CIE iGCSE Maths C1.1 Types of number Exam Style Questions Paper 1

Question

Write down an irrational number, n, where 31 < n < 32.

▶️ Answer/Explanation

Solution

Ans: Any irrational number between 31 and 32

Example: \( 31 + \frac{\pi}{4} \) ≈ 31.785 (π is irrational)

Or \( \sqrt{1000} \) ≈ 31.622 (√1000 is irrational)

Any non-repeating, non-terminating decimal in this range is acceptable.

Question

Complete each statement with a number from the list.

…… is a natural number.

…… is an irrational number.

…… is the reciprocal of 4.

▶️ Answer/Explanation

Solution

Ans:

24 is a natural number (positive integer)

√3 is an irrational number (cannot be expressed as a simple fraction)

0.25 is the reciprocal of 4 (¼ = 0.25)

Resources