IGCSE Mathematics - International (0607) — May–June 2025, Paper 62

9 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.

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Question 1 · 3 marks · Sequences and patterns

Write down the core integer and the shell integers for the sequence 5 7 9 11 13 15 17 19 21.

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Question 2 · 4 marks · Sequences and patterns

Write down a linear sequence with 5 terms. .......... , .......... , .......... , .......... , ..........

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Question 3 · 4 marks · Sequences and patterns

The general linear sequence has 1st term a and common difference d. So the first 3 terms of this sequence are a, a+d, a+2d. Write the 7th term of the general linear sequence in…

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Question 4 · 9 marks · Sequences and patterns

Complete the table. Linear sequence with common difference d - 1st term Middle term Last term Number of terms n F --- --- --- --- --- a a+d a+2d ( )^2 a a+2d 5 ( )^2 a 7 ( )^2 a…

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Question 5 · 5 marks · Sequences and patterns

A linear sequence has n terms. The common difference is d. F = 100d^2 Find the number of terms in the sequence.

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Question 6 · 3 marks · Mensuration - circles

Stage 1. The athlete rotates the hammer holding it by the handle. The hammer travels along a circle of radius 1.8 m. The circumference, C, of a circle of radius r is C = 2pir.…

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Question 7 · 8 marks · Trigonometry - resolving components

Stage 2. The athlete releases the hammer at a speed of 20 m/s with release angle 30 degrees, from a point 2 m above the ground. The vertical speed S m/s is modelled by S = V sin A…

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Question 8 · 5 marks · Quadratic equations

The best release angle A is approximately 45 degrees. This angle gives the greatest horizontal distance that the hammer travels after release. An Olympic athlete uses the best…

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Question 9 · 9 marks · Trigonometry - resolving components

An athlete uses the best release angle. The hammer has a constant horizontal speed which is equal to the hammer's vertical speed at the moment of release. An athlete uses the best…

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