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Capstone Aug 16 - 22 25 questions
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Monday 16 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 19cm, angle = 73°

    Answer: 145.4cm²
  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: 96, 98, 31, 28, 89, 15, 32

    Answer: Mean = 55.6, Median = 32, Range = 83

Tuesday 17 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 13cm, b = 26cm, angle = 52°

    Answer: 133.2cm²
  4. 4. Ratio

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

    Answer: 8:6:18
  5. 5. Statistics

    Find the mean, median and range of: 92, 35, 32, 48, 50, 20, 43, 58, 48

    Answer: Mean = 47.3, Median = 48, Range = 72

Wednesday 18 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 30cm, b = 13cm, angle = 51°

    Answer: 151.5cm²
  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: 80, 58, 63, 96, 59, 65, 56

    Answer: Mean = 68.1, Median = 63, Range = 40

Thursday 19 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 12cm, angle = 48°

    Answer: 58cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 67, 100, 50, 30, 62, 13, 69, 45, 99

    Answer: Mean = 59.4, Median = 62, Range = 87

Friday 20 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 21cm, angle = 70°

    Answer: 207.2cm²
  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: 29, 37, 14, 70, 68, 75, 95, 47, 61

    Answer: Mean = 55.1, Median = 61, Range = 81