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Capstone Jun 27 - Jul 3 25 questions
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Monday 27 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 15cm, angle = 43°

    Answer: 71.6cm²
  4. 4. Ratio

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

    Answer: 12:6:8
  5. 5. Statistics

    Find the mean, median and range of: 83, 91, 100, 88, 68, 28, 81, 85

    Answer: Mean = 78, Median = 85, Range = 72

Tuesday 28 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√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 = 19cm, b = 17cm, angle = 40°

    Answer: 103.8cm²
  4. 4. Ratio

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

    Answer: 2:4:8
  5. 5. Statistics

    Find the mean, median and range of: 35, 75, 97, 29, 14, 59, 26, 43

    Answer: Mean = 47.3, Median = 43, Range = 83

Wednesday 29 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 17cm, b = 15cm, angle = 54°

    Answer: 103.cm²
  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: 82, 64, 19, 40, 26, 28, 47

    Answer: Mean = 43.7, Median = 40, Range = 63

Thursday 30 June 2022

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 = 28cm, b = 27cm, angle = 45°

    Answer: 267.3cm²
  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: 78, 12, 57, 52, 42, 97, 30, 45

    Answer: Mean = 51.6, Median = 52, Range = 85

Friday 1 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 20cm, angle = 63°

    Answer: 133.7cm²
  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: 57, 11, 71, 17, 44, 36, 51, 12, 37

    Answer: Mean = 37.3, Median = 37, Range = 60