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Capstone Jun 11 - 17 25 questions
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Monday 11 June 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: 4x² + 16x - 8

    Answer: 4(x + 2)² - 24
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 25cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 285.48cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 4:20:25
  5. 5. Statistics

    Find the mean, median and range of: 76, 32, 44, 74, 45, 34, 48, 26. Give your answer to 2 decimal places

    Answer: Mean = 47.38, Median = 44.5, Range = 50

Tuesday 12 June 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√75

    Answer: 15√3
  2. 2. Algebra

    Complete the square: x² + 7x + 10

    Answer: (x + 7⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 12cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 94.46cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 56:63:27
  5. 5. Statistics

    Find the mean, median and range of: 85, 45, 100, 57, 52, 89, 66. Give your answer to 2 decimal places

    Answer: Mean = 70.57, Median = 66, Range = 55

Wednesday 13 June 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √864

    Answer: 12√6
  2. 2. Algebra

    Complete the square: 2x² + 8x - 14

    Answer: 2(x + 2)² - 22
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 18cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 221.58cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 3:7. Find a:b:c in its simplest form.

    Answer: 6:21:49
  5. 5. Statistics

    Find the mean, median and range of: 83, 87, 90, 27, 25, 41, 48. Give your answer to 2 decimal places

    Answer: Mean = 57.29, Median = 48, Range = 65

Thursday 14 June 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √833

    Answer: 7√17
  2. 2. Algebra

    Complete the square: x² + 11x - 11

    Answer: (x + 11⁄2)² - 165⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 27cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 222.14cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 27:45:20
  5. 5. Statistics

    Find the mean, median and range of: 42, 72, 10, 21, 67, 32, 78

    Answer: Mean = 46, Median = 42, Range = 68

Friday 15 June 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√48

    Answer: 20√3
  2. 2. Algebra

    Complete the square: 4x² + 32x - 12

    Answer: 4(x + 4)² - 76
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 24cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 196.82cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 18:63:28
  5. 5. Statistics

    Find the mean, median and range of: 12, 63, 36, 57, 64, 19, 96, 16, 16. Give your answer to 2 decimal places

    Answer: Mean = 42.11, Median = 36, Range = 84