WMA12/01 · January 2025
Pure Mathematics 2 · 75 marks · 10 questions
- Question 14 marks
Number of terms and sum of an arithmetic series.
- Question 25 marks
Binomial expansion and choosing x for an approximation.
- Question 310 marks
Optimise the dimensions of an open water tank with calculus.
- Question 46 marks
Common ratio and first term of a geometric series from partial and infinite sums.
- Question 59 marks
Factor and remainder theorems on a cubic, then factorise fully.
- Question 68 marks
A line through a midpoint and the centre, then the equation of the circle.
- Question 78 marks
Trapezium rule for a logarithmic function, and log laws to find a constant.
- Question 85 marks
Counterexample about irrational numbers, and a proof about even numbers and multiples of 4.
- Question 912 marks
Turning point, an x-intercept and the area of a region under a curve.
- Question 108 marks
Prove a trigonometric identity and solve an equation in an interval.