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Capstone May 21 - 27 25 questions
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Monday 21 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 25cm, angle = 59°

    Answer: 139.3cm²
  4. 4. Ratio

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

    Answer: 3:4:8
  5. 5. Statistics

    Find the mean, median and range of: 78, 74, 91, 21, 60, 80, 20, 57, 41

    Answer: Mean = 58, Median = 60, Range = 71

Tuesday 22 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 13cm, b = 17cm, angle = 67°

    Answer: 101.7cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 4:5. Find a:b:c.

    Answer: 6:4:5
  5. 5. Statistics

    Find the mean, median and range of: 48, 76, 67, 59, 20, 72, 92, 44, 37

    Answer: Mean = 57.2, Median = 59, Range = 72

Wednesday 23 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 29cm, angle = 56°

    Answer: 180.3cm²
  4. 4. Ratio

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

    Answer: 8:4:6
  5. 5. Statistics

    Find the mean, median and range of: 33, 24, 96, 13, 90, 30, 28, 40, 49

    Answer: Mean = 44.8, Median = 33, Range = 83

Thursday 24 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 21cm, b = 19cm, angle = 48°

    Answer: 148.3cm²
  4. 4. Ratio

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

    Answer: 2:3:4
  5. 5. Statistics

    Find the mean, median and range of: 22, 11, 77, 22, 11, 33, 93

    Answer: Mean = 38.4, Median = 22, Range = 82

Friday 25 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 15cm, angle = 56°

    Answer: 149.2cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 13, 22, 64, 43, 69, 79, 42, 74, 60

    Answer: Mean = 51.8, Median = 60, Range = 66