IGCSE Mathematics (0580) — May–June 2025, Paper 21
23 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Simplify. 7c - 5d + c + 3d
Answer this question and get it marked →The diagram shows two parallel lines intersecting two straight lines. The two parallel lines (each marked with an arrow) cross two other straight lines that meet at a point. At…
Answer this question and get it marked →Sally invests $1500 at 3% per year simple interest. Work out the total value of her investment at the end of 6 years.
Answer this question and get it marked →Work out. 5/6 - 2/3 x 3/8
Answer this question and get it marked →The interior angle of a regular polygon is 150°. Find the number of sides of this polygon.
Answer this question and get it marked →The line x + y = 7 is drawn on the grid. (The grid shows axes from 0 to 8 on the x-axis and 0 to 9 on the y-axis, with the line x + y = 7 drawn from (0, 7) to (7, 0).) On the…
Answer this question and get it marked →Write the recurring decimal 0.2 6-recurring (i.e. 0.2666... where the 6 repeats) as a fraction. Give your answer in its simplest form.
Answer this question and get it marked →m = (11, 5) [column vector with top component 11 and bottom component 5] n = (8, -3) [column vector with top component 8 and bottom component -3] Find 2m - n.
Answer this question and get it marked →The table shows some information about the marks scored by a group of students in a test. Test mark 4 5 8 --- --- --- --- Frequency 2 4 n The mean mark is 6. Work out the value of…
Answer this question and get it marked →A, B and C are three points on a circle, centre O. DE is a tangent to the circle at A. Angle ACO = 35° and angle BCO = 40°. The diagram shows the circle with centre O; A is at the…
Answer this question and get it marked →The diagram shows the graph of y = f(x) and the point P(-2, 11). The graph is a downward (n-shaped) parabola with a maximum near the y-axis at about y = 4, drawn on a grid with x…
Answer this question and get it marked →The time spent on the internet by each of 120 adults is recorded for one day. The cumulative frequency diagram shows this information. The horizontal axis is Time (hours) from 0…
Answer this question and get it marked →The diagram shows solid A and solid B. Solid A is made from a hemisphere and a cone each with radius 6 cm. The cone has sloping edge 10 cm. Solid B is a cylinder with radius 4 cm…
Answer this question and get it marked →f(x) = 3x - 4 g(x) = 4x + 1 Find f(-2).
Answer this question and get it marked →Expand and simplify. (2 - sqrt(5))(1 - 3 sqrt(5))
Answer this question and get it marked →Expand and simplify. (x + 4)(x - 3)(3x + 2)
Answer this question and get it marked →A bag contains 6 red marbles, 3 green marbles and 1 blue marble. Two marbles are picked at random from the bag with replacement. Find the probability that both marbles are green.
Answer this question and get it marked →One day, Anya runs 12 km at a speed of x km/h. The next day she walks 10 km at a speed of (x - 4) km/h. Write down an expression, in terms of x, for the time she spends running.
Answer this question and get it marked →Find the value of 27^(-2/3).
Answer this question and get it marked →The diagram shows a right-angled triangle. The angle at the lower-left vertex is 30°, the horizontal base is x cm, the vertical right-hand side is 6 cm, and the right angle is at…
Answer this question and get it marked →OABC is a rhombus and O is the origin. The diagonals of the rhombus intersect at P. Vector OP = 2m and vector AP = n. The diagram shows rhombus OABC with O at the bottom-left, A…
Answer this question and get it marked →A curve has equation y = x^n + qx^2 + 9x. dy/dx = 3x^2 - 12x + 9 Find the value of n, and the value of q.
Answer this question and get it marked →Simplify. (2x^2 + 10x)/(x^2 - 25)
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