E-Math 2021 Paper 2 Worked Solutions

Linear inequality

10 marks: (a) 2, (b) 1 + 2, (c) 5 · number & algebra (inequality, formula, fractional equation)

Standard form to 3 s.f.

10 marks: 1 + 2 + 2 + 2 + 3 · number & algebra (standard form, percentage, currency)

Forming an area expression

11 marks: (a) 2, (b) 3, (c) 1, (d) 3, (e) 1, (f) 1 · number & algebra (area, graph of a function)

Volume of cone & hemisphere

9 marks: 3 + 6 · geometry & measurement (composite solid)

Equation of a line from point & gradient

11 marks: (a) 2, (b) 3, (c) 2 + 4 · number & algebra (coordinate geometry)

Angle in a semicircle

9 marks: 3 + 3 + 3 · geometry & measurement (circle properties, sector)

Nth term of a fractional sequence

8 marks: 1 + 3 + 3 + 1 · number & algebra (sequences, algebraic fractions)

Translation vector

12 marks: (a)(i)(a) 1 + (b) 2, (ii) 3, (b)(i) 2 + (ii) 4 · number & algebra (vectors)

Cumulative-frequency curve (median

10 marks: (a)(i)(a) 1 + (b) 2, (ii) 2, (iii) 1, (b) 4 · statistics & probability

Gradient to angle (tan)

10 marks: 1 + 3 + 6 · geometry & measurement (trigonometry, modelling)