Number — IGCSE Mathematics - International (0607) questions by topic

Number questions cover a wide span: taking a cube root, combining two given ratios into a single three-part ratio, rounding a value to the nearest hundred, and completing a table linking consecutive integers to counts, so both arithmetic accuracy and pattern recognition are tested.

Work out, find, calculate, write and state lead the command words, worth from 1 to 10 marks, reflecting 70 questions set in 2025 papers, the second-largest set on the page. Because ratio and rounding questions are easy to rush, practise each calculation slowly and check units or precision before moving on, then use instant marking to catch a rounding slip or reversed ratio order immediately rather than losing marks silently across the paper.

May–June 2025, Paper 11

Question 1 · 5 marks

Write 54 736 correct to the nearest thousand.

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Question 2 · 1 mark

Insert one pair of brackets to make this calculation correct. 6 + 5 x 4 - 2 = 16

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Question 4 · 2 marks

Write 47/100 as a percentage.

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Question 11 · 4 marks

Write down the value of sqrt(144).

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Question 12 · 1 mark

Write 125 000 in standard form.

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Question 14 · 4 marks

Bell A and Bell B ring together at 09 30. Bell A rings every 15 minutes. Bell B rings every 40 minutes. The next time Bell A rings is 09 45. Complete the statement. The next time…

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May–June 2025, Paper 12

Question 2 · 2 marks

Write the number 155 000 in words.

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Question 4 · 2 marks

A bird flies at an average speed of 55 km/h. Work out how many hours it takes the bird to fly 1100 km.

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Question 5 · 2 marks

A boat trip costs $26 for each adult and $10 for each child. Work out the total cost for 2 adults and 3 children to go on the boat trip.

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Question 6 · 2 marks

Find the value of sqrt(196) + 2^3.

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Question 7 · 2 marks

Divide 85 in the ratio 2 : 3.

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Question 9 · 2 marks

By writing each number correct to 1 significant figure, work out an estimate for the value of (3.26 × 4.91) / (2.14 + 2.88).

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Question 13 · 2 marks

Work out the reciprocal of 0.4 .

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Question 18 · 3 marks

Vinema invests $3000 at a rate of 2% per year simple interest. Work out the value of Vinema's investment at the end of 4 years.

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May–June 2025, Paper 13

Question 1 · 5 marks

Write these numbers in order of size, starting with the smallest. 0.506 0.65 0.065 0.6 0.56

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Question 2 · 2 marks

Write 2780 correct to the nearest 100.

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Question 5 · 5 marks

At a cinema the cost of an adult ticket is $8 and the cost of a child ticket is $6.50 . Liu buys 2 adult tickets and 3 child tickets. Find the change from $50.

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Question 8 · 2 marks

Divide $135 in the ratio 5 : 4.

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Question 11 · 5 marks

Sajid drives 10 km at a speed of 20 km/h. He then drives 200 km at a speed of 80 km/h. Show that Sajid takes 1/2 hour to drive the first 10 km.

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May–June 2025, Paper 21

Question 1 · 2 marks

This is a list of numbers. 3.142 sqrt(125) 125 81 7 2/3 From this list write down a cube number.

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Question 2 · 2 marks

Write 0.003 094 8 correct to 3 significant figures.

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Question 5 · 3 marks

Work out 1 3/7 x 4 2/3. Give your answer as a mixed number in its simplest form.

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Question 7 · 2 marks

The ratio a : b = 7 : 12. The ratio b : c = 8 : 5. Find the ratio a : b : c in its simplest form.

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Question 10 · 2 marks

Work out 4 x 10^18 + 3.2 x 10^17. Give your answer in standard form.

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Question 22 · 4 marks

Simplify. sqrt(120) x sqrt(27)

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May–June 2025, Paper 22

Question 2 · 2 marks

This is a list of numbers. 31 33 35 37 39 41 From this list, write down all the prime numbers.

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Question 3 · 1 mark

Write the fraction 24/64 in its lowest terms.

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Question 6 · 4 marks

Share 120 in the ratio 2 : 3.

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Question 20 · 5 marks

Rationalise the denominator. (sqrt(3) - sqrt(2)) / (sqrt(3) + sqrt(2))

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May–June 2025, Paper 23

Question 1 · 1 mark

Work out. 2 - 5 x 3 + 7

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Question 2 · 3 marks

This is a list of numbers. 20 21 22 23 24 25 26 27 From the list write down the square number.

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Question 5 · 4 marks

Ganpreet and Rahul share $240 in the ratio 7 : 5. Show that the value of Rahul's share is $100.

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Question 7 · 3 marks

Work out 5 1/3 ÷ 1 3/5. Give your answer as a mixed number in its simplest form.

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Question 11 · 5 marks

Simplify. sqrt(27) - 2 sqrt(75)

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Question 13 · 2 marks

Work out. 4.9 x 10^199 + 4.9 x 10^197

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May–June 2025, Paper 31

Question 1 · 2 marks

Coaches are used to take 105 children to an event. Each coach has places for 32 children. Explain why 4 is the minimum number of coaches that are needed.

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Question 2 · 3 marks

Calculate. cube-root(29 791)

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Question 3 · 2 marks

Write the time 18 42 as a 12-hour clock time.

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Question 5 · 1 mark

Write down the reciprocal of 2/5 giving your answer as a fraction.

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Question 7 · 4 marks

The table shows the distances, in km, an aircraft flies when travelling between cities. Write down the distance the aircraft flies between Cairo and Muscat.

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Question 11 · 4 marks

A shop has 90 bowls and 72 jugs. Write the ratio number of bowls : number of jugs in its simplest form.

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Question 12 · 1 mark

The price of a ticket is $280. The exchange rate between euros (€) and dollars ($) is €1 = $1.297. Work out the price of the ticket in euros.

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Question 14 · 3 marks

A cyclist rides 200 m. The cyclist rides at a constant speed of 45 km/h. Work out how many seconds it takes the cyclist to ride 200 m.

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Question 17 · 2 marks

The price of a game is $15. This price is increased by 12%. Find the new price.

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May–June 2025, Paper 32

Question 1 · 2 marks

Jamal buys 5 packets of lentils. He pays with $10. He receives $2.75 change. Work out the cost of one packet of lentils.

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Question 2 · 2 marks

Work out 7.3 / (1.2 + 3.5). Give your answer correct to 4 decimal places.

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Question 3 · 3 marks

A factory makes 578 880 cookies every 24 hours. Show that 402 cookies are made every minute.

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Question 5 · 2 marks

These are 6 number cards: 2, 3, 4, 9, 16, 20. Use 4 of these cards to complete the equivalent fractions. [ ]/[ ] = [ ]/12 = 12/[ ] (The first fraction has both numerator and…

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Question 9 · 2 marks

Pirupak walks 220 metres in 2.25 minutes. Show that 2.25 minutes = 135 seconds.

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Question 10 · 2 marks

The cost of a laptop is $3200. In a sale, the cost of this laptop is reduced to $2816. Work out the percentage reduction.

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Question 15 · 3 marks

Shaila invests $2000 at a rate of 1.3% per year compound interest. Calculate the amount of interest she receives at the end of 3 years.

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Question 16 · 3 marks

Rohan goes for a holiday to Europe. He changes $2000 into euros (EUR) at an exchange rate of $1 = EUR 0.9759. Show that Rohan receives EUR 1951.80.

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May–June 2025, Paper 33

Question 1 · 2 marks

Write the number 15 036 in words.

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Question 2 · 3 marks

Write 7/15 as a percentage. Give your answer correct to 2 decimal places.

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Question 4 · 4 marks

These are the ingredients needed to make 8 biscuits: 70 g butter, 90 g sugar, 1 egg, 140 g flour, 40 g chocolate. An egg has a mass of 45 g. Work out the total mass of the…

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Question 6 · 2 marks

A shirt costs $45. The cost of the shirt is increased by 7%. Work out the increase in the cost of the shirt.

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Question 8 · 5 marks

Work out. 17^3

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Question 16 · 4 marks

Mike invests $2500 in an account paying simple interest at a rate of R% per year. At the end of 5 years, the value of his investment is $2800. Work out the value of R.

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May–June 2025, Paper 41

Question 2 · 3 marks

Find 42 as a percentage of 60.

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Question 9 · 8 marks

The value of a car depreciates exponentially by 15% each year. On 1 January 2023 its value was $20 400. Find the value of the car on 1 January 2022.

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May–June 2025, Paper 42

Question 1 · 2 marks

Write the number 13205.17268 correct to 3 significant figures.

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Question 3 · 1 mark

Work out. (1.7)^2 - sqrt(8.5)

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Question 4 · 1 mark

Work out. 7/12 - 1/3

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Question 5 · 1 mark

The exchange rate between pounds (£) and Chinese yuan (¥) is £1 = ¥8.3. Change £549 to Chinese yuan.

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Question 8 · 3 marks

Xiong flies by plane from Manchester to Hong Kong. The distance from Manchester to Hong Kong is 9000 km. The flight takes 12.5 hours. Calculate the average speed of the plane.

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Question 12 · 7 marks

Paula bought a house on 1 January 2023. On 1 January 2024 the value of the house increased by 10%. On 1 January 2025 the value of the house increased by 6% of its value on 1…

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May–June 2025, Paper 43

Question 2 · 1 mark

Convert 0.027 kilometres into centimetres.

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Question 3 · 2 marks

Calculate. cube-root(1 - 2.7/3.5) i.e. (1 - 2.7/3.5)^(1/3) Give your answer correct to 4 significant figures.

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Question 18 · 8 marks

Bruce buys a new car on 1 January 2022. On 1 January 2023 the value of the car has decreased by 20%. On 1 January 2024 the value of the car has decreased by 15% of its value on 1…

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May–June 2025, Paper 52

Question 5 · 10 marks

Complete the table. Consecutive integers Number of integers n F --- --- --- 17 18 19 3 1 20 21 22 23 24 5 13 14 15 16 17 18 19 9 1 2 3 4 5 6 7 8 9

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Other IGCSE Mathematics - International topics

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