IGCSE Mathematics (0580) — May–June 2023, Paper 23
23 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →The diagram shows a shape. Complete the statement: The diagram has rotational symmetry of order ...
Answer this question and get it marked →A film lasts for 2 hours 50 minutes. The film ends at 23 05. Find the time the film starts.
Answer this question and get it marked →The diagram shows a cuboid with dimensions 8 cm, 3 cm and 5 cm. Find the total surface area of the cuboid.
Answer this question and get it marked →v = u − 9.8t. Find the value of v when u = 4 and t = −7.
Answer this question and get it marked →At the end of the day, a shopkeeper has 12 tins of cat food left. This is 3/13 of the number he had at the beginning of the day. Calculate the number of tins he had at the…
Answer this question and get it marked →A spinner has five sides painted red, blue, green, yellow or orange. The table shows: Red 0.3, Blue 0.16, Green 0.18, Yellow 0.25, Orange unknown. Complete the table.
Answer this question and get it marked →The grid shows triangles A and B. Describe fully the single transformation that maps triangle A onto triangle B.
Answer this question and get it marked →The distance–time graph shows Kai's journey from home to the office (home at 0 km, office at 65 km; departs 10 00, arrives 12 00). Calculate the average speed, in km/h, for Kai's…
Answer this question and get it marked →Without using a calculator, work out 5 11/12 + 2 1/4. You must show all your working and give your answer as a mixed number in its simplest form.
Answer this question and get it marked →𝓔 = {a, b, e, g, l, m, o, r, t, y}, P = {a, b, e, g, l, r}, Q = {e, g, m, o, r, t, y}. Complete the Venn diagram (two overlapping sets P and Q).
Answer this question and get it marked →The position vector of A is (5, 3) and BA = (4, 8) (column vectors). Show that OB = 5.1, correct to 1 decimal place.
Answer this question and get it marked →Calculate 4² + ³√0.4 (i.e. 16 + cube root of 0.4). [As printed: 4² + 3 of 0.4 with the 3 a cube-root index.]
Answer this question and get it marked →Write 0.5̅8̅1 (0.5 recurring 81) as a fraction. You must show all your working and give your answer in its simplest form.
Answer this question and get it marked →The number of trees in a forest is decreasing exponentially at a rate of 1.75% per year. Eleven years ago there were 980 trees. Calculate the number of trees in the forest now.…
Answer this question and get it marked →The volume of a cylinder is 1970 cm³. The height of the cylinder is 12.8 cm. Calculate the radius of the cylinder.
Answer this question and get it marked →Rearrange the formula to make m the subject: R = 2(m − k)/m.
Answer this question and get it marked →y is inversely proportional to the cube root of (x + 5). When x = 3, y = 12. Find y when x = 22.
Answer this question and get it marked →Solve the equation x² + 5x − 7 = 0. You must show all your working and give your answers correct to 2 decimal places.
Answer this question and get it marked →f(x) = 6x − 7, g(x) = x⁻³. Find f(x + 2). Give your answer in its simplest form.
Answer this question and get it marked →Simplify (2x² + 5x − 12)/(4x² − 9).
Answer this question and get it marked →These are the first four terms of a sequence: 2.75, 6, 11.25, 20. The nth term of this sequence is (1/4)n³ + an² + bn. Calculate the value of a and the value of b.
Answer this question and get it marked →A train travels between two stations. The distance between the stations is 220 km, correct to the nearest kilometre. The speed of the train is 125 km/h, correct to the nearest 5…
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