IGCSE Mathematics (0580) — October–November 2024, Paper 43

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

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Question 1 · 9 marks

Dinari sells fruit and vegetables. One day the mass of fruit and vegetables he sells is in the ratio fruit : vegetables = 9 : 8. He sells 48 kg of vegetables. Find the mass of the…

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Question 2 · 12 marks

A is the point (3, 7) and B is the point (-1, 5). Find the coordinates of the midpoint of the line AB.

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Question 3 · 9 marks

Ed invests $500 in an account paying r% per year simple interest. At the end of 14 years the total amount in Ed's account is $675. Find the value of r.

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Question 4 · 15 marks

A box contains 50 cuboids. Each cuboid has a mass of 135 g. The total mass of the cuboids and the box is 7 kg. Calculate the mass of the box. Give your answer in grams.

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Question 5 · 8 marks

Naomi runs 100 m in 15 seconds. Calculate Naomi's average speed in kilometres per hour.

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Question 6 · 9 marks

Simplify (24u/5y) x (10/3u).

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Question 7 · 15 marks

The diagram shows a trapezium with parallel sides 13 cm and 9 cm and perpendicular height 8 cm (NOT TO SCALE). Calculate the area of the trapezium.

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Question 8 · 9 marks

Guillaume draws a pie chart for this data. Calculate the angle for the interval 45 < v <= 50.

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Question 9 · 9 marks

Marwan picks a ball from the bag at random and then replaces it. Find the probability that the ball is white.

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Question 10 · 11 marks

The diagram shows a sketch of the graph of y = 3 + 2x - x^2. A is the point (-1, 0) and B is the point (2, 3). Find the derivative of 3 + 2x - x^2.

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Question 11 · 14 marks

Find g(-3).

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Question 12 · 10 marks

ABCD is a quadrilateral and E is a point on CD. AB = 8.7 cm, BC = 11.4 cm and CE = 10.9 cm. Angle ADE = 90 degrees, angle ABC = 119 degrees and angle CAE = 20 degrees. Show that…

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