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Capstone Sep 16 - 22 25 questions
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Monday 16 September 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 21cm, angle = 61°

    Answer: 128.6cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 93, 39, 52, 64, 82, 73, 87, 31

    Answer: Mean = 65.1, Median = 73, Range = 62

Tuesday 17 September 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 12cm, b = 15cm, angle = 43°

    Answer: 61.4cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 55, 66, 86, 33, 79, 50, 30

    Answer: Mean = 57, Median = 55, Range = 56

Wednesday 18 September 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  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 = 27cm, angle = 78°

    Answer: 250.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 84, 96, 48, 90, 61, 92, 52, 13

    Answer: Mean = 67, Median = 84, Range = 83

Thursday 19 September 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 12cm, angle = 41°

    Answer: 66.9cm²
  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: 34, 26, 31, 76, 15, 89, 76, 50

    Answer: Mean = 49.6, Median = 50, Range = 74

Friday 20 September 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 29cm, b = 30cm, angle = 45°

    Answer: 307.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 94, 40, 95, 35, 65, 12, 75, 83, 24

    Answer: Mean = 58.1, Median = 65, Range = 83