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Capstone Jul 24 - 30 25 questions
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Monday 24 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√99

    Answer: 9√11
  2. 2. Algebra

    Complete the square: 3x² - 24x + 6

    Answer: 3(x - 4)² - 42
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 19cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 130.88cm²
  4. 4. Ratio

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

    Answer: 15:12:8
  5. 5. Statistics

    Find the mean, median and range of: 27, 78, 12, 53, 86, 100, 39, 12. Give your answer to 2 decimal places

    Answer: Mean = 50.88, Median = 46, Range = 88

Tuesday 25 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√176

    Answer: 16√11
  2. 2. Algebra

    Complete the square: x² - 11x + 3

    Answer: (x - 11⁄2)² - 109⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 26cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 119.5cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 63:14:8
  5. 5. Statistics

    Find the mean, median and range of: 41, 50, 100, 13, 93, 85, 71, 35, 45. Give your answer to 2 decimal places

    Answer: Mean = 59.22, Median = 50, Range = 87

Wednesday 26 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² - 11x + 9

    Answer: (x - 11⁄2)² - 85⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 14cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 178.66cm²
  4. 4. Ratio

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

    Answer: 49:35:45
  5. 5. Statistics

    Find the mean, median and range of: 24, 36, 71, 60, 80, 43, 94. Give your answer to 2 decimal places

    Answer: Mean = 58.29, Median = 60, Range = 70

Thursday 27 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √896

    Answer: 8√14
  2. 2. Algebra

    Complete the square: x² - 3x + 9

    Answer: (x - 3⁄2)² + 27⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 28cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 312.01cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 3:8. Find a:b:c in its simplest form.

    Answer: 3:12:32
  5. 5. Statistics

    Find the mean, median and range of: 14, 37, 18, 22, 41, 81, 92, 63

    Answer: Mean = 46, Median = 39, Range = 78

Friday 28 July 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: 4x² + 48x + 1

    Answer: 4(x + 6)² - 143
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 25cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 181.11cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 3:8. Find a:b:c in its simplest form.

    Answer: 15:24:64
  5. 5. Statistics

    Find the mean, median and range of: 21, 48, 89, 97, 89, 17, 45, 64, 71. Give your answer to 2 decimal places

    Answer: Mean = 60.11, Median = 64, Range = 80