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Capstone Oct 24 - 30 25 questions
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Monday 24 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√150

    Answer: 25√6
  2. 2. Algebra

    Complete the square: x² + x - 4

    Answer: (x + 1⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 15cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 91.01cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 8:6:27
  5. 5. Statistics

    Find the mean, median and range of: 64, 48, 53, 14, 24, 64, 97, 97. Give your answer to 2 decimal places

    Answer: Mean = 57.63, Median = 58.5, Range = 83

Tuesday 25 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √72

    Answer: 6√2
  2. 2. Algebra

    Complete the square: 5x² + 20x + 15

    Answer: 5(x + 2)² - 5
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 28cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 285.28cm²
  4. 4. Ratio

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

    Answer: 12:15:20
  5. 5. Statistics

    Find the mean, median and range of: 25, 33, 69, 12, 77, 77, 25, 43. Give your answer to 2 decimal places

    Answer: Mean = 45.13, Median = 38, Range = 65

Wednesday 26 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√50

    Answer: 25√2
  2. 2. Algebra

    Complete the square: x² - 11x + 2

    Answer: (x - 11⁄2)² - 113⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 14cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 156.53cm²
  4. 4. Ratio

    a:b is 5:7 and b:c is 3:5. Find a:b:c in its simplest form.

    Answer: 15:21:35
  5. 5. Statistics

    Find the mean, median and range of: 26, 16, 94, 93, 32, 60, 46, 91

    Answer: Mean = 57.25, Median = 53, Range = 78

Thursday 27 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √224

    Answer: 4√14
  2. 2. Algebra

    Complete the square: x² - x

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

    Find area of triangle: a = 19cm, b = 20cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 176.16cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 32:20:45
  5. 5. Statistics

    Find the mean, median and range of: 46, 59, 69, 48, 93, 15, 60, 86

    Answer: Mean = 59.5, Median = 59.5, Range = 78

Friday 28 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√32

    Answer: 20√2
  2. 2. Algebra

    Complete the square: 3x² + 36x - 2

    Answer: 3(x + 6)² - 110
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 13cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 130.54cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 8:36:27
  5. 5. Statistics

    Find the mean, median and range of: 74, 22, 68, 14, 78, 18, 83

    Answer: Mean = 51, Median = 68, Range = 69