- Question 16 marks
Binomial expansion terms, then a coefficient to find an unknown.
- Question 27 marks
Circle from a diameter, then the point nearest the x-axis.
- Question 35 marks
Area between a curve and a line segment.
- Question 49 marks
Factor and remainder theorems, then polynomial division.
- Question 56 marks
Trapezium rule, then use it to estimate related integrals.
- Question 610 marks
Solve a logarithmic equation and find where exponential curves meet exactly.
- Question 79 marks
Geometric series sum and a bound on a term, and the greatest sum of an arithmetic series.
- Question 88 marks
Solve a tan equation in radians and a trigonometric equation in degrees.
- Question 911 marks
Model the surface area of a container and minimise it.
- Question 104 marks
Proof by exhaustion about divisibility.