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Capstone Nov 7 - 13 25 questions
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Monday 7 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

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

    Find area of triangle: a = 25cm, b = 21cm, angle = 63°

    Answer: 233.9cm²
  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: 91, 35, 21, 26, 71, 28, 52, 21

    Answer: Mean = 43.1, Median = 35, Range = 70

Tuesday 8 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 28cm, angle = 72°

    Answer: 346.2cm²
  4. 4. Ratio

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

    Answer: 6:4:3
  5. 5. Statistics

    Find the mean, median and range of: 64, 58, 89, 97, 10, 19, 87

    Answer: Mean = 60.6, Median = 64, Range = 87

Wednesday 9 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 12cm, angle = 52°

    Answer: 104cm²
  4. 4. Ratio

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

    Answer: 9:6:8
  5. 5. Statistics

    Find the mean, median and range of: 67, 80, 50, 99, 21, 32, 25, 31

    Answer: Mean = 50.6, Median = 50, Range = 78

Thursday 10 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 17cm, b = 23cm, angle = 69°

    Answer: 182.5cm²
  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: 21, 87, 78, 17, 96, 33, 71, 60

    Answer: Mean = 57.9, Median = 71, Range = 79

Friday 11 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 15cm, angle = 55°

    Answer: 129cm²
  4. 4. Ratio

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

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 14, 86, 48, 48, 20, 10, 94

    Answer: Mean = 45.7, Median = 48, Range = 84