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Capstone Oct 28 - Nov 3 25 questions
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Monday 28 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 25cm, angle = 53°

    Answer: 279.5cm²
  4. 4. Ratio

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

    Answer: 3:4:6
  5. 5. Statistics

    Find the mean, median and range of: 30, 23, 30, 15, 78, 50, 85

    Answer: Mean = 44.4, Median = 30, Range = 70

Tuesday 29 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 13cm, angle = 73°

    Answer: 161.6cm²
  4. 4. Ratio

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

    Answer: 9:12:20
  5. 5. Statistics

    Find the mean, median and range of: 29, 80, 65, 70, 18, 22, 89

    Answer: Mean = 53.3, Median = 65, Range = 71

Wednesday 30 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 + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 15cm, angle = 60°

    Answer: 136.4cm²
  4. 4. Ratio

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

    Answer: 8:6:18
  5. 5. Statistics

    Find the mean, median and range of: 10, 26, 72, 10, 17, 10, 70

    Answer: Mean = 30.7, Median = 17, Range = 62

Thursday 31 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 + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 12cm, angle = 63°

    Answer: 128.3cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 50, 13, 60, 63, 11, 83, 40, 96, 81

    Answer: Mean = 55.2, Median = 60, Range = 85

Friday 1 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 21cm, angle = 56°

    Answer: 165.4cm²
  4. 4. Ratio

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

    Answer: 6:4:3
  5. 5. Statistics

    Find the mean, median and range of: 69, 78, 39, 55, 28, 23, 91

    Answer: Mean = 54.7, Median = 55, Range = 68