IGCSE Maths (0580) · Coordinate Geometry · 3.3
Every gradient of linear graphs question from 2 Cambridge IGCSE Mathematics (0580) past papers (May/June 2026), syllabus section 3.3. 2 questions covering Core and Extended tiers, ordered from Core to Extended. 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 Gradient of Linear Graphs past paper questions: Core (Papers 1 and 3)
12 marksCore
May/June 2026 · Paper 3 · 0580/33/M/J/26 · Q21(b)
Line L is shown on a grid. It passes through (2, 6) and (4, 1).
Find the gradient of line L.
Show solution
- Gradient = change in y⁄change in x, using the points (2, 6) and (4, 1).
- Change in y = 1 − 6 = −5. Change in x = 4 − 2 = 2.
- Gradient = −5⁄2 = −2.5
- Check: The line goes downwards from left to right, so the gradient should be negative ✓
Answer −2.5
0580 Gradient of Linear Graphs past paper questions: Extended (Papers 2 and 4)
22 marksExtended
May/June 2026 · Paper 2 · 0580/21/M/J/26 · Q12
The coordinates of A are (3, 20). The coordinates of B are (5, 10). Work out the gradient of AB.
Show solution
- Gradient = change in y⁄change in x = 10 − 20⁄5 − 3.
- = −10⁄2 = −5
Answer −5
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