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Capstone Dec 2 - 8 25 questions
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Monday 2 December 2019

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 = 19cm, b = 24cm, angle = 70°

    Answer: 214.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 13, 75, 93, 93, 39, 20, 27, 92, 92

    Answer: Mean = 60.4, Median = 75, Range = 80

Tuesday 3 December 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 18cm, b = 27cm, angle = 58°

    Answer: 206.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: 28, 61, 13, 43, 87, 11, 60, 14

    Answer: Mean = 39.6, Median = 43, Range = 76

Wednesday 4 December 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 30cm, angle = 73°

    Answer: 243.9cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 44, 64, 82, 88, 86, 85, 83, 68, 57

    Answer: Mean = 73, Median = 82, Range = 44

Thursday 5 December 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  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 = 16cm, angle = 55°

    Answer: 85.2cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 86, 29, 60, 13, 60, 48, 80, 47

    Answer: Mean = 52.9, Median = 60, Range = 73

Friday 6 December 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 13cm, angle = 72°

    Answer: 185.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 69, 44, 30, 12, 42, 32, 18

    Answer: Mean = 35.3, Median = 32, Range = 57