IGCSE Mathematics (0580) — October–November 2024, Paper 32

9 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

Onions cost $1.85 per kilogram and potatoes cost $2.34 per kilogram. Sophie buys 2.4 kg of onions and 4.5 kg of potatoes. Work out how much change she receives from $20.

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Question 2 · 17 marks

From this list 3.142, sqrt(87), 14, 41, 56, 117, 121, write down an odd number.

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Question 3 · 8 marks

A sequence of shapes is made with squares and triangles (Shape 1, Shape 2, Shape 3 shown on a grid). On the grid, draw Shape 3.

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Question 4 · 13 marks

Calculate the volume of a cylinder with radius 7.8 cm and height 15 cm.

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Question 5 · 11 marks

Students solve a puzzle by making guesses. The table shows the number of guesses that each of 40 students make. Number of guesses 1 2 3 4 5 6 --- --- --- --- --- --- --- Frequency…

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Question 6 · 10 marks

The diagram shows a cuboid with dimensions 4 cm by 4 cm by 2 cm (NOT TO SCALE). On the 1 cm^2 grid, complete a net of this cuboid. One face has been drawn for you.

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Question 7 · 11 marks

Universal set = {students in a group}, M = {students who pass the mathematics test}, S = {students who pass the science test}. 142 students are in the group. 105 students pass the…

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Question 8 · 15 marks

The diagram shows line L on a grid (passing through (0, 2) and (8, 6)). Find the equation of line L in the form y = mx + c.

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Question 9 · 7 marks

Triangle T is drawn on a grid (vertices around (1,1), (3,3), (4,1)). On the grid, translate triangle T by the vector (-5, -4).

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