IGCSE Mathematics (0580) — May–June 2025, 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 diagram shows a 4 by 4 grid of small squares. In the top row, the 2nd and 4th squares (from the left) are shaded grey. In the bottom row, the 1st square (leftmost) is shaded…
Answer this question and get it marked →The scale drawing shows the positions of two villages, P and Q. The scale is 1 cm represents 0.5 km. The drawing shows P with a North arrow above it, and Q lower and to the right…
Answer this question and get it marked →The diagram (NOT TO SCALE) shows two straight lines intersecting two parallel lines. On the upper parallel line, the left intersection makes an angle of 45 degrees and the right…
Answer this question and get it marked →There are 7 cards, numbered 1, 2, 3, 4, 5, 6, 7. Samira picks one of these cards at random and replaces it. Find the probability that she picks an odd number.
Answer this question and get it marked →The grid shows triangle T with vertices at (-2, 1), (-2, 3), (-1, 1), and triangle U with vertices at (1, -1), (3, -1), (3, -2), drawn on an x-y grid from -4 to 4 on both axes.…
Answer this question and get it marked →Solve. 8x + 7 = 39
Answer this question and get it marked →These are the first 4 terms of a sequence. 11 8 5 2 Find the next term of this sequence.
Answer this question and get it marked →Find the highest common factor (HCF) of 36 and 54.
Answer this question and get it marked →A is the point (3, -1). Vector AB = (2, -4) (column vector with top entry 2 and bottom entry -4). AC = 2 AB. Find the coordinates of the point C.
Answer this question and get it marked →The diagram (NOT TO SCALE) shows a sector of a circle, centre O. The two radii have length 18 cm and the angle at O between them is 45 degrees. The length of the arc is npi cm.…
Answer this question and get it marked →Write 0.007 08 in standard form.
Answer this question and get it marked →The diagram (NOT TO SCALE) shows a circle with points P, Q and R on the circumference. QR is a diameter passing through the circle. R is at the top left, P is at the right, and Q…
Answer this question and get it marked →100 students solve a puzzle. The table shows information about the time taken by each student to solve the puzzle. Time (t seconds) 20 < t <= 40 40 < t <= 60 60 < t <= 100 --- ---…
Answer this question and get it marked →Write 0.25 recurring (the 5 is recurring, i.e. 0.2555...) as a fraction.
Answer this question and get it marked →The diagram shows the graph of y = 2/x - 1, drawn on axes with x from -8 to 8 and y from -5 to 5. The curve has two branches (a reciprocal-type curve shifted down by 1). Write…
Answer this question and get it marked →The diagram (NOT TO SCALE) shows a solid made by joining a hemisphere to a cylinder. The radius of both the hemisphere and the cylinder is 6 cm. The height of the cylinder is 5…
Answer this question and get it marked →Find the value of 125^(2/3).
Answer this question and get it marked →Rationalise the denominator of 9/sqrt(3). Give your answer in its simplest form.
Answer this question and get it marked →Write as a single fraction in its simplest form. (5a/6) x (3b/a)
Answer this question and get it marked →y is inversely proportional to the square root of x, i.e. y proportional to 1/sqrt(x). When x = 9, y = 2. Find the value of y when x = 36.
Answer this question and get it marked →The diagram (NOT TO SCALE) shows the graph of y = 3x - x^3. The graph crosses the x-axis at A, at O and at B. The turning points of the graph are at P (a minimum in the third…
Answer this question and get it marked →Write down the exact value of tan 60 degrees.
Answer this question and get it marked →The diagram (NOT TO SCALE) shows a trapezium-like figure with points O, A, B, C and M. O is at the lower left, A is on the lower line to the right of O (vector OA = a). B is above…
Answer this question and get it marked →The line y = 7x + 3 intersects the curve y = x^2 + 5x - 12 at the points A and B. Find the coordinates of A and B.
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