IGCSE Mathematics (0580) — May–June 2023, Paper 12
23 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Write down all the factors of 18.
Answer this question and get it marked →The diagram shows a line AB. Draw a line perpendicular to the line AB.
Answer this question and get it marked →The diagram shows a grid of squares, some shaded. Shade two squares so that the diagram has rotational symmetry of order 4.
Answer this question and get it marked →Kai and Ava each have a piece of wood 57 cm long. Kai cuts his piece into 4 equal length parts. Find the length of one part.
Answer this question and get it marked →In the diagram, ABC is a triangle and ACD is a straight line. Angle ABC = 59°, angle BAC = 73°, angle BCA = x° and angle BCD = y°. Find the value of x and the value of y.
Answer this question and get it marked →Find the temperature that is 8 °C colder than −5 °C.
Answer this question and get it marked →There are two prime numbers in this list: 27, 47, 57, 61, 75, 93. Work out the sum of these two prime numbers.
Answer this question and get it marked →On ten days, Stefan records the number of minutes he has to wait for a train: 1, 3, 12, 5, 4, 23, 5, 24, 11, 8. Complete the stem-and-leaf diagram to show this information. (Key:…
Answer this question and get it marked →The scale drawing shows the positions of town A and town B, with a North line at A. Measure the bearing of town B from town A.
Answer this question and get it marked →The diagram shows a right-angled triangular prism with triangle sides 3 cm, 4 cm, 5 cm and length 6 cm. On the 1 cm² grid, complete the net of this prism. One face has been drawn…
Answer this question and get it marked →The distance from town A to town B on a map is 3.5 cm. The scale on the map is 1 : 250 000. Find the actual distance, in kilometres, from town A to town B.
Answer this question and get it marked →A spinner is spun. The possible outcomes are A, B, C or D. The probability of spinning A, C or D is shown in the table: P(A)=0.2, P(C)=0.05, P(D)=0.35, P(B) unknown. Complete the…
Answer this question and get it marked →𝓔 = {x 1 ⩽ x ⩽ 20}, E = {even numbers}, M = {multiples of 5}. Find n(M).
Answer this question and get it marked →Without using a calculator, work out 4/7 ÷ 1 5/21. You must show all your working and give your answer as a fraction in its simplest form.
Answer this question and get it marked →F is the point (1, −4), FG = (8, −3) and GH = (−12, 35) (column vectors). Find 3FG.
Answer this question and get it marked →x is an integer where x ⩾ −3 and x < 3. Write down all the possible values of x.
Answer this question and get it marked →Find the size of an interior angle of a regular 15-sided polygon.
Answer this question and get it marked →Write 45 000 in standard form.
Answer this question and get it marked →Buses at a station go to the port or to the town. Buses leave every 28 minutes for the port. Buses leave every 48 minutes for the town. At 10 18 a bus for the port and a bus for…
Answer this question and get it marked →Triangle ABC is similar to triangle PQR. AB = 15 cm, BC (=CB segment, the side 9 cm is AC) — specifically AC = 9 cm and AB = 15 cm; PQ = 18 cm corresponds to AB. Calculate QR.
Answer this question and get it marked →The diagram shows a right-angled triangle ABC with the right angle at B, AC = 8.6 cm and angle ACB = 42°. Calculate AB.
Answer this question and get it marked →The mass, m kilograms, of object A is 350 kg, correct to the nearest 10 kg. Complete this statement about the value of m: ... ⩽ m < ...
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