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Capstone Sep 30 - Oct 6 25 questions
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Monday 30 September 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 23cm, angle = 76°

    Answer: 301.3cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 1:3. Find a:b:c.

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 33, 33, 29, 53, 66, 23, 88, 85

    Answer: Mean = 51.3, Median = 53, Range = 65

Tuesday 1 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 22cm, b = 27cm, angle = 58°

    Answer: 251.9cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 1:2. Find a:b:c.

    Answer: 8:6:12
  5. 5. Statistics

    Find the mean, median and range of: 67, 93, 86, 59, 87, 17, 75

    Answer: Mean = 69.1, Median = 75, Range = 76

Wednesday 2 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 22cm, angle = 64°

    Answer: 148.3cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 3:4. Find a:b:c.

    Answer: 9:12:16
  5. 5. Statistics

    Find the mean, median and range of: 99, 65, 67, 61, 18, 37, 62, 84

    Answer: Mean = 61.6, Median = 65, Range = 81

Thursday 3 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 19cm, angle = 72°

    Answer: 180.7cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 3:5. Find a:b:c.

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 13, 47, 37, 14, 88, 34, 31, 31

    Answer: Mean = 36.9, Median = 34, Range = 75

Friday 4 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 22cm, angle = 40°

    Answer: 120.2cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 4:5. Find a:b:c.

    Answer: 8:4:5
  5. 5. Statistics

    Find the mean, median and range of: 41, 63, 66, 80, 44, 80, 40, 28

    Answer: Mean = 55.3, Median = 63, Range = 52