Salam Academy
Past papers97099709/32 Oct/Nov 2023

9709/32 · Oct/Nov 2023

Pure Mathematics 3 · 75 marks · 11 questions

  1. Question 15 marks

    Sketch a modulus graph and solve an inequality.

  2. Question 24 marks

    Gradient of a parametric curve at a point.

  3. Question 35 marks

    Find two coefficients of a cubic from the factor and remainder theorems.

  4. Question 46 marks

    Shade a region on an Argand diagram and find the greatest argument.

  5. Question 56 marks

    Evaluate an exact definite integral.

  6. Question 67 marks

    Locate a root by sketch and sign change, then iterate.

  7. Question 78 marks

    Prove a triple-angle identity and use it to solve an equation.

  8. Question 87 marks

    Equate real and imaginary parts to form and solve an equation.

  9. Question 99 marks

    Maximum point of a trigonometric curve and the exact area under it.

  10. Question 109 marks

    Angle between two lines, then a perpendicular distance from a point to a line.

  11. Question 119 marks

    Solve a separable differential equation with a condition and find a limit.