village B to Village C = ___________________________________________

c) Village A to total population = ____________________________________

d) Village B + Village D to Total population =_________________________

e) Teenage boy + Teenage girls to total population =_________________

f) How many males are in the four villages? ___________________________

g) How many females are in the four villages?__________________________

1 In a town of population 140 000, if the total number of children born in a year is 2 940 and death is 1 050,

Exercise 3

21

a) what is the ratio of birth to population?_____________________________

b) what is the birth rate? ____________________________________________

c) what is the ratio of death to population? ___________________________

d) what is the death rate? __________________________________________

2 If 2 250 children were born in a particular year in a city of with population of 159 000,

a) what is the ratio of birth to the population? _________________________

b) what is the birth rate? ____________________________________________

3 In a town, the number of women is 450. If the number of children born by all thewomeninthetownis2250,find

a) the ratio of children to women. ___________________________________

b) the fertility rate. _________________________________________________

4 The death rate in a town is

161 000

. Find the number of death if the population is 92 000.

_____________________________________________________________________

5 If the birth rate of a town is

13 births1 000

,findthenumberofbirthinapopulationof 800 000.

____________________________________________________________________

Unit 3 Ratio of family size and resources

1 A man’s monthly salary is $100 000 and his family size is 6. After removing $40 000, he is left with $60 000 to take care of his family. Find the ratio of his family size to what is left after removing $40 000.

____________________________________________________________________

____________________________________________________________________

2 Mr John’s family size is 8 and his annual salary is $2 700 000.

a) What is the ratio of his family size to his monthly salary?

b) How much does each get monthly?

Exercise 1

22

a) _____________________________________________________________

_____________________________________________________________

b) _____________________________________________________________

_____________________________________________________________

Unit4 Ratiooftwopopulations

Use the 2006 census on pages 49–51 of your textbook to express the pairs of states giveninaratioform.(Approximateeachpopulationfiguretothenearestmillion.)

1 Ogun to Lagos ______________________________________________________

2 Delta to Kano _______________________________________________________

3 Rivers to Lagos ______________________________________________________

4 Cross Rivers to Kano _________________________________________________

5 FCT to Benue _______________________________________________________

6 Taraba to Osun _____________________________________________________

7 Women in Lagos to women in Kano ___________________________________

8 Total population of North East to total population of South-East ____________

9 Women in Oyo to men in Oyo ________________________________________

10 Men in Anambra to Bayelsa __________________________________________

Unit5 RatioofHIV/AIDSprevalencebetweensexesandstates

Use the table under Exercise 1 on page 52 of your textbook to answer the following

questions.

What is the ratio of men with HIV/AIDS to women with HIV/AIDS in these states?

1 Rivers : Lagos _______________________________________________________

2 Osun : Kwara _______________________________________________________

3 Edo : Enugu ________________________________________________________

Exercise 1

Exercise 1

23

4 Zamfara : Adamawa ________________________________________________

5 Ondo : Abuja _______________________________________________________

Express these HIV/AIDS populations in the ratio form.

6 Children : Women (Ekiti) ______________________________________________

7 Women : Men (Kano) ________________________________________________

8 Children : Men (Plateau) _____________________________________________

9 Women : Men (Abuja) _______________________________________________

Use tables on pages 53–54 of your textbook to answer the following questions:

Find the ratio of people living with HIV/AIDS between these countries.

1 Zambia to South Africa _______________________________________________

2 Niger to Zimbabwe __________________________________________________

3 Angola to Lesotho ___________________________________________________

4 Gambia to Nigeria __________________________________________________

5 Ghana to Kenya ____________________________________________________

6 Cameroon to Uganda _______________________________________________

Find the ratio of orphans due to AIDS between these countries.

7 Mauritius to Namibia ________________________________________________

8 Togo to Benin ______________________________________________________

9 Burundi to Congo ___________________________________________________

10 Comoros to Chad __________________________________________________

11 Liberia to Swaziland _________________________________________________

12 Senegal to Rwanda _________________________________________________

Exercise 2

24

Unit 1 Direct proportion

1 If 200 watermelon cost $30000,findthecostof

a) one watermelon. _______________________________________________

b) 25 watermelon. ________________________________________________

2 Find the cost of 30 apples, if the cost of 5 apples is $5.50. _______________

3 If a car travels 60 km/hr, how long will it take to travel a distance of 135 km?

____________________________________________________________________

4 A business man travels to America to buy goods. If the rate of change is $1 to $210. How much in dollars will he get from $850 000?

____________________________________________________________________

5 What is the cost of 25 kg of yam at the rate of 2 kg for $300?

____________________________________________________________________

6 A train is moving at a speed of 150 km/hr

a) How many kilometers can it cover in 4.25 hours?

_______________________________________________________________

b) How many hours will it take to cover a distance of 1 200 km?

_______________________________________________________________

7 A boy walks 3 km to school. If he covers 100 m in every 3 minutes, how many minutes does he take to cover 3 km?

_______________________________________________________________

8 A crate of soft drinks costs $1 800. What is the cost of 11

12

crates?

_______________________________________________________________

9 A litre of petrol costs $87. What is the cost of 24

12

litres of petrol?

_____________________________________________________________________

Chapter 7 Proportion

Exercise 1

25

10 If a man is paid $300 for laying a 1 m2 tiles, how much will he be paid for laying 43.45 m2?

_____________________________________________________________________

Complete the following.

1 Litre of petrol 1 2 3 15 18 25 30

Cost ($) $87

2 Time (hr) 1 1.5 2 2.5 3 5.5

Distance (km) 120

3 Weight (kg) 1 2 5 5.5 10 12 15

Cost ($) 1 00

4 No.ofnotebook 1 1 4 8 12 16 28

Cost ($) $80

5 No.oforanges 10 50 100 150 200 300

Cost ($) $80 $6 000

Unit 2 Indirect proportion

1 12 men can dig a trench in 8 days. How many men can dig it in 4 days at the same rate?

_____________________________________________________________________

_____________________________________________________________________

Exercise 2

Exercise 1

26

2 If 6 men can build a fence in 4 days, how many men will build it in 2 days?

_____________________________________________________________________

_____________________________________________________________________

3 If 30 men can eat a bag of rice in 10 days, how long will it last for 10 men?

_____________________________________________________________________

_____________________________________________________________________

4 $450 kg of garri costs $56 000, what will 250 kg cost?

_____________________________________________________________________

_____________________________________________________________________

5 A factory uses 80 litres of diesel every 10 days. How long will 40 litres of diesel last?

_____________________________________________________________________

_____________________________________________________________________

6 Goods of 150 kg cost $20 000, what is the cost of goods of 60 kg?

_____________________________________________________________________

_____________________________________________________________________

7 A train travels 60 km/hr and completes a journey in 4 hours. How long will it take to complete the same journey if the speed is 130 km/hr?

_____________________________________________________________________

_____________________________________________________________________

8 If

58

of a man’s money is worth $72 000, what is

58

of its worth?

_____________________________________________________________________

_____________________________________________________________________

9 Complete the table showing drinks consumed by men in 50 days.

Quantity of 50

drink (l)

No.ofmen 1 2 3 4 5 6 7

27

Unit 1 Idea of percentage

Complete the table below.

Decimal Fraction Percentage

1

320

2 0.025

3 10

12

4

58

5 0.345

6 35%

7 6

23

8 28.65

9 112%

10 1.15

11 2

15

12 5.125

Unit 2 Expressing number or quantity as a percentage of another

Expressthefirstquantityasapercentageofthesecond.

1 16 months to 4 years

4 yrs = 4 × 12 months = 48 months

Chapter 8 Percentage

Exercise 1

Exercise

28

1848

×100 =

38×100 =

752

= 37.5%

2 500 m to 1 km 3 15 to 25 4 $12 to N108

_________________ _________________ _________________

_________________ _________________ _________________

5 45 mins to 2 hours 6 90k to $150 7 850 g to 1 kg

_________________ _________________ _________________

_________________ _________________ _________________

8 40 cl to 1.5 cl 9 15 mm to 120 cm 10 4 m to 200 cm

_________________ _________________ _________________

_________________ _________________ _________________

11 $500 to $50 12 2.5 kg to 100 g

_________________ _________________

_________________ _________________

Unit 3 Percentage increase

1 Write each of the following percentage changes as a percentage of the

original amount.

a) 30% = 130% b) 8% = c) 45% =

d) 28% = e) 1% = f) 15.5% =

g) 10

12

% = h) 17% = i) 80% =

Exercise 1

29

Exercise 2

12

2 Complete the table.

Quantity 10% increase 12 % increase 50% increase

1 $100

110100

× $110 = $110

112.5100

× $100 = N112.5

150100

× $100 =$150

2 250 kg _________________ __________________ _______________

3 60.5 m _________________ __________________ _______________

4 12.8 g _________________ __________________ ________________

5 $550.80 _________________ __________________ ________________

6 125 cm ________________ __________________ ________________

7 900 _________________ __________________ _______________

8 360 km ________________ ________________ ______________

1 Kola buys 50 bags of rice every month and sells to his customers. If he plans to increase the quantity by 30%, how many bags will he buy?

____________________________________________________________________

____________________________________________________________________

2 Amanboughtacartonofcannedfish(Titus)at$5 500, 4 months ago. When he went again to the market to buy another carton, he discovered that the price has increased by 13%. How much is the present price?

____________________________________________________________________

____________________________________________________________________

3 Transport fare was increased from $80 to N150, what is the percentage increase.

____________________________________________________________________

____________________________________________________________________

4 House rent is $80 000 per annum. What rent must be charged to give 18% increase?

____________________________________________________________________

____________________________________________________________________

30

Unit 4 Percentage decrease

1 Write the following percentage changes as percentages of the original amount.

A decrease of

a) 15% = 85% b) 45% = c) 15

12

% =

d) 12.4% = e) 30% = f) 3% =

g)

15

% = h) 65% = i) 88.6% =

2 Complete the table below.

Quantity 10% decrease 12

1

2% decrease 65% decrease

a) 45.6 kg

90

100× 45.6 kg = 41.04 kg

87.5

100× 45.6 kg = 39.9 kg

35100

× 45.6 kg = 15.96 kg

b) $655.8

c) 256 km

d) 15.8 litres

e) 750 m

f) $4 500

g) 1 000 g

h) 3 hrs 45 min.

Exercise 1

31

Unit 4

1 Mr Uche bought $750 500 worth of a car and was allowed 15% discount in price. How much did he pay for the car?

____________________________________________________________________

2 The price of generator set was reduced from $55 000 to $42 500. What is the percentage decrease?

____________________________________________________________________

3 The population of a town is 250 000, if due to poor electricity supply 25 000 people relocated to another town with regular electricity, what is the percentage decrease?

____________________________________________________________________

4 In order for a machine not to depreciate further, the owner decided to sell it at a discount of 20%. If the cost of the machine is $120 000, what is the amount he decided to sell the machine?

____________________________________________________________________

Unit 5 Percentage of quantities

Find

1 20% of $4.50 = _________ 2 33

12

% of 1 050 km =_________

3 2

12

% of 1 050 km =_________ 4 75% of $550 500 =_________

5 66

23

% of 360° =_________ 6 25% of 50 l =_________

7 86% of 100 m =_________ 8 1% of 45 min =_________

9 If Bello scored 6 marks out of 10 marks, what is the percentage mark?

____________________________________________________________________

____________________________________________________________________

10 20% of $5 000 is subtracted from 15% of $10 000. What is the amount?

____________________________________________________________________

____________________________________________________________________

Exercise 2

Exercise 1

32

Unit1 Additionandsubtractionofthree-digitwholenumbers

Solve the following.

1 1 6 7 4 2 6 4 3 5 3 3 4 6 5

2 3 6 4 1 4 1 5 7 3 8 4

+ 5 1 2 3 + 1 5 2 6 + 4 2 9 6

4 8 1 2 4 5 4 5 7 3 6 7 4 6 9

– 4 6 1 3 – 3 2 8 6 – 6 3 8 9

Unit2 Additionof5-and6-digitwholenumbers


1 4 6 5 8 1 2 5 6 9 4 1 3 8 4 7 1 2

+ 2 3 6 4 9 + 4 2 3 4 2 4 6 3 4 8

+ 2 4 3 8 4

4 1 2 3 4 5 6 5 4 3 6 5 9 4 6 4 0 0 8 9 7

+ 6 5 4 3 2 1 + 9 0 0 9 9 6 4 4 6 9 5 8

+ 1 2 5 8 7 5

Basic operationsTheme 2

Chapter 9 Addition and subtraction (Whole numbers)

Exercise 1

Exercise 1

33

Find the missing numbers in each of the following.

7 4 4 6 9 8 8 4 5 2 3 4

+ 7 3 4 8 4 + 9 5 4 6 7

1 2 1 5 6 2 1 3 8 7 4 2

Unit3 Subtractionof5-and6-digitwholenumbers


1 8 7 6 1 3 2 9 4 5 8 0 3 3 5 4 8 9 7 8

– 6 8 5 3 2 – 6 6 5 7 2 4 – 4 4 8 7 8 4

4 4 3 6 4 5 1 5 9 0 0 0 0 9 6 7 1 6 3 4 1

– 2 4 7 8 4 0 – 2 9 6 4 9 9 – 6 4 6 2 3 4

Unit 4 Mixed operations of addition and subtraction

Find the value of each of the following.

1 433 516 + 168 322 – 284 567 2 188 465 – 105 468 + 465 846

_____________________________ ____________________________

_____________________________ ____________________________

3 638 276 – 568 931 + 749 936 4 345 773 + 366 774 – 255 844 _____________________________ ____________________________ _____________________________ ____________________________

5 8 465 416 – 301 789 + 640 541 6 944 386 – 243 782 – 432 446 _____________________________ ____________________________ _____________________________ ____________________________

Exercise 1

Exercise 1

34

Unit 1 Mixed numbers and improper fractions

Convert the following mixed numbers to improper fractions.

1 2

16

= 2 6

35

= 3 127

= 4 2

13

=

5 156

= 6 3

49

= 7 138

= 8 1

311

=

Convert the following improper fractions to mixed numbers.

1

193

= 2

187

= 3

264

= 4

277

=

5

359

= 6

266

= 7

3211

= 8

8714

=

Unit 2 Addition and subtraction of mixed numbers


1 2

23+1

34

2 4

16+ 3

56

3 6

23+1

13

4 5

49+ 2

118

5 2

12+1

34

–118

6 3

710

– 234+1

12

7 3

718

–13

12–1

118

8

724

–178+ 2

512

Chapter 10 Addition and subtraction (Fractions and decimals)

Exercise 1

Exercise 1

Exercise 2

35

Unit 3 Mixed operations of addition and subtraction

Evaluate the following.

1 5

13+ 3

310

+ 225

2

35+

512

+45

3 6

34+ 2

38

– 614

4 4

23

–116+1

1112

5 8

38

– 234

– 31

12 6

3

12+1

23+

712

+156

7 3

59+ 2

23+1

13

–79

8 1

310

+ 325+ 2

35+1

110

9 6

89

–123

– 216

–1

27

Unit 4 Word problems on addition and subtraction of fractions

1 What is the sum of 6

27

, 3

121

and 4

23

?

____________________________________________________________________

____________________________________________________________________

2 What is the difference between 4

716

and the sum of 134

and 178

?

____________________________________________________________________

____________________________________________________________________

3 A tank isfilledwithwater,when

39

of water is used, what is the fraction of water left? __________________________________________________________

____________________________________________________________________

4 If a man spent

13

of his salary to buy food,

18

to pay rent and

116

for transport,

Exercise 1

Exercise 2

36

what fraction of salary is left? _________________________________

____________________________________________________________________

5 Atrailerloadofcementbagswassuppliedthefirstcustomerwith

29

of the cement bags and supplied the second customer with

827

of cement bags. What fraction of cement bags was left?

____________________________________________________________________

____________________________________________________________________

6 Add the difference between 6

15

and 3

26

to

110

.

____________________________________________________________________

____________________________________________________________________

Unit 5 Addition and subtraction of decimals


1 8.68 + 12.46 2 15.6 + 7.14 3 212.431 + 0.684

_________________ _______________ _________________

_________________ _______________ _________________

4 6.34 – 3.45 5 48.1 – 10484 6 360.041 – 128.876

_________________ _______________ _________________

_________________ _______________ _________________

Unit 6 Word problems on addition and subtraction of decimals

1 Find the difference between 148.874 and 129.985.____________________

___________________________________________________________________

2 Add the difference between 49.48 and 42.68 to 10.05._________________

___________________________________________________________________

3 Subtract the difference between 15.84 and 10.64 from the sum of 10.64 and 15.84. ____________________________________________________________

___________________________________________________________________

Exercise 1

Exercise 1

37

Unit 1 Multiplying 3-digit by 3-digit numbers

Simplify the following.

1 337 × 448 2 429 × 780 3 565 × 718

________________ ________________ ________________

________________ ________________ ________________

________________ ________________ _______________

4 816 × 218 5 771 × 348 6 208 × 117

________________ ________________ ________________

________________ ________________ ________________

______________ ______________ _____________

Unit 2 Multiplying 4- and 5-digit numbers by 1-digit number


1 6 884 × 6 2 4 635 × 4 3 15 618 × 7 4 18 964 × 9

____________ ____________ ____________ ____________

____________ ____________ ____________ ____________

____________ ____________ ____________ ____________

____________ ____________ ____________ ____________

Chapter 11 Multiplication (Whole numbers)

Exercise 1

Exercise 1

38

Unit 3 Multiplying 4- and 5-digit numbers by 2-digit numbers


1 5 864 × 33 2 8 894 × 65 3 4 667 × 47 4 7 525 × 56

____________ ____________ ____________ ____________

____________ ____________ ____________ ____________

____________ ____________ ____________ ____________

____________ ____________ ____________ ____________

Unit 4 Word problems

1 A woman contributes $3 465 in a week. How much does she contribute in 52 weeks? _____________________________________________________________

____________________________________________________________________

2 The weight of a machine is 7 540 kg. What is the weight of 68 of such similar machine? __________________________________________________________

____________________________________________________________________

3 A man bought 256 bags of groundnut at the cost of $16 550.00 per bag. Find the total cost. ___________________________________________________

____________________________________________________________________

4 Find the product of 2 641 and 9. ______________________________________

____________________________________________________________________

5 A basket of orange contains 360 oranges. If the cost of one orange is $25, findthetotalcostof2baskets?________________________________________

____________________________________________________________________

Exercise 1

Exercise 1

39

Unit 1 Multiplication of mixed numbers


1 6

12

× 812

2 3

34

× 627

3 15

22

× 278

4 24

25

× 13

10 _________ _________ _________ _________

_________ _________ _________ _________

_________ _________ _________ _________

5 4

23

× 212

× 135

6 3

14

× 1022

× 323

7 1

15

× 3

24 × 13

13

8 42 × 1

114

_________ _________ _________ _________

_________ _________ _________ _________

_________ _________ _________ _________

Unit 2 Multiplication of decimals by 2-digit numbers


1 33.12 × 42 2 16.14 × 12 3 39.14 × 11 4 46.33 × 27

_________ _________ _________ _________

_________ _________ _________ _________

_________ _________ _________ _________

5 76.43 × 17 6 38 × 67.88 7 84.2 × 126 8 56 × 96.13

_________ _________ _________ _________

_________ _________ _________ _________

_________ _________ _________ _________

Chapter 12 Multiplication (Fractions and decimals)

Exercise 1

Exercise 1

40

Unit 3 Multiplication of decimals by decimals


1 43.12 × 6.7 2 28.79 × 1.5 3 67.3 × 16.9

_______________ _______________ _______________

_______________ _______________ _______________

_______________ _______________ _______________

4 76.12 × 12.4 5 3.4 × 7.9 × 1.8 6 12.5 × 1.1 × 9.61

_______________ _______________ _______________

_______________ _______________ _______________

_______________ _______________ _______________

7 17.08 × 1.7 8 1.09 × 0.6 × 1.5 9 15.6 × 1.4 × 0.31

_______________ _______________ _______________

_______________ _______________ _______________

_______________ _______________ _______________

1 Find the area of square with sides 12.4 m. _______________________________

____________________________________________________________________

2 The cost of laying tiles is $355.50 per square metre. Find the cost of laying a space of 55.6 metre square. _________________________________________

____________________________________________________________________

3 Find the volume of a water tank with sides 2.5 m, 1.38 m and 1.84 m.

____________________________________________________________________

____________________________________________________________________

4 Find the product of 93.7 and 5.46.

____________________________________________________________________

____________________________________________________________________

Exercise 1

Exercise 2

41

Unit1 Squaresofwholenumbers,decimalandfractions


1 1852 = 185 × 185

1 8 5

1 8 5

9 2 5

1 4 8 0

1 8 5

3 4 2 2 5

4 Find the area of square with side

a) 25 cm b) 38 m c) 60 cm

____________ ____________ ____________

____________ ____________ ____________

d) 120 m e) 225 cm

____________ ____________

____________ ____________

Unit 1 Squares of decimals


1 (0.6)2 2 (0.12)2 3 (3.6)2 4 15.3)2

____________ ____________ ____________ ___________

____________ ____________ ____________ ___________

____________ ____________ ____________ ___________

Chapter 13 Squares and square roots

Exercise 1

Exercise 2

2 2412 = 241 × 241 3 3602 = 360 × 360

42

Unit 1 Squares of fractions

Find the squares of the following.

1

35

⎛

⎝⎜⎞

⎠⎟

2

= _____ 2

16

⎛

⎝⎜⎞

⎠⎟

2

=_____ 3

223

⎛

⎝⎜⎞

⎠⎟

2

=_____ 4

414

⎛

⎝⎜⎞

⎠⎟

2

=_____

_____ _____ _____ _____

5

89

⎛

⎝⎜⎞

⎠⎟

2

= _____ 6

1325

⎛

⎝⎜⎞

⎠⎟

2

=_____ 7

11

25

⎛

⎝⎜⎞

⎠⎟

2

= _____ 8

525

⎛

⎝⎜⎞

⎠⎟

2

=_____

_____ _____ _____ _____

Unit 2 Calculations involving squares

Find the value of the following. 1 62 + 182 2 252 – 162 3 242 + 122

_____________ _____________ _____________ _____________ _____________ _____________4 252 – 242 5 192 ´ 132 6 122 ´ 62

_____________ _____________ _____________ _____________ _____________ _____________7 8.12 – 6.42 8 5.52 + 3.32 9 3.62 – 2.42

_____________ _____________ _____________ _____________ _____________ _____________

5 (0.05)2 6 (1.25)2 7 (48.8)2

____________ ____________ ____________

____________ ____________ ____________

____________ ____________ ____________

8 Find the areas of the squares below.

a) b) c)

1.5cm2cm 3.6cm

Exercise 3

Exercise 1

43

10

52

9–

22

9 = _________ 11

59

⎛

⎝⎜⎞

⎠⎟

2

–29

⎛

⎝⎜⎞

⎠⎟

2

=_______ 12

47

⎛

⎝⎜⎞

⎠⎟

2

+9

14

⎛

⎝⎜⎞

⎠⎟

2

=________

_________ _______ ________

_________ _______ ________

13

45

⎛

⎝⎜⎞

⎠⎟

2

× 62 =________ 14

212

⎛

⎝⎜⎞

⎠⎟

2

+58

⎛

⎝⎜⎞

⎠⎟

2

=______ 15

313

⎛

⎝⎜⎞

⎠⎟

2

+ 529

⎛

⎝⎜⎞

⎠⎟

2

=_______

_________ ______ _______

_________ ______ _______

16

713

⎛

⎝⎜⎞

⎠⎟

2

× 329

⎛

⎝⎜⎞

⎠⎟

2

= ___ 17 (3.6)2 + (1.2)2 =___ 18 (4.9)2 – (3.6)2 = _______

_____ ____ _______

_____ ____ _______

Unit 3 Square roots

Completethefollowingbyfindingthesquareroots.

1 25 = 5 × 5 = 5 2 289 = × =

3 81= × = 4 100 = × =

5 144 = × = 6 169 = × =

7 = 15 ×15 = 8 = 25 × 25 =

Find the square roots of the following using factorisation method.

1 361 2 484 3 676

4 9 604 5 2 500 6 8 100

Exercise 1

Exercise 2

44

1 Find the square root of the following.

a)

416

= _________ b)

6481

= _________ c)

19616

= ________ _________ _________ ________

d)

256100

= _________ e) 0.0144 5 =_______ f) 0.36 =_______ _________ _______ _______

2 Simplify the following.

a) 162 – 42 b) 400 – 4 c) 92 – 42 ____________ ____________ ____________ ____________ ____________ ____________

d) 49 × 64 e) 81× 256 f) 52 × 42 ____________ ____________ ____________ ____________ ____________ ____________

1 Find the lengths of the following given their areas.

a) b) c) d)

2 a) The area of a square is 12.96 cm2. Find the length. ________________________________________________________________ ________________________________________________________________ b) Find the square root of 88.36. ________________________________________________________________ ________________________________________________________________

3 Simplify

625100

– 256100

. ________________________________________________________________ ________________________________________________________________

25 cm2 4 cm2

121 cm2 900 cm2

Exercise 3

Exercise 4

45

Unit 1

Evaluate the following. 1 1 625 ÷ 13 2 2 047 ÷ 23 3 3 204 ÷ 89

4 4 568 ÷ 26 5 16 200 ÷ 45 6 67 465 ÷ 78

Simplify the following and give your remainder in whole number. 7 50 045 ÷ 25 8 76 417 ÷ 45 9 81 364 ÷ 57

Unit2 Divisionof5-digitand6-digitwholenumbersby3-digit numbers


1 45 264 ÷ 123 2 297 246 ÷ 463 3 82 800 ÷ 230

4 426 151 ÷ 326 5 485 694 ÷ 850 6 450 072 ÷ 987

Chapter 14 Division (Whole numbers and decimals)

Exercise 1

Exercise 1

46

Unit3 Divisionofdecimalsby2-and3-digitwholenumber

Evaluate the following. 1 56.16 ÷ 36 2 2274.4 ÷ 49 3 1.022 ÷ 14

4 8.6543 ÷ 100 5 325.12 ÷ 260 6 483.27 ÷ 692

Unit 4 Division of decimals by decimals

Evaluate the following. (Make the divisor a whole number before dividing.)

1 12.33 ÷ 0.9

12.33 × 10 ÷ 0.9 × 10

123.3 ÷ 9

1 3 . 7 9 1 2 3 . 3 9 3 3 2 7 6 3 6 3

Evaluate the following.1 1.241 ÷ 0.85 2 0.0473 ÷ 0.55 3 0.7008 ÷ 7.3

2 24.48 ÷ 3.6 3 1.032 ÷ 0.04

4 2.744 ÷ 0.49 5 0.198 ÷ 5.5

6 30.72 ÷ 3.2 7 1.654 ÷ 9.92

Exercise 1

Exercise 1

Exercise 2

47


1 15 +

13

of 27 – 3 2 45 –

13

of 15 – 3 3 80 +

15

of 16 + 14________________ ________________ ________________________________ ________________ ________________________________ ________________ ________________

4 42 + (7 + 8) × 3 5 80 – (6 – 2) ÷ 4 6 36 – (4 × 6) +18________________ ________________ ________________________________ ________________ ________________________________ ________________ ________________

7 20 × 4 – (

25

of 40) 8

58

of 24 – 3 × 2 9

35

of 35 – 6 ´ 2________________ ________________ ________________________________ ________________ ________________________________ ________________ ________________

Insert brackets correctly,then simplify.

10 18 ÷ 3 × 4 11 15 + 24 ÷ 3 12 4.6 – 15 ÷ 3________________ ________________ ________________________________ ________________ ________________________________ ________________ ________________

13

23

of 12 + 4 14 1.6 × 4 ÷ 2 15 32 ÷ 8 – 4________________ ________________ ________________________________ ________________ ________________________________ ________________ ________________

Simplify the following.1 (12.5 + 1.5) ÷ 7 2 28.6 – (7.2 ÷ 8) 3 28.6 + (7.2 × 3)

________________ ________________ ________________________________ ________________ ________________________________ ________________ ________________

Chapter 15 Order of operation

Exercise 1

Exercise 2

48

4 15 × (9.8 + 2.2) 5 (1.5 ÷ 3) + 2.5 6 (18 ÷ 2.6) ÷ 4________________ ________________ ________________________________ ________________ ________________________________ ________________ ________________

1 Simplify the following.

a) 18 + (20 – 16) b) 28 – (16 + 4) c) 44 – 24 + 16

d) 7 + 3 × 3 – 2 + 7 e) 18 ÷ 4 + 5 × 7 + 6 f) 3 + 5 × 8 + 6 ÷ 2

g) 48 +

38

of 64 – 10 h) 96 – (40 – 20) × 3 i) 72 –

45

of 25 × 4

2 Use brackets to simplify a) to d)a) 84 – 8 × 6 b) 4.6 + 1.4 × 0.2 c)

512

of 48 – 4________________ ________________ ________________________________ ________________ ________________

________________ ________________ ________________d) 7.2 ÷ 1.2 – 3 e) Add 45 to the difference between 20 and 15.

________________ ________________________________________________________ ________________________________________________________ ________________________________________

f) The product of 18 and 10 divided by 6 is added to 15.

______________________________________________________________

______________________________________________________________

g) Subtract 8 from

712

of 96.____________________________________________________________________________________________________________________________

h) Simplify 4

23

+ 2

512

– 1

1112

.____________________________________________________________________________________________________________________________

Exercise 3

49

Unit1 Roundingtonearest10,100,1000andwholenumbers

Complete the table to the nearest.

Numbers To the nearest To the nearest To the nearest ten hundred thousand1 452 543 1664 1425 2566 7847 4 6818 17 7859 3 64510 86 65411 29 31912 48 146

Unit 2 Rounding to nearest decimal placesComplete the table. (d.p. decimal place)

Number Nearestwhole To1d.p. To2d.p. To3d.p. number 48.484171.6575304.3213.48450.847923.14621.045812.10675.07460.729410.104699.6308

Chapter 16 Estimation

Exercise 1

50

Unit3 Significantfigures

Completethetablebelow.(s.f.=significantfigure)

Number To1s.f.To2s.f.To3s.f.

1 3.243

2 8.54

3 0.00875

4 55 674

5 15 843

6 45.013

7 12.67

8 25.687

Exercise 1

51

Unit 1 Locating points on number line

Write the numbers represented by the letters.

1

a) a =

2

a) a = b) b = c) c = d) d =

e) e = f) f = g) g = h) h =

3 Usethenumberlinetofilltheboxeswiththecorrectsymbol> or <.

a) 4 > 3 b) -6 -9 c) 2 -4 d) 15 24 e) -27 18

f) 6 -6 g) -12 -24 h) -21 12 i) 9 -6 j) 24 27

Unit 2 More addition and subtraction of positive numbers on the number line

Simplify the following using the number line. (Draw the number line and show it)

1 4 + 6 = 10

2 10 – 6 = 3 -6 + 10 = 4 -2 – 6 =

5 10 – 12 = 6 4 + 7 =

Chapter 17 Number lines (Integers)

-8-8 -5 1-2 4 7-7

c d a e f b

-4 2-1 5 8-6 -3 30 6 9

b) b = d) d = c) c = e) e = f) f =

e a f

-27 -18 0-9 9 21-24 -15 3-6 12 24-21 -12 6-3 18 27 30

-2 1 74 10 13-1 2 85 11 140 3 96 12start end

Exercise 1

Exercise 1

-70 -40 20-10 50 80-60

c g h b d

-30 300 60 90-50 -20 4010 70 100

52

Use the number line to complete the following

1 4 – = -4

2 -6 + = 8

3 12 – = 4

4 -6 – = -9

5 -6 + = 5

Draw the number line and use it to complete the following.

1 Start at -4, move 9 steps forward, stop at .

2 Start at 10 and move 6 steps backward, stop at .

3 Start at -8 and move 10 steps forward, stop at .

4 Start at 5 and move 3 steps backward, stop at .

5 Start at -10 and move 6 steps forward, stop at .

6 Start at -1 and move 8 steps backwards stop at .

-7 -4 2-1 5 8-6 -3 30 6 9-5 -2 41 7startend

-7 -4 2-1 5 8-6 -3 30 6-5 -2 41 7start end

-7 -4 2-1 5 8-6 -3 30 6-5 -2 41 7start end

0 3 96 12 151 4 107 132 5 118 14startend

-12 -9 -3-6 0-11 -8 -2-5 1-10 -7 -1-4 2startend

16

Exercise 2

Exercise 3

53

Unit 1 Numbers in index form

1 Completethefollowingbyfillingtheboxeswiththecorrectfigures.a) 4 × 4 × 4 × 4 × 4 = b) 6 × 6 × 6 × 6 × 6 =

c)

23

×

23

×

23

×

23

×

23

= d) × × × =

15

⎛

⎝⎜⎞

⎠⎟

4

e) × × =

1

8

⎛

⎝⎜⎞

⎠⎟

f) × × × × =

1

2

⎛

⎝⎜⎞

⎠⎟

2 Complete the following.

a)

13

⎛

⎝⎜⎞

⎠⎟

4

=

13

×

13

×

13

×

13

=

181

b)

45

⎛

⎝⎜⎞

⎠⎟

3

= × × =

c)

1210

⎛

⎝⎜⎞

⎠⎟

3

= × × = d) (15)4 = × × × =

e) =

17

×

17

×

17

=

f) = × × × =

256625

Express each of the following in index form.

1 72 = _____ 2 108 =_____ 3 720 = _____ 4 625 =________

5 324 = _____ 6 16 × 36 = ___ 7 12 × 81 = ___ 8 100 × 96 = ___

Unit 2 Multiplication of number in index form

Simplify each of the following and leave your answer in index form.1 93 × 152 ÷ 34 = 2 242 × 362 = 3 52 × 7 × (32 × 32) =

____________________ _________________ _________________Unit 3 Division of numbers in index form

Evaluate the following. (Leave answer in indices form.)1 44 ÷ 22 = 2

Chapter 18 Indices

Exercise 1

Exercise 1

Exercise 2

Exercise 1

3 360 ÷ 9 = 4

48× 33

24 × 3 =

__________ __________

__________ __________

__________ __________

__________ __________

(152 × 32)(23 × 52)

(52 × 22 × 23)

54

Exercise 1

Exercise 1

Exercise 2

Unit 1 Simple equations


1 5x + 6x = __________ 2 7y – 3y = __________

3 29 + 3a – 4a = __________ 4 4b + 7b – 2b – 3b = __________

5 15t – 6t + 2t – 5t = _______ 6 8a – 3a + 5b – 3b = __________

Solve the following equations.1 4x + 6 = 12 2 4y – 22 = 2 3 8a – 5 = 27

_______________ _______________ ______________________________ _______________ _______________

4 6b + 4 = 16 5 10m + 7 – 6m = 28 6 4x + 2

12

= 3

23_______________ _______________ _______________

_______________ _______________ _______________

Unit 2 Substitution

1 If x = 4, y = 2 and z = 1, evaluate the following.

a) 6y – x + z b) x – 3y + 6z c) ______________ ______________ ____________________________ ______________ ______________

d) e) ______________ ______________ ______________ ______________

2 Find the following when a = 3, b = 5, c = -2.

a) b) c)

Algebraic processesTheme 3

Chapter 19 Simple algebra

a + b – 4c a2 + b2 – cabc

5

x2 – 4y4z

y2 – 8z4

10z – 3y10

55

Exercise 1

Exercise 1

Unit 3 Addition and subtraction of algebraic terms

1 Simplify the following.a) 8y + (4 – 6y) b) 20x – 5(2x – 3) c) (4x + 7y) – (2x + 3y)

_____________ _____________ __________________________ _____________ _____________

d) 4r – 5s + 10t – 3r + 2s – 8t e) 10m – (10 – 5m) – 6m________________________ ________________________________________________ ________________________

f)

45

(20n – 16) – 4 × 9 g)

23

(18y – 3) –

13

(6 + 12y)________________________ ________________________________________________ ________________________

2 Simplify the following.a) 3x(2y + z – 3) b) 4s(3t + 4r – u)

______________________ ____________________________________________ ______________________

c) 3r + r(2s – 4t – u) d)

4x7

(14x – 7y) –

y7

(7x – 21y)______________________ ____________________________________________ ______________________

Unit 5 Word problems

1 The product of a number and 12 is 108. What is the number?________________________________________________________________________________________________________________________________________

2 If

512

of a certain number is 60, what is the number?________________________________________________________________________________________________________________________________________

3 If 6 is added to a number, the result is 19. What is the number?________________________________________________________________________________________________________________________________________

4 Divide $900 between two women so that one has $200 more than the other.________________________________________________________________________________________________________________________________________

5 The sum of three consecutive number is 54. Find the numbers.________________________________________________________________________________________________________________________________________

56

Unit 1 Money1 Complete the table. (To the nearest whole number.)

Costprice Sellingprice Profit Percentageprofita) $600 $150b) $0.85 $1.60c) $155.50 $25d) $3 000.50 $5 000.50e) $65 500 $ $5 000f) $25 500 $5 000g) $250 000 $50 000h) $100 000 $10 000

2 Complete the table. (To the nearest whole number.) Cost price Selling price Loss Percentage lossa) $450 $300b) $0.50 $0.30c) $10 000 $500d) $8 000 $5 000e) $80 000 $15 000f) $4 750 $1 500g) $100 000 $15 000h) $20 000 $2 550

3 A man’s salary is $45 500 in January and $65 000 in July. If he spent $45 000 in all, a) how much is left? _________________________________________________b) what is the percentage of money left to the new salary? _____________

________________________________________________________________4 A woman bought a carton of tablet soap at $2 200. If the carton contain 48

tablet soap and she sells one table for $5,a) what is the total cost for 48 tablet? ________________________________b) did she gain or loss? If yes by how much? If no by how much? _______ ________________________________________________________________c) whatisthepercentageprofitorloss?_____________________________

MeasurementTheme 4

Chapter 20 Money

57

Exercise 1

Exercise 2

Exercise 3

Exercise 4

5 20 litres of palm oil cost $7 200. If she bought four 20 litres of palm oil,a) what is the total cost? ___________________________________________b) and if she sells 20 litres for $11 500, what is the total cost? ___________c) howmuchprofitdidshemake?__________________________________d) whatisthepercentageprofit?____________________________________

6 A man bought a new car at $5 000 000. He then sold the car after 6 years at $2 500 000.a) Find the difference in cost? ______________________________________b) Calculate the percentage loss? __________________________________

Unit 2 Taxes, rates and rent

Calculate the tax due from the following income (per year). Use the table on pages 136-137.1 $750 000 2 $800 000 3 $290 000

______________ ______________ ____________________________ ______________ ____________________________ ______________ ______________

The tenement rate payable by landlords to the local government authority is $4 500 per house on a plot. Find the amount collected on1 15 houses 2 27 houses 3 64 houses

______________ ______________ ____________________________ ______________ ____________________________ ______________ ______________

The local government authority charges $3 000 per month for each market stall hired by a trader. Find the rent paid for4 8 stalls 5 150 stalls 6 500 stalls

______________ ______________ ____________________________ ______________ ____________________________ ______________ ______________

The airport authority charges toll for each vehicle that passes the toll gate between the local airport and Murtala Mohammed International Airport Lagos at the rates below.Cars $120Jeeps $180Truck & buses $300

58

Exercise 1

Complete the table for the total amount collected from the following number of vehicles. Cars Jeeps Trucks/buses Total amount collected1 25 15 122 128 65 253 450 226 167

Unit 3 Shares and dividends

Find the cost of these:1 Hundred (50k) shares at 60k each, 45k each and 30 each.

________________________________________________________________________________________________________________________________

2 Eight hundred ($1.80) shares at $1 each, $1.50 each and $1.90 each.________________________________________________________________________________________________________________________________

3 $15 000 at 70k each, 50k each, $1.50 each and 45k each.________________________________________________________________________________________________________________________________

Complete the table.

No.of Costat Costat Costat Costat Costat shares 50k each 65k each 80k each $1.50each $2 each1 1502 2003 3254 7355 1 525

How many shares can be bought for6 $45 500 at 80k each 7 $250 000 at 50k each

__________________________ ____________________________________________________ ____________________________________________________ __________________________

8 $1 000 000 at 80k each 9 $755 500 at $1 each__________________________ ____________________________________________________ ____________________________________________________ __________________________

Exercise 2

59

Calculate the dividend on each of the following.1 One hundred (45k) shares at 4%, 6%, 15% and 65% _____________________________________________________________________ _____________________________________________________________________2 Nine hundred (1.50) shares at 2%, 8%, 15% and 30% _____________________________________________________________________ _____________________________________________________________________3 Find the number of shares that will yield the dividend in each of these: a) 45k shares at 1 % yield a dividend of $65 ________________________________________________________________ ________________________________________________________________ b) $1 shares at 10% yield a dividend of $90. ________________________________________________________________ ________________________________________________________________

Unit 4 Currency conversion

Use the table on page 142 of your textbook to convert the following currencies based on the buying rates in the table.1 $1 600 to naira 2 £650 to naira ___________________ ___________________ ___________________ ___________________3 600 Swiss Francs to naira 4 1 200 CFA to naira ___________________ ___________________ ___________________ ___________________

5 Abusinessmanwanttochangeonemillionfivehundredthousandnaira (N1.5 million). How much will he get for

a) Euro b) dollars c) Pounds _____________ _____________ _____________ _____________ _____________ _____________

c) A fairly used car costs $1 000 in New York (USA). If tax and transportation from New York (USA) to Lagos is $1 500, how much Naira will one change to Dollars before the car can be send to Lagos?

______________________________________________________________ ______________________________________________________________

Exercise 3

Exercise 1

12

60

Exercise 1

Exercise 1

Unit 1 Units of length

1 Convert each of the following lengths to mm.a) 12 cm

______________

2 Convert the following to cm.a) 356 mm _______ _______

3 Convert the following to m.a) 856 705 mm ___________ ___________

Unit 2 Pythagoras theorem

1 Identify the hypotenus, opposite and adjacent of the right-angled triangle

below.

State the Pythagoras theorem. ________________________________________

2 Find the side labeled x in these right-angled triangle.

Chapter 21 Lengths

b) 48.6 cm _______ _______

d) 0.09 m _______ _______

c) 620 cm _______ _______

e) 14.12 m _______ _______

b) 1 625 mm _______ _______

c) 75.6 m _______ _______

d) 3.8 km _______ _______

e) 180.06 m _______ _______

b) 25 000 cm ___________ ___________

c) 0.456 km ___________ ___________

d) 1 000 km ___________ ___________

C

A B

x cm

4 cm

5 cm

x cm

8 cm10 cm

x

8 cm15 cm

x

24 m 7 m

1

3

2

4

Hypotenus________________Opposite________________Adjacent________________

61

Exercise 1

Exercise 2

Calculate the missing area of each of the squares.

1

1 2

32

12 cm

20 cm16 cm

20 cm

144 cm2

225 cm2

64 m2

36 m2

36 cm2

5.76 cm2

Find the length of the side of each box not given.

62

Exercise 3

Exercise 1

1 Calculate the unknown sides in these right-angled triangles.

a) b) c)

7cm

24 cm

25 cm

17cm

8 cm

a b c

3.5 cm

2 Find the length of the diagonal (hypotenus) of a rectangle with sides 24 cm and 10 cm._____________________________________________________________________________________________________________________________

3 The radius of a cone is 5 cm and the slant height is 13 cm. Find the perpendicular height? _____________________________________________________________________________________________________________________

4 A right-angled triangle has its hypotenus as 22.5 m and one of its side as 7.5 m. Find the length of the third angle. _______________________________

____________________________________________________________________5 Draw a right-angled triangle ABC with the right angle at B such that AB = 1 cm and BC = 2 cm. Measure BC.

Unit 3 Pythagoras triple

Complete the Pythagorean triple table below.

Side a Side b Hypotenuse (h)1 4 cm 3 cm2 5 cm 13 cm3 20 m 25 m4 2.4 cm 3.2 cm 5 8 cm 17 cm

63

Unit1 Conversioninvolvingunitofweight

1 Convert the following to grams.a) 45 kg = ______ b) 10.6 kg = ______ c) 6.06 kg = ______

d) 0.45 kg = ______ e)

25

kg = ______ f)

110

kg = ______

2 Convert the following to tonnes.a) 15 000 kg = ______ b) 19 643 kg = ______ c) 367 kg = ______

d) 250.6 kg = ______ e) 284 600 kg =______ f) 50 kg = ______

3 Convert the following to kilograms.a) 165 g = _____ b) 57 g = _____ c) 98 644 g = _____ d) 0.08 tonnes = _____ e) 6.5 tonnes = _____ f)

34

tonnes = _____

Unit2 Basicoperationsonweight

Solve the following.1 10 kg 265 kg 2 108 kg 960 g + 8 kg 400 g + 142 kg 847 g

3 28 kg 357 kg 4 287 kg 148 g – 1 kg 112 g 198 kg 259 g

5 18 kg 211 kg 6 36 kg 642 g × 4 × 6 g

7 8 428 kg 120g 8 11 68 kg 108g

9 56 kg 14 g + 999 g 10 125 kg – 645 g

Chapter 22 Weight

Exercise 1

Exercise 1

64

Exercise 1

Unit3 Wordproblemsonweight

1 Find the sum of 643 g, 756 g, 218 g and 547 g in kg.________________________________________________________________________________________________________________________________________

2 A tank is

518

full of water and has a weight 250 kg. What will be the weight of

the tank if it is full of water?

____________________________________________________________________

____________________________________________________________________

3 A parcel weighs 2

14

kg. How many of such parcels can be gotten from

900 kg? _____________________________________________________________

____________________________________________________________________

4 A load of 554 kg, 500 g is carried equally by 18 labourers. What weight does

a labourer carry?________________________________________________________________________________________________________________________________________

5 What is the product of 115.06 g and 46.8 g, leave your answer in kg?

____________________________________________________________________

____________________________________________________________________

6 A tin of milk weighs 160 g. What is the weight of 5

12

cartons if a carton contains

48 tins of milk?________________________________________________________________________________________________________________________________________

7 Groundnut was harvested in Bello’s farm. The quantity of groundnuts harvested

was estimated to weigh 2.4 tonnes. If a sack of groundnut weighs 22 kg 250 g,

how many sacks of groundnuts can Bello get from his harvested groundnuts.________________________________________________________________________________________________________________________________________

8 A bag of rice weighs 50 kg. If Chukwu and Adisa shares a bag and Chukwu’s

share is 21 000 g, what is Adisa’s share in kg?________________________________________________________________________________________________________________________________________

65

Exercise 1

Exercise 1

Chapter 23 Time

Unit 1 24-hour clock

Write each of the following time as a 24-hour time1 1.35 p.m 2 8.30 a.m 3 11.45 a.m 4 7.15 p.m

____________ ___________ ____________ ____________

5 12 midnight 6 Fortyfiveminutespast10inthenight____________ __________________________________

Write each of the following time as a 12-hour time. (Use a.m. or p.m.)7 13.30 8 18.45 9 08.50

________________ ________________ ________________

10 24.00 11 00.30 12 06.16________________ ________________ ________________

Write these times.13 46 min before 08.00 14 10 min after 18.30

__________________________ __________________________

15 90 min after 01.30 16 1 hour before 13.30__________________________ __________________________

Unit 2 Reading timetable of journeys (Flights and train)

Usingthetimetableforflightonpage163-164,answerthefollowingquestions.

1 HowlongdoestheaircrafttaketoflyfromLagosto

a) AbujaflightNo.NG-127 b) AsabaflightNo.NG193

________________________ ________________________

c) Accra Kotoka IN. Flight No. NG 2004 _____________________________

2 What is the flightnumberof theaircraft that leaves fromEnugu-ENUGU to

Lagosp.mflight?_______________________________________________

3 Writeinfiguresthe12-hourclockarrivalstimesinLagosofflights.

a) NG – 144 ______________ b) NG – 152 ______________

66

Exercise 1

4 Findthetimetakenforeachflightinquestions3inminutes.

___________________________________________________________________

___________________________________________________________________

Use the train time-table on page 164-165 to answer the following.

5 How long does it take the train to travel from:

a) Lagos to Minna? b) Kano – Offa?

________________________ ________________________

Unit 3 Average speed

Complete the table.

Length of journey Time taken Average speed

1 500 m 30 s

2 800 m 25 s

3 1 h 60 km/hr

4 200 km 1

12 hr

5 500 km 4 hr

6 5 hr 120 km/hr

7 850 km 100 km/hr

8 10 000 km 150 km/hr

9 A train travelled at an averaged speed of 100 km per hour for 3 hours. It then

travelled for 1

12

hours at an average speed of 60 km/hr.

a) Findthedistancecoveredinthefirstonehour?____________________

b) Whatdistancediditcoveredinthefirst30minutes?________________

c) Whatdistancediditcoveredinthefirst3hours?____________________

d) Ifthetraincoveredadistanceof400kminthefirst3hoursand80km

in the next 1

12

hours,

i) findthetotaldistancecoveredbythetrain.___________________

ii) findthetotaltimespentinthejourney._______________________

iii) findtheaveragespeedofthetrain._________________________

67

Exercise 1

Unit 4 Athletic time

1 In a competition 4 athletes A, B, C and D clocked the following times.

A B C D

10.06 10.12 11.01 11.00

If the person with the shortest time is the fastest,

a) who won the game? ____________________________________________

b) who was last in the game? _______________________________________

c) arrangetheathletesinorderofthefirsttothelast.__________________

d) whatisthetimedifferencebetweenthefirstandthelast?___________

2 Five athletes clocked the following times in 800 m race.

A B C D

1:40.81 1:50.2 1:47.5 1:55.78

a) Express their speed in km/hr

_______________________________________________________________

b) Which is the fastest?

_______________________________________________________________

c) What is the time difference in seconds between the winner and the last?

_______________________________________________________________

d) Whatisthetimedifferencebetweenthefirstandthesecondperson?

_______________________________________________________________

68

Exercise 1

Exercise 2

Chapter 24 Perimeter

Unit 1 Perimeter of plane shapes

Find the perimeters of the following plane shapes. ( =

227

)

1 2 3

4 5 6

1 The perimeter of a rectangle is 100 cm. If the width is 8 cm, calculate the length. _________________________________________________________________________________________________________________________________

2 The length of a rectangle is 36 cm and the breadth is 18 cm. Find the perimeter. ______________________________________________________________________________________________________________________________

3 The length of a square shape is 12.6 cm. Find the perimeter.________________________________________________________________________________________________________________________________________

4 The length of rectangle is 8.65 m and the width is 4.45 cm. Find the perimeter.

____________________________________________________________________

____________________________________________________________________

5 The perimeter of a square shape is 150 cm. Find the length of the square.

____________________________________________________________________

____________________________________________________________________

6 Find the circumference of a circle with radius 2.8 m. ( =

227

)

____________________________________________________________________

____________________________________________________________________

13 cm

25 cm 21 m20 cm

15 cm

8 cm14.6 cm

14 cm

14.6 cm 16 cm

36 cm

69

7 The circumference of a circle is 26.4. Find the radius. ( =

227

)

____________________________________________________________________

____________________________________________________________________

Unit 2 Rectangles of the same area having different perimeters

Find the areas and the perimeters of these plane shapes.

a) b) c)

2 Complete the table and obtain different rectangles with the same area.

Rectangle 1 Rectangle 2 Rectangle 3 Rectangle 4

Length

Breadth

Area 144 cm2 144 cm2 144 cm2 144 cm2

Perimeter

What do you notice?

__________________________________________________________________

__________________________________________________________________

3 The areas of two rectangles are 81 m2 respectively. If their lengths are 9 m

and27mrespectively,find

a) the lengths b) the perimeters

_____________________ _____________________

_____________________ _____________________

Exercise 1

4 cm

10 cm

6 cm

6 cm

2 cm

16 cm

70

Unit 3 Perimeter of compound shapes

Measurethesidesofthefollowingshapesandfindtheirperimeters(usingruler).

1 2 3

Perimeter = _______ Perimeter = _______ Perimeter = _______

4 5 6

Perimeter = _______ Perimeter = _______ Perimeter = _______

Calculate the perimeter of the following shapes.

7 8 9

Perimeter =_______ Perimeter =_______ Perimeter =_______

10 11 12

Perimeter =_______ Perimeter =_______ Perimeter = _______

13 The perimeter of a square is 64 cm. Find the area.________________________________________________________________________________________________________________________________________

14 The circumference of a circle is 308 cm. Find the radius.________________________________________________________________________________________________________________________________________

15 The area of a circle is 88 cm2. Find a) the radius. b) the circumference.

____________________ ________________________________________ ____________________

Exercise 1

1 cm

1 cm 1 cm

2 cm

2 cm

2 cm

2 cm

2 cm

2 cm

1 cm 1 cm

3 cm

5 cm

1.5 cm 1.5 cm35 cm

16 cm

8 cm

6 cm

42 cm

71

3

Base = ___________

Height = ___________

Exercise 1

Exercise 2

Unit 1 Area of a right-angled triangle

Name the base and the height of each of the following triangles.

1

Base = ___________

Height = ___________

Calculate the areas of the following triangles.

1 2 3

4 5 6

7 Find the area of a triangle with base 7.4 cm and height 4 cm.____________________________________________________________________

____________________________________________________________________

Chapter 25 Area

C D

D

C CB

B

A AA

A B

C

D

B

2

Base = ___________

Height = ___________

5

Base = ___________

Height = ___________

4

Base = ___________

Height = ___________

3

Base = ___________

Height = ___________

A

A

D DD

C

C

B

12 cm

18 cm

24 cm

8 cm 6 cm

6 cm

8 cm

17 cm

5.8 cm

12.6 cm

72

Unit 3 Area of a parallelogram and trapezium

Find the areas of these parallelograms.

1 2

8 Thebaseofatriangleis26cm.Iftheheightis44.8cm,findtheareaofthetriangle.________________________________________________________________________________________________________________________________________

9 If the area of a triangle is 108 cm2andtheheightis6cm,findthebaseofthetriangle.________________________________________________________________________________________________________________________________________

10 Find the area of a triangle with base 8

14

m and height 5

13

m.________________________________________________________________________________________________________________________________________

Unit 2 Area of compound shapes

Find the areas of these shapes.

1 2 3

4 5 6

Exercise 1

Exercise 1

6 cm

16 cm

9 cm

16 cm

1.5 cm

6.5 cm

8 cm

18 cm

2 cm

24 cm

16 cm

8 cm3 cm

8 cm

14 cm20 cm

6 cm

4 cm

4 cm

6 cm

7 cm 8 cm

8 cm8 cm

15 cm

6 cm

16 cm

12.8 cm

12 cm

8 cm30 cm

65 cm

3 4

73

Find the areas of the shapes.

1 2 3 4

Unit 4 Land areas in hectares

Express 1 to 6 in square kilometres.

1 855 hectares 2 85 500 m2 3 1 500 hectares

_________________ _________________ _________________

4 22 645 acres 5 9 765 500 m2 6 12 565 hectares

_________________ _________________ _________________

7 Findtheareainacresofarectangularfieldoflength80mandbreadth

45 m.________________________________________________________________

____________________________________________________________________

8 The area of a piece of land is 18 500 000 sq metres. Express the area in

a) acres b) sq km c) hectares

______________ ______________ ______________

9 The area of a land is 250 000 sq km. Find the area in

a) sq metres b) acres c) hectares

______________ ______________ ______________

10 The cost of 10 000 sq km of land is $10 000 000. Find the cost of

a) 30 000 acres b) 25 500 hectares

______________ ______________

______________ ______________

Exercise 2

Exercise 1

8 cm 6 cm

6 cm

15 cm

10 cm5 m

8 m

5 m

20.4 m 12 cm

12 cm

14 cm

14 cm

5 cm

5 cm7 cm

74

Exercise 1

Exercise 2

Exercise 3

Chapter 26 Volume

Unit 1 Volume of a prism

Find the volumes of the following prisms.

Find the volumes of these cylinders.

Complete the table. (use = 3.14)

Radius Diameter Length Volume

1 0.07 cm 12 000 cm

2 14 cm 1 538.6 cm2

3 70 m 85.4 m

4 120 cm 374 220 cm3

5 3.5 cm 25 cm

6 Calculate the volume of cylindrical tank of radius 4.2 m and height 84 cm.

( =

227

) ____________________________________________________________

____________________________________________________________________

7 If the volume of a cylindrical tank is 443.52 m3andtheheightis8m,findthe

radius. __________________________________________________________

____________________________________________________________________

22 cm

22 cm22 cm

15 cm

10 cm30 cm 5 cm

12 cm2 cm

7 cm

48 cm31.5 m

75

Exercise 1

Exercise 1

8 The height of tank A is 5

17

m high, with radius 3.5 m, tank B has a height of

1.4 m with radius 1.5 m. a) Find the volume of tank A. _______________________________________b) Find the volume of tank B. _______________________________________

c) Find how many of tank B can tank A contain? ______________________

Unit 2 Volume of right-angled triangular prism

Complete the table for triangular prism.

Area of cross-section Height Volume1 15 cm2 12 cm 2 7 cm 63 cm3

3 24 cm2 360 cm3

4 18 m 288 m3

5 108 cm2 5 940 cm3

6 0.36 m2 2.5 m7 48 cm2 1 056 cm3

8 48.3 cm2 231.84 cm3

9 The area of a cross-section right-angled triangular prism is 72 cm2. If the height is 108 cm, calculate the volume.

_________________________________________________________________________________________________________________________________________

10 Find the length of right-angled triangular prism with cross section area of 77 cm2 and the volume 1 540 cm3.

________________________________________________________________________________________________________________________________________

Unit 3 Volume of a sphere

Complete the table for volume of a sphere to 1 d.p. ( =

227

) Radius Diameter Volume1 14 cm2 4 m3 1 000 cm3

4 2.4 m5 0.5 m6 Find the volume of a football with radius 9.5 cm to 2 d.p. ( =

227

)________________________________________________________________

________________________________________________________________7 The volume of a watermelon is 9 206.5 cm3. Find the radius to 2 d.p. ( = 3.14)

________________________________________________________________________________________________________________________________

76

Unit 1 Capacity and volume

Convert the following to cubic centimetres

1 11 l = __________ 2 28.6 l = __________ 3 0.65 l = __________

4 0.08 l = _______ 5 10.01 l = __________ 6 0.356 l = __________

Convert the following to litres.

1 2 500 cm3 = ____ 2 1 876 cm2 =____ 3 55 500 cm2 = ______

4 6.4 kl = ______ 5 0.07 kl = ______ 6 0.725 kl = ______

Convert the following to cubic metres (m3).1 12 000 000 cm2 2 78 000 000 cm3 3 8 947 cm2

______________ ______________ ______________

4 18 kl = 5 0.88 kl = 6 1.458 kl =______________ ______________ ______________

Unit2 Relationshipbetweencapacityandvolume

Complete the table

cm3 Litres1 602 7 5003 3.64 50 5005 10.66 257 250 0008 1509 4 000 00010 250.6

Exercise 1

Exercise 1

Exercise 3

Exercise 2

Chapter 27 Capacity

77

Exercise 1

Exercise 1

Unit 3 Basic operations on capacity


1 l ml 2 l ml 3 l ml 214 76 48 845 77 625 + 306 105 + 154 965 – 46 214

4 l ml 5 l ml 6 l ml 208 144 25 165 102 46 – 48 265 × 8 × 5

7 l ml 8 l ml8 96 108 5 64 105

Unit 4 Word problems on capacity

1 If a boy consumes (drinks) 2 litres of water everyday. How many litres of water can he drink in 21 days?________________________________________________________________________________________________________________________________________

2 A container with the given dimension, length 90 cm, breadth 60 cm and height 40 cm. Find the volume in litres.________________________________________________________________________________________________________________________________________

3 Ifapumpingmachinecanfillatankwithcapacity2105lin25minutes,howlongwillittaketofill6tanks?

________________________________________________________________________________________________________________________________________

4 If the capacity of a jug is 1.4 l,a) how many 10 ml spoonfuls does the jug contain? __________________b) how many 290 ml tea cupful does the jug contain? ________________

5 If a bucket has a capacity of 16.5 litres, how many jug with capacity of 1.3 litres does it contain?________________________________________________________________________________________________________________________________________

78

GeometryTheme 5

Chapter 28 Plane shapes

Exercise 1

Exercise 2

Unit 1 Basic properties of triangles

Draw the following triangles using protractor and ruler.

1 Equilateral triangle 2 Isosceles triangle with two sides 2 cm

with sides 2 cm. and base 1 cm

Measure the angles Measure the angles

Find the lettered angles in each of the following.

1 2 3

4 5 6

30o

x y 110o 165ox

y

60o

x

100o

60o x

y

28o 46o

xy

70o

zx y 140o

79

Unit 2 Basic properties of quadrilaterals

Find the lettered angle.

1 2 3

4 5 6

1 Use the shape below to answer the following questions.

a) How many triangles are in the diagram? __________________________b) List the triangles. ________________________________________________c) What type of triangles are they? __________________________________d) How many quadrilaterals are in the diagram? ______________________e) What type of quadrilaterals are they? ______________________________f) List the quadrilaterals. ____________________________________________

2 List 2 similarities between the followingsa) Square and rhombus

i) _______________________ ii) __________________________

b) Rectangle and parallelogrami) _______________________ ii) __________________________

3 List 2 differences between

a) Square and rhombus b) Rectangle and parallelogram

a) ___________________ a) ___________________ b) ___________________ b) ___________________

Exercise 1

Exercise 2

85o

70o

110o x

130o

50o

72ox

120o

65o 57o

x

50o

x

y

70o

40o

x

y

w

45o

x y

zw

A

E D

B C

80

Unit 1 Polygons: meaning and types

Iftheunknownangleofaquadrilateralisrepresentedbyx,findthevalueofxif

the other three angles are:

1 100º, 60º, 120º, xº 2 55º, 107º, 77º, xº 3 110º, 90º, 66º, xº

4 102º, 76º, 60º, xº 5 85º, 95º, 115º, xº 6 45º, 110º, 105º

Find the values of the unknown angles of the following polygons

1 2 3

1 Complete the table belowNameof No.ofvertices No.ofdiagonalsTriangleKiteRectangleSquareRhombusTrapeziumParallelogramPentagon

2 What is a polygon? ___________________________________________________

What is irregular polygon? _____________________________________________

Chapter 29 Polygons

Exercise 1

Exercise 2

Exercise 3

3xx

10o

100o

65o

80o 110o

70o 80o

x

81

Exercise 1

Exercise 2

Unit 2 Polygons

Answer the following questions

1 What is a scalene triangle?_____________________________________________

2 What is an equilateral triangle? ________________________________________

3 What is an isosceles triangle?___________________________________________

4 What is an acute-angled triangle?______________________________________

5 What is an obtuse-angled triangle?_____________________________________

6 What is a right-angled triangle?_________________________________________

Draw the following quadrilaterals and list their properties.

Nameandproperties Drawing

1 Rectangle properties

2 Square properties

3 Parallelogram properties

4 Rhombus properties

5 Trapezium properties

82

Exercise 3

Complete the table below.

Nameofpolygon No.ofsides No.of No.oflines No.of No.of

angles of symmetry triangles vertices

Triangle

Square

Rectangle

Kite 4 4 1 2 4

Rhombus

Parallelogram

Trapezium

Regular pentagon

Regular hexagon

Regular heptagon

Regular octagon

83

Chapter 30 3-dimensional shapes

Exercise 1

Exercise 1

Exercise 1

Unit 1 Properties of a prism

State three properties of the following shapes.1 Cube 2 Cuboid

a) _________ a) _________ b) _________ b) _________c) _________ c) _________

Unit 2 Properties of pyramids

State properties of each of the following.1 Square based pyramids 2 Rectangular based pyramids

a) ___________ a) ___________b) ___________ b) ___________c) ___________ c) ___________

3 Triangular based pyramids 4 Pentagon pyramidsa) ___________ a) ___________b) ___________ b) ___________c) ___________ c) ___________

Unit 3 3-D shape nets

Draw the net of the following shapes.

cube

3 Cylinder 4 Triangular prism a) _________ a) _________ b) _________ b) _________ c) _________ c) _________

84

Chapter 31 Angles

Exercise 1

Exercise 2

Exercise 1

Unit1 Measuringanddrawinganglesusingprotractor

Measure the marked X and calculate Y.

1 2 3 4

x = y = x = y = x = y = x = y =

Use protractor to draw the following angles.

1 45º 2 30º 3 95º

4 166º 5 173º 6 115º

Unit 2 Properties of angles

Calculate the size of the lettered angles.1 2

a = _________ a = _________b = _________ b = _________c = _________ c = _________

x x xxy y

y y

40o

bac

80o ba

c 25o

bac

a = _________b = _________c = _________

a = _________b = _________c = _________

3 4

120o

c b

a

85

Calculate the size of each angle.1 2 3 4

x = _________ x = _________ x = _________ x = _________y = _________ y = _________ y = _________

z = _________

w = _________

1 Write the angles which are complementary to the following angles.a) 45º b) 22º c) 82º d) 34º

_________ _________ _________ _________2 Write the angles which are supplementary to the following angles.

1 125º 2 68º 3 115º 4 16º_________ _________ _________ _________

5 100º 6 90º 7 158º 8 75º _________ _________ _________ _________

Unit 3 Angles formed by parallel lines and a transversal

Write down the angles that corresponds to the shaded angle.

1 2 3

_______________ _______________ _______________

4 5

_______________ _______________

Exercise 2

Exercise 1

Exercise 3

60o

60o

45o

135o

170o

40ox

x

xxz w

y

y

y

a

a

a

b

b

b

b ba

ac cd

d

g ge

e

f

fed

d

d

g ff

fe

e

xe

g

g

c

c

86

Calculate the size of the lettered angles.

1 2 3 4

Calculate the unknow angles.

1 2 3

Calculate the size of each lettered angle.

1 2 3 4

a = ________ a = ________ a = ________ a = ________b = ________ b = ________ b = ________ b = ________c = ________ c = ________ c = ________ c = ________e = ________ e = ________ d = ________

Write down the angle that is alternate to the shaded angles.

1 2 3 4

Exercise 2

Exercise 3

Exercise 4

Exercise 5

a a

a

a

eb

b

b

bd

d

c

c

c c

de

45o

120o

60o

56o

a

g

ef

b

dc

ab

d

feg

cd

125o

y

x w

z 115o

a c

b d

165o

d

c

a

aaa

bbb

ddd

ccc

ccc

fff eee

145o

y

x

w z

a b fe

gc

67o

a

c

d

b

95o

a

c

b

135o 122o

yzx

a = ______ d = _____b = ______

a = ______ d = _____b = ______

a = ______ b = _____c = ______ d = _____

a = ______ b = _____c = ______ d = _____

x = ______ y = ______ z = _____

w = ______ y = ______ x = _____ z = _____

w = ______ y = ______ x = _____ z = _____

87

Unit 1 Use of scales for lengths, distances and maps

1 Calculate the actual length (in metres) represented by each of the following on a scale drawing. The scale is given in brackets.a) 20 cm (1:100) b) 90 cm (1:25) c) 30.5 cm (1:50)

_______________ _______________ ______________________________ _______________ _______________

d) 160 cm (1:150) e) 45 cm (3:50) f) 80 cm (2:80)_______________ _______________ ______________________________ _______________ _______________

2 Calculate the length (in cm) that represents the following actual lengths on a scale drawing. The scale is given brackets.a) 10 m (1:10) b) 100 m (1:250) c) 500 m (1:300)

_______________ _______________ ______________________________ _______________ _______________

d) 8 km (1:5 000) e) 3 km (1:200) f) 120 m (2:90)_______________ _______________ ______________________________ _______________ _______________

3 Findthescaleforthegivenpairsoflengthsinthetablebelow.Thefirstisthelength on scale and the second is the actual length.

Lengthonscaledrawing Actuallength Scalea) 50 cm 2 500 cmb) 50 cm 150 mc) 25 cm 100 md) 80 cm 2.5 kme) 500 mm 1 000 m

Unit 3 Compass bearing

Write down the bearing of P from Q for each of the following

1

_______

7

_______

6

_______

4

_______

2

_______

Chapter32 Scaledrawingandbearing

Exercise 1

Exercise 1

3

_______

5

_______

N N N N N N N

P

PP

P

P P PQ

Q Q

Q Q Q

Q75o

130o

245o 325o

270o

180o

90o

88

Exercise 1

Unit 1 Interpreting pictograms and bar graphs

1 The pictogram shows states that competed in production of yam in a particular

season.

Benue Ondo Rivers Lagos Kogi

represents 15 000 tubers of yama) How many tubers of yam was produced by Lagos? ________________b) Whatisthetotaltuberofyamsfromthefivestates?________________c) Which state produced the highest tubers of yams? _________________d) Which state produced 45 000 tubers of yams? _____________________e) What is the difference between the number of tuber of yams produced

by Kogi and Rivers? ___________________________________f) Which state produce 100 000 tuber of yam? _______________________g) What is the difference between the tuber of yams produced by Benue

and Lagos? ____________________________________________________

_______________________________________________________________

2 The bar graph represents the population of a town

Everyday statisticsTheme 6

Chapter 33 Data collection and presentation

10 000

20 000

30 000

40 000

50 000

Boys Girls Men Women

89

Unit 2 Tally marks and frequency tables

The table shows the mark scored by pupils in primary six in a particular exams. Marks 10 20 30 40 50 60 No.of 6 5 13 12 9 5 pupils

a) Draw the frequency table and tally the marks.

b) Draw the bar chart

c) How many pupils sat for the exams?d) How many pupils scored the highest mark?e) How many scored the lowest?

Exercise 1

a) What is the total population of the town? _________________________

b) What is the difference in the population of women and men? _______

c) How many girls are in the town? __________________________________

d) How many women are in the town? _______________________________

e) How many boys are in the town? _________________________________

90

Unit3 Interpretinganddrawingpiecharts

The pie chart shows food stuff brought by Mrs Garuba at the end of the month. She spent $15 000.What fraction of the total amount spent on1 Rice? ____________________________2 Beans? ___________________________3 Oil? ______________________________4 Garri? ____________________________5 Yam? ____________________________6 How much was spent on beans? ________________________________________7 How much was spent on palm oil?______________________________________8 How much was spent on rice? _________________________________________9 How much was spent on yam and garri?_________________________________

1 Represent the following information on a pie chart. The table shows the types of fruits pupils like.

Type of fruits Number of pupils

Orange 10Mango 8Pineapple 6Water melon 6Banana 5Apple 15

2 What fractions of pupils likesa) Orange ____________________________________________________b) Apple______________________________________________________c) Watermelon _______________________________________________d) Banana ___________________________________________________

3 What percentage likesa) Pineapple ______________ b) Mango _________________c) Orange ______________ d) Apple ______________

Exercise 1

Exercise 2

Yam

Beans

Rice

Garri

Oil

60o

60o

20o

30o

90o

91

Unit 1 The range

What is range?____________________________________________________________

Find the range in each of the following set of numbers.1 2, 9, 3, 7, 6, 4, 8, 1, 0_________________________________________________

2 28, 29, 38, 33, 37, 26, 20, 18, 25_______________________________________

3 41, 26, 27, 64, 72, 65, 85, 20, 41_______________________________________

4 $350, $150, $500, $120, $230, $180, $370, $250______________________

5 Eight pupils in primary six weighs the following kg. 20 kg, 40 kg, 25.5 kg, 32.8 kg, 18.6 kg, 36 kg, 37 kg and 19.2 kg.__________________________________

Unit 2 Mode

What is mode? ________________

Find the mode of the following

1 2, 1, 6, 6, 5, 7, 6, 5, 7, 8, 9_____________________________________________

2 A die was tossed twelve times and recorded as shown below

2, 4, 3, 5, 6, 1, 1, 3, 3, 5, 4, 3

a) How many times did I occur? ___________________

b) How many times did 5 occur? ___________________

c) How many times did 3 occur? ___________________

d) Which number occurred most? ___________________

e) Which number occurred least? ___________________

What is the mode? ___________________

3 The mark scored by primary school pupils in a test are recorded as shown.

3, 4, 2, 2, 1, 5, 6, 2, 6, 4, 5, 6, 7, 3, 6, 7, 6, 1, 5, 6

a) How many pupils sat for the test? ___________________

b) What is the least mark? ___________________

c) What is the range? ___________________

Chapter 34 Range and measures of central tendency

Exercise 1

Exercise 1

92

d) What is the highest mark? ___________________e) What is the mode? ___________________

4 The table below shows the number of pupils with the fruits they like most.

Fruits Mango Orange Pineapple Water melon Banana AppleNo.of 8 15 12 10 7 9pupils

a) Which fruit does the pupils like least? ___________________b) How many pupils like mango? ___________________c) What is the total number of pupils who like the fruits in the table?

___________________d) Which fruit does pupils liked most (mode)? ___________________e) How many pupils like the most liked fruit? ___________________

Unit 3 Mean

What is the mean? ______________________________________________________Find the arithmetic mean of the following:1 9, 0, 1, 5, 4, and 11 ___________________________________________2 11, 11, 12, 13 and 14 ___________________________________________3 $130, $150, $170, $160, $180, $120, $160, $110

__________________________________________________________________4 The mean age of six people is 45 years. If the age of two of them are 30 yrs

and 40 yrs and if the rest have equal age, calculate their ages.__________________________________________________________________

Unit 4 Median

What is median? ________________________________________________________

Find the median of the following set of numbers1 3, 7, 5, 1, 2, 1, 4

___________________________________________________________________2 18, 26, 28, 37, 60, 15, 48, 25

___________________________________________________________________3 41 kg, 26 kg, 64 kg, 27 kg, 72 kg, 85 kg, 65 kg, 41 kg, 20 kg.

___________________________________________________________________4 $160, $170, $180, $180, $170, $190, $190, $200, $200, $190

___________________________________________________________________5 25ºc, 30ºc, 28ºc, 24ºc, 32ºc, 22ºc, 27ºc

___________________________________________________________________

Exercise 1

Exercise 1

93

Unit 1 Chance

Use the terms certain, likely, unlikely and impossible to describe the following events.1 It will be sunny day tomorrow. __________________2 An elephant is a bird. __________________3 A score of 3 is obtained when a dice is thrown. __________________4 A score of 9 is obtained when a dice with six faces numbered from 1 to 6.

__________________5 Afishcanwalkintheair.__________________6 The pregnant woman will deliver a baby boy. __________________7 Achickencanfly.__________________8 When a coin is tossed it will show tail. __________________9 Cheetah is the fastest moving animal on land. __________________10 Queen Elizabeth of England is a Nigerian. __________________

Unit 2 Tally and frequency tables from experiment

Write down the list of all possible outcomes in each of the following1 Throwing a dice_______________________________________________________

_____________________________________________________________________2 Choosing an even number from 1 to 12 _________________________________

_____________________________________________________________________3 Tossing a coin ________________________________________________________

_____________________________________________________________________4 Choosing a particular day of the week _________________________________

_____________________________________________________________________5 Choosing a letter from the consonant of an alphabet ____________________

__________________________________________________________

1 Throw a dice 40 times and complete the table below. Score Tally Frequency12356Use your result to answer the following questions.

Chapter 35 Experiment

Exercise 1

Exercise 1

Exercise 2

94

2 Which score did you throw most?_______________________________________

3 Which score did you throw least?_________________________________________

4 What is the relative frequency of throwing?a) 2 b) 6 c) 1 and 2 d) above 2

________ ________ ________ ________

Unit3 Drawingandinterpretingbarchartfromexperiment

The set of numbers shows the size of sandals of thirty pupils in a class.7, 9, 10, 8, 8, 9, 7, 6,7, 7, 7, 9, 7, 9, 8,8, 9, 8, 6, 6, 7, 7, 6,6, 7, 9, 8, 9, 9, 10.

1 Prepare a frequency table for the information.

2 Draw a bar chart to show the information

Exercise 1

3 Which size has the least frequency?

4 Which size has the highest

frequency?

5 What is the relative frequency of the sandals with the highest frequency?

6 What is the relative frequency of choosing a sandal with size 7?

95

Unit1 Countinginbasetwo

Complete the table.

Base 10 0 1 2 3 4 5 6 7 8 9 10 11 12

Base 2

Base 10 13 14 15 16 17 18 19 20

Base 2

Unit 2 Conversion of base 10 to binary numbers

Convert the following numbers in base 10 to numbers in base 2.1 13 2 16 3 21 4 24

___________ ___________ ___________ ______________________ ___________ ___________ ___________

5 33 6 48 7 50 8 77

___________ ___________ ___________ ___________

___________ ___________ ___________ ___________

Unit 3 Conversion of binary numbers to base 10

Convert the following binary numbers to base 10.

Chapter 36 Binary numbers

Exercise 1

Exercise 1

Exercise 1

1 11two_________________________________

5 11111two_________________________________

2 101two_________________________________

6 1100101two_________________________________

3 110two_________________________________

7 1010101two_________________________________

4 1001two_________________________________

8 1100111two_________________________________

96

Unit 4 Addition of binary numbers

Find the sum of the following binary numbers.

1 1 1 2 1 0 1

+ 1 0 + 1 1 1

________ ______________

________ ______________

3 1 1 0 1 4 1 1 1 1

+ 1 0 1 1 + 1 0 1 1

__________ _______________

__________ _______________

Work out these sums.

5 101two + 110two + 111two

___________________________________________________________________

___________________________________________________________________

6 1011two + 1111two

___________________________________________________________________

___________________________________________________________________

7 110111two + 100111two

___________________________________________________________________

___________________________________________________________________

8 111111two + 1011two

___________________________________________________________________

___________________________________________________________________

Exercise 1

97

Unit 1 Location of points on the grid

1 Give the number pair for each point on the graph below.

a) A = _________ b) B = _________ c) C = _________

d) D = _________ e) E = _________ f) F = _________

g) G = _________ h) H = _________

2 Use the graph on page 98 to answer the following questions.

a) Write the vertices L, K, J, I

i) L ( ), k( ), J( ), I( )

ii) What type of shape is LKJI? ____________

b) i) Write is the vertices of O( ), M( ) and N( ).

ii) What is the name of OM ? and MN? ____________

3 i) What type of shape is ABCD?

ii) Write the vertices A( ), B( ), C( ) and D( ).

4 i) Write the vertices E( ), F( ), G( ) and H( ).

ii) What is the name of the shape EFGH?

Chapter 37 Points on a grid

Exercise 1

9

9

7

7 10 11 12

5

5

3

3

1

1

8

8

6

6

4

4

2

20

H G

B

F

C

E

D

A

98

Unit 2 Plotting points and shapes on a grid

1 Use the square paper on ages 99 and 100 to answer the following questions.

Plot the following pair of numbers.

a) A(0, 0), B(2, 2), C(4, 0)

b) Join AB and BC

c) What type of shape is it? _______________________________

2 On the same graph,

a) plot D(2, 6), E(6, 6), F(6, 4) and G(2, 4)

b) join DE, EF, FG and GD.

c) what type of shape is it? _______________________________

d) findtheperimeterandthearea(Userulertomeasurethelengths)

_____________________________________________________________

_____________________________________________________________

3 On the same graph,

a) plot H(10, 3), I(8, 3), J(8, 0) and K(12, 10)

b) Join HI, IJ, JK and KH.

c) what type of shape is it? _______________________________

d) findtheperimeterandarea(Userulertomeasurethelengths)

Exercise 1

9

9

7

7 10 1112

5

5

3

3

1

1

8

8

6

6

4

4

2

20

O M N

B

C

KL

I JH G

E F

D

A

13 14 15

10

99

________________________________________________________

________________________________________________________

4 a) Copy this grid and locate the following number pairs on it (using squared

paper (graph)) A(2, 2), B(8, 2), C(8, 0), D(12, 0), E(12, 2), F(16, 4), G(12,

6), H(12, 8), I(8, 8), J(8, 6) and k(2, 6).

b) Join the following AB, BC, CD, DE, EF, FG, GH, HI, IJ and JK.

c) i) Name the shapes that make up the whole shape.

ii) Which of the shapes are similar but not the same size?

i) _________________________________________________________

ii) _________________________________________________________

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