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Capstone Apr 19 - 25 25 questions
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Monday 19 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 25cm, angle = 53°

    Answer: 269.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 74, 86, 36, 99, 91, 46, 15, 87, 29

    Answer: Mean = 62.6, Median = 74, Range = 84

Tuesday 20 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  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 = 13cm, angle = 43°

    Answer: 84.2cm²
  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: 17, 88, 77, 45, 59, 23, 44

    Answer: Mean = 50.4, Median = 45, Range = 71

Wednesday 21 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 27cm, angle = 77°

    Answer: 171cm²
  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: 19, 87, 54, 99, 36, 23, 78

    Answer: Mean = 56.6, Median = 54, Range = 80

Thursday 22 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 23cm, b = 29cm, angle = 60°

    Answer: 288.8cm²
  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: 60, 60, 94, 89, 78, 85, 74, 14

    Answer: Mean = 69.3, Median = 78, Range = 80

Friday 23 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 25cm, b = 27cm, angle = 53°

    Answer: 269.5cm²
  4. 4. Ratio

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

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 41, 65, 36, 52, 60, 58, 95, 100

    Answer: Mean = 63.4, Median = 60, Range = 64