IGCSE Mathematics - International (0607) — October–November 2024, Paper 12

21 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

4 10 15 40 60 From the list of numbers, write down all the factors of 20.

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Question 2 · 1 mark

Complete the statement with the correct mathematical name. In a circle, ................. = 2 × radius.

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Question 3 · 1 mark

Write the number eighty million in figures.

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Question 4 · 2 marks

This formula is used to find the cost to make a number of chairs. cost in dollars = 5 × number of chairs + 30 Work out the cost to make 10 chairs.

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Question 5 · 1 mark

The cost of one ticket for a show is $7.50. Work out the cost of 50 tickets.

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Question 6 · 1 mark

Faris is collecting data about cars. Write down an example of continuous data that Faris could collect.

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Question 7 · 2 marks

A box contains 25 centilitres of juice. Work out the total amount of juice in 10 boxes. Give your answer in litres.

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Question 8 · 2 marks

Write 85% as a fraction in its simplest form.

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Question 9 · 2 marks

Complete the mapping diagram. The inputs (left) are 1, 2, 3, ?, 10 and they map to the outputs (right) ?, 8, 13, 28, 48 respectively. (The mapping is x ↦ 5x − 2.)

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Question 10 · 3 marks

Sofia records the number of photos she takes each day during her two-week holiday. 18 17 9 12 25 8 21 20 22 9 13 17 9 10 Complete the stem-and-leaf diagram to show this…

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Question 11 · 3 marks

The diagram shows a cuboid (NOT TO SCALE) with dimensions 40 cm by 20 cm by 15 cm. Work out the total surface area of the cuboid.

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Question 12 · 3 marks

Zara asks 20 people how many times they buy fuel for their car during a two-week period. The table shows this information. Number of times 1 2 3 4 --- --- --- --- --- Frequency 4…

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Question 13 · 2 marks

Write down all the integer values of x that satisfy this inequality. −1 ⩽ x < 2

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Question 14 · 2 marks

Shape A is drawn on a grid with vertices at (4, 5), (7, 5), (7, 4), (6, 3) and (4, 3). Translate shape A by the vector (−3, −2)ᵀ.

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Question 15 · 1 mark

Pia cycles from Q on a bearing of 260°. Draw a line to show the direction of Pia's route. [A North arrow is drawn pointing up from point Q.]

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Question 16 · 2 marks

U = {numbers from 0 to 22} A = {multiples of 4} B = {square numbers} Write down the elements of A.

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Question 17 · 1 mark

Simplify. t⁶ ÷ t³

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Question 18 · 3 marks

The nth term of a sequence is 3n + k, where k is a positive integer. The 10th term is 38. Find the value of k.

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Question 19 · 3 marks

Work out. 2 2/11 − 1 3/5

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Question 20 · 1 mark

Find the gradient of the line 5y = 3x + 20.

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Question 21 · 3 marks

100 students take a biology test. The cumulative frequency curve shows the results (cumulative frequency 0–100 on the vertical axis, Mark 0–50 on the horizontal axis). Use the…

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