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Graphs of functions past paper questions

O Level Mathematics 4024 · Algebra and graphs. 1 Construct tables of values, and draw, recognise and interpret graphs for functions of the following forms: axn (includes sums of no more than three of these) abx + c where n = –2, –1, 2 1 −, 0, 2 1 , 1, 2, 3; a and c are rational numbers; and b is a positive integer. 2 Solve associated equations graphically, including finding and interpreting roots by graphical methods. 3 Draw and interpret graphs representing exponential growth and decay problems. 4 Estimate gradients of curves by drawing tangents. Examples include: y = x3 + x – 4 y = 2x + 3 x2 y = 4 1 × 2x . e.g. finding the intersection of a line and a curve.

In Cambridge O Level Mathematics 4024, Graphs of functions came up in 22 of the 46 papers on Paperstreak, for about 8 marks a paper when it does. It last came up in October/November 2025.

Often set with Sketching curves, Drawing linear graphs, Equations, Surface area and volume.

22 questions, newest first

1. 4024/11/O/N/25 Question 22 · 10 marks
2. 4024/12/O/N/25 Question 15 · 10 marks
3. 4024/22/M/J/25 Question 19 · 8 marks
4. 4024/21/O/N/24 Question 3 parts (a) (b) (e) · 6 marks
5. 4024/22/O/N/24 Question 6 · 10 marks
6. 4024/12/M/J/24 Question 22 · 5 marks
7. 4024/21/M/J/24 Question 8 parts (a(i)) (a(ii)) (a(iii)) · 8 marks
8. 4024/21/O/N/23 Question 6 parts (c) (d) (e) · 6 marks
9. 4024/22/O/N/23 Question 6 parts (a(i)) (a(ii)) (a(iii)) (a(iv)) · 7 marks
10. 4024/21/M/J/23 Question 1 parts (b) (c) (d(ii)) · 7 marks
11. 4024/22/M/J/23 Question 4 parts (a) (b) (c) (d(i)) (d(iii)) · 8 marks
12. 4024/21/O/N/22 Question 3 · 8 marks
13. 4024/22/O/N/22 Question 3 parts (b) (c) (d) · 6 marks
14. 4024/12/M/J/22 Question 16 · 5 marks
15. 4024/21/M/J/22 Question 5 · 7 marks
16. 4024/21/O/N/21 Question 7 · 11 marks
17. 4024/22/O/N/21 Question 3 parts (a) (b) (c) (d(iii)) · 8 marks
18. 4024/21/M/J/21 Question 7 parts (c(i)) (c(ii)) · 6 marks
19. 4024/21/O/N/20 Question 4 · 7 marks
20. 4024/22/O/N/20 Question 3 parts (a) (b) (c) (d(ii)) · 8 marks
21. 4024/21/M/J/20 Question 6 parts (a(i)) (a(ii)) (a(iii)) · 10 marks
22. 4024/22/M/J/20 Question 7 parts (a(i)) (a(ii)) (a(iii)) (a(iv)) · 11 marks

More in Algebra and graphs: Introduction to algebra, Algebraic manipulation, Algebraic fractions, Indices II, Equations, Inequalities, Sequences, Proportion, Graphs in practical situations, Sketching curves, Functions.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.