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Capstone Sep 7 - 13 25 questions
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Monday 7 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 22cm, b = 21cm, angle = 77°

    Answer: 225.cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 50, 27, 85, 22, 28, 92, 95

    Answer: Mean = 57, Median = 50, Range = 73

Tuesday 8 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 24cm, angle = 60°

    Answer: 145.5cm²
  4. 4. Ratio

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

    Answer: 8:4:3
  5. 5. Statistics

    Find the mean, median and range of: 73, 53, 25, 34, 54, 26, 83, 78

    Answer: Mean = 53.3, Median = 54, Range = 58

Wednesday 9 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 21cm, b = 25cm, angle = 59°

    Answer: 225cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 28, 52, 88, 74, 93, 20, 53, 93, 23

    Answer: Mean = 58.2, Median = 53, Range = 73

Thursday 10 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 4.2x

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

    Find area of triangle: a = 13cm, b = 21cm, angle = 78°

    Answer: 133.5cm²
  4. 4. Ratio

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

    Answer: 16:12:15
  5. 5. Statistics

    Find the mean, median and range of: 94, 43, 49, 95, 70, 97, 86

    Answer: Mean = 76.3, Median = 86, Range = 54

Friday 11 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 20cm, b = 13cm, angle = 59°

    Answer: 111.4cm²
  4. 4. Ratio

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

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 28, 60, 45, 32, 24, 37, 34, 87, 85

    Answer: Mean = 48, Median = 37, Range = 63