Number — IGCSE Mathematics (0980) questions by topic

Working out combined costs from a price per kilogram and a per-item price, compound interest over 5 years, square roots, and currency conversion to two decimal places make up this number page's 36 questions, drawn from 2025 papers and worth between 1 and 10 marks. Find, calculate, express, complete and work out dominate, so every line of arithmetic needs to be exact.

Practise these calculations in short bursts and submit each answer for instant marking, so a misplaced decimal point in a currency conversion or an incorrectly compounded interest figure is caught immediately rather than costing marks silently across several questions.

May–June 2025, Paper 12

Question 1 · 1 mark

Write the number sixteen thousand and sixty-two in figures.

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Question 2 · 2 marks

Write three-quarters as a decimal.

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Question 3 · 2 marks

Write down the value of sqrt(36).

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Question 5 · 1 mark

Complete this statement. 10 weeks is ............... days.

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Question 6 · 1 mark

The diagram shows a rectangle drawn on a square grid, 7 squares wide and 5 squares high (35 unit squares in total). Shade 2/5 of the rectangle.

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Question 7 · 2 marks

Find the value of the reciprocal of 1/3.

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Question 8 · 2 marks

Put one pair of brackets into the calculation to make it correct. -12 + 4 / 2 - 3 = -16

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Question 9 · 2 marks

Write these fractions in order, starting with the smallest. 5/8 11/12 2/3 3/4 13/24 ............... < ............... < ............... < ............... < ...............…

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Question 12 · 2 marks

Tim has a method for multiplying a number by 99. He shows his method for 53 x 99. 53 x 99 = 53 x 100 - 53 = 5300 - 53 = 5247 Work out 85 x 99 using Tim's method.

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Question 17 · 2 marks

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of (17.8 + 10.3) / 5.5 .

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Question 18 · 2 marks

Find the highest common factor (HCF) of 66 and 110.

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Question 19 · 3 marks

P is a prime number. Write down the value of P that satisfies the inequality 13 < P < 19.

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Question 20 · 1 mark

The Venn diagram shows two overlapping sets J and K inside a universal set E (rectangle). Both circles J and K, including their overlap, are entirely shaded. Use set notation to…

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Question 21 · 3 marks

Work out 2 7/9 x 1 1/5. Give your answer as a mixed number in its simplest form.

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Question 22 · 2 marks

The mass, m kg, of a stone is 3.2 kg, correct to the nearest 100 g. Complete this statement about the value of m. ............... <= m < ...............

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May–June 2025, Paper 22

Question 8 · 2 marks

Find the highest common factor (HCF) of 36 and 54.

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Question 11 · 3 marks

Write 0.007 08 in standard form.

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Question 14 · 2 marks

Write the recurring decimal 0.25(5) (i.e. 0.25 with the 5 recurring, = 0.2555...) as a fraction.

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Question 17 · 4 marks

Find the value of 125^(2/3).

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Question 18 · 4 marks

Rationalise the denominator of 9/sqrt(3). Give your answer in its simplest form.

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Question 19 · 7 marks

Write as a single fraction in its simplest form. (5a/6) x (3b/a)

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May–June 2025, Paper 32

Question 4 · 4 marks

Apples cost $1.20 per kilogram and one banana costs 35 cents. Work out the total cost, in dollars, of 3 kg of apples and 7 bananas.

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Question 5 · 1 mark

A student scores 58 out of 80 in a test. Calculate their percentage score.

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Question 6 · 2 marks

Calculate 57% of 45.

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Question 8 · 3 marks

The exchange rate is $1 = 0.923 euros. Calculate the difference between 750 euros and $846. Give your answer in euros correct to 2 decimal places.

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Question 16 · 4 marks

Sam spends $187 on electricity and gas. The ratio electricity : gas = 8 : 3. Work out how much Sam spends on electricity.

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Question 17 · 3 marks

Rick invests $6000 for 5 years at a rate of 9% per year compound interest. Calculate the total interest earned during the 5 years.

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Question 19 · 2 marks

Write 0.000 000 0347 in standard form.

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May–June 2025, Paper 42

Question 3 · 3 marks

Mass of box A : Mass of box B = 4 : 7 The mass of box B is 2.4 kg more than the mass of box A. Calculate the mass of box A and the mass of box B.

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Question 5 · 1 mark

Scott changes $300 into pounds (£). The exchange rate is £1 = $1.20 . Calculate the amount Scott receives.

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Question 8 · 1 mark

Calculate. (2.1^2 - 1.9) / 0.5

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Question 11 · 2 marks

In a sale, the original price of a shirt is reduced by 15%. The sale price of the shirt is $23.63 . Find the original price of the shirt.

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Question 12 · 2 marks

The length of a rectangle is 16 cm, correct to the nearest centimetre. The width of the rectangle is 14 cm, correct to the nearest centimetre. Calculate the lower bound of the…

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Question 17 · 10 marks

Alex invests $400 at a rate of 2.3% per year simple interest. Find the total amount Alex has at the end of 5 years.

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Question 21 · 4 marks

Simplify. 3t^5 x 5t^3

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Question 23 · 3 marks

Simplify. (h^2 + 4h) / (h^2 - 16)

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Other IGCSE Mathematics topics

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