IGCSE Mathematics (0580) — May–June 2023, Paper 22
23 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →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 (Key: 0 1 represents 1 minute).
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: P(A)=0.2, P(C)=0.05, P(D)=0.35, P(B) unknown. Complete the table.
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 →The grid shows shapes A and B. Describe fully the single transformation that maps shape A onto shape B.
Answer this question and get it marked →The diagram shows a shape ABCD formed by the sectors of two circles with the same centre O. Both sector angles are 140°, OC = 3.2 cm and CB = 2.6 cm. The area of the shape is kπ…
Answer this question and get it marked →One solution of the equation ax² + b = 181 is x = 8. a and b are both positive integers greater than 1. Find the value of b.
Answer this question and get it marked →A, B, C and D are points on a circle. AB is parallel to DC and angle ACD = 32°. Chords AC and DB intersect at E, with angle AEB (or the marked angle) = x°. Find the value of x.
Answer this question and get it marked →f(x) = 5x + 2. Find f⁻¹(x).
Answer this question and get it marked →C is the point (5, −1) and D is the point (13, 15). Find the midpoint of CD.
Answer this question and get it marked →Write 0.6̅2̅1 (i.e. 0.6 recurring 21) as a fraction in its simplest form. You must show all your working.
Answer this question and get it marked →The diagram shows a triangle with two sides 92.5 cm and 71 cm and the included acute angle marked x°. The area of the triangle is 2143 cm². Work out the value of x.
Answer this question and get it marked →Make x the subject of the formula c = 3x/(2x − 5).
Answer this question and get it marked →m is inversely proportional to the square of (t + 2). m = 0.64 when t = 3. Find m when t = 8.
Answer this question and get it marked →In the Venn diagram, shade the region A ∩ B′ ∩ C.
Answer this question and get it marked →Solve the equation 5 sin x = −3 for 0° ⩽ x ⩽ 360°.
Answer this question and get it marked →Write 5/(3x + 2) + 4/(2x − 1) as a single fraction in its simplest form.
Answer this question and get it marked →Bag A and bag B each contain red sweets and yellow sweets. Anna picks a sweet at random from bag A; Ben picks a sweet at random from bag B. The probability that Anna picks a red…
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