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Capstone May 20 - 26 25 questions
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Monday 20 May 2019

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 = 15cm, b = 14cm, angle = 74°

    Answer: 100.9cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 45, 22, 20, 29, 66, 50, 97, 92

    Answer: Mean = 52.6, Median = 50, Range = 77

Tuesday 21 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 21cm, b = 18cm, angle = 67°

    Answer: 174cm²
  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: 13, 51, 88, 10, 38, 78, 97, 84

    Answer: Mean = 57.4, Median = 78, Range = 87

Wednesday 22 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3.4x

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

    Find area of triangle: a = 13cm, b = 30cm, angle = 40°

    Answer: 125.3cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 56, 93, 60, 38, 74, 10, 43

    Answer: Mean = 53.4, Median = 56, Range = 83

Thursday 23 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 19cm, angle = 73°

    Answer: 236.2cm²
  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: 23, 93, 77, 95, 41, 93, 42, 80

    Answer: Mean = 68, Median = 80, Range = 72

Friday 24 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√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 = 17cm, b = 28cm, angle = 80°

    Answer: 234.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 55, 63, 66, 69, 92, 43, 72, 56, 43

    Answer: Mean = 62.1, Median = 63, Range = 49