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Capstone Aug 12 - 18 25 questions
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Monday 12 August 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 22cm, angle = 68°

    Answer: 224.4cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 93, 16, 10, 85, 91, 35, 99, 57, 61

    Answer: Mean = 60.8, Median = 61, Range = 89

Tuesday 13 August 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 13cm, b = 29cm, angle = 41°

    Answer: 123.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 14, 13, 48, 92, 83, 28, 10, 34, 44

    Answer: Mean = 40.7, Median = 34, Range = 82

Wednesday 14 August 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 21cm, angle = 54°

    Answer: 178.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 71, 81, 76, 15, 73, 24, 76

    Answer: Mean = 59.4, Median = 73, Range = 66

Thursday 15 August 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 21cm, b = 12cm, angle = 49°

    Answer: 95.cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 80, 94, 91, 75, 72, 24, 71

    Answer: Mean = 72.4, Median = 75, Range = 70

Friday 16 August 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 17cm, b = 18cm, angle = 40°

    Answer: 98.3cm²
  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: 12, 27, 52, 39, 43, 97, 54, 93

    Answer: Mean = 52.1, Median = 52, Range = 85