IGCSE Mathematics (0980) — May–June 2024, Paper 42

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

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Question 1 · 12 marks

A fruit drink is made using 1.5 litres of apple juice and 450 millilitres of mango juice. Write the ratio apple juice : mango juice in its simplest form.

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Question 2 · 9 marks

The diagram shows a straight line intersecting two parallel lines, with an angle 38°, and angles a° and b°. Find the value of a and the value of b.

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Question 3 · 15 marks

The table shows the time each of 40 students takes to travel to school: 0<m≤10 → 3; 10<m≤25 → 18; 25<m≤40 → 15; 40<m≤60 → 4. Calculate an estimate of the mean.

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Question 4 · 15 marks

A tank is a half-cylinder of radius 12 cm and length 1 metre, fixed horizontally and completely filled with water. Calculate the volume of water in the tank. Give your answer…

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Question 5 · 18 marks

Simplify (25 x^6)^(3/2).

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Question 6 · 10 marks

ABCD is a quadrilateral with AB = 10.4 cm and AD = 6.5 cm. Angle DAB = 64°, angle BDC = 26° and angle DBC = 42°. Show that BD = 9.55 cm, correct to 2 decimal places.

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Question 7 · 11 marks

Solve 3x − 8 = 6 − 4x.

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Question 8 · 11 marks

A baker decorates x small cakes and y large cakes. In one day he decorates: not more than 16 small cakes; less than 10 large cakes; more small cakes than large cakes; a total of…

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Question 9 · 10 marks

OAB is a sector of a circle, centre O, radius 17 cm. OCD is a sector, centre O, radius 10 cm. OCA and ODB are straight lines and angle AOB = 60°. The perimeter of the shaded shape…

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Question 10 · 12 marks

A is the point (6, 2) and B is the point (3, −4). Find the coordinates of the midpoint of AB.

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Question 11 · 7 marks

The point (−1, 6) lies on a curve with derived function dy/dx = −4x³ − 9x² + 5. Show that (−1, 6) is a stationary point of the curve.

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