IGCSE Maths (0580) · Coordinate Geometry · 3.4
Every length and midpoint question from 2 Cambridge IGCSE Mathematics (0580) past papers (May/June 2026), syllabus section 3.4. 2 Extended-tier questions. Each question is labelled with its question paper code (for example 0580/21/M/J/26) and every final answer matches the official Cambridge mark scheme. Try each question first, then click “Show solution” to check your working. This page is part of our IGCSE Maths 0580 Coordinate Geometry past paper questions.
0580 Length and Midpoint past paper questions: Extended (Papers 2 and 4)
12 marksExtended
May/June 2026 · Paper 2 · 0580/21/M/J/26 · Q8(a)
P is the point (0, 4) and Q is the point (1, 8). Find the coordinates of the midpoint of PQ.
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- The midpoint is halfway: find the average of the x-coordinates and of the y-coordinates.
- x: (0 + 1) ÷ 2 = 0.5. y: (4 + 8) ÷ 2 = 6.
- Midpoint = (0.5, 6)
Answer (0.5, 6)
23 marksExtended
May/June 2026 · Paper 4 · 0580/43/M/J/26 · Q14(a)
A is the point (5, 2) and B is the point (−3, 6). Calculate the length of AB.
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- Find the change in each coordinate from A(5, 2) to B(−3, 6).
- Across: −3 − 5 = −8. Up: 6 − 2 = 4.
- Pythagoras: AB = √(8² + 4²) = √(64 + 16) = √80.
- √80 = 8.944… = 8.94
Answer 8.94
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