The City SchoolPECHS Girls Campus

Mathematics Question Bank Term 1 2017

FACTORS AND MULTIPLESQ1. List all factors of the following numbers and circle the prime factors.

a) 120b) 48c) 50d) 9e) 15f) 7

g) 24h) 30i) 75j) 66k) 100l) 54

m) 42n) 36o) 25p) 18

Q2. Find the common factors of the following numbers.a) 24,30,36b) 20,30,40c) 10,25

d) 4,8 ,16e) 12,18,24f) 36,63,108

g) 15,21,27

Q3. Find the prime factors of the following numbers. Express each number as a product of prime numbers, using indices (index notations) when needed.

a) 12b) 64

c) 72d) 56

e) 144f) 96

Q3.a) List all the factors of 40.b) List the prime factors of 40.c) Write 40 as a product of prime factors.(Multiply out to check your answer)d) Write down the first three multiples of 40.Q4. 1 , 4 , 30 , 45 , 5 , 9 , 1500 , 3 , 10From the list choose:

a) The multiples of 15 b) The factors of 15

Q5. Use a factor tree to find the prime factors of 250.Write your answer:a) As a list of prime factors b) As a product of prime factors

Q6. Write down all the prime numbers between 20 and 40

Q7. Which of the following numbers are prime numbers ? 37 , 49 , 53 , 81 , 87 , 93 , 101

Q8. Write down a list of numbers between 80 and 90.Including 80 and 90.From your list:

a) Two prime numbers b) Three multiples of 5 c) A factor of 348

Q9. List all the factors of:a) 20b) 15

c) 12d) 18

e) 8f) 35

Q10. List the first six multiples of:a) 9 b) 12 c) 15

Q11.Write each of these using index notations.a) 3x3x3x3b) 7x7x7x7x7x7x7x7x7x5x5x5

c) 8x8x8x8x6x6x6x9x9x9x9x9x9d) 4x4x4x4 x 4x4x4x4x4x4

Q12. Write each of these numbers in full and find its value.a) 35

b) 52

c) 45

d) 107

e) 43

f) 2003

Q13. Find all the common factors and H.C.F and L.C.M of each of the following sets

and numbers.

(a) 8 and 12 (c) 12 and 15 (e) 12 and 20

(b) 9 and 12 (d) 15 and 18 (f) 16 and 20

Find the H.C.F of each of the following set of numbers

(a) 20 and 30 (c) 21 and 35 (e) 32 and 40

(b) 25 and 30 (d) 27 and 36 (f) 27 and 45

(a) 42 and 48 (b) 45 and 60 (e) 40 and 60

(b) 36 and 54 (d) 56 and 60 (f) 63 and 72

Q14. Find L.C.M of the following.a) 6 ,14 b) 3 , 9 , 10 c) 8 ,5 , 10

Q15. Test 21603 for divisibility by 2 , 3 , 5 and 9. Explain your reasoning.Q16. Test 515196 for divisibility by 2 , 3 , 5 , 6 and 9. Explain your reasoning.Q17. Calculate how many squares of side length 1 cm are there in squares with the following side lengths.a) 100 cmb) 11 cm

c) 18cmd) 12 cm

e) 13 cmf) 15 cm

Q 18. Work out the square roots of the following numbers. Give positive roots.a) 225b) 324

c) 256d) 9801

Q19.Work out the positive square roots of the following decimals.a) 0 .25b) 0.49

c) 0.64d) 0.81

e) 1.44f) 1.69

Q20. How many 1cm x 1cm x 1cm cubes would make up cubes with the following side lengths?a) 4 cmb) 6 cm

c) 10 cmd) 9 cm

Q21. Work out the cube roots of the following numbers.a) 512b) 1000

c) 729d) 216

Q22. Work out the following:a) √25b) √9

c) √121d) √169

Q23.Write down :a) The square of 8b) Square root of 16

c) 23

d) √81e) √100f) 103

Q24. Evaluate the following without using calculator.a) b) c) d)

INTEGERS

Q1.Write each of these integers in order, lowest first.a) +6 , -3 , + 9 , -5 , -1b) +9 , -8 , -2 , +6 ,0 , -3

c) +12 , +43 , -21 , +56 , -100d) +7 , +3 , -1 , +65 , -1000

Q2.Compare each pair of integers using the symbols >, < or =. a) –19 ------ –3 b) –2 ------ 17c) –8 ------ 0

d) –18 ------ 16e) 11 ------ –4 f) –2 ------ –11

g) 8 ------ –5h) –18 ------ –20i) – 7 ------ 7

Q3. Representation of Integers Statement Integer1 ) Melanie lost 35 pounds after working out and dieting. ______ 2 ) Melanie has to pay a 39 dollar penalty for driving too fast. ______ 3 ) Jason picked 12 pears at the orchard. ______ 4 ) Tim has 32 books in his library. ______ 5 ) The stock market dropped 23 points after the bad economic news yesterday. ______ 6) The temperature fell 27 degrees overnight. ______ 7 ) There are 32 oak trees currently in the park. ______ 8 ) Joan grew 14 carrots on his farm. ______ 9 ) Tom went to 39 baseball games this year. ______

10 ) Sandy has 11 orange balloons in her collection. ______ 11 ) Sally has 370 dollars in her bank. ______ 12 ) Sally lost 22 quarters because she did not put the money in her piggy bankQ4.Find the new temperature for each of the following.a) The temperature is –5 0C and rises by 15 0C. _____________b) The temperature is –8 0C and rises by 12 0C. _____________c) The temperature is 20 0C and rises by 10 0C. _____________d) The temperature is –3 0C and rises by 8 0C. _____________e) The temperature is 3 0C and falls by 15 0C. _____________f) The temperature is 8 0C and falls by 12 0C. _____________g) The temperature is –4 0C and falls by 5 0C. _____________h) The temperature is 5 0C below zero and falls by 16 0C. _____________

Q5. Work out the following: (-5) + (-4) = (-4) × (-7) = (+6) - (-2) = (-3) + (+1) = (-18) ÷ (-6) =

(-10) × (+5) = (-20) × (-7) = (+8) × (+3) = (+9) + (-3) = (+3) × (-1) =

(-4) - (-1) = (+6) + (-5) = (-3) + (+9) = (-5) × (+3) = (-3) ÷ (+3) =

(+8) × (+4) = (-4) + (-5) = (+8) ÷ (-2) = (-9) + (-4) = (+6) × (+3) = (-7) - (+2) =

(+2) × (-4) = (-40) ÷ (-8) = (+28) ÷ (+4) = (+48) ÷ (-8) = (-15) ÷ (+5) = (+24) ÷ (+4) =

(-40) ÷ (+5) = (+3) + (-8) = (-6) ÷ (-3) = (+50) ÷ (+10) = (+24) ÷ (+4) =

(-3) × (+3) = (-3) ÷ (-6) = (+8) + (-9) = (-5) × (+5) =

Q6. Copy and complete the following, writing in the missing numbers to make the calculations correct.

a) _________ x (+5)= +25b) _________ x (–3)= – 21c) ___________ x (– 5)= – 20

d) +6 x ________ = –42e) – 7 x ________ = – 28 f) – 8 x _________ = +32

Q7. Copy and complete this multiplication gridx –3 –2 –1 0 1 2 3

3 –3 +6

2

1 +2

0 0 0

–1 –3

–2

–3

Q8.The table gives pairs of numbers x and y which add together to make 8.x + y = 8Complete this table.x 5 4 3 2 1 0 –1 –2 –3 –4 –5

y

Q9. If p + q = – 3 Complete this table.p 5 4 3 2 1 0 –1 –2 –3 –4 –5

q

FractionsQ10. Simplify the given fractions to its lowest term.

a) b)

c) d)

e) f)

Q10. How many sweets would be in a bag of 28 sweets after of them had been eaten? ______________________________________________________________Q11.One third of a class of 45 students has gone away on a field trip. How many students have gone on a trip? ___________________________________________

Q12. Arrange the following set of fractions in ascending order.

a)14 ,

15 ,

18 ,

13

(b) 34 ,

58 ,

1 ¿ 2 ¿¿

¿ ,

23

(c) 35 ,

310 ,

12 ,

34

(d) 57 ,

12 ,

34 ,

914

Q. 13. Arrange the following set of fractions in descending order.

a) 34 ,

23 ,

46 ,

1 ¿ 2 ¿¿

¿

(b) 56 ,

23 ,

59 ,

1 ¿ 2 ¿¿

¿

(c) 25 ,

1 ¿ 2 ¿¿

¿ 14 ,

710

(d)

512 ,

23 ,

59 ,

14

Word ProblemsQ1.A tropical fruit juice states on the label that it is made up of following fractions of fruits: 1

4 orange, 18 mango, 3

16 apples, 732 pineapples, 15

64 grapes. Write down the fruits in ascending order of their proportion in the juice.

Q2 Two schools hold their annual play on the same evening. At one school 720 of the audience

are children. At other 25 of the audience are children. Which school has highest

proportion of children in the audience?Q3- A teenager spends 3

5 of his money on clothes. If he has $32, calculate how much he spends on clothes.Q4 Mrs. John has 3 2

4 cups of flour in the bag. She used 2 15 cups of flour to make a cake. How much

flour was left in the bag?Q5. In a tennis match player A managed to get of her first serves in. Player B managed to get of her first serves in. Which player got a higher proportion of her first serves in?

DECIMALSQ1a.Convert each of the following fractions to decimals.a)b)

c)d)

e)f)

Q1b.Put the fractions in part (a) in order of size, largest first.

Q2. Convert each of the following decimals to fractions in its simplest form.a) 0.12b) 0.525

c) 2.75d) 4.20

Q3. Write each of the following sets of decimals in order of size, smallest first.a) 3.66 , 3 , 3.06b) 0.303 , 0.33 , 0.403

c) 0.101 , 0.01 , 0.10d) 0.32 , 0.46 , 0.403

Q4. Rewrite each sum vertically then carry out each operation:a) 18 – 15.073 b) 65 – 59.15 c) 20 – 6.84

d) 0.67 – 0.49e) 25.5 +11.35 + 43.5f) 28.01 + 29.7 + 79.92 +

5.21g) 1.2 + 20 + 0.64

h) 10 – 7.7 + 0.84i) 1.028 x 2.2j) 9.56 x 3.1k) 92.3 x 9l) 5.052 x 2.4

m) 2 ÷ 4n) 6 ÷ 8o) 1.98 ÷ 9

Q5.Calculate the following giving your answer as a decimal (non-recurring/terminating)a) 5 ÷ 4b) 26 ÷ 8c) 14. 9 ÷ 9d) 2.77 ÷ 6

Q6.Find the cost of 6.5 m of cloth at $ 19.50 per meter.

Q7. Ali purchased 17.5 kg of sugar. He wants to put it in bags. If one bag contains 3.5 kg of sugar, find the number of bags required for this purpose.

Q8.The product of two decimal numbers is 4.7736, if one of them is 2.16, Find the other.

Q9. The price of a book is $ 4.35 and that of a pen is $ 10.75, then find:a) What is the total of a book and a pen?b) How much more does the pen cost than the book?c) What is the cost of 15 books?d) What is the cost of 12 pens?

Q10. Round the following numbers (i) to the nearest whole number and (ii) to one decimal place.(a) 6.37 (b) 4.13 (c) 0.85 (d) 8.672 (e) 1.093 (f) 0.063 Q11. Round the following numbers (i) to the nearest whole number and (ii) to two decimal place. (a) 4.383 (b) 5.719 (c) 5.803 (d) 1.477 (e) 3.999 (f) 6.273 Q12 Round the following numbers (i) to the nearest whole number and (ii) to three decimal place. (a) 0.5682 (b) 3.4765 (c) 8.8467 (d) 3.6543 (e) 3.4567

Q13. Round each of the followings (i) to the nearest whole number, (ii) to one decimal place and (iii) to two decimal places. (a) 8.757 (b) 7.492 (c) 18.685 (d) 0.1238 (e) 4.856

(f) 9.470 (g) 12.3852 (h) 9.2563 (i) 14.7777 (j) 0.6666 Q14) A bridge can safely carry a weight of 11.75 tonnes. Round this weight sensibly to a whole number of tonnes. Q15) A pilot needs to know the height of a mountain the aircraft is to fly over. The mountain is 6.35km high. Round this height appropriately: a) to a whole number of kilometers

b) to one decimal place.

Q16) An aqualung will work safely to a depth of 67.3 meters. What rounded figure would you

use as the safe working depth?

NUMBER S EQUENCE Q1. 4,5,6,7 for the given sequence shown. Find the 50th term

Q2. 7, 8,9,10 for the given sequence shown. Find the 50th term

Q3. -6, -3, 0, 3, 6, 9, ... , Find: (a) the next two terms

Q4. 16, 25, 36, 49…Find: (a) the next two terms

Q5. 3, 6, 11, 18, 27, 38, Find: (a) the next two terms Q6.

Shape 1 2 3 4 5 6 Number

Number of 3 4 5 6 7 sides

Number of 0 2 5 9 diagonals

(a) Copy the diagram above and fill in the blank spaces

(b) How many sides would there be in the 50th shape?

Q7)

These diagrams show the first three patterns in a sequence of growing tile patterns. a) Draw the next two diagrams in the sequence.

b) Copy and complete this table Number of white 1 2 3 4 5 tiles Number of red tiles

c) Describe the pattern linking the number of white files and the number of red tiles.

d) Use your rule in part c) to predict the number of red tiles in a pattern with 100 white files. Q8)

.

a) Draw the next two diagrams in the sequence.

b) Copy and complete this table.Number of white 1 2 3 4 5 tiles Number of green tiles

c) Describe the pattern linking the number of white tiles and the number of green tiles.

d) Use your rule in part c) to predict the number of green tiles in a pattern with 100 white tiles.Q9)

a) Draw the next two diagrams in the sequence.

b) Copy and complete this table

Number of white 1 2 3 4 5 tiles Number of orange tiles

Q10)

a) Draw the next two diagrams in the sequence.

b) Copy and complete this table Number of white 1 2 3 4 5

tiles Number of blue tiles

Q11)

a) Draw the next two diagrams in the sequence. b) Copy and complete this table

Number of white 1 2 3 4 5 tiles Number of yellow tiles

SYMMETRY

State the number of lines of symmetry (if any) for each of the shapes shown below.

1. 2.

Regular pentagon 3. 4.

5. 6.

1. 8.

9.