9709/32 · Oct/Nov 2024
Pure Mathematics 3 · 75 marks · 11 questions
- Question 14 marks
Binomial expansion for a rational power, up to x².
- Question 23 marks
Sketch graphs to show there is one root, and check an iteration converges.
- Question 35 marks
Square roots of a complex number.
- Question 43 marks
Solve an exponential or logarithmic equation to 3 decimal places.
- Question 54 marks
Argument of a complex quotient, and the geometric transformation to its conjugate.
- Question 64 marks
Find constants from a straight-line graph of ln y against x.
- Question 76 marks
Turn a tan equation into a quadratic in tan x and solve it.
- Question 88 marks
Parametric differentiation and the normal at a given parameter.
- Question 911 marks
Position vectors in a trapezium, where diagonals meet, and an angle by scalar product.
- Question 1013 marks
Form and solve a differential equation for a balloon’s radius.
- Question 1114 marks
Stationary point, then an integral by substitution and partial fractions.