E-Math 2020 Paper 2 Worked Solutions

Linear inequality

12 marks: (a) 2, (b) 3, (c) 2, (d) 2, (e) 3 · number & algebra (manipulation)

Matrix multiplication

9 marks: (a) 1, (b) 1, (c) 2, (d) 1, (e) 1, (f) 3 · number & algebra (matrices, percentage)

Tabulating and plotting a reciprocal-plus-linear curve

13 marks: (a) 1, (b) 3, (c) 2, (d)(i) 2, (d)(ii) 2, (d)(iii) 3 · number & algebra (graphs of functions)

Cosine rule

9 marks: (a) 3, (b) 3, (c) 3 · measurement & geometry (trigonometry, bearings)

Curved surface area of a cone

10 marks: (a) 3, (b)(i) 1, (b)(ii) 2, (b)(iii) 4 · measurement & geometry (mensuration, similar solids)

Congruent triangles (SAS)

11 marks: (a)(i) 3, (a)(ii)(a) 1, (a)(ii)(b) 1, (b)(i) 2, (b)(ii) 4 · measurement & geometry (circle geometry, radian measure)

Mean of a frequency table

6 marks: (a) 3, (b) 1, (c) 2 · statistics (mean, standard deviation)

Length of a segment

9 marks: (a) 2, (b) 4, (c)(i) 2, (c)(ii) 1 · measurement & geometry (coordinate geometry, vectors)

Tree diagram without replacement

11 marks: (a) 2, (b) 3, (c) 3, (d) 1, (e) 2 · statistics (probability)

Reading a time-series graph

10 marks: (a)(i) 1, (a)(ii) 3, (b) 6 · number & algebra (everyday maths: money, graph reading)