IGCSE Mathematics (0580) — May–June 2024, Paper 23
26 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Write the number two million two thousand and two in figures.
Answer this question and get it marked →Put one pair of brackets into this calculation to make it correct. 5 - 4 x 3 - 9 - 2 = 0
Answer this question and get it marked →The base of a cuboid measures 10 cm by 7 cm. The volume of the cuboid is 280 cm^3. Calculate the height of the cuboid.
Answer this question and get it marked →In a city, the probability that it will rain today is 0.15. Find the probability that it will not rain today in this city.
Answer this question and get it marked →The scale of a map is 1 : 40 000. On the map the distance between two villages is 37 cm. Calculate the actual distance between the two villages. Give your answer in kilometres.
Answer this question and get it marked →Without using a calculator, work out 3/7 - 1/14. You must show all your working and give your answer as a fraction in its simplest form.
Answer this question and get it marked →The diagram shows a right-angled triangle ABC (NOT TO SCALE), right-angled at A. AC = 8 cm and angle ABC = 37° (at B). Calculate AB.
Answer this question and get it marked →Find the gradient of the line joining the points (-2, 7) and (3, 1).
Answer this question and get it marked →Solve the simultaneous equations. 5t - 2w = 19 3t + 2w = 5
Answer this question and get it marked →The diagram shows a two-set Venn diagram with sets A and B. Shade the region A union B'.
Answer this question and get it marked →P, Q, R and T are points on the circle (NOT TO SCALE). AB is a tangent to the circle at T. Angle ATP = 50°, angle PTR = 48° and PQ = QR. Find angle PRT.
Answer this question and get it marked →The time taken for each of 200 students to complete a calculation is measured. The cumulative frequency diagram shows the results. Use the diagram to find an estimate for the…
Answer this question and get it marked →A = πr^2 + πdh Rearrange the formula to make h the subject.
Answer this question and get it marked →Work out, giving each answer in standard form. (2.1 x 10^101) x (8 x 10^101)
Answer this question and get it marked →The diagram shows two sides, VA and VB, of a regular polygon (NOT TO SCALE). AVX is a straight line. Angle BVX = y° and angle AVB = 11.5y°. Find the number of sides of this…
Answer this question and get it marked →Triangles T and W are drawn on a coordinate grid. Describe fully the single transformation that maps triangle T onto triangle W.
Answer this question and get it marked →f(x) = 3^x + 2. Find x when f(x) = 245.
Answer this question and get it marked →Write the recurring decimal 0.4(1) (0.41 with the 1 recurring) as a fraction in its simplest form. You must show all your working.
Answer this question and get it marked →Solve the equation tan x + 3 = 0 for 0° <= x <= 360°.
Answer this question and get it marked →Simplify. 2/(y+1) - 3/y Give your answer as a single fraction in its simplest form.
Answer this question and get it marked →The diagram shows a triangular prism with cross-section triangle BCV (NOT TO SCALE). Angle BCV = 90°, BC = 5 cm, CV = 4 cm and AB = 15 cm. Calculate the angle between AV and the…
Answer this question and get it marked →Simplify. (pt - p - t + 1) / (1 - t^2)
Answer this question and get it marked →In the diagram, O is the origin (NOT TO SCALE). OP = p and OQ = q. R is the point of intersection of PQ and OS, with PR : RQ = 1 : 2 and OR = RS. Find the position vector of S in…
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