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Sketching curves past paper questions

O Level Mathematics 4024 · Algebra and graphs. Recognise, sketch and interpret graphs of the following functions: (a) linear (b) quadratic (c) cubic (d) reciprocal (e) exponential. Functions will be equivalent to: ax + by = c y = ax2 + bx + c y = ax3 + b y = ax3 + bx2 + cx y x a b = + y = arx + b where a, b and c are rational numbers and r is a rational, positive number. Knowledge of turning points, roots and symmetry is required. Knowledge of vertical and horizontal asymptotes is required. Finding turning points of quadratics by completing the square is required.

In Cambridge O Level Mathematics 4024, Sketching curves came up in 10 of the 46 papers on Paperstreak, for about 3 marks a paper when it does. It last came up in October/November 2025.

Often set with Graphs of functions, Algebraic manipulation.

10 questions, newest first

1. 4024/21/O/N/25 Question 22 parts (a) (b(ii)) · 4 marks
2. 4024/22/O/N/25 Question 17 · 4 marks
3. 4024/12/M/J/25 Question 22 parts (b) (c) · 5 marks
4. 4024/21/O/N/24 Question 3 part (c) · 1 mark
5. 4024/21/M/J/24 Question 8 part (b) · 3 marks
6. 4024/22/O/N/23 Question 6 part (b) · 3 marks
7. 4024/21/M/J/21 Question 7 part (b) · 2 marks
8. 4024/22/M/J/21 Question 6 part (b) · 3 marks
9. 4024/21/M/J/20 Question 6 part (b) · 2 marks
10. 4024/22/M/J/20 Question 7 part (b) · 3 marks

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

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