9709/12 · Oct/Nov 2024
Pure Mathematics 1 · 75 marks · 10 questions
- Question 15 marks
Find the constants of a sine curve from its graph and count solutions of related equations.
- Question 25 marks
Sum of an arithmetic progression and a relationship between partial sums.
- Question 35 marks
Gradient of a chord, then the gradient at a point as a limit.
- Question 46 marks
The term independent of x in binomial expansions.
- Question 510 marks
Sketch a transformed graph, find an inverse and solve a composite function equation.
- Question 66 marks
Perimeter and area of a shape made of sectors; find the radius and angle.
- Question 78 marks
Complete the square to find a vertex, then the area between a parabola and a line.
- Question 810 marks
Circle in centre–radius form, the normal at a point and unknown constants.
- Question 910 marks
Where a curve meets a line, and the condition for them not to meet.
- Question 1010 marks
Normal to a curve, find f(x) by integration, and whether f is increasing.