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Capstone May 10 - 16 25 questions
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Monday 10 May 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√28

    Answer: 8√7
  2. 2. Algebra

    Complete the square: x² + 9x + 11

    Answer: (x + 9⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 16cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 111.4cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 56:40:5
  5. 5. Statistics

    Find the mean, median and range of: 29, 30, 52, 22, 78, 64, 35. Give your answer to 2 decimal places

    Answer: Mean = 44.29, Median = 35, Range = 56

Tuesday 11 May 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √224

    Answer: 4√14
  2. 2. Algebra

    Complete the square: 4x² + 16x - 14

    Answer: 4(x + 2)² - 30
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 14cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 194.71cm²
  4. 4. Ratio

    a:b is 7:2 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 35:10:2
  5. 5. Statistics

    Find the mean, median and range of: 82, 41, 69, 27, 53, 77, 36, 75, 34. Give your answer to 2 decimal places

    Answer: Mean = 54.89, Median = 53, Range = 55

Wednesday 12 May 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² - x - 11

    Answer: (x - 1⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 13cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 105.71cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 12:14:7
  5. 5. Statistics

    Find the mean, median and range of: 96, 73, 43, 24, 22, 95, 35, 41, 46. Give your answer to 2 decimal places

    Answer: Mean = 52.78, Median = 43, Range = 74

Thursday 13 May 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √80

    Answer: 4√5
  2. 2. Algebra

    Complete the square: x² + 9x + 1

    Answer: (x + 9⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 13cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 137.36cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 3:21:14
  5. 5. Statistics

    Find the mean, median and range of: 58, 98, 76, 11, 71, 89, 16. Give your answer to 2 decimal places

    Answer: Mean = 59.86, Median = 71, Range = 87

Friday 14 May 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: x² - 11x + 4

    Answer: (x - 11⁄2)² - 105⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 30cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 186.52cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 15:6:4
  5. 5. Statistics

    Find the mean, median and range of: 91, 54, 95, 16, 88, 97, 63, 47, 60. Give your answer to 2 decimal places

    Answer: Mean = 67.89, Median = 63, Range = 81