E-Math 2023 Paper 2 Worked Solutions

Standard form

10 marks: (a) 1 + 2 + 2, (b) 2, (c) 2 + 1 · number & algebra (standard form, percentage, scale)

Linear equations

12 marks: (a) 2, (b) 1, (c) 1 + 3, (d) 5 · number & algebra (equations, inequality, change of subject)

Surface area of sphere/hemisphere

9 marks: 2 + 3 + 4 · geometry & measurement (mensuration: hemisphere & cylinder)

Completing a table of values

11 marks: (a) 1, (b) 3, (c) 2 + 2 + 3 · number & algebra (graphs of functions)

Tangent-radius

8 marks: 4 + 4 · geometry & measurement (circle properties, tangent, arc length)

Vector combination → simultaneous equations

11 marks: (a) 4, (b) 1 + 2 + 4 · number & algebra (vectors & coordinate geometry)

Box-and-whisker plots (quartiles

9 marks: (a) 1 + 3, (b) 1 + 2 + 2 · statistics & probability

Number-grid patterns

10 marks: (a) 3 + 3, (b) 4 · number & algebra (number patterns, sequences)

Energy = power × time

10 marks: 1 + 2 + 7 · number & algebra / statistics (real-world modelling)