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Hij GCSE Mathematics Module 5 Higher tier

Hij GCSE Mathematics Module 5 Higher tier. Common errors: what we see and what we should see. Number – Multiple (or factor!). Write down a multiple of 12. 2 or 3 or 6. 24 or 48. Number – Scale drawing. (a) Measure the line AB

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Hij GCSE Mathematics Module 5 Higher tier

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  1. Hij GCSE Mathematics Module 5 Higher tier Common errors: what we see and what we should see

  2. Number – Multiple (or factor!) Write down a multiple of 12 2 or 3 or 6 24 or 48 ...

  3. Number – Scale drawing (a) Measure the line AB (b) Use the scale 1 cm : 4 km to work out the actual length of AB (a) 5.2 cm (b) 5.2 × 4 = 20.2 (a) 5.2 cm (b) 5.2 × 4 = 20.8 m

  4. Number – Calculator display Calculator display = 2.345 Answer = 2.345 Calculator display = 1.9–3 Answer = 1.9–3 Answer = 2.34 × 105 = 234000 Answer = 1.9 × 10–3 = 0.0019

  5. Algebra – Index laws

  6. Always do one step at a time Algebra – Solving linear equations Solve:8(x–1) = 2x – 58x – 8 = 2x – 58x – 2x = –5 + 86x = 3x = 0.5 + 8 + 2x 2

  7. Algebra – Solving equations Solve the equation 3(x – 1) – 5(3x +1) = 8 Or 5(x – 1) – 3(3x +1) = 1 5x + 5 – 9x + 3 = 1 5(x – 1) – 3(3x +1) = 15 5x – 5 – 9x – 3 = 15 – 4x = 23 x = – 5.75

  8. Algebra – Quadratic formula Solve the equation 2x² –3x –4 = 0 = = = = 2.35, –0.85

  9. Shape, Space & Measures - π Work out the area of a circle of radius 4 cm. Give your answer in terms of π. A = πr² = π × 16 = 50.24 cm² A = πr² =π × 16 = 16π cm²

  10. Shape, Space & Measures - Transformations Describe fully the single transformation that takes shape A to shape B. Rotation and then move Reflect and then translate Rotation 90° clockwise about (3,2) Reflection in the line y = x

  11. Shape, Space & Measures – Cosine Rule Calculate the length of BC given b = 5 cm, c = 8 cm, A = 60º a² = b² + c² – 2bc cos A = 25 + 64– 2 × 5 × 8 cos 60 = 9 cos 60 = 4.5 a = 2.25 a² = b² + c² – 2bc cos A = 25 + 64– (2 × 5 × 8 cos 60) = 25 + 64 – 40 = 49 a = 7 cm

  12. Performance data June 2007Module 5F 1 mark 0.6% (Intermediate 26.1%) 0 marks 99.4% 2 marks 0.2% (Intermediate 19.4%) 1 mark 0.5% (Intermediate 10.4%) 0 marks 99.3% (Intermediate 70.2%)

  13. Performance data June 2007Module 5I 2 marks 68.6% 1 mark 22.4% 0 marks 9% 1 mark 69.6% 0 marks 30.4%

  14. Performance data June 2007Module 5 H 3 marks 63.5% 2 marks 10.8% 1 mark 2.9% 0 marks 22.8% 2 marks 39.5% 1 mark 25.1% 0 marks 35.4% 1 mark 55.8% 0 marks 44.2%

  15. Performance data June 2007Module 5H 1 mark 60.3% 0 marks 39.7% 1 mark 63.5% 0 marks 36.5% 2 marks 32.5 1 mark 60.4% 0 marks 7.1%

  16. Performance data June 2007Module 5H 2 marks 26.2% 1 mark 10.9% 0 marks 62.8%

  17. Performance data June 2007Module 5H 4 marks 11.3% 3 marks 10.9% 2 marks 18% 1 mark 29.2% 0 marks 30.6%

  18. Performance data June 2007Module 5H 6 marks 9.4% 5 marks 1.8% 4 marks 1.5% 3 marks 1.7% 2 marks 2.4% 1 mark 17.6% 0 marks 65.6% 6 marks

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