GCSE Maths - Indices - Exam-style Questions

By Anonymous (not verified), 22 April, 2026

a) Simplify t4 x t2 (1 mark) b) Solve (i) 3(x - 1) = x + 4 (3 marks) (ii) 8x + 5 > 25 (2 marks) c) Factorise 4x2 - 25 (2 marks) d) (i) Factorise x2 + 7x + 6 (ii) Hence solve the equation x2 + 7x + 6 = 0 (1 mark) (Marks available: 9) Answer Answer outline and marking scheme for question: 1 a) t6 b) (i) x = 3.5 (ii) x > 2.5 (24/8 or better) c) (2x + 5)(2x - 5) d) (i) (x + 1)(x + 6) (ii) -1 and -6 (Marks available: 9) Simplify: (i) 54 x 53 (ii) (32)4 (Marks available: 2) Answer Answer outline and marking scheme for question: 2 (i) 54 x 53 = 54 + 3 = 57 (ii) (32)4 = 32 x 4 = 38 = 6561 (Marks available: 2)