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Capstone Feb 24 - Mar 2 25 questions
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Monday 24 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √240

    Answer: 4√15
  2. 2. Algebra

    Complete the square: x² + x + 1

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

    Find area of triangle: a = 27cm, b = 26cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 344.55cm²
  4. 4. Ratio

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

    Answer: 12:15:25
  5. 5. Statistics

    Find the mean, median and range of: 46, 12, 66, 10, 65, 78, 77. Give your answer to 2 decimal places

    Answer: Mean = 50.57, Median = 65, Range = 68

Tuesday 25 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √612

    Answer: 6√17
  2. 2. Algebra

    Complete the square: 2x² - 4x + 1

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

    Find area of triangle: a = 13cm, b = 27cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 168.7cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 9:18:16
  5. 5. Statistics

    Find the mean, median and range of: 32, 75, 19, 51, 66, 95, 51, 32, 23. Give your answer to 2 decimal places

    Answer: Mean = 49.33, Median = 51, Range = 76

Wednesday 26 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √352

    Answer: 4√22
  2. 2. Algebra

    Complete the square: x² + 5x - 5

    Answer: (x + 5⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 27cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 331.3cm²
  4. 4. Ratio

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

    Answer: 40:24:15
  5. 5. Statistics

    Find the mean, median and range of: 60, 16, 78, 25, 37, 36, 99. Give your answer to 2 decimal places

    Answer: Mean = 50.14, Median = 37, Range = 83

Thursday 27 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √475

    Answer: 5√19
  2. 2. Algebra

    Complete the square: 2x² - 20x + 11

    Answer: 2(x - 5)² - 39
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 17cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 96.23cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 6:7. Find a:b:c in its simplest form.

    Answer: 14:18:21
  5. 5. Statistics

    Find the mean, median and range of: 79, 76, 60, 46, 46, 54, 53, 68

    Answer: Mean = 60.25, Median = 57, Range = 33

Friday 28 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√54

    Answer: 6√6
  2. 2. Algebra

    Complete the square: 2x² - 8x + 13

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

    Find area of triangle: a = 26cm, b = 14cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 137.36cm²
  4. 4. Ratio

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

    Answer: 56:72:63
  5. 5. Statistics

    Find the mean, median and range of: 38, 73, 32, 76, 65, 83, 80, 89

    Answer: Mean = 67, Median = 74.5, Range = 57