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Capstone Jun 18 - 24 25 questions
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Monday 18 June 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 12cm, b = 19cm, angle = 52°

    Answer: 89.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 86, 52, 73, 96, 52, 69, 67, 75, 93

    Answer: Mean = 73.7, Median = 73, Range = 44

Tuesday 19 June 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 29cm, angle = 76°

    Answer: 239.2cm²
  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: 86, 22, 77, 65, 71, 27, 31, 88

    Answer: Mean = 58.4, Median = 71, Range = 66

Wednesday 20 June 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 17cm, angle = 50°

    Answer: 104.2cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 87, 27, 70, 36, 57, 26, 98

    Answer: Mean = 57.3, Median = 57, Range = 72

Thursday 21 June 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 29cm, b = 14cm, angle = 48°

    Answer: 150.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 94, 15, 11, 92, 41, 19, 84

    Answer: Mean = 50.9, Median = 41, Range = 83

Friday 22 June 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 23cm, b = 24cm, angle = 62°

    Answer: 243.7cm²
  4. 4. Ratio

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

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 23, 68, 14, 50, 51, 32, 69, 85

    Answer: Mean = 49, Median = 51, Range = 71