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Cambridge IGCSE0580Regularly examined

Mathematics 0580: RATIONAL AND IRRATIONAL NUMBERS Topical Past Paper Questions

Cambridge IGCSE Mathematics (0580) past-paper questions on RATIONAL AND IRRATIONAL NUMBERS, free. This topic is regularly examined across 28 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.

Sample questions

Summer (May/Jun) 2026Paper 4 (Extended)

Complete each of these statements with a number from the list. The cube number is ..... [3] The prime number is ..... The irrational number is .....

Winter (Oct/Nov) 2025Paper 2 (Extended)

(a) Simplify. [2] $$ \sqrt{125} - \sqrt{20} $$ (b) NOT TO SCALE The area of this rectangle is $k \text{ cm}^2$. Work out the value of $k$. $k =$ [2] (c) Rationalise the denominator. [2] $$ \frac{1}{\sqrt{7}+2} $$

Summer (May/Jun) 2024Paper 2 (Extended)

Write the recurring decimal $0.4\dot{1}$ as a fraction in its simplest form. You must show all your working. [2]

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