IGCSE Mathematics - International (0607) — May–June 2023, Paper 13

23 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

Write the number seven hundred thousand and fourteen in figures.

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Question 2 · 1 mark

Write 7.642 correct to the nearest integer.

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Question 3 · 1 mark

Change 3 kilograms into grams.

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Question 4 · 2 marks

One pencil costs 30 cents. Ahmet has $5. Ahmet buys as many of these pencils as he can. Work out the number of pencils Ahmet buys.

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Question 5 · 1 mark

Use one of the symbols <, = or to make the following statement correct. 0 + 3 .................... 7 − 3

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Question 6 · 1 mark

Hut X is due south of hut Y. Write down the three-figure bearing of hut X from hut Y.

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Question 7 · 2 marks

Complete each statement with a word from the list (rectangle, square, rhombus, parallelogram, kite). A .................... has 4 lines of symmetry.

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Question 8 · 2 marks

Write these numbers in order of size, starting with the smallest. 32% 0.4 3/10 0.22

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Question 9 · 2 marks

Simplify. 7a + 3 − 6a − 1

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Question 10 · 1 mark

P is the point (−5, −2) and Q is the point (8, −2). Find the length of PQ.

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Question 11 · 1 mark

A horse travels 10 km in 2 hours. Work out the average speed of the horse in kilometres per hour.

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Question 12 · 1 mark

A cube is taken at random from a box containing 3 red cubes and 2 blue cubes. Find the probability of taking a red cube.

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Question 13 · 2 marks

Javid must arrive at station E no later than 11 00. Write down the time of the latest train he can catch from station A.

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Question 14 · 1 mark

Simplify 2/3 × a/b.

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Question 15 · 2 marks

$600 is invested at a rate of 1% per year simple interest. Work out the value of the investment at the end of one year.

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Question 16 · 2 marks

A circle has a diameter of 6 cm. Find the area of the circle. Give your answer in terms of π.

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Question 17 · 2 marks

Write down the elements of set B.

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Question 18 · 2 marks

The number of goals that a team scored in each of its 48 matches is recorded. The table shows this information. Number of goals scored 0 1 2 ------------------------ ---- ----…

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Question 19 · 2 marks

f(x) = 4(x − 3) Find the value of x when f(x) = 48.

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Question 20 · 2 marks

Find the lowest common multiple (LCM) of 18 and 24.

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Question 21 · 3 marks

Solve the simultaneous equations. 3g − h = 13 9g − 5h = 35

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Question 22 · 3 marks

Triangles ABC and ADE are similar. AB = 8 cm, BD = 4 cm and DE = 9 cm. Find the scale factor of the enlargement of triangle ADE from triangle ABC.

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Question 23 · 3 marks

The heights of 100 sunflower plants are measured. The results are shown on the cumulative frequency curve. Find how many sunflower plants have a height less than 35 cm.

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← May–June 2023 Paper 21 · May–June 2023 Paper 12 →

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