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Algebraic manipulation past paper questions

O Level Mathematics 4024 · Algebra and graphs. 1 Simplify expressions by collecting like terms. 2 Expand products of algebraic expressions. 3 Factorise by extracting common factors. 4 Factorise expressions of the form: ax + bx + kay + kby a2x2 − b2y2 a2 + 2ab + b2 ax2 + bx + c ax3 + bx2 + cx . 5 Complete the square for expressions in the form ax2 + bx + c . Simplify means give the answer in its simplest form, e.g. 2a2 + 3ab – 1 + 5a2 – 9ab + 4 = 7a2 – 6ab + 3. e.g. expand 3x(2x – 4y), (3x + y)(x – 4y). Includes products of more than two brackets, e.g. expand (x – 2)(x + 3)(2x + 1). Factorise means factorise fully, e.g. 9x2 + 15xy = 3x(3x + 5y).

In Cambridge O Level Mathematics 4024, Algebraic manipulation came up in 35 of the 46 papers on Paperstreak, for about 4 marks a paper when it does. It last came up in October/November 2025.

Often set with Equations, Algebraic fractions, Introduction to algebra, Indices II.

48 questions, newest first

  1. 4024/11/O/N/25 Question 25 · 3 marks
  2. 4024/21/O/N/25 Question 22 part (b(i)) · 3 marks
  3. 4024/21/O/N/25 Question 24 · 3 marks
  4. 4024/22/O/N/25 Question 7 · 2 marks
  5. 4024/22/O/N/25 Question 8 · 2 marks
  6. 4024/12/M/J/25 Question 22 part (a) · 2 marks
  7. 4024/22/M/J/25 Question 12 · 2 marks
  8. 4024/22/M/J/25 Question 20 part (a(i)) · 1 mark
  9. 4024/11/O/N/24 Question 5 · 3 marks
  10. 4024/12/O/N/24 Question 11 · 2 marks
  11. 4024/12/O/N/24 Question 20 part (b) · 2 marks
  12. 4024/21/O/N/24 Question 5 part (c) · 2 marks
  13. 4024/11/M/J/24 Question 6 part (a) · 2 marks
  14. 4024/12/M/J/24 Question 9 part (a) · 2 marks
  15. 4024/22/M/J/24 Question 7 parts (c) (d) · 5 marks
  16. 4024/11/O/N/23 Question 21 parts (a) (b) · 2 marks
  17. 4024/12/O/N/23 Question 20 · 4 marks
  18. 4024/21/O/N/23 Question 7 parts (a) (b) · 4 marks
  19. 4024/11/M/J/23 Question 14 · 4 marks
  20. 4024/11/M/J/23 Question 22 · 4 marks
  21. 4024/12/M/J/23 Question 20 part (a) · 2 marks
  22. 4024/21/M/J/23 Question 6 part (a) · 2 marks
  23. 4024/22/M/J/23 Question 2 part (b) · 2 marks
  24. 4024/11/O/N/22 Question 8 · 2 marks
  25. 4024/11/O/N/22 Question 12 · 4 marks
  26. 4024/11/O/N/22 Question 22 part (a) · 2 marks
  27. 4024/12/O/N/22 Question 22 · 3 marks
  28. 4024/22/O/N/22 Question 8 part (a) · 2 marks
  29. 4024/11/M/J/22 Question 13 parts (a(i)) (a(ii)) · 4 marks
  30. 4024/11/M/J/22 Question 22 · 4 marks
  31. 4024/12/M/J/22 Question 21 part (a) · 2 marks
  32. 4024/22/M/J/22 Question 2 parts (b) (d) · 4 marks
  33. 4024/11/O/N/21 Question 5 · 1 mark
  34. 4024/11/O/N/21 Question 17 · 3 marks
  35. 4024/11/O/N/21 Question 23 part (a) · 2 marks
  36. 4024/12/O/N/21 Question 17 · 2 marks
  37. 4024/22/O/N/21 Question 5 part (b) · 1 mark
  38. 4024/11/M/J/21 Question 8 · 3 marks
  39. 4024/11/M/J/21 Question 21 · 4 marks
  40. 4024/12/M/J/21 Question 21 part (a) · 2 marks
  41. 4024/21/M/J/21 Question 3 part (b) · 2 marks
  42. 4024/22/M/J/21 Question 3 parts (a) (d) · 4 marks
  43. 4024/11/O/N/20 Question 2 · 3 marks
  44. 4024/11/O/N/20 Question 3 part (b) · 2 marks
  45. 4024/12/O/N/20 Question 3 · 3 marks
  46. 4024/12/O/N/20 Question 9 part (a) · 2 marks
  47. 4024/11/M/J/20 Question 7 · 3 marks
  48. 4024/12/M/J/20 Question 7 · 2 marks

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

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