9709/12 · May/June 2024
Pure Mathematics 1 · 75 marks · 10 questions
- Question 13 marks
Equate binomial coefficients from two expansions to find a constant.
- Question 25 marks
Describe a sequence of graph transformations in the right order.
- Question 36 marks
Rewrite a trigonometric equation in terms of sine, then solve it.
- Question 47 marks
Composite functions, range, whether an inverse exists, and a composite equation.
- Question 59 marks
Arithmetic and geometric progressions with trigonometric terms, including a sum to infinity.
- Question 69 marks
Turning point and intercept of a curve, then the area between the curve and a line.
- Question 78 marks
Values of a constant for which a line touches a circle, then a perpendicular diameter.
- Question 810 marks
A shape made of sectors: show a length, find an area, and find a radius from the perimeter.
- Question 98 marks
Where a function is decreasing from its derivative, then find the function from a point.
- Question 1010 marks
Rates of change on a curve, then the perpendicular bisector of a chord.