IGCSE Mathematics - International (0607) — May–June 2024, Paper 11

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

From the list of numbers 2, 3, 12, 40, 60, write down all the multiples of 6.

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Question 2 · 1 mark

A bucket contains 9000 millilitres of water. Write down the number of litres of water in the bucket.

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Question 3 · 2 marks

The diagram shows a shape made from a rectangle and a triangle. On the diagram, draw arrows on two lines that are parallel.

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Question 4 · 2 marks

Write down the coordinates of the point P (shown on the grid).

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Question 5 · 2 marks

The diagram represents the route of a walker on a square grid (North marked upward). A walker starts at point P and walks: 2 squares north (shown by the dotted line), then 3…

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Question 6 · 3 marks

These are the distances, in km, cycled by eleven cyclists in one week: 13, 27, 19, 12, 15, 32, 36, 24, 10, 18, 21. Find the median.

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Question 7 · 1 mark

Work out 1.2 × 0.3.

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Question 8 · 1 mark

Work out 6 − 14 ÷ 2.

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Question 9 · 2 marks

A map has a scale of 2 cm represents 5 km. Write this scale as a ratio in its simplest form.

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Question 10 · 2 marks

Simplify. 4f − 3g − f − 2g

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Question 11 · 2 marks

Here is a ferry timetable: --- --- --- --- --- Port A 05 00 10 05 15 35 20 00 Port B 06 55 21 55 Port C 18 20 23 10 Port D 13 10 Port E 08 35 14 00 19 00 23 50 Work out the…

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Question 12 · 1 mark

Work out 15 as a percentage of 60.

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Question 13 · 2 marks

Expand. x²(3 − x)

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Question 14 · 1 mark

Factorise. 15q + 35

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Question 15 · 3 marks

A triangular prism has a triangular cross-section with base 4 cm and height 6 cm, and a length of 8 cm. (Diagram NOT TO SCALE.) Work out the volume of the triangular prism.

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Question 16 · 2 marks

The table shows the number of minutes taken by 28 students to solve a problem: Number of minutes (m) 0<m≤1 1<m≤2 2<m≤3 3<m≤4 4<m≤5 5<m≤6 Number of students 1 5 6 10 4 2 One of…

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Question 17 · 1 mark

Use set notation to describe the shaded region of the Venn diagram (universal set U with sets M and C; only the M region outside C is shaded).

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Question 18 · 2 marks

Rearrange the formula to make x the subject. y = x/4 + 5

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Question 19 · 1 mark

U = {15, 16, 17, 18, 19, 20}, P = {prime numbers}. Write down the elements of P'.

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Question 20 · 2 marks

Find an expression for the nth term of this sequence: 45, 40, 35, 30, 25.

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Question 21 · 2 marks

Jenna cycles at an average speed of 15 km/h. Find how many minutes she will take to cycle 10 km.

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Question 22 · 2 marks

Find the equation of the line parallel to y = 5x + 1 that passes through (0, −2).

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Question 23 · 2 marks

Triangle ABC is mathematically similar to triangle ADB. AC = 20 cm and AB = 10 cm, with D on AC. (Diagram NOT TO SCALE.) Work out AD.

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