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Capstone Sep 12 - 18 25 questions
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Monday 12 September 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √336

    Answer: 4√21
  2. 2. Algebra

    Complete the square: x² - 3x + 3

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

    Find area of triangle: a = 18cm, b = 19cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 154.98cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 32:56:7
  5. 5. Statistics

    Find the mean, median and range of: 96, 50, 65, 35, 33, 19, 49. Give your answer to 2 decimal places

    Answer: Mean = 49.57, Median = 49, Range = 77

Tuesday 13 September 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √540

    Answer: 6√15
  2. 2. Algebra

    Complete the square: x² + 7x + 5

    Answer: (x + 7⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 29cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 415.99cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 9:45:35
  5. 5. Statistics

    Find the mean, median and range of: 51, 71, 49, 99, 67, 10, 43, 76, 46. Give your answer to 2 decimal places

    Answer: Mean = 56.89, Median = 51, Range = 89

Wednesday 14 September 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√80

    Answer: 16√5
  2. 2. Algebra

    Complete the square: x² + 7x + 8

    Answer: (x + 7⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 19cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 156cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 5:20:24
  5. 5. Statistics

    Find the mean, median and range of: 21, 51, 63, 26, 28, 50, 17, 68

    Answer: Mean = 40.5, Median = 39, Range = 51

Thursday 15 September 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: x² + 5x - 9

    Answer: (x + 5⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 24cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 100.27cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 9:24:32
  5. 5. Statistics

    Find the mean, median and range of: 46, 20, 78, 67, 39, 18, 98. Give your answer to 2 decimal places

    Answer: Mean = 52.29, Median = 46, Range = 80

Friday 16 September 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√150

    Answer: 10√6
  2. 2. Algebra

    Complete the square: 2x² - 20x - 11

    Answer: 2(x - 5)² - 61
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 28cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 344.68cm²
  4. 4. Ratio

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

    Answer: 35:56:8
  5. 5. Statistics

    Find the mean, median and range of: 56, 43, 69, 60, 84, 13, 71, 20, 73. Give your answer to 2 decimal places

    Answer: Mean = 54.33, Median = 60, Range = 71