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Capstone Feb 20 - 26 25 questions
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Monday 20 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √960

    Answer: 8√15
  2. 2. Algebra

    Complete the square: x² + x + 11

    Answer: (x + 1⁄2)² + 43⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 12cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 150.68cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 72:45:10
  5. 5. Statistics

    Find the mean, median and range of: 28, 60, 48, 69, 39, 81, 36, 87, 13. Give your answer to 2 decimal places

    Answer: Mean = 51.22, Median = 48, Range = 74

Tuesday 21 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: x² - 7x + 1

    Answer: (x - 7⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 27cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 177.72cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 9:63:49
  5. 5. Statistics

    Find the mean, median and range of: 41, 41, 24, 38, 69, 48, 99, 95. Give your answer to 2 decimal places

    Answer: Mean = 56.88, Median = 44.5, Range = 75

Wednesday 22 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √272

    Answer: 4√17
  2. 2. Algebra

    Complete the square: 2x² + 16x - 1

    Answer: 2(x + 4)² - 33
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 16cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 144.53cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 16:40:35
  5. 5. Statistics

    Find the mean, median and range of: 28, 69, 18, 11, 69, 76, 24, 86, 59. Give your answer to 2 decimal places

    Answer: Mean = 48.89, Median = 59, Range = 75

Thursday 23 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √405

    Answer: 9√5
  2. 2. Algebra

    Complete the square: 3x² + 18x + 8

    Answer: 3(x + 3)² - 19
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 16cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 115.33cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 28:21:3
  5. 5. Statistics

    Find the mean, median and range of: 46, 17, 69, 44, 99, 92, 63. Give your answer to 2 decimal places

    Answer: Mean = 61.43, Median = 63, Range = 82

Friday 24 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: x² - 5x - 8

    Answer: (x - 5⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 19cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 224.54cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 20:15:6
  5. 5. Statistics

    Find the mean, median and range of: 58, 84, 49, 30, 54, 54, 34, 42. Give your answer to 2 decimal places

    Answer: Mean = 50.63, Median = 51.5, Range = 54