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Capstone Aug 23 - 29 25 questions
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Monday 23 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√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 = 12cm, b = 28cm, angle = 51°

    Answer: 130.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 23, 91, 92, 23, 18, 12, 81

    Answer: Mean = 48.6, Median = 23, Range = 80

Tuesday 24 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 30cm, b = 19cm, angle = 80°

    Answer: 280.7cm²
  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: 94, 54, 11, 58, 32, 12, 46, 68, 66

    Answer: Mean = 49, Median = 54, Range = 83

Wednesday 25 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 17cm, angle = 58°

    Answer: 151.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 54, 46, 28, 17, 76, 99, 55

    Answer: Mean = 53.6, Median = 54, Range = 82

Thursday 26 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 16cm, b = 22cm, angle = 44°

    Answer: 122.3cm²
  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: 62, 93, 87, 76, 91, 56, 39, 39, 98

    Answer: Mean = 71.2, Median = 76, Range = 59

Friday 27 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 19cm, angle = 50°

    Answer: 109.2cm²
  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: 26, 43, 46, 84, 19, 14, 97, 71

    Answer: Mean = 50, Median = 46, Range = 83