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Capstone May 11 - 17 25 questions
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Monday 11 May 2020

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 = 16cm, b = 12cm, angle = 40°

    Answer: 61.7cm²
  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: 75, 82, 84, 94, 62, 71, 46

    Answer: Mean = 73.4, Median = 75, Range = 48

Tuesday 12 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 15cm, b = 21cm, angle = 79°

    Answer: 154.6cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 73, 44, 54, 33, 34, 16, 51

    Answer: Mean = 43.6, Median = 44, Range = 57

Wednesday 13 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 22cm, b = 15cm, angle = 45°

    Answer: 116.7cm²
  4. 4. Ratio

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

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 41, 67, 23, 15, 65, 76, 98

    Answer: Mean = 55, Median = 65, Range = 83

Thursday 14 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√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 = 20cm, angle = 53°

    Answer: 151.7cm²
  4. 4. Ratio

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

    Answer: 2:3:6
  5. 5. Statistics

    Find the mean, median and range of: 60, 23, 35, 86, 97, 45, 54

    Answer: Mean = 57.1, Median = 54, Range = 74

Friday 15 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 13cm, b = 30cm, angle = 59°

    Answer: 167.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 73, 77, 41, 48, 59, 60, 28, 87

    Answer: Mean = 59.1, Median = 60, Range = 59