IGCSE Mathematics (0580) — 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 marked angle at the apex is 42°, and x° is the exterior angle formed where the base is extended. NOT TO SCALE.…
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 the right angle at A. AC = (x + 3) cm and AB = (2x + 5) cm. NOT TO SCALE. The area of the triangle is 60 cm². Show that 2x² +…
Answer this question and get it marked →The table shows information about the heights of 80 children. Height (h metres) 1.2 < h ≤ 1.4 1.4 < h ≤ 1.5 1.5 < h ≤ 1.65 1.65 < h ≤ 1.8 1.8 < h ≤ 1.9 --- --- --- --- --- ---…
Answer this question and get it marked →A cone has base diameter 8 cm and perpendicular height 15 cm. NOT TO SCALE. Calculate the volume of the cone. [The volume, V, of a cone with radius r and height h is V =…
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°. NOT TO SCALE. Show that…
Answer this question and get it marked →Show that the equation y = (x − 4)(x + 1)(x − 2) can be written as y = x³ − 5x² + 2x + 8.
Answer this question and get it marked →Simplify (3x²y⁴)³.
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. NOT TO SCALE. Calculate the value of x.
Answer this question and get it marked →