IGCSE Mathematics (0580) — May–June 2024, Paper 42
11 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →A fruit drink is made using 1.5 litres of apple juice and 450 millilitres of mango juice. Write the ratio apple juice : mango juice in its simplest form.
Answer this question and get it marked →The diagram shows a straight line intersecting two parallel lines (NOT TO SCALE). Angles 38°, a° and b° are marked. Find the value of a and the value of b.
Answer this question and get it marked →The table shows the time that each of 40 students takes to travel to school. Time (m minutes) 0 < m <= 10 10 < m <= 25 25 < m <= 40 40 < m <= 60 --- --- --- --- --- Frequency 3 18…
Answer this question and get it marked →The diagram shows a tank in the shape of a half-cylinder of radius 12 cm and length 1 metre (NOT TO SCALE). The tank is fixed horizontally and is completely filled with water.…
Answer this question and get it marked →ABCD is a quadrilateral with AB = 10.4 cm and AD = 6.5 cm (NOT TO SCALE). Angle DAB = 64°, angle BDC = 26° and angle DBC = 42°. Show that BD = 9.55 cm, correct to 2 decimal places.
Answer this question and get it marked →A baker decorates x small cakes and y large cakes. In one day, he decorates: not more than 16 small cakes; less than 10 large cakes; more small cakes than large cakes; a total of…
Answer this question and get it marked →OAB is a sector of a circle, centre O, radius 17 cm. OCD is a sector of a circle, centre O, radius 10 cm (NOT TO SCALE). OCA and ODB are straight lines and angle AOB = 60°. The…
Answer this question and get it marked →A is the point (6, 2) and B is the point (3, -4). Find the coordinates of the midpoint of AB.
Answer this question and get it marked →The point (-1, 6) lies on a curve. This curve has the derived function dy/dx = -4x^3 - 9x^2 + 5. Show that (-1, 6) is a stationary point of the curve.
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