IGCSE Mathematics (0980) — May–June 2023, Paper 42
10 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →The diagram shows an isosceles triangle with the base extended. The apex angle is 42°. Find the value of x, where x° is the exterior angle at the base.
Answer this question and get it marked →Anil changes $830 into euros when the exchange rate is 1 euro = $1.16. He spends 500 euros. He then changes the remaining money back into dollars at the same exchange rate. Work…
Answer this question and get it marked →The diagram shows a right-angled triangle ABC with AC = (x + 3) cm and AB = (2x + 5) cm. The area of the triangle is 60 cm². Show that 2x² + 11x − 105 = 0.
Answer this question and get it marked →The table shows information about the heights of 80 children. Heights: 1.2 < h ≤ 1.4 (freq 2), 1.4 < h ≤ 1.5 (freq 13), 1.5 < h ≤ 1.65 (freq 24), 1.65 < h ≤ 1.8 (freq 32), 1.8 < h…
Answer this question and get it marked →A cone has base diameter 8 cm and perpendicular height 15 cm. Calculate the volume of the cone. [The volume, V, of a cone with radius r and height h is V = (1/3)πr²h.]
Answer this question and get it marked →A sequence has nth term n/(2n + 3). Find the first three terms of this sequence. Give your answers as fractions.
Answer this question and get it marked →The diagram shows the straight roads between town A, town B and town C. AC = 60 km, CB = 87 km and B is due east of A. The bearing of C from A is 038°. Show that angle ACB =…
Answer this question and get it marked →Show that the equation y = (x − 4)(x + 1)(x − 2) can be written as y = x^3 − 5x^2 + 2x + 8.
Answer this question and get it marked →ABCDEFGH is a cuboid with a square base of side x cm. CG = 20 cm and AG = 28 cm. Calculate the value of x.
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