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Capstone Nov 30 - Dec 6 25 questions
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Monday 30 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 12cm, b = 15cm, angle = 43°

    Answer: 61.4cm²
  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: 34, 95, 39, 31, 49, 15, 62

    Answer: Mean = 46.4, Median = 39, Range = 80

Tuesday 1 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 23cm, angle = 42°

    Answer: 92.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 46, 86, 24, 75, 44, 75, 58, 90, 43

    Answer: Mean = 60.1, Median = 58, Range = 66

Wednesday 2 December 2020

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 = 28cm, b = 23cm, angle = 57°

    Answer: 270.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: 33, 55, 86, 12, 63, 39, 28, 64

    Answer: Mean = 47.5, Median = 55, Range = 74

Thursday 3 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 22cm, b = 23cm, angle = 79°

    Answer: 248.4cm²
  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: 41, 80, 92, 73, 60, 78, 94, 27, 31

    Answer: Mean = 64, Median = 73, Range = 67

Friday 4 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 18cm, angle = 51°

    Answer: 132.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 68, 46, 57, 58, 75, 34, 33, 46, 61

    Answer: Mean = 53.1, Median = 57, Range = 42