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This is the formula that we use.

This resource provides solutions and calculations for Paper 1 and Paper 2 of the 2010 mathematics exams. It includes formulas, grids, and step-by-step solutions for various mathematical problems.

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This is the formula that we use.

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  1. This is the formula that we use.

  2. Paper 1 2010 Paper 1 2010 Solution Main Grid

  3. Solution Next page Main Grid

  4. (a) • Median is size 7 (between 10th and 11th) • Lower Q is size 6 (between 5th and 6th) • Upper Q is size 8 (between 15th and 16th) (c) Main Grid

  5. 3.14 x 36 1884 9420 113.04 cm³ Solution Main Grid

  6. Solution Main Grid

  7. Solution Main Grid

  8. Main Grid Solution

  9. Solution Main Grid

  10. a = 1, b = 3 and c = 5 • b² - 4ac = 9-(4x1x5) = 9 – 20 = -11 • Cannot find the square root of a number • less than zero. (For Real Numbers anyway) Solution Main Grid

  11. a = 45° (phase shift of 45°) Solution Main Grid

  12. Solution Main Grid

  13. Paper 2 2010 Solution Main Grid

  14. 72 pupils for 360° 1 pupil equivalent to 5° 30 pupils = 30 x 5 = 150° for Pasta 40 pupils = 40 x 5 = 200° for Baked potato 2 pupils = 2 x 5 = 10° for Salad Solution Main Grid

  15. p = 2 + 1.5 x 6 = 2 + 9 = £11 Solution Main Grid

  16. Solution Next page Main Grid

  17. The mean points scored is very much higher. • The standard deviation is a bit lower so the points scored a bit less varied.

  18. eq 1 x7 eq 2 x2 14x – 35y = 168 14x + 16y = 66 Subtract -35y -16y = 168 – 66 -51y = 102 y = -2 Sub into eq 1 14x – (35 x -2) = 168 14x + 70 = 168 14x = 168 – 70 14x = 98 x = 7 Check eq 2: (14 x 7) + (16 x -2) = 98 + (-32) = 66 √ Solution Main Grid

  19. Solution Main Grid

  20. Solution Main Grid

  21. Solution Main Grid

  22. 65° Total area = area of two sectors + area of two rectangles Solution Main Grid

  23. Solution Main Grid

  24. Solution Main Grid

  25. Solution Main Grid

  26. Pythagoras a² = c² - b² = 1.95² - 1.25² a =√2.24 = 1.4966 Height of tunnel = radius + ‘a’ = 1.95 +1.4966 = 3.45m radius a 1.25m Solution Main Grid

  27. Solution Main Grid

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