- Question 15 marks
Binomial expansion and a coefficient in a product.
- Question 27 marks
Arithmetic series: first term, difference and smallest n for a sum.
- Question 36 marks
Solve a logarithmic equation using the laws of logarithms.
- Question 48 marks
Remainder and factor theorems, factorise a cubic and count real roots.
- Question 56 marks
Prove an inequality and give a counterexample.
- Question 69 marks
Sketch an exponential curve and use the trapezium rule.
- Question 76 marks
Circle centre and radius, and two circles that do not meet.
- Question 812 marks
Solve a trigonometric equation and a sinusoidal temperature model.
- Question 98 marks
Stationary point, then an equal-area condition.
- Question 108 marks
Geometric models and when two models are equal.