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Capstone Mar 21 - 27 25 questions
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Monday 21 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √72

    Answer: 6√2
  2. 2. Algebra

    Complete the square: x² - x + 8

    Answer: (x - 1⁄2)² + 31⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 28cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 320.56cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 35:14:16
  5. 5. Statistics

    Find the mean, median and range of: 24, 34, 70, 13, 100, 30, 32, 32. Give your answer to 2 decimal places

    Answer: Mean = 41.88, Median = 32, Range = 87

Tuesday 22 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √833

    Answer: 7√17
  2. 2. Algebra

    Complete the square: 4x² - 48x - 11

    Answer: 4(x - 6)² - 155
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 25cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 168.22cm²
  4. 4. Ratio

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

    Answer: 4:18:81
  5. 5. Statistics

    Find the mean, median and range of: 47, 10, 99, 80, 25, 80, 97. Give your answer to 2 decimal places

    Answer: Mean = 62.57, Median = 80, Range = 89

Wednesday 23 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: x² + 3x + 3

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

    Find area of triangle: a = 13cm, b = 25cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 131.47cm²
  4. 4. Ratio

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

    Answer: 25:40:56
  5. 5. Statistics

    Find the mean, median and range of: 80, 74, 21, 85, 56, 97, 64, 46. Give your answer to 2 decimal places

    Answer: Mean = 65.38, Median = 69, Range = 76

Thursday 24 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√27

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² - 5x - 7

    Answer: (x - 5⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 13cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 91.78cm²
  4. 4. Ratio

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

    Answer: 9:12:4
  5. 5. Statistics

    Find the mean, median and range of: 35, 70, 35, 91, 37, 93, 84, 52. Give your answer to 2 decimal places

    Answer: Mean = 62.13, Median = 61, Range = 58

Friday 25 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3x - 7

    Answer: (x + 3⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 16cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 159.73cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 25:45:54
  5. 5. Statistics

    Find the mean, median and range of: 33, 76, 81, 71, 68, 25, 51, 77

    Answer: Mean = 60.25, Median = 69.5, Range = 56