IGCSE Mathematics (0580) — May–June 2025, Paper 23
24 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →The probability of picking a green pen from a box is 0.17. Find the probability of not picking a green pen from the box.
Answer this question and get it marked →The diagram (not to scale) shows quadrilateral ABCD with various lines extended. ABCD is a quadrilateral. CDE is a straight line. AFB is an isosceles triangle. At vertex A, angle…
Answer this question and get it marked →The diagram shows a pyramid ABCDE with a square base. M is the centre of the square base. E is vertically above M. Write down the number of planes of symmetry of this pyramid.
Answer this question and get it marked →The number of ice creams sold increases as the temperature rises. What type of correlation does this statement describe?
Answer this question and get it marked →The grid shows triangle A (small shaded triangle) and triangle B. Describe fully the single transformation that maps triangle A onto triangle B.
Answer this question and get it marked →There are 15 giraffes in a group. The table gives information about the heights of the 15 giraffes. Information --- One giraffe has a height of 2.6 m No giraffe is shorter than…
Answer this question and get it marked →Work out. 5/6 − 7/12 Give your answer as a fraction in its simplest form.
Answer this question and get it marked →Write 42 as a product of its prime factors.
Answer this question and get it marked →Solve. 5x^2 = 12 − 17x
Answer this question and get it marked →Solve the simultaneous equations. 4x − 5y = 13 3x − 2y = 8
Answer this question and get it marked →Angela picks a number at random from the numbers 1, 2 and 3. She then picks a number at random from the numbers 4, 5 and 6. She adds the two numbers to find the total. Complete…
Answer this question and get it marked →v = (2, −3) as a column vector (top component 2, bottom component −3). Find 5v.
Answer this question and get it marked →A, B, C and D are points on a circle. EF is a tangent to the circle at A. AB is parallel to DC. Find angle DCB, giving a geometrical reason.
Answer this question and get it marked →Find the lowest common multiple (LCM) of 15xy^3 and 18x^4y.
Answer this question and get it marked →Simplify. sqrt(27) + sqrt(12)
Answer this question and get it marked →Write 0.3̇2̇8̇ as a fraction in its simplest form. (The recurring decimal is 0.3 with 2 and 8 recurring, i.e. 0.3282828...)
Answer this question and get it marked →Solid A is mathematically similar to solid B. The diagram (NOT TO SCALE) shows two similar triangular prisms: Solid A is the smaller, with height 7 cm; Solid B is the larger, with…
Answer this question and get it marked →Make t the subject of the formula. 2 = m(1 − t) / (pt)
Answer this question and get it marked →Simplify. (7x − x^2) / (49 − x^2)
Answer this question and get it marked →The diagram (NOT TO SCALE) shows a sector of a circle, centre O. The radius of the circle is 6 cm. The minor sector angle AOB is 40° (A above B, both on the circle). Calculate the…
Answer this question and get it marked →Differentiate x^3 − 3x^2 + 1.
Answer this question and get it marked →f(x) = 2x + 5, g(x) = x − 4, h(x) = 5^x. Find f(3).
Answer this question and get it marked →Write down the value of cos 90°.
Answer this question and get it marked →A is the point (a, 12) and B is the point (b, 27). Find the y-coordinate of the midpoint of AB.
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