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Capstone Oct 31 - Nov 6 25 questions
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Monday 31 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 14cm, b = 30cm, angle = 75°

    Answer: 202.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 54, 96, 95, 19, 10, 30, 93, 57, 27

    Answer: Mean = 53.4, Median = 54, Range = 86

Tuesday 1 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 30cm, b = 27cm, angle = 47°

    Answer: 296.2cm²
  4. 4. Ratio

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

    Answer: 2:3:4
  5. 5. Statistics

    Find the mean, median and range of: 18, 93, 18, 63, 55, 62, 16

    Answer: Mean = 46.4, Median = 55, Range = 77

Wednesday 2 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 + 4.2x

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

    Find area of triangle: a = 27cm, b = 25cm, angle = 59°

    Answer: 289.3cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:5. Find a:b:c.

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 98, 75, 20, 100, 47, 34, 55, 24

    Answer: Mean = 56.6, Median = 55, Range = 80

Thursday 3 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 + 2.4x

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

    Find area of triangle: a = 26cm, b = 26cm, angle = 67°

    Answer: 311.cm²
  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: 91, 88, 14, 90, 78, 64, 17

    Answer: Mean = 63.1, Median = 78, Range = 77

Friday 4 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 28cm, angle = 59°

    Answer: 168cm²
  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: 47, 25, 80, 87, 66, 14, 39, 44

    Answer: Mean = 50.3, Median = 47, Range = 73