9709/32 · Feb/March 2025
Pure Mathematics 3 · 75 marks · 11 questions
- Question 13 marks
Solve a logarithmic equation to 4 decimal places.
- Question 25 marks
Gradient of an implicitly defined curve at a point.
- Question 36 marks
Describe a region of the Argand diagram with inequalities and find its greatest modulus.
- Question 46 marks
Turn a trigonometric equation into a quadratic in tan x and solve it.
- Question 55 marks
Exact square roots of a complex number by forming a quartic.
- Question 67 marks
Solve a differential equation with an initial condition.
- Question 78 marks
Equation for a turning point, check a root lies in an interval, then iterate.
- Question 88 marks
Show two lines are skew and find the obtuse angle between them.
- Question 910 marks
Coefficients from the factor and remainder theorems, then factorise and solve an inequality.
- Question 1011 marks
Partial fractions, then a definite integral with a logarithmic answer.
- Question 116 marks
Exact value of a definite integral of a product of trigonometric functions.