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Capstone Jun 6 - 12 25 questions
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Monday 6 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 25cm, b = 20cm, angle = 61°

    Answer: 218.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 35, 20, 63, 41, 92, 11, 19, 40, 67

    Answer: Mean = 43.1, Median = 40, Range = 81

Tuesday 7 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 20cm, angle = 45°

    Answer: 84.9cm²
  4. 4. Ratio

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

    Answer: 2:4:10
  5. 5. Statistics

    Find the mean, median and range of: 30, 82, 78, 56, 82, 31, 51, 47

    Answer: Mean = 57.1, Median = 56, Range = 52

Wednesday 8 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 19cm, b = 27cm, angle = 65°

    Answer: 232.5cm²
  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: 24, 40, 82, 18, 58, 91, 48

    Answer: Mean = 51.6, Median = 48, Range = 73

Thursday 9 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 16cm, b = 28cm, angle = 75°

    Answer: 216.4cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 29, 16, 67, 82, 69, 54, 25, 21, 12

    Answer: Mean = 41.7, Median = 29, Range = 70

Friday 10 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 29cm, b = 16cm, angle = 46°

    Answer: 166.9cm²
  4. 4. Ratio

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

    Answer: 16:12:9
  5. 5. Statistics

    Find the mean, median and range of: 31, 27, 74, 12, 70, 46, 94, 67

    Answer: Mean = 52.6, Median = 67, Range = 82