Cambridge IGCSE · International Mathematics (0607)

Types of number: Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Types of number.

10 questions20 marksFree, no account

Question 1

1 mark

Which of the following is a square number?

Question 2

1 mark

Which of the following statements about number types is always true?

Question 3

1 mark

Which of the following is an irrational number?

Question 4

1 mark

Which of the following statements is false regarding the properties of numbers?

Question 5

1 mark

Which set contains only natural numbers as defined in the syllabus \((0, 1, 2, \dots)\)?

Question 6

2 marks

Identify the prime number from the following list of integers: \(12, 15, 17, 21\).

Write your answer out first, then check it against the worked solution.

Question 7

3 marks

Calculate the square of the reciprocal of \(\frac{2}{5}\).

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Question 8

2 marks

From the following list, identify the irrational number: \( \sqrt{9}, 0.33, \pi, \frac{4}{7} \).

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Question 9

3 marks

The first four triangle numbers are 1, 3, 6, and 10.
(a) Write down the next two triangle numbers in this sequence.
(b) Determine whether 25 is a triangle number. Show your working or explain your reasoning.

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Question 10

5 marks

(a) Express 150 and 225 as products of their prime factors, giving your answers in index form.
(b) Use your results to find the highest common factor (HCF) of 150 and 225.
(c) Use your results to find the lowest common multiple (LCM) of 150 and 225.

Write your answer out first, then check it against the worked solution.

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