IGCSE Mathematics (0580) — May–June 2023, Paper 13

25 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.

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Question 1 · 1 mark · Number

Write 928 correct to the nearest ten.

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Question 2 · 1 mark · Number

Write down a fraction that is equivalent to 7/9.

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Question 3 · 1 mark · Number

Work out −4 + 6 × 3.

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Question 4 · 2 marks · Statistics

Bobby records the number of days a shop is open during 30 days. The tally for 'Days open' is shown as 23 ( ). Complete the table by filling in the frequency for 'Days open' and…

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Question 5 · 3 marks · Geometry

The diagram shows a shape. Complete the statement: The diagram has rotational symmetry of order ...

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Question 6 · 1 mark · Number

Write down the reciprocal of 16 as a decimal.

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Question 7 · 3 marks · Statistics

The stem-and-leaf diagram shows the ages of 21 people (key 1 6 represents 16 years). Find the fraction of people who are more than 30 years old.

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Question 8 · 3 marks · Mensuration

The diagram shows a cuboid with dimensions 8 cm, 3 cm and 5 cm. Find the total surface area of the cuboid.

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Question 9 · 3 marks · Mensuration

The diagram shows a triangular prism whose cross-section is a triangle with base 4 cm and height 2 cm, and the prism length is 4 cm (with a 4 cm slant edge shown). On the 1 cm²…

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Question 10 · 1 mark · Number

Olga thinks that 87 is a prime number. Is Olga correct? Give a reason for your answer.

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Question 11 · 1 mark · Number

A film lasts for 2 hours 50 minutes. The film ends at 23 05. Find the time the film starts.

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Question 12 · 2 marks · Geometry

Triangle ABC is isosceles. Angle BAC = 38° and AB = AC. Angle ABC = x°. Find the value of x.

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Question 13 · 2 marks · Number

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of (6.8 × 10.6) / (3.2 − 0.98). You must show all your working.

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Question 14 · 3 marks · Statistics

The scatter diagram shows information about the time spent in a shop and the number of items bought. What type of correlation is shown on the scatter diagram?

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Question 15 · 1 mark · Algebra

Simplify d⁸ ÷ d².

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Question 16 · 1 mark · Number

Maddie changes 4000 Swiss francs into dollars when the exchange rate is $1 = 0.913 Swiss francs. Work out how many dollars she receives.

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Question 17 · 2 marks · Number

Find the highest common factor (HCF) of 32 and 120.

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Question 18 · 1 mark · Probability

The probability that Tom is late for school is 0.12. There are 200 school days this year. Work out the expected number of times that Tom is late for school this year.

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Question 19 · 2 marks · Algebra

Expand and simplify (x − 5)(x + 8).

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Question 20 · 3 marks · Geometry

The diagram shows a circle, centre O, diameter AB. A, B and C lie on the circumference. Write down the mathematical name of the line AC.

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Question 21 · 4 marks · Probability

A spinner has five sides painted red, blue, green, yellow or orange. The table shows some probabilities: Red 0.3, Blue 0.16, Green 0.18, Yellow 0.25, Orange unknown. Complete the…

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Question 22 · 3 marks · Number

Vanessa invests $8500 at a rate of 3.5% per year compound interest. Calculate the value of her investment at the end of 6 years. Give your answer correct to the nearest dollar.

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Question 23 · 5 marks · Transformations

The diagram shows three shapes A, B and C on a 1 cm² grid. Describe fully the single transformation that maps shape A onto shape B.

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Question 24 · 3 marks · Number

Without using a calculator, work out 5 11/12 + 2 1/4. You must show all your working and give your answer as a mixed number in its simplest form.

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Question 25 · 4 marks · Algebra

In this question, both lengths are in centimetres. The diagram shows two lines AB and CD. The length of AB is 10x − 12. The length of CD is 2x + 3. Line AB is 3 times as long as…

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