plumiPythagoras in 2D and 3D: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 6.4 Pythagoras in 2D and 3D, 2021–2025, with its mark scheme and examiner’s report.
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All 7 questions on Pythagoras in 2D and 3D, as a list
- June 2025, Paper 2, Q14 (5 marks): All lengths shown are in centimetres. 14 (a) Use Pythagoras’ theorem to show that 4w2 – 8w – 21 = 0 14 (b) Work out the size of angle x. x = °
- June 2025, Paper 2, Q18 (5 marks): ABCDEF is a triangular prism. ABCD is a rectangle and angle BCF is 90° AB = 14 cm BC = 8 cm CF = 6 cm M is the midpoint of EF. Work out the size of angle BMD. A
- June 2024, Paper 1, Q9 (3 marks): ABCDEFGH is a cuboid. Work out the length AG. AG = cm
- June 2023, Paper 2, Q12 (3 marks): VABCD is a pyramid. The square horizontal base, ABCD, has side length 15 cm V is directly above the centre, X, of the base. VA = 28 cm Work out the size of the
- June 2022, Paper 2, Q18 (5 marks): ABCDEFGH is a cuboid. AB = 40 cm BC = 9 cm CG = 20 cm P is a point on HG such that HP : PG = 3 : 7 AP = 25 cm Work out the size of angle APC. Answer degrees
- November 2021, Paper 2, Q17 (5 marks): ABCDEFGH is a cube with side length 32 cm M and N are points on DH and CG respectively. Work out the size of the angle that the line BM makes with the plane ABC
- Specimen, Paper 2, Q20 (5 marks): VABCD is a pyramid with a horizontal rectangular base ABCD. V is directly above the centre of the base. VA = VB = VC = VD = 10 cm AB = 8 cm BC = 6 cm M is the m
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