9709/32 · Oct/Nov 2022
Pure Mathematics 3 · 75 marks · 10 questions
- Question 14 marks
Solve an exponential equation with different bases.
- Question 26 marks
Factor theorem to find a constant, then a cubic inequality.
- Question 36 marks
Stationary point of a curve made of a trigonometric product.
- Question 48 marks
Write a combination of cos and sin in R-form, then solve a double-angle equation.
- Question 58 marks
Solve a complex quadratic, then modulus, argument and an equilateral triangle.
- Question 68 marks
Angle between vectors by scalar product, then a triangle’s area in 3D.
- Question 78 marks
Show a derivative result, then solve a separable differential equation.
- Question 88 marks
An exact value from a sine curve, then an area by substitution.
- Question 99 marks
Set up an equation for an angle from a segment area and use iteration.
- Question 1010 marks
Partial fractions, then integrate to a single logarithm.