IGCSE Mathematics (0580) — May–June 2024, Paper 11

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

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Question 1 · 3 marks

Write 0.8 as a fraction.

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Question 2 · 1 mark

A line AB is drawn on the page (a diagonal line going from upper-left A to lower-right B). Measure the length of line AB in millimetres.

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Question 3 · 2 marks

The travel graph shows the journey of a bus. The horizontal axis shows Time from 1400 to 1600, and the vertical axis shows Distance (km) from 0 to 14. The bus starts at 0 km at…

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Question 4 · 1 mark

Write down the order of rotational symmetry of a rhombus.

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Question 5 · 1 mark

The diagram shows a shape on a 1 cm² grid. The shape is an irregular polygon (a rectangle with a triangular notch cut from the bottom edge). Find the area of this shape.

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Question 6 · 2 marks

Work out. 28 − 16 ÷ 2

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Question 7 · 1 mark

The temperature on Monday is −27 °C. The temperature on Tuesday is 15 °C higher than on Monday. Work out the temperature on Tuesday.

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Question 8 · 2 marks

The diagram shows a shape. Draw all the lines of symmetry on this shape.

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Question 9 · 2 marks

The diagram shows two sides of a parallelogram ABCD on a coordinate grid. Vertex A is at (-7, 5), B is at (-3, -1) and C is at (2, 3). Find the coordinates of point D.

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Question 10 · 4 marks

The diagram shows a cuboid with dimensions 15 cm by 6 cm by h cm (NOT TO SCALE). The total surface area of this cuboid is 369 cm^2. Work out the value of h.

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Question 11 · 3 marks

Geetha has a box of toys. She picks a toy at random from the box. The probability that she picks a wooden toy is 0.6. Work out the probability that she does not pick a wooden toy.

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Question 12 · 2 marks

The table shows some information about two sequences. nth term 5th term --- --- --- Sequence A 60 - 4n Sequence B n^2 - 300 Complete the table.

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Question 13 · 1 mark

Find the coordinates of the point where the line y = 3x - 5 crosses the y-axis.

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Question 14 · 2 marks

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of (28.2 - 5.6) / (4.2 x 1.68). You must show all your working.

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Question 15 · 2 marks

Factorise completely. 36x^2 + 40x

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Question 16 · 3 marks

The diagram shows a rectangle (NOT TO SCALE) with length 3x - 12 and width x + 7. Find an expression for the perimeter of the rectangle. Give your answer in its simplest form.

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Question 17 · 2 marks

The diagram shows a circle, centre O. P lies on the circle. OP is drawn from the centre to P. Write down the mathematical name of the line OP.

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Question 18 · 2 marks

Find the greatest odd number that is a factor of 140 and a factor of 210.

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Question 19 · 2 marks

Calculate. cube root of 343 minus square root of 40.96

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Question 20 · 2 marks

Find the value of 137^0.

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Question 21 · 2 marks

Calculate 1.827 x 10^6 / 9000. Give your answer in standard form.

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Question 22 · 3 marks

Solve the simultaneous equations. You must show all your working. 6x + 2y = 29 3x - 4y = 17

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Question 23 · 2 marks

Change 9.6 km/h into m/s.

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Question 24 · 2 marks

These are the first five terms of a sequence. 11 18 25 32 39 Find an expression for the nth term of the sequence.

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Question 25 · 7 marks

The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL (NOT TO SCALE). JKL is an isosceles right-angled triangle with JK = JL = 12.8 cm. Calculate…

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