Number Toolkit (Cambridge O Level Maths)

Exam Questions

1 hour42 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]

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2
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1 mark

Write two hundred thousand and seventeen in figures.

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3
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1 mark

Write 15 060 in words.

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4
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1 mark

Write down a prime number between 50 and 60.

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5
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1 mark

Write down a prime number between 20 and 30.

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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

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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]

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2
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1 mark

Explain why square root of 3 is irrational.

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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.

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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.

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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

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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.

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