IGCSE Mathematics (0580) — May–June 2024, Paper 22
24 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →The temperature at midnight is -4 °C. The temperature at noon is 25 °C. Work out the difference between these two temperatures.
Answer this question and get it marked →A gardener charges $6.55 for each hour he works plus a fixed charge of $15.50. Calculate the total amount he charges when he works for 4 hours.
Answer this question and get it marked →A delivery driver records the number of pizzas she delivers each month for one year. 48 44 39 28 57 22 36 41 54 57 49 52 Complete the stem-and-leaf diagram. (Key: 4 8 represents…
Answer this question and get it marked →Jonah has $750. He spends 1/4 of this money on travel and some of this money on food. He now has $437.50. Work out the fraction of the $750 he spends on food.
Answer this question and get it marked →The table shows part of a tram timetable. Newpoint Westhill --- --- 10 30 11 17 12 18 13 30 14 17 All the trams take the same number of minutes to complete the journey from…
Answer this question and get it marked →Write 0.04628 correct to 2 significant figures.
Answer this question and get it marked →The diagram shows a Venn diagram with two sets A and B. On the Venn diagram, shade the region A union B.
Answer this question and get it marked →Kai invests $5000 in an account paying simple interest at a rate of r % per year. At the end of 8 years, the value of his investment is $5700. Find the value of r.
Answer this question and get it marked →Triangles A and B are drawn on a coordinate grid. Describe fully the single transformation that maps triangle A onto triangle B.
Answer this question and get it marked →A company surveys 40 of its employees. In the survey, 3 employees say they walk to work. The company has a total of 1240 employees. Find the expected number of employees in the…
Answer this question and get it marked →The diagram shows a right-angled triangle (NOT TO SCALE) with hypotenuse 14 cm, an adjacent side of 8.5 cm, and angle x° between them. Calculate the value of x.
Answer this question and get it marked →Without using a calculator, work out 2 1/4 ÷ 1 7/8. 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 →A is the point (0, 2) and B is the point (8, 6). Find the equation of line AB. Give your answer in the form y = mx + c.
Answer this question and get it marked →The diagram shows three towns A, B and C (NOT TO SCALE), equidistant from each other (equilateral). The bearing of C from A is 104°. Calculate the bearing of B from C.
Answer this question and get it marked →The speed-time graph shows information about a car journey (NOT TO SCALE). The car travels at a constant 16 m/s, then decelerates between 240 s and 320 s. Find the deceleration of…
Answer this question and get it marked →W = {students who walk to school}, G = {students who wear glasses}. There are 20 students in a class. 8 walk to school; 3 wear glasses and walk to school; 2 do not wear glasses…
Answer this question and get it marked →The graph of y = f(x) is drawn on the grid. Draw the tangent to the graph at the point x = 3.
Answer this question and get it marked →y is directly proportional to (x - 1)^2. When x = 4, y = 3. Find y when x = 7.
Answer this question and get it marked →Two parcels are mathematically similar. The larger parcel has volume 80 cm^3 and height 5.2 cm. The smaller parcel has volume 33.75 cm^3. Calculate the height of the smaller…
Answer this question and get it marked →Solve the simultaneous equations. You must show all your working. 4y + 3x = 13 y = x^2 - 18
Answer this question and get it marked →For the sketch shown, put a ring around the correct type of function shown (options: linear, cubic, quadratic, reciprocal, exponential). The graph shows a curve through the origin…
Answer this question and get it marked →The Venn diagram shows information about the number of students in a class studying English (E), French (F) and Spanish (S). Region counts: E only 8, E∩F only 1, F only 6, E∩S…
Answer this question and get it marked →O is the origin and OPQR is a parallelogram (NOT TO SCALE). M is the midpoint of PQ and N divides QR in the ratio 2 : 1. OP = a and OR = b. Find MN. Give your answer in terms of a…
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