ALevelGeniusMaths

A-level Maths worked examples

Pearson Edexcel A-level Mathematics (9MA0)

Keep the answer exact

Pure Mathematics, Papers 1 and 2 (9MA0/01 and /02)

Specification
P2.2: surds
Marks
4
Suggested time
5 minutes
Calculator
Permitted. Show algebraic working.

Express (4 + √5)/(3 − √5) in the form a + b√5, where a and b are rational numbers. Show all stages of your working.

4 marks

Pearson Edexcel A-level Mathematics (9MA0)

Find both stationary points

Pure Mathematics, Papers 1 and 2 (9MA0/01 and /02)

Specification
P7.3: stationary points and their nature
Marks
6
Suggested time
7 minutes
Calculator
Permitted. Show differentiation and algebra.

The curve has equation y = x³ − 3x² − 9x + 5.

Find the coordinates of the stationary points and determine the nature of each. Show your working.

6 marks