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Capstone Aug 31 - Sep 6 25 questions
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Monday 31 August 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 19cm, b = 27cm, angle = 65°

    Answer: 232.5cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 81, 88, 12, 36, 50, 31, 69

    Answer: Mean = 52.4, Median = 50, Range = 76

Tuesday 1 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 + 3x

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

    Find area of triangle: a = 15cm, b = 20cm, angle = 54°

    Answer: 121.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 28, 89, 71, 41, 42, 98, 41, 45, 30

    Answer: Mean = 53.9, Median = 42, Range = 70

Wednesday 2 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 + 2.2x

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

    Find area of triangle: a = 16cm, b = 28cm, angle = 46°

    Answer: 161.cm²
  4. 4. Ratio

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

    Answer: 8:4:6
  5. 5. Statistics

    Find the mean, median and range of: 92, 39, 100, 39, 14, 35, 42, 24, 61

    Answer: Mean = 49.6, Median = 39, Range = 86

Thursday 3 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 + 2x

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

    Find area of triangle: a = 28cm, b = 12cm, angle = 79°

    Answer: 164.9cm²
  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: 45, 90, 84, 80, 79, 43, 95

    Answer: Mean = 73.7, Median = 80, Range = 52

Friday 4 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 29cm, b = 18cm, angle = 42°

    Answer: 174.6cm²
  4. 4. Ratio

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

    Answer: 9:12:20
  5. 5. Statistics

    Find the mean, median and range of: 61, 52, 71, 23, 96, 40, 98, 19, 73

    Answer: Mean = 59.2, Median = 61, Range = 79