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Capstone Oct 11 - 17 25 questions
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Monday 11 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 20cm, angle = 41°

    Answer: 78.7cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 4:5. Find a:b:c.

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 79, 11, 85, 100, 44, 36, 22, 69, 10

    Answer: Mean = 50.7, Median = 44, Range = 90

Tuesday 12 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 20cm, b = 20cm, angle = 60°

    Answer: 173.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 43, 48, 78, 92, 36, 91, 49, 84, 84

    Answer: Mean = 67.2, Median = 78, Range = 56

Wednesday 13 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.2x

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

    Find area of triangle: a = 21cm, b = 23cm, angle = 75°

    Answer: 233.3cm²
  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: 42, 88, 38, 88, 18, 86, 80

    Answer: Mean = 62.9, Median = 80, Range = 70

Thursday 14 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 24cm, b = 30cm, angle = 67°

    Answer: 331.4cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 2:5. Find a:b:c.

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 55, 52, 69, 59, 96, 66, 82

    Answer: Mean = 68.4, Median = 66, Range = 44

Friday 15 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 27cm, b = 23cm, angle = 55°

    Answer: 254.3cm²
  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: 66, 59, 81, 19, 94, 23, 70, 42

    Answer: Mean = 56.8, Median = 66, Range = 75