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Capstone Sep 24 - 30 25 questions
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Monday 24 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 18cm, angle = 68°

    Answer: 158.5cm²
  4. 4. Ratio

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

    Answer: 6:4:3
  5. 5. Statistics

    Find the mean, median and range of: 86, 72, 96, 75, 75, 72, 87

    Answer: Mean = 80.4, Median = 75, Range = 24

Tuesday 25 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 16cm, angle = 79°

    Answer: 125.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 75, 75, 76, 99, 31, 28, 16, 15, 71

    Answer: Mean = 54, Median = 71, Range = 84

Wednesday 26 September 2018

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 = 15cm, b = 22cm, angle = 61°

    Answer: 144.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 13, 71, 47, 20, 11, 75, 50, 28

    Answer: Mean = 39.4, Median = 47, Range = 64

Thursday 27 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√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 = 23cm, b = 16cm, angle = 63°

    Answer: 163.9cm²
  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: 84, 60, 93, 48, 49, 34, 24

    Answer: Mean = 56, Median = 49, Range = 69

Friday 28 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 25cm, b = 17cm, angle = 61°

    Answer: 185.9cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 94, 94, 77, 17, 68, 71, 56

    Answer: Mean = 68.1, Median = 71, Range = 77