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Capstone Jun 28 - Jul 4 25 questions
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Monday 28 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 23cm, angle = 51°

    Answer: 151.9cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 46, 89, 45, 14, 91, 47, 28, 37

    Answer: Mean = 49.6, Median = 46, Range = 77

Tuesday 29 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 26cm, b = 22cm, angle = 74°

    Answer: 274.9cm²
  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: 69, 57, 14, 83, 29, 26, 95, 54, 97

    Answer: Mean = 58.2, Median = 57, Range = 83

Wednesday 30 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 12cm, b = 28cm, angle = 52°

    Answer: 132.4cm²
  4. 4. Ratio

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

    Answer: 16:12:15
  5. 5. Statistics

    Find the mean, median and range of: 58, 23, 96, 95, 14, 60, 81, 61, 69

    Answer: Mean = 61.9, Median = 61, Range = 82

Thursday 1 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  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 = 12cm, angle = 68°

    Answer: 111.3cm²
  4. 4. Ratio

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

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 93, 17, 70, 46, 31, 99, 94, 56

    Answer: Mean = 63.3, Median = 70, Range = 82

Friday 2 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 29cm, angle = 52°

    Answer: 171.4cm²
  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: 91, 48, 48, 81, 28, 86, 43

    Answer: Mean = 60.7, Median = 48, Range = 63