IGCSE Mathematics - International (0607) — May–June 2025, Paper 43
21 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Complete the statements. A rhombus has rotational symmetry of order ........................ A parallelogram has ........................ lines of symmetry.
Answer this question and get it marked →Convert 0.027 kilometres into centimetres.
Answer this question and get it marked →Calculate. cube-root(1 - 2.7/3.5) i.e. (1 - 2.7/3.5)^(1/3) Give your answer correct to 4 significant figures.
Answer this question and get it marked →In the diagram, triangle ABC has CA = CB and ABE is a straight line. The angle at the apex C is marked x°. The exterior angle at B (between CB produced beyond the triangle and the…
Answer this question and get it marked →Solve. 0 = 4x - 11
Answer this question and get it marked →The diagram shows a right-angled triangle. The vertical side has length 6 cm and the horizontal side (adjacent to the angle w°) has length 11 cm. The right angle is between the 6…
Answer this question and get it marked →Write down the type of correlation between the time Omar spent revising and his test score.
Answer this question and get it marked →f(x) = 3/x - x^2 On the diagram, sketch the graph of y = f(x) for values of x between -3 and 3.
Answer this question and get it marked →The volume of a sphere is 96.5 cm^3. Calculate the radius of the sphere. [Volume of a sphere of radius r: V = (4/3)pir^3]
Answer this question and get it marked →The speed of each of 155 cars passing a school gate is recorded. The results are shown in the table. Speed (v km/h) 10 < v <= 20 20 < v <= 30 30 < v <= 35 35 < v <= 40 40 < v <=…
Answer this question and get it marked →Vector PQ = (5, -4) (a column vector with top component 5 and bottom component -4). Find PQ (the magnitude of vector PQ).
Answer this question and get it marked →w is proportional to sqrt(x + 1). When x = 3, w = 8. Find x when w = 20.
Answer this question and get it marked →A solid is formed from a cone and a hemisphere. The cone and the hemisphere each have a radius of 6 cm. The cone has a height of 15 cm. The flat circular face of the hemisphere is…
Answer this question and get it marked →Priya buys pieces of fruit. The pieces of fruit are apples and oranges. The price of 1 apple is x cents. The price of 1 orange is (x + 10) cents. Priya spends 420 cents on apples.…
Answer this question and get it marked →The diagram shows a triangle. One interior angle is 40°, another interior angle is 75°. The side of length y cm is opposite the unmarked angle and lies between the 40° vertex and…
Answer this question and get it marked →Use set notation to describe the shaded region. [A Venn diagram with universal set U contains three overlapping sets A, B and C. A and B are the two upper circles (overlapping…
Answer this question and get it marked →f(x) = 3 - 2x g(x) = 1 - 5x Find f(-2).
Answer this question and get it marked →Bruce buys a new car on 1 January 2022. On 1 January 2023 the value of the car has decreased by 20%. On 1 January 2024 the value of the car has decreased by 15% of its value on 1…
Answer this question and get it marked →The diagram shows two solids (each a frustum-shaped bowl) that are mathematically similar; the large one is on the left and the small one on the right. The volume of the large…
Answer this question and get it marked →Simplify. (3x - 5) / (3xy - 3x - 5y + 5)
Answer this question and get it marked →A is the point (-2, 8) and B is the point (1, 9). The perpendicular bisector of the line AB meets the x-axis at the point P. Find the coordinates of the point P.
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