GCSE Physics Revision Notes, Study notes of Mathematics

A comprehensive list of core vocabulary definitions and keywords for GCSE math

Typology: Study notes

2025/2026

Uploaded on 05/20/2026

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Q1. (November 2019 3H) (a) Solve “7 7"* Q+x=7(11-x) V+X= 77- 7x ures F % Qx +4 =77-9 -q (Total for question = 4 marks) Q2. (November 2013 1H) 4(8x — 2) (a) Solve 3x = 10 Y(93x-2)= 10x 3x 32x-§ = 30x - 30x - 30x Ix-2 =04+3 +8 8 es 2x = (Total for Question is 6 marks) (b) Solve 1IS-x =S(3x%+1)) 1S-x = 1Sx +55 +x +X 1S= 16x +S5 -SS — 95 2? . ee -40 = 16x 76. 16 -2S5= % ! Q6. (June 2017 1H) x+1 245 Solve 3° 4 Y(x4+1)+ 3(2x+S) _ 3x4 . 2 a = Dye lox +19 = 24419 #19 S 10 (Total for question = 4 marks) Q7. (November 2015 1H) Solve 2 3 2x3 9x43 bX a2 ee 6 is LS 6(7x%+1) 2. 6 al, 6 S 6 y (Total for question = 4 marks) Q9. (June 2017 2H) Solve 83(3x-2)-4(2x+5) | 1=x 2 4x3 6 Gx-6-8x-20 _ !-x 6 _1-x 6 6 (x-26) = 1201- xX) 6x-156 = 12-12% +)2x + 12x Tiss ss 6 ae oe | )Sx- 156= ]2 +156 (Total for question = 4 marks) Q10. (Specimen Paper 1H) Mn en: Solve 3x ° 2 =3 2x(x+2) + 3x(%-2') 23 3x x2 : 2x74 Ux + 3x bx b6x* = § Sx — 2x ———— bx? (Total for question is 3 marks) Q12. (Specimen Paper 2H) Given that 2x-1:x-4=16x+1:2x-1 find the possible values of x 2x-1 l6x+! x-4 2x-l (2%-1) (2x -1) = (16x +1004) W241 = 16x2- 63x-4 = 9x24 4x-1 -Bx2 44x -! y Y 0 = [¥x2-59x-S 2 0 = (12x4+))x-5) Re? Sele = X55 ip ee x=5 (Total for question = 5 marks) Q13. (June 2018 3H) Here are two right-angled triangles tan e=tanf Given that find the value of x. You must show all your working (Total for question = 5 marks) Q15. (Specimen Paper 3H) '@) Work out f(5) Give your answer as a fraction. eee) (2) (b) Write down a value of x for which f(x) is not defined. | eccnoaeeeeeeeeoeetenanom ye (1) where p, q and rare positive integers. (Total for question = 8 marks) Q16. (November 2014 2H) (b) Make m the subject of (Total for question = 7 marks)