Melaka Trial 2025 Add Maths Paper 1, Question 4Progressions

Solved on video in English · Form 4, Progressions · 5:04 video

The question

A rope is cut into a few parts, of which 10p cm, (4p + 20) cm and (3p − 10) cm are three consecutive parts of a geometric progression. Find the longest part if 10p is the third longest term.

Melaka Trial 2025 Add Maths Paper 1, Question 4: the question as drawn in Eduly's video5:04

Step 1

For three consecutive terms of a GP, the common ratio is equal: (4p + 20)/(10p) = (3p − 10)/(4p + 20).

5 more steps, each with the reason for it, in the full solution

Final answer

800 cm

Where students lose marks

Watch out: 10p is the third term, not the first, so the longest part is a = 800 cm, not 200 cm.

Watch every step of this question solved on video (5:04), with the reason behind each step and a box that checks your own answer.

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