Types of Numbers (Cambridge International IGCSE Maths): Exam Questions

Write down the reciprocal of 64.

Write down the reciprocal of 2.

Write down the reciprocal of 10.

Write down a square number greater than 10.

Write down an irrational number.

Write down all the factors of 15.

Write down the reciprocal of 40.

Write down the reciprocal of 7.

Write down all the factors of 24.

Write down the smallest prime number.

Write down the six factors of 12.

Write down all the factors of 16.

Write down a prime number between 30 and 40.

Write down all the factors of 28.

Work out the cube of 6.

From this list, write down

i) a factor of 54,

ii) a multiple of 19,

iii) a prime number.

Write down

i) all the factors of 21,

ii) a prime number between 40 and 50.

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.

Write down the numbers in this list that are on the West side.

Extract:

The houses on the West side of the road have odd numbers. The houses on the East side have even numbers.

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

Extract:

A road has 349 houses on it numbered from 1 to 349.

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

Explain why$\sqrt{3}$ is irrational.

Write down

i) all the factors of 18,

ii) a square number between 30 and 50,

iii) a prime number between 90 and 100.

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

From the list, write down the irrational number.

Here is a list of numbers.

$21\frac{2}{3}\sqrt{13}31\sqrt{121}510.7$

From this list, write down a prime number.

Extract:

Here is a list of numbers.

21 2/3 √13 31 √121 51 0.7

From this list, write down an irrational number.

Using the integers from 60 to 75 only, find

i) a multiple of 17,

ii) the prime numbers.

Write down the reciprocal of 7.

From this list of numbers, write down a multiple of 8.

From this list of numbers, write down a square number.

From this list of numbers, write down a prime number.

Here is a list of numbers.

From this list, write down a cube number.

Extract:

Here is a list of numbers.

| 87 | 77 | 57 | 47 | 27 |

From this list, write down a prime number.

From the list of numbers, write down a multiple of 7.

Extract:

27, 28, 29, 30, 31, 32, 33

From the list of numbers, write down a cube number.

Extract:

27, 28, 29, 30, 31, 32, 33

From the list of numbers, write down a prime number.

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

Using numbers from 55 to 85, write down

i) a multiple of 23,

ii) a factor of 120,

iii) a common multiple of 8 and 12,

iv) a number that is both square and odd,

v) a number that has exactly 2 factors.

The diagram shows five number cards.

Put two cards side by side to show

i) a two-digit number that is a multiple of 7,

ii) a two-digit square number,

iii) a two-digit cube number,

iv) a two-digit prime number.

Write down an irrational number between 3 and 9.

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

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

Write down a prime number between 50 and 60.

Find

i) the smallest multiple of 7 that is greater than 100,

ii) the largest cube number that is less than 100,

iii) the six factors of 45,

iv) an irrational number between 6 and 7.