Number Toolkit (Cambridge (CIE) O Level Maths): Exam Questions

Exam code: 4024

1 hour44 questions
1
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2 marks

Write down the integer values of x that satisfy the inequality – 2 space less-than or slanted equal to space x space less than space 2.

........................................ [2]

2
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1 mark

Write two hundred thousand and seventeen in figures.

3
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1 mark

Write 15 060 in words.

4
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1 mark

Write down a prime number between 50 and 60.

5
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1 mark

Write down a prime number between 20 and 30.

6a
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1 mark

3.56 space space space space space space space space space space space space space 5 space space space space space space space space space space space space space square root of 196 space space space space space space space space space space space 8 space space space space space space space space space space space space space space space square root of 7 space space space space space space space space space space space space space space space space 12

From the list, write down a number that is

a multiple of 3

6b
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1 mark

a cube number

6c
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1 mark

a prime number

7a1 mark

2 space space space space space space space space space space space space space square root of 64 space space space space space space space space space space space space space 9.57 space space space space space space space space space space space space space square root of 125 space space space space space space space space space space space space space 51 space space space space space space space space space space space space space 98

From the list, write down a number that is:

a multiple of 7

7b1 mark

a prime number

7c1 mark

an irrational number

7d1 mark

a cube number.

1
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4 marks

3.56        5        square root of 196        8        square root of 7        12

From the list, write down a number that is

i) a multiple of 3,

[1]

ii) a cube number,

[1]

iii) a prime number,

[1]

iv) an irrational number.

[1]

2
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1 mark

Explain why square root of 3 is irrational.

3
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1 mark

3.56 space space space space space space space space space space space space space 5 space space space space space space space space space space space space space square root of 196 space space space space space space space space space space space 8 space space space space space space space space space space space space space space space square root of 7 space space space space space space space space space space space space space space space space 12

From the list, write down a number that is an irrational number.

1
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1 mark

1, 2, 3, 5 and 7 are all common factors of two numbers.

Write down the digit that the two numbers must end in.

2
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1 mark

Insert one pair of brackets to make this calculation correct.

7 space space minus space space 5 space space minus space space 3 space space plus space space 4 space space equals space space 9

3a
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3 marks

Tom is tiling a wall.

He needs to buy at least 100 tiles.
The tiles are sold in large packs and small packs.

Large pack 40 tiles     
£18 Small pack 28 tiles     £14
Special offer

25% reduction when you buy 3 or more large packs

Work out the cheapest cost for Tom to buy the packs of tiles he needs.

£.............................

3b
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1 mark

Tom is also tiling a floor.

The floor is a rectangle with length 600 cm and width 240 cm Each tile is a square with side 40 cm

Tom uses this method to work out the number of tiles he needs.

Number of tiles that will fit along the length = 600 ÷ 40                                                                               = 15
Number of tiles that will fit along the width = 240 ÷ 40                                                                              = 6
Total number of tiles needed = 15 + 6                                                    = 21

Give a reason why Tom’s method is wrong.