9709/32 · Oct/Nov 2023
Pure Mathematics 3 · 75 marks · 11 questions
- Question 15 marks
Sketch a modulus graph and solve an inequality.
- Question 24 marks
Gradient of a parametric curve at a point.
- Question 35 marks
Find two coefficients of a cubic from the factor and remainder theorems.
- Question 46 marks
Shade a region on an Argand diagram and find the greatest argument.
- Question 56 marks
Evaluate an exact definite integral.
- Question 67 marks
Locate a root by sketch and sign change, then iterate.
- Question 78 marks
Prove a triple-angle identity and use it to solve an equation.
- Question 87 marks
Equate real and imaginary parts to form and solve an equation.
- Question 99 marks
Maximum point of a trigonometric curve and the exact area under it.
- Question 109 marks
Angle between two lines, then a perpendicular distance from a point to a line.
- Question 119 marks
Solve a separable differential equation with a condition and find a limit.