9709/32 · May/June 2023
Pure Mathematics 3 · 75 marks · 11 questions
- Question 14 marks
Solve an inequality involving the modulus.
- Question 23 marks
Solve a logarithmic equation exactly.
- Question 34 marks
Sketch a circular locus and find the least modulus.
- Question 45 marks
Solve a trigonometric equation involving a half angle.
- Question 56 marks
Simplify a complex expression and find its argument.
- Question 67 marks
Locate a root and use fixed-point iteration.
- Question 79 marks
Implicit differentiation and points where the tangent has a given direction.
- Question 88 marks
Solve a separable differential equation and describe the long-term behaviour.
- Question 910 marks
Partial fractions and a definite integral to a given exact result.
- Question 1010 marks
Maximum point of a curve and an area by substitution.
- Question 119 marks
Show two lines do not meet and find the foot of a perpendicular in 3D.