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Capstone Jun 24 - 30 25 questions
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Monday 24 June 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √847

    Answer: 11√7
  2. 2. Algebra

    Complete the square: 5x² - 50x - 5

    Answer: 5(x - 5)² - 130
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 21cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 254.61cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 87, 50, 24, 98, 18, 62, 79, 68

    Answer: Mean = 60.75, Median = 65, Range = 80

Tuesday 25 June 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: 4x² + 24x + 7

    Answer: 4(x + 3)² - 29
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 13cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 98.19cm²
  4. 4. Ratio

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

    Answer: 10:15:12
  5. 5. Statistics

    Find the mean, median and range of: 18, 59, 15, 37, 54, 43, 92, 26

    Answer: Mean = 43, Median = 40, Range = 77

Wednesday 26 June 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√90

    Answer: 15√10
  2. 2. Algebra

    Complete the square: x² - 11x + 5

    Answer: (x - 11⁄2)² - 101⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 17cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 154.44cm²
  4. 4. Ratio

    a:b is 7:8 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 49:56:48
  5. 5. Statistics

    Find the mean, median and range of: 97, 49, 51, 96, 86, 26, 40. Give your answer to 2 decimal places

    Answer: Mean = 63.57, Median = 51, Range = 71

Thursday 27 June 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √864

    Answer: 12√6
  2. 2. Algebra

    Complete the square: 4x² + 24x - 9

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

    Find area of triangle: a = 25cm, b = 18cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 188.7cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 56:63:45
  5. 5. Statistics

    Find the mean, median and range of: 64, 54, 90, 83, 63, 22, 49, 31

    Answer: Mean = 57, Median = 58.5, Range = 68

Friday 28 June 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 4x² - 24x + 3

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

    Find area of triangle: a = 27cm, b = 24cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 236.96cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 9:12:10
  5. 5. Statistics

    Find the mean, median and range of: 44, 48, 20, 24, 91, 30, 98, 64. Give your answer to 2 decimal places

    Answer: Mean = 52.38, Median = 46, Range = 78