9709/32 · Oct/Nov 2025
Pure Mathematics 3 · 75 marks · 11 questions
- Question 13 marks
Sketch a modulus graph and solve an inequality.
- Question 24 marks
Solve an exponential equation to 3 significant figures.
- Question 35 marks
Argand diagram: where a line meets a circle, and the greatest argument in a region.
- Question 46 marks
Exact value of a definite integral.
- Question 57 marks
Factor theorem with a repeated factor, finding unknown coefficients.
- Question 67 marks
Locate a root graphically and by a sign change, then use an iterative formula.
- Question 78 marks
Implicit differentiation, then where the normal is parallel to the y-axis.
- Question 88 marks
Prove a trigonometric identity, then use it for an exact integral.
- Question 99 marks
Partial fractions, then an exact integral in logarithmic form.
- Question 109 marks
Form and solve a differential equation for a tank filling and draining.
- Question 119 marks
Vectors: a midpoint, the angle between two vectors and the area of a triangle.