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Capstone Mar 22 - 28 25 questions
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Monday 22 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 27cm, b = 30cm, angle = 78°

    Answer: 396.cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:5. Find a:b:c.

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 16, 90, 91, 31, 89, 25, 43

    Answer: Mean = 55, Median = 43, Range = 75

Tuesday 23 March 2021

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 = 14cm, b = 28cm, angle = 62°

    Answer: 173.cm²
  4. 4. Ratio

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

    Answer: 3:2:6
  5. 5. Statistics

    Find the mean, median and range of: 25, 65, 22, 82, 84, 63, 90

    Answer: Mean = 61.6, Median = 65, Range = 68

Wednesday 24 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 20cm, b = 27cm, angle = 78°

    Answer: 264.cm²
  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: 93, 84, 18, 68, 68, 81, 79, 32

    Answer: Mean = 65.4, Median = 79, Range = 75

Thursday 25 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√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 = 20cm, b = 28cm, angle = 64°

    Answer: 251.7cm²
  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: 10, 57, 14, 76, 34, 40, 83, 100

    Answer: Mean = 51.8, Median = 57, Range = 90

Friday 26 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 14cm, b = 15cm, angle = 73°

    Answer: 100.4cm²
  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: 93, 64, 17, 40, 59, 77, 83, 61

    Answer: Mean = 61.8, Median = 64, Range = 76