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Capstone Feb 3 - 9 25 questions
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Monday 3 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√12

    Answer: 4√3
  2. 2. Algebra

    Complete the square: x² - x - 12

    Answer: (x - 1⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 15cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 199.42cm²
  4. 4. Ratio

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

    Answer: 32:72:81
  5. 5. Statistics

    Find the mean, median and range of: 58, 37, 80, 57, 67, 26, 82, 91

    Answer: Mean = 62.25, Median = 62.5, Range = 65

Tuesday 4 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 11x - 12

    Answer: (x + 11⁄2)² - 169⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 28cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 178.19cm²
  4. 4. Ratio

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

    Answer: 32:72:45
  5. 5. Statistics

    Find the mean, median and range of: 41, 51, 65, 37, 85, 53, 30. Give your answer to 2 decimal places

    Answer: Mean = 51.71, Median = 51, Range = 55

Wednesday 5 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √847

    Answer: 11√7
  2. 2. Algebra

    Complete the square: x² + 9x + 7

    Answer: (x + 9⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 27cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 350.48cm²
  4. 4. Ratio

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

    Answer: 35:63:81
  5. 5. Statistics

    Find the mean, median and range of: 79, 14, 15, 18, 55, 11, 76, 90, 52. Give your answer to 2 decimal places

    Answer: Mean = 45.56, Median = 52, Range = 79

Thursday 6 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 7x - 2

    Answer: (x + 7⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 17cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 158.58cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 7:35:15
  5. 5. Statistics

    Find the mean, median and range of: 79, 99, 34, 17, 99, 29, 89, 22

    Answer: Mean = 58.5, Median = 56.5, Range = 82

Friday 7 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√28

    Answer: 6√7
  2. 2. Algebra

    Complete the square: 3x² - 24x - 6

    Answer: 3(x - 4)² - 54
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 106.49cm²
  4. 4. Ratio

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

    Answer: 81:45:25
  5. 5. Statistics

    Find the mean, median and range of: 45, 46, 54, 37, 79, 11, 68. Give your answer to 2 decimal places

    Answer: Mean = 48.57, Median = 46, Range = 68