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Text Book Series

MATHEMATICS

CLASS FIVE

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TEST TAKING S TRATEGIES

Remember these six test-taking strategies that will help you do well on tests.

A. Understand The Question Look for important words Turn the question into a statement: I need to find out .

B. Get Information For The Answers Get information from text Get information from pictures, Maps, Diagrams, Tables, Graph

C. Plan How To Find The Answer Think about problem-solving Choose calculating methods

D. Make Smart Choices Eliminate wrong answers Try working backward from an answer Check answers for reasonableness and estimate

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E. Use Writing In Math Make your answer brief but complete Use words from the problem and use Math terms accurately Describe steps in order Draw pictures if they help you to explain your thinking

F. Improve Written Answers Check if your answer is complete Check if your answer is clear and easy to follow Check if your answer makes sense

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TABLE OF CONTENT

1.0 NUMBERS AND NUMBERALS UP TO 1,000,0001.1 Number names for numerals up to 1,000,0001.2 Comparing numbers up to 1,000,0001.3 Try test 1

2.0 SET OF NUMBERS

2.1 Multiples and factors of numbers

2.2 Prime numbers and test for factors

2.3 Subsets of numbers

2.4 Try Test 2

3.0 COLLECTING AND HANDLING DATA

3.1 Block graph and bar graph

3.2 Stem-and-leaf

3.3 Try Test 3

4.0 ADDITION AND SUBTRACTION

4.1 Adding 5-digit and 6-digit number

4.2 Word problems involving addition

4.3 Subtraction from 4-digit, 5-digit or 6-digit numbers

4.4 Word problems involving subtraction

4.5 Try Test 4

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5.0 MEASUREMENT OF LENGTH, CAPACITY AND MASS

5.1 Lengths of line segments

5.2 Changing units of measure

6.0 SHAPE AND SPACE I

6.1 Lines and Rays

6.2 Angles

6.3 Types of Triangles

6.4 Congruent sides and congruent angles

6.5 Measurement of angles

6.6 Try Test 6

7.0 MULTIPLICATION AND DIVISION

7.1 Multiplication of a four-digit number by a one-digit number

7.2 Multiplication of a 3-digit number by a 2-digit number

7.3 Estimating the product

7.4 Dividing a 3-digit number by 1-digit number

7.5 Rounding off numbers and estimating the quotients

7.6 Word Problems involving multiplication

7.7 Try Test 7

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8.0 SHAPE AND SPACE II

8.1 Vertices of plane shapes

8.2 Solid Shapes

8.3 Try Test 8

9.0 AREA AND VOLUME

9.1 Area

9.2 Area of a rectangle

9.3 Area of a square

9.4 Volume

9.5 Volume of cuboids and cubes

9.6 Try Test 9

10.0 OPERATION ON FRACTIONS

10.1 Addition of fractions with different denomination

10.2 Word Problems

10.3 Subtraction of fractions with different denominators

10.4 Word Problems

10.5 Multiplication of a fraction by a whole number

10.6 Multiplication of a whole number by a fraction

10.7 Division of fraction by whole numbers

10.8 Try Test 10

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11.0 DECIMAL FRACTIONS AND PERCENTAGES

11.1 Decimal Fractions

11.2 Changing fractions to decimals

11.3 Changing decimals to fractions

11.4 Changing simple fractions to percentage

11.5 Changing percentages to fractions

11.6 Try Test 11

12.0 COLLECTING AND HANDLING DATA II

12.1 Finding the mode

12.2 Finding the median

12.3 Finding the Median and Mode from stem-and-leaf plot

12.4 Try Test

13.0 NUMBER PLANE

13.1 Position of objects in rows and columns

13.2 Points in the number plane

13.3 Ordered Pairs

13.4 Try Test 13

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14.0 RATIO

14.1 Finding ratio in simplest from

14.2 Try Test 14

15.0 INVESTIGATIONS WITH NUMBERS

15.1 Properties of operations of real numbers

15.2 Using different operations with numbers

15.3 Relationship involving only one-digit number to represent a given

number

15.4 Patterns in calendar numbers

15.5 Triangular and square numbers

15.6 Ordered pairs and relations

15.7 Try Test 15

16.0 MEASUREMENT OF TIME

16.1 Conversion of time from one unit into another

16.2 Addition and subtraction

16.3 Calendar

16.4 Try Test 16

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TERM FORCAST

FIRST TERM

2.0 2.1 2.2 2.3 2.4 3.0

3.1 3.2 3.3 4.0 4.1 4.2

4.3 4.4 4.5 5.0 5.1 5.2

6.0 6.1 6.2 6.3 6.4 6.5

6.6 7.0 7.1 7.2 7.3 7.4

7.5 7.6 7.7 8.0 8.1 8.2

8.3 9.0 9.1 9.2 9.3 9.4

9.5 9.6

SECOND TERM

10.0 10.1 10.2 10.3 10.4 10.5

10.6 10.7 10.8 11.0 11.1 11.2

11.3 11.4 11.5 11.6 12.0 12.1

12.2 12.3 12.4 13.0 13.1 13.2

13.3 13.4 14.0 14.1 14.2 15.0

15.1 15.2 15.3 15.4 15.5 15.6

15.7 16.0 16.1 16.2 16.3 16.4

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1.0 NUMBERS AND NUMERALS UP TO 10,000There are many ways to represent a number. We would take a look at only two of

them in this unit. They are numerals and number names.

1.1 NUMBER NAMES FOR NUMERALS UP TO 1,000,000We can extend then numbers we have lent so far to 1,000,000 (seven-digit

number). The numeral form uses the symbols used to write numbers: 0, 1, 2, 3,

4, 5, 6, 7, 8 and 9. The number name is the word form of numerals.

Example A

Write the numeral for the following number names.

a) Seven million, six hundred and twenty-eight.b)Nine million, two hundred and fifty-four.c) Three hundred thousand, three hundred and ninety.

a) 7000628b)9000254c) 300390

Example B

Write the number names for the following a numerals.

a) 47023b)6020678c) 30428

a) Forty seven thousand and twenty-three.b)Six million, twenty thousand, six hundred and seventy-eight.c) Thirty thousand, four hundred and twenty eight.

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TRY TEST

1. Write the numerals for the following;a) Six thousand and seventy-two.b)

Nineteen thousand, nine hundred and sixteen.c) Twenty-four million, nine hundred and nine.

2. Write the number names for the following;a) 40302b)7305c) 874044

NOTE: In order to write numerals for number names, listen to yourself as you

pronounce the numeral. That is;

Twenty one thousand and thirty two

= 21,000 + 32 = 21032

1.2 COMPARING NUMBERS UP TO 1,000,000

To compare numbers, we follow some rules. The rules are;

Rule (1): Count the number digits. The number having more digits is greater than

the other with fewer digits. Look at the following pair of numbers.

a) 4976 and 923b)5027 and 68c) 4976 923

4 digits 3 digits

d)5027 684 digits 2 digits

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Rule (2): If the two numbers have the same number of digits, star comparing the

digits from the extreme left place of the numbers. The number having the greater

digit on the extreme left is greater. Consider the numbers 4897 and 7269.

4897 7269

Since 4 7

Rule (3): If the two digits from the extreme left of both the numbers are the same,

then we compare the third digit from the left of the number and so on. Take a

look at the following.

a) 3 8 8 6 3 8 9 2

b) 9 1 4 3 6 7 9 1 4 3 6 2

Thus, starting from the extreme left, we compare the numbers the numbers digit

by digit until the greater number is decided.

Example A

Which is smaller, 6028 or 5937?

6028 and 5937 have the same number of digits.

6 0 2 8

5 9 3 7

6 5 hence 6028 5937

Thus 5937 is smaller than 6028.

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Example B

Which one is greater, 75369 or 75469?

75369 and 75469 have the same number of digits.

7 5 3 6 9

7 5 4 6 9

3 4

Hence 75369 75469

Thus, 75469 is greater than 75369.

Example C

Arrange the following numbers in ascending order.

365780, 367890, 5388, 20367 and 20362.

365780 367890 5388 20367 20362

6-digit 6-digit 4-digit 5-digit 5-digit

3 6 5 7 8 0 2 0 3 6 7

3 6 7 8 9 0 2 0 3 6 2

5 7 7 2

367890 365780 20367 20362

Hence, arranging the numbers in ascending order, we have;

5388 , 20362 , 20367 , 365780 , 367890

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TRY TEST

1. write the numbers between the follow;a) 2678 and 2683 c) 8909 and 8914b)

3997 and 4002 d) 15546 and 16551

2. Write the numerals for the following.a) Seven million and nine.b)Thirty-two million and fifty-four.

3. Write the number names for the following;a) 712367b)500609c) 834044d)310276

4. Arrange the following numbers in descending order,2468 , 63421 , 743 , 110324 , 110342.

5. Compare the following numbers with or a) 7234 7324 c) 2899 5971b) 8018 710 d) 6012 1026

6. There are 1880 boys and 1808 girls in a school. Which group is larger,

boys or girls.

6. Owusu earns GH4097 per year and his brother earns GH4097. Whoearns more?

7. A function was attended by 2570 adults and 1275 children. Who weremore, adults or children?

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2.0 SET OF NUMBERS

A set is a collection of objects or things of the same kind or type. For example, a

set of rainbow colours are red, orange, yellow, green, blue, indigo, violet. The set

of whole numbers is a clearly defined collection of numbers 0, 1, 2, 3, 4, 5,etc.

Set of objects are usually contained in a curly bracket. The symbol for curly

bracket is

For example the set of the first five alphabets is written as a, b, c, d, e .

Each item is separated by a comma ( , ).

Example A

List the members in the following sets.

a) The set of vowelsb)The set of counting numbers

a) a , e , i , o , u b) 1 , 2 , 3 , 4 , 5.

Example B

List the numbers in the following sets.

a) Whole numbers between 20 and 28b) Even numbers between 20 and 30

a) 21, 22, 23, 24, 25, 26, 27b) 22, 24, 26, 2

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TRY TEST

1. Find the elements of the sets define below.a) Even numbers between 26 and 36.

b)Natural numbers less than 10.

c) Prime numbers between 30 and 50

d)Multiples of 4 less than 18

2.2 MULTIPLES AND FACTORS OF NUMBERS

A multiple of a number, when divided by the number itself, leaves zero as the

remainder. For example, 28 is a multiple of 7. That is, when 28 is divided by 7

the result is exactly 4.

Consider the multiplication facts, 8 x 5 = 40.

40 is the product of 5 and 8.

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40 is the multiple of 5. 40 is also the multiple of 8. 5 and 8 both divide to

exactly. Look at the following.

1 x 8 2 x 8 3 x 8 4 x 8 5 x 8

8 8 8 8 HG8

8, 16, 24, 32, 40 are all multiples of 8.

Thus, by multiplying a number by 1, 2, 3, and so on we get the multiples

of the number.

Example A

What are the first four multiples of a) 2 b) 7

a) 2, 4, 6, 8 b) 7, 14, 21, 28

Example B

Find the first three multiples of 6.

6 x 1 = 6, 6 x 2 = 12, and 6 x 3 = 18.

Hence, the first three multiples of 6 are 6, 12 and 18.

Example C

Find the multiples of 11 which lie between 50 and 80.

11 x 4 = 44; 11 x 5 = 55; 11 x 6 = 66;

11 x 7 = 77; 11 x 8 = 88.

Now, 44 50 and 88 80.

The multiples of 11 which lie between 50 and 80 are 55, 66, 77.

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Example D

Is 744 a multiple of 24?

Let us first find whether 744 is divisible by 24.

31

24 744

- 72

24

24

We find 24 x 31 = 744; remainder = 0

Hence, 744 is a multiple of 24.

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FACTORS

If a given number is divisible by another leaving non remainder, the two numbers

are both factors of the given number.

Consider the multiplication fact 10 x 2 = 20. We have learnt that 20 is amultiple of 10 and also of 2. We say 10 is a factor of 20. 2 is also a factor of 20.

That is, 10 divides 20 exactly and 2 divides 20 exactly.

Now, in order to find out all the factors of 20.

20 can be written as 1 x 20 = 20; 2 x 10 = 20; 4 x 5 =

20. Thus the factors of 20 are 1, 2, 4, 5, 10 and 20.

Note: For every number, 1 is the smallest factor and the greatest is the number

itself.

Example A

Find all the factors of 12.

1 x 12 = 12 1 and 12 are factors of 12.



Example B

Write all the factors of 30

1 x 30 = 30; 2 x 15 = 30; 3 x 10 = 30; 5 x 6 =

30.

Thus, all the factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30.

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Example C

a) 9 b) 719 171 171 is divisible by 19 28 200

- 171 thus, 19 is a factor of 171 - 1960 4

200 is not exactly divisible by 28 since it leaves a remainder other than zero.

Thus, 28 is not a factor of 200.

2.2 PRIME NUMBERS AND TEST FOR FACTORSA prime number is a counting number that has exactly two factors, 1 and itself.

For example, 5 is a prime number because its factors are only 1 and 5. Note

that 1 is not a prime number because it has. Only one factor not two. 8 is not a

prime number because it has more than two factors i. e 1, 2, 4 and 8.

Numbers like 8 that have more than two factors are called composite numbers.

A method known as Eratosthenes sieve is used in finding prime numbers. It is as

follows;

1. In your book write the numbers from 1 to 50 in ten rows.2. Cross out 1; 1 is not a prime number.3. Cross out all the multiples of 2, except 2.4. Cross out all the multiples of 3, except 3.5. 4 and its multiples are already crossed out. Next cross out all the multiples

of 5, except 5, and so on.

6. Proceed is this manner. Finally circle all the numbers which are not crossedout. These are the prime numbers between 1 and 50.

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1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

FACTOR TREE AND PRIME FACTORS

When a factor is also a prime number, it I called prime factor. We can use a factor

tree for prime factorization. Factor tree help us to write a number as a product of

its prime numbers knowing the multiplication tables will help you do this quickly.

Take a careful look at the following examples.

Example A Example B

6 12

2 3 2 6

6 = 2 x 3 2 3

12 = 2 x 2 x 3

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Example C

18

2 9

3 3

18 = 2 x 3 x 3

TRY TEST

Sometimes it may be possible to find the factors of a number by inspecting the

digits of the number. A divisibility rule determines if a whole number is divisible

by another number. Divisibility rules are useful when it is required to determine

factors of given number. The rule for divisibility for 2, 3, 4, 5, 6, 7, 8, 9

and 10 are given below.

Rule 1: A number is divisible by 2. If the last digits of the number is even or 0.

Rule 2: A number is divisible by 3. If the sum of the digits of the number isdivisible by 3.

Rule 3: A number is divisible by 4. If the number formed by its last two digits is

divisible by 4.

Rule 4: A number is divisible by 5. If its last digit is either 5 or 0.

Rule 5: A number is divisible by 6. If the unit digit is even and the sum of its

digits is divisible by 3.Rule 6 : A number is divisible by 7. If the unit digit is doubled and subtracted

from the number formed by the remaining digits; the result is divisible by 7.

Rule 7: A number is divisible by 8. If the number formed by its last three digits is

divisible by 8.

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Rule 8: A number is divisible by 9. If the sum of its digits is divisible by 9.

Rule 9: A number is divisible by 10. If the last digit is 0.

2.3 SUBSETS OF NUMBERS

A subset is a set formed from an existing set. Objects in the subset are all found in

the original set. Every set has the empty set as its subset. An empty set is a set

without any member. It is represented by or . An empty set is also

known as a null set.

Example A

Make 4 subset from the set 1, 2, 3, 4, 5, 6

a) 1, 2, 3 b) 4, 5, 6

c) 1, 3, d) 3, 4, 5

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TRY TEST

1. Complete the followinga. Kofi, Ama, Adwoa, . , .. , ..b. Chair, Pencil, reading book, . , .. ,

2. Name each of the collection in question 1.a. b.

3. Find the elements of the sets defined below.a. Even numbers between 26 and 36.

b. Prime numbers less than 10.

4. Describe the following sets.a. 4, 6, 8, 10 is

b. 3, 6, 9, 12, 15 is .

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5. Write the following numbers.a. Multiples of 6 which lie between 25 and 50.

b. Multiples of 8 which lie between 40 and 80.

6. Write True or Falsea. 72 is a multiple of a

..

b. 62 is a multiple of 7.

7. Write all the factors of the following.a. 14 b. 3 c. 36 d. 30

8. Write down the set of prime numbers.a. Between 1 and 20.b. Between 30 and 40.

9. Write out the product of the prime factors of the following.a. 18 b. 30 c. 36 d. 16

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10. Fill in the gaps.a. 8 , , 24 , , , 40

b. 49, , , , , 14 , 7

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3.0 COLLECTING AND HANDLING DATA BLOCK GRAPH

Block graph is a chart for representing data. It consists of a wet of block stacked

in columns of different height. One block represents one observation. Block

graphs are useful in crating visual representations of the number of occurrences

of different categories of event.

Example A

represent the information below by a block graph.

Below is a table of the length ofpupils pencils.

Length of Pencils

N0: of Pupils

6-7 cm

10

8-9 cm

11

10-11 cm

18

12-13 cm

8

14-15 cm

9

19

17

15

13

11

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9

7

5

3

1

6-7 cm 8-9 cm 10-11 cm 12-13 cm 14-15 cm

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TRY TEST

Represent the following information in a block graph.

CLASS N0:

OF GIRLS

Basic 1

18

Basic 2

14

Basic 3

12

Basic 4

11

Basic 5

10

Basic

9

19

17

15

13

11

9

7

5

3

1

Basic 1 Basic 2 Basic 3 Basic 4 Basic 5 Basic 6

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BAR GRAPH

Bar Graph is a chart for representing statistical data. It consists of a set of vertical

bars of different heights. The bar graphs are useful in creating visual

representations of the number of occurrences of different categories of events.Example B

The bar graph below shows the choices the choices of primary five pupils who

were asked to name their favourite drink.

8

7

6

5

Number 4OfPeople

3

2

1

Tea Coffee Milo Cocoa

Favorite Drink

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Use the graph to answer the following questions.

1. What is the total number of pupils in the class?

2. How many pupils selected Milo?

3. What is the maximum number of pupils who chose a particular drink?

4. How many more pupils chose tea over Cocoa?

5. How many pupils chose the two least drinks in the class?

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3.2 STEM-AND-LEAF

Information displayed on a stem-and-leaf plot helps for easy understanding and

comparison.

Example A

Make a stem-and-leaf plot for the numerical values below and find how many

members are in the;

a) 10s b) 20s c) 30s d) 40s

26 19 21 13 28 20 17

26 23 28 22 17 32 41

35 12 30 25 22 32 34

36 24 27 33 13 18 21

26 39

STEM LEAF

1 9, 3, 7, 7, 2, 3, 8

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

3 2, 5, 0, 2, 4, 6, 3, 9

4 1

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NOTE: The first number of the figure is the stem and the second number is the

leaf.

a) There are 7 members in the 10s.b)There are 14 members in the 20s.c) There are 8 members in the 30s.d)There is 1 member in the 40.

3.3 TRY TEST

1. The graph below shows the days of the week on which pupils were born.

10

9

8

7

6

5

4

3

2

1

Mon Tue Wed Thur Fri Sat Sun

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Answer the following questions.


2. Which day has the highest number of pupils born?

3. Which day has the least number of births?

4. How many pupils were born on Sunday?

5. How many pupils were born on Monday and Wednesday?

6. How many pupils were born on Friday and Sunday?

2. Below is the number of marks scored by some pupils in a school inexamination.

66 63 67 46 62 42 32 46

59 60 47 38 58 64 66 49

65 60 59 58 52 50 68 66

43 66 53 61 66 56 62 50

43 60 53 61 66 56 62 50

62 59 62 46 58 57 40 44

Represent the information a stem-and-leaf plot and use it to answer the questions

below.

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2. What is the highest mark in the examination?

3. What is the lowest mark in the examination?

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4.0 ADDITION AND SUBTRACTION

We learnt about how to add 3-digit or 4-digit numbers in book 4. In this unit we

will learn how to add 5-digit or 6-digit numbers. The basic idea is that numbers

can be broken apart and combined in many ways.

Example A

Arrange the numbers in columns and follow these steps.

Step 1

Th H T O Add the ones. 3 + 1 = 4

4 2 5 3 Write 4 in the ones column.

+ 2 6 3 1

4

Step 2


4 2 5 3 Write 8 in the tens column .

+ 2 6 3 1

8 4

Step 3


4 2 5 3 Write 8 in the hundreds column .

+ 2 6 3 1

8 8 4

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Step 4


4 2 5 3 Write 6 in the thousands column .

+ 2 6 3 1

6 8 8 4

Thus, 4253 + 2631 = 6884

4253 and 2631 are called addends. 6884 is the sum of 4253 and 2631.

4 2 5 3 Addend

+ 2 6 3 1 Addend

6 8 8 4 Sum

Example B

Add 53042 and 32321.

Step 1

Tth Th H T O

5 3 0 4 2 Arrange the digits of the given numbers in

+ 3 2 3 2 1 columns.

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Step 2

Tth Th H T O

5 3 0 4 2 Add the ones

+ 3 2 3 2 1

3

Step 3

Tth Th H T O

5 3 0 4 2 Add the tens.

+ 3 2 3 2 1

6 3

Step 4

Tth Th H T O

5 3 0 4 2 Add the hundreds.

+ 3 2 3 2 1

3 6 3

Step 5

Tth Th H T O

5 3 0 4 2 Add the thousands.

+ 3 2 3 2 1

5 3 6 3

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Step 6

Tth Th H T O

5 3 0 4 2 Add the ten thousands.

+ 3 2 3 2 1

8 5 3 6 3

Thus, 53042 + 32321 = 85363

In add six-digit numbers, we follow the same method.

Example C

Hth Tth Th H T O Add 314382 and 653012

3 1 4 3 8 2

+ 6 5 3 0 1 2

9 6 7 3 9 4

The sum is 967394.

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Example D

Add 406905 and 456184

Arrange the numbers in columns as shown below.

Hth Tth Th H T O

1 1

4 0 6 9 0 5

+ 4 5 6 1 8 4

8 6 3 0 8 9

Add the ones. 5 + 4 = 9

Add the tens. 0 + 8 = 8

Add the hundreds. 9 + 1 = 1 0

Carry to thousands

Add the thousands. 1 + 6 + 6 = 1 3

Carry to ten thousands

Add the ten - thousands. 1 + 0 + 5 = 6

Add the hundred-thousands. 4 + 4 = 8

The sum is 863089.

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4.2 WORD PROBLEMS INVOLVING ADDITION

In mathematics, words and phrases like sum, total altogether and in all

represents addition.

Example A

A shopkeeper has 1673 bags of wheat, 3670 bags of rice and 546 bags of cereals in

his store. Find the total number of bags of grains in his store.

Numbers of bags of wheat = 1 6 7 3

Number of bags of rice = 3 6 7 0

Number of bags of cereals = + 8 8 9

The shopkeeper has 5889 bags of grains in his store.

Example B

Richric earns GH88368 more than Eric in a year. If Eric earns GH109794

yearly, how does Rich earn in a year?

Erics yearly earnings = GH109794

Richrics earnings = Erics earnings + GH88368

= GH109794 + GH88368

= GH198162

Richric earns GH198162 in year.

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4.3 SUBTRACTUIB FROM 4-DIGIT, 5-DIGIT OR 6-DIGIT NUMBERS

We subtract a 5 or 6-digit number from another number in the same way as we

subtract a 4-digit number from another number.

Example A

Subtract 4623 from 8935.

Arrange the number in columns with the greater number above the smaller one

and follow these steps.

Step 1

Th H T O subtracts the ones. 5 - 3 = 2

8 9 3 5 Write 2 in the ones column of the

answer.

- 4 6 2 3

2

Step 2


8 9 3 5 Write 1 in the tens column.

- 4 6 2 3

1 2

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Step 3


8 9 3 5 Write 3 in the hundreds column.

- 4 6 2 3

3 1 2

Step 4


8 9 3 5 Write 4 in the thousands column.

- 4 6 2 3

4 3 1 2

8935 - 4623 = 4312

4312 is the difference of 8935 and 4623.

In a subtraction, the number from which another number is subtracted is called

the minuend. The number which is being subtracted is called the subtracted the

answer we get after subtraction is called the difference.

8 9 3 5 Minuend

- 4 6 2 3 Subtracted

4 3 1 2 Difference

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4.4 WORD PROBLEM INVOLIVING SUBTRACTION

Example A

A farmer produced 2556 bags of wheat in 2002 and 1298 bags of wheat in 2003.

In which year did he produce more wheat and by how much?

Amount of wheat produced in 2002 = 2556 bags.

Amount of wheat produced in 2003 = 1298 bags.

= 1258

The farmer produced 58 more bags of wheat in 20

Example B

There are 32837 teak tress in two farms. If there are 19345 trees in one farm,

how many are there in the other?

Total number of trees in the two farms.

= 32837

Number of trees in one farm = 19345

Number of trees in the second farm = 328237 - 1934

= 13492

There are 13492 trees in the second farm.

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Example C

A house costs GH506000. Baduwaa much more money is required, if she wants

to buy this house?

The cost of the house = GH506000

Amount with Baduwaa = GH14890

The amount required = GH506000 - GH148690

= GH357310

Baduwaa needs GH357310 more to buy the house.

TRY TEST

1. Add the following numbers.(a) 6 4 8 6 4 Th Th H T O

8 7 6 3 7

(b) 5 6 5 9 2 Th Th H T O+ 3 2 3 0 6

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(c) 8 5 3 1 7 Th Th H T O+ 1 4 2 8 1

(d) 6 3 2 5 7 Th Th H T O

2 5 4 8 6

4 4 6 7 2

2. Add the following numbers.(a) 6 6 4 2 5 3 9 0 4 7 9 2

2 1 8 5 8 1 2 1 3 1 3 1

+ 7 2 4 0 0 3 + 4 6 2 3 1 5

(b) 6 3 6 3 7 4 7 8 5 4 2 6+ 7 2 4 0 5 4 + 5 3 3 7 9 3

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3. Arrange in columns and add;(a) 756387 and 893108(b) 845617 and 978346(c) 513580 and 234789(d) 733345 and 334556

4. Find the sum(a) 456654 + 445676(b) 554432 + 223432(c) 44322 + 33224(d) 334451 + 776683

5. There are 46783 beads in one packet and 52421 beads in another. If all thebeads are put together in one bag, how many beads will there be?

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6. The number of students in two shifts of a school are 72342 and 93459. Howmany students are there in all the school?

7. Subtract the following;

(a)

4 9 3 2 (b) 8 3 4 6

- 3 9 2 1 - 1 2 2 4

(C) 9 5 6 8 (d) 7 3 5 2

- 5 3 3 2 - 4 2 2 0

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8. A man bought 20503 bananas. He sold 19783 of them in a day. How manybananas were left unsold that day?

9. Toffees were bought to be distributed among 32004 children on childrensday. It was found that there were only 28768 toffees. How many more

toffees have to be bought so that all the children get one toffee each?

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10. Sarah earned GH21290 in year. He saved GH18752. How much didshe spend during the year?

c5 maths tb

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