IGCSE Mathematics (0980) — May–June 2024, Paper 22

24 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

The temperature at midnight is −4 °C. The temperature at noon is 25 °C. Work out the difference between these two temperatures.

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Question 2 · 2 marks

A gardener charges $6.55 for each hour he works plus a fixed charge of $15.50. Calculate the total amount he charges when he works for 4 hours.

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Question 3 · 3 marks

A delivery driver records the number of pizzas delivered each month for a year: 48, 44, 39, 28, 57, 22, 36, 41, 54, 57, 49, 52. Complete the stem-and-leaf diagram (stems 2, 3, 4,…

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Question 4 · 3 marks

Jonah has $750. He spends 1/4 of this money on travel and some on food. He now has $437.50. Work out the fraction of the $750 he spends on food.

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Question 5 · 2 marks

The table shows part of a tram timetable from Newpoint to Westhill. All trams take the same number of minutes for the journey. Complete the table. Newpoint Westhill --- --- 10 30…

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Question 6 · 1 mark

Write 0.04628 correct to 2 significant figures.

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Question 7 · 1 mark

On the Venn diagram, shade the region A ∪ B.

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Question 8 · 3 marks

Kai invests $5000 in an account paying simple interest at a rate of r % per year. At the end of 8 years the value of his investment is $5700. Find the value of r.

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Question 9 · 5 marks

Describe fully the single transformation that maps triangle A onto triangle B.

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Question 10 · 1 mark

Write 174 000 in standard form.

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Question 11 · 2 marks

A company surveys 40 of its employees. 3 say they walk to work. The company has 1240 employees in total. Find the expected number of employees who walk to work.

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Question 12 · 2 marks

The diagram shows a right-angled triangle with hypotenuse 14 cm and adjacent side 8.5 cm, with angle x° between them. Calculate the value of x.

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Question 13 · 3 marks

Without using a calculator, work out 2 1/4 ÷ 1 7/8. You must show all your working and give your answer as a mixed number in its simplest form.

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Question 14 · 2 marks

A is the point (0, 2) and B is the point (8, 6). Find the equation of line AB. Give your answer in the form y = mx + c.

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Question 15 · 3 marks

Three towns A, B and C are equidistant from each other (so triangle ABC is equilateral). The bearing of C from A is 104°. Calculate the bearing of B from C.

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Question 16 · 4 marks

The speed–time graph shows a car journey (speed rises to 16 m/s, then constant, then decelerates from 240 s to 320 s where speed is 30... ). Find the deceleration of the car…

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Question 17 · 2 marks

W = {students who walk to school}, G = {students who wear glasses}. There are 20 students in a class. 8 walk to school; 3 wear glasses and walk to school; 2 do not wear glasses…

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Question 18 · 3 marks

The graph of y = f(x) is drawn on the grid. Draw the tangent to the graph at the point x = 3.

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Question 19 · 4 marks

y is directly proportional to (x − 1)². When x = 4, y = 3. Find y when x = 7.

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Question 20 · 3 marks

Two parcels are mathematically similar. The larger parcel has volume 80 cm³ and height 5.2 cm. The smaller parcel has volume 33.75 cm³. Calculate the height of the smaller parcel.

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Question 21 · 5 marks

Solve the simultaneous equations. You must show all your working. 4y + 3x = 13 ; y = x² − 18

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Question 22 · 7 marks

For the sketch shown, put a ring around the correct type of function: linear, cubic, quadratic, reciprocal, exponential. [The first sketch shows a cubic-shaped curve.]

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Question 23 · 3 marks

The Venn diagram shows the number of students studying English (E), French (F), Spanish (S). Find n((E ∪ F ∪ S)').

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Question 24 · 5 marks

O is the origin and OPQR is a parallelogram. M is the midpoint of PQ and N divides QR in the ratio 2 : 1. OP = a and OR = b. Find vector MN. Give your answer in terms of a and/or…

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