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Capstone Mar 14 - 20 25 questions
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Monday 14 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√75

    Answer: 10√3
  2. 2. Algebra

    Complete the square: x² - 7x + 6

    Answer: (x - 7⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 18cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 219.23cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 21:18:16
  5. 5. Statistics

    Find the mean, median and range of: 33, 28, 29, 83, 95, 54, 83, 13, 64. Give your answer to 2 decimal places

    Answer: Mean = 53.56, Median = 54, Range = 82

Tuesday 15 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: 5x² - 20x + 7

    Answer: 5(x - 2)² - 13
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 18cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 105.23cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 40:45:27
  5. 5. Statistics

    Find the mean, median and range of: 44, 12, 37, 31, 65, 55, 67, 97, 14. Give your answer to 2 decimal places

    Answer: Mean = 46.89, Median = 44, Range = 85

Wednesday 16 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √405

    Answer: 9√5
  2. 2. Algebra

    Complete the square: 3x² + 24x - 8

    Answer: 3(x + 4)² - 56
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 29cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 338.85cm²
  4. 4. Ratio

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

    Answer: 81:18:16
  5. 5. Statistics

    Find the mean, median and range of: 96, 38, 77, 72, 35, 76, 36, 79. Give your answer to 2 decimal places

    Answer: Mean = 63.63, Median = 74, Range = 61

Thursday 17 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√75

    Answer: 25√3
  2. 2. Algebra

    Complete the square: x² - 11x - 3

    Answer: (x - 11⁄2)² - 133⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 21cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 100.25cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 24:21:14
  5. 5. Statistics

    Find the mean, median and range of: 65, 25, 54, 72, 83, 81, 30. Give your answer to 2 decimal places

    Answer: Mean = 58.57, Median = 65, Range = 58

Friday 18 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: 3x² + 12x - 8

    Answer: 3(x + 2)² - 20
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 30cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 310.cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 12:20:45
  5. 5. Statistics

    Find the mean, median and range of: 40, 60, 100, 79, 97, 11, 31, 86

    Answer: Mean = 63, Median = 69.5, Range = 89