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Capstone Jun 6 - 12 25 questions
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Monday 6 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√90

    Answer: 15√10
  2. 2. Algebra

    Complete the square: x² + 11x - 7

    Answer: (x + 11⁄2)² - 149⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 18cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 112.53cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 25:10:18
  5. 5. Statistics

    Find the mean, median and range of: 23, 15, 75, 69, 37, 67, 48, 12, 84. Give your answer to 2 decimal places

    Answer: Mean = 47.78, Median = 48, Range = 72

Tuesday 7 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: 5x² + 50x - 12

    Answer: 5(x + 5)² - 137
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 28cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 249.48cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 2:10:45
  5. 5. Statistics

    Find the mean, median and range of: 90, 52, 41, 47, 95, 62, 35, 86, 10. Give your answer to 2 decimal places

    Answer: Mean = 57.56, Median = 52, Range = 85

Wednesday 8 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√48

    Answer: 20√3
  2. 2. Algebra

    Complete the square: x² - 7x + 4

    Answer: (x - 7⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 27cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 120.39cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 25, 35, 27, 84, 58, 49, 98, 67, 39. Give your answer to 2 decimal places

    Answer: Mean = 53.56, Median = 49, Range = 73

Thursday 9 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: x² - 5x - 6

    Answer: (x - 5⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 16cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 131.06cm²
  4. 4. Ratio

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

    Answer: 7:35:45
  5. 5. Statistics

    Find the mean, median and range of: 21, 29, 41, 73, 11, 82, 82. Give your answer to 2 decimal places

    Answer: Mean = 48.43, Median = 41, Range = 71

Friday 10 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: x² + 5x - 6

    Answer: (x + 5⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 25cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 246.44cm²
  4. 4. Ratio

    a:b is 7:2 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 49:14:12
  5. 5. Statistics

    Find the mean, median and range of: 18, 62, 31, 57, 53, 98, 53. Give your answer to 2 decimal places

    Answer: Mean = 53.14, Median = 53, Range = 80