IGCSE Mathematics - International (0607) — May–June 2025, Paper 61

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

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Question 1 · 12 marks · Investigation - products of pairs / linear sequences

The sequences in this question have 4 terms. Complete the table. Sequence Increase Product of inside pair Product of outside pair Product difference --- --- --- --- --- 1, 2, 3, 4…

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Question 2 · 13 marks · Investigation - products of pairs / linear sequences

A sequence has 3 terms. The multiplication of the inside pair is the middle number squared. Example for the sequence 1, 2, 3: product of inside pair 2 x 2 = 2^2 = 4; product of…

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Question 3 · 11 marks · Modelling - similar triangles and Pythagoras

The poles are 10 m long. Each pole touches one post on the ground and the other post a metres above the ground. Q is the midpoint of ZY. Complete the statement. Triangle…

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Question 4 · 4 marks · Modelling - similar triangles and Pythagoras

Two poles are each 15 m long. Change the model in Question 3(c)(i) for poles of length 15 m.

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Question 5 · 10 marks · Modelling - similar triangles and Pythagoras

Use similar triangles to complete these statements. In triangles RSG and EFG: x / d = h / [ ] In triangles RSF and KGF: (d - x) / d = [ ] / [ ]

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