IGCSEMaths: CoreCIEExam QuestionsNumberTypes of Number

Syllabus Edition

First teaching 2021

Last exams 2024

|

Types of Number (CIE IGCSE Maths: Core)

Exam Questions

2 hours37 questions
Easy
Medium
Hard
1
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Write down the reciprocal of 64.

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2
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Write down the reciprocal of 2.

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3a
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Using the integers from 60 to 75 only, find

i)
a multiple of 17,
[1]
ii)
the prime numbers.

[2]

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3b
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Write down the reciprocal of 7.

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4
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Write down the reciprocal of 10.

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5a
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Write down

a square number greater than 10,

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5b
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an irrational number.

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6a
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32 33 34 35 36 37 38 39

From this list of numbers, write down

a multiple of 8,

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6b
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32 33 34 35 36 37 38 39

From this list of numbers, write down

a square number

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6c
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32 33 34 35 36 37 38 39

From this list of numbers, write down

a prime number.

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7
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Write down all the factors of 15.

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8a
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Here is a list of numbers.

87 77 57 47 27

From this list, write down

a cube number,

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8b
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a prime number.

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9
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Write down all the factors of 24.

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10a
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27 28 29 30 31 32 33

From the list of numbers, write down

a multiple of 7,

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10b
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a cube number,

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10c
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a prime number.

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11
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Write down the smallest prime number.

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12a
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Show that there is not a square number between 50 and 60.

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12b
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Write down a prime number between 50 and 60.

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13a
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Here is a list of numbers.

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

From this list, write down

a prime number,

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13b
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an irrational number.

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14
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Write down the six factors of 12.

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15a
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Write down all the factors of 18.

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15b
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Write down a prime number between 40 and 50.

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16
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Complete the list of factors of 36.

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

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17
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Write down the reciprocal of 40.

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18
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Write down the reciprocal of 7.

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1
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8 15 18 33 39 41 51 57 60 81

From this list, write down

i)
a factor of 54,
[1]
ii)
a multiple of 19,
[1]
iii)
a prime number.
[1]

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2
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Write down

i)
all the factors of 21,
[2]
ii)
a prime number between 40 and 50.
[1]

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3
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Write down all the factors of 28.

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4a
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qp4-0580-33-paper-3-may-2020-cie-igcse-maths

A road has 349 houses on it numbered from 1 to 349.
The diagram shows some of these houses.
The houses on the West side of the road have odd numbers.
The houses on the East side have even numbers.

Put a ring around the numbers in this list that are on the West side.

25 87 126 178 252 329

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4b
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On the East side, how many houses are there between the house numbered 168 and the house numbered 184?

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4c
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How many houses on the road have a house number that is a multiple of 39?

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5
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Explain whyspace square root of 3 space end root is irrational.

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6
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The diagram shows five number cards.

qp2a-0580-03-paper-3-specimen-2020-cie-igcse-maths

Put two cards side by side to show

i)
a two-digit number that is a multiple of 7,
[1]
ii)
a two-digit square number,
[1]
iii)
a two-digit cube number,
[1]
iv)
a two-digit prime number.
[1]

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7a
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Write down all the factors of 16.

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7b
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Write down a prime number between 30 and 40.

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8
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Write down

i)
all the factors of 18,
[2]
ii)
a square number between 30 and 50,
[1]
iii)
a prime number between 90 and 100.
[1]

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9a
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Find the first even multiple of seven that is greater than 100.

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9b
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6 to the power of negative 1 end exponent square root of 10 8.97 cross times 10 to the power of negative 3 end exponent 7 over 5 square root of 64

From the list, write down the irrational number.

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10
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Write down all the factors of 30.

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1
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Write down an irrational number with a value between 6 and 7.

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2
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Using numbers from 55 to 85, write down

i)
a multiple of 23,
[1]
ii)
a factor of 120,
[1]
iii)
a common multiple of 8 and 12,
[1]
iv)
a number that is both square and odd,
[1]
v)
a number that has exactly 2 factors.
[1]

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3
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Write down an irrational number between 3 and 9.

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4
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Write down a common factor of 16 and 72 that is greater than 2.

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5
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square root of 64 space space space space space space 2.9 space space space space space space space 25 over 13 space space space space space space space square root of 97 space space space space space space space space space 39 space space space space space space space space space 47 space space space space space space space space space space 4.6 cubed space space space space space space space space 111 space space space space space space space space space 1.5 cross times 10 to the power of 6

Write down a number from this list that is

i)
prime,

[1]

ii)
a multiple of 13,
[1]
iii)
irrational.
[1]

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6
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straight pi space space space space space space space space 3 to the power of negative 2 end exponent space space space space space space space space 3 4 over 7 space space space space space space space 33.35 percent sign space space space space space space space space square root of 3 space space space space space space space space space 0.3 space space space space space space space space space 3 to the power of 999

From this list, write down the two numbers that are irrational.

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7
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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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8
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n is an integer and 120 space less than space n space less than space 140.

Find the value of n when it is

i)
a multiple of 45,
n space equals............................ [1]
ii)
a square number,
n space equals............................ [1]
iii)
a factor of 402,
n space equals............................ [1]
iv)
a cube number.
n space equals............................ [1]

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9
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Find

i)
the smallest multiple of 7 that is greater than 100,
[1]
ii)
the largest cube number that is less than 100,
[1]
iii)
the six factors of 45,
[2]
iv)
an irrational number between 6 and 7.
[1]

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