E-Math 2024 Paper 2 Worked Solutions

Laws of indices

10 marks: 3 + 3 + 2 + 2 ... · number & algebra (manipulation)

Matrices (order

9 marks: (a) 1 + 2 + 2, (b) 2, (c) 2 · number & algebra (matrices, percentage, ratio)

Coordinate geometry (gradient

9 marks: 3 + 3 + 3 · number & algebra (coordinate geometry)

Cubic/power-function graph

11 marks: (a) 1 + 3 + 1 + 3, (b) 3 · number & algebra (graphs of functions)

Bearings

9 marks: 3 + 3 + 3 · geometry & measurement (bearings, trigonometry)

Forming & solving quadratic equations

11 marks: 5 + 3 + 1 + 2 · number & algebra (quadratic from speed-distance-time)

Grouped-data median & mean

9 marks: (a) 1 + 1 + 1 + 1, (b) 1 + 1 + 3 · statistics & probability

Congruence (RHS) with circle reasons

10 marks: (a) 3 + 2, (b) 5 · geometry & measurement (circle, arc, segments)

Volume of a cylinder

11 marks: 2 + 2 + 7 · number & algebra / mensuration (modelling, similar solids)