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Prelim Revision

Prelim Revision. No 7. 1. Break the brackets: (x + 5)(x 2 – 3x + 4) 2. Calculate the standard deviation. 3 1 9 2 7. 3. Wilbur’s house has risen in value from £184000 to £198000. Calculate the percentage appreciation. 4. a) Calculate L CAB. C. 10cm. 8cm. B. A. 12cm.

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Prelim Revision

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  1. Prelim Revision No 7

  2. 1. Break the brackets: (x + 5)(x2 – 3x + 4) 2. Calculate the standard deviation. 3 1 9 2 7

  3. 3. Wilbur’s house has risen in value from £184000 to £198000. Calculate the percentage appreciation.

  4. 4. a) Calculate LCAB C 10cm 8cm B A 12cm b) Calculate Area

  5. 1. Break the brackets: (x+ 5)(x2 – 3x + 4) = x(x2 – 3x + 4) + 5(x2 – 3x + 4) = x3 – 3x2 + 4x + 5x2 – 15x + 20 = x3 + 2x2 – 11x + 20

  6. 2. Calculate the standard deviation. 2 ∑x2 – n – 1 (∑x)/n s = 3 1 9 2 7 2 22 144 / – 5 s = 4 n = 5 x x2 47.2 = 3 1 9 2 7 9 1 81 4 49 4 √ = 11.8 = 3.4 ∑x ∑x2 22 144

  7. 3. Wilbur’s house has risen in value from £184000 to £198000. Calculate the percentage appreciation. Appreciation = 198000 – 184000 = £14000 Percentage Appreciation: 14000 = 0.076 = 7.6% 184000

  8. 4. a) Calculate LCAB C 10cm 8cm x 55.80 B A 12cm CosA = b2 + c2 – a2 = 82 + 122 – 102 = 108 2bc 2 X 8 X 12 192 = 0.5625 A = 55.80 b) Area = ½ bcSinA = ½ X 8 X 12 X sin55.80 = 39.7cm2

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