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Discriminant past paper questions

Mathematics 9709 · Quadratics. b^2-4ac; number of roots; set of values of k for equal/real/no roots

It came up in 10 of 69 papers, for about 3 marks a paper when it does. It last came up in October/November 2025.

Often set with Completing the square, Trig equations.

10 questions, newest first

  1. 9709/11/O/N/25 Question 1 · 4 marks
  2. 9709/12/O/N/25 Question 1 part (b) · 1 mark
  3. 9709/12/M/J/23 Question 3 part (b) · 1 mark
  4. 9709/12/O/N/22 Question 3 part (a) · 2 marks
  5. 9709/12/O/N/21 Question 8 part (b) · 4 marks
  6. 9709/12/M/J/21 Question 1 part (b) · 2 marks
  7. 9709/12/F/M/20 Question 11 part (b) · 2 marks
  8. 9709/12/M/J/18 Question 2 part (i) · 2 marks
  9. 9709/11/M/J/17 Question 9 part (iii) · 4 marks
  10. 9709/12/F/M/17 Question 1 · 4 marks

More in Quadratics: Completing the square, Quadratic equations and inequalities, Simultaneous equations, Equations quadratic in a function of x.

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