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Capstone Jun 7 - 13 25 questions
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Monday 7 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 18cm, angle = 71°

    Answer: 136.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 73, 91, 24, 43, 11, 13, 59

    Answer: Mean = 44.9, Median = 43, Range = 80

Tuesday 8 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 4.2x

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

    Find area of triangle: a = 25cm, b = 27cm, angle = 79°

    Answer: 331.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 25, 60, 95, 95, 73, 60, 24

    Answer: Mean = 61.7, Median = 60, Range = 71

Wednesday 9 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 23cm, b = 30cm, angle = 45°

    Answer: 244cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 13, 89, 97, 93, 28, 88, 14, 13, 14

    Answer: Mean = 49.9, Median = 28, Range = 84

Thursday 10 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 22cm, b = 23cm, angle = 57°

    Answer: 212.2cm²
  4. 4. Ratio

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

    Answer: 12:6:8
  5. 5. Statistics

    Find the mean, median and range of: 20, 46, 41, 17, 28, 26, 26, 75

    Answer: Mean = 34.9, Median = 28, Range = 58

Friday 11 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 5.4x

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

    Find area of triangle: a = 21cm, b = 24cm, angle = 55°

    Answer: 206.4cm²
  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, 34, 46, 38, 72, 36, 40, 58, 63

    Answer: Mean = 51.1, Median = 46, Range = 39