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Capstone May 6 - 12 25 questions
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Monday 6 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 19cm, angle = 59°

    Answer: 105.9cm²
  4. 4. Ratio

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

    Answer: 16:12:9
  5. 5. Statistics

    Find the mean, median and range of: 77, 11, 97, 83, 44, 66, 15, 78

    Answer: Mean = 58.9, Median = 77, Range = 86

Tuesday 7 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 + 5.8x

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

    Find area of triangle: a = 12cm, b = 19cm, angle = 41°

    Answer: 74.8cm²
  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: 97, 86, 94, 63, 21, 60, 82

    Answer: Mean = 71.9, Median = 82, Range = 76

Wednesday 8 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 23cm, b = 16cm, angle = 50°

    Answer: 141cm²
  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: 34, 62, 36, 30, 84, 29, 12

    Answer: Mean = 41, Median = 34, Range = 72

Thursday 9 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 25cm, angle = 69°

    Answer: 256.7cm²
  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: 15, 100, 82, 50, 36, 38, 46, 39

    Answer: Mean = 50.8, Median = 46, Range = 85

Friday 10 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 + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 15cm, angle = 40°

    Answer: 115.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 41, 81, 22, 14, 54, 53, 25, 73

    Answer: Mean = 45.4, Median = 53, Range = 67