CIE IGCSE Maths: Extended

Topic Questions

IGCSEMaths: ExtendedCIETopic Questions1. Number1.1 Number Toolkit

Syllabus Edition

First teaching 2021

Last exams 2024

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1.1 Number Toolkit

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1
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Write two hundred thousand and seventeen in figures.

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2
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At noon the temperature in Maseru was 21°C.
At midnight the temperature had fallen by 26 °C.
 
Work out the temperature at midnight.
 

............................................. °C

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3
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32 space space space space 33 space space space space 34 space space space space 35 space space space space 36 space space space space 37 space space space space 38 space space space space 39

From the list of numbers, write down

i)
a multiple of 8,

[1]

ii)
a square number,

[1]

iii)
a prime number.

[1]

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4
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Write down the temperature that is 7 °C below -3 °C.

............................................... °C

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5
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Here is a list of numbers.

87          77          57          47          27

From this list, write down

i)
 a cube number,

[1]

ii)

a prime number.

[1]

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6
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27 28 29 30 31 32 33

From the list of numbers, write down

i)
a multiple of 7,

[1]

ii)
a cube number,

[1]

iii)
a prime number.

[1]

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7
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The temperature at 07 00 is -3 °C.
This temperature is 11 °C higher than the temperature at 01 00.
 
Find the temperature at 01 00.

................................................ °C

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8
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Write the number five million, two hundred and seven in figures.

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9
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One day in Chamonix the temperature at noon was 6°C.
At midnight the temperature was 11°C lower.

Write down the temperature at midnight.

............................................ °C

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10
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Complete the list of factors of 36.

1, 2, ............................................. , 36

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11
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Write 15 060 in words.

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1
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Explain why square root of 3 is irrational.

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2
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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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3
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Write down an irrational number.

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4
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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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5a
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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.

£.............................

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5b
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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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6
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a is a prime number.

b is an even number.

N space equals space a squared space plus space a b

Circle the correct statement about N.

could be
even or odd		 always even
always prime always odd

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1
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Write down the cube number that is greater than 50 but less than 100.

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2
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Write down a square number greater than 10.

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3
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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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4
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The lowest temperature recorded at Scott Base in Antarctica is -57.0 °C.
The highest temperature recorded at Scott Base is 63.8 °C more than this.

What is the highest temperature recorded at Scott Base?

................................................°C

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5
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Write down a prime number between 50 and 60.

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6
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Calculate negative 12 divided by negative 2. 

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7
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Here is a list of numbers.

 21   2 over 3   square root of 13   31   square root of 121   51   0.7 

From this list, write down

i)
a prime number,
[1]
ii)
an irrational number.

[1]

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8
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Write down a prime number between 20 and 30.

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9
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22            17            25            41            39            4

Work out the difference between the two prime numbers in the list above.

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