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Capstone Oct 8 - 14 25 questions
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Monday 8 October 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 16cm, b = 29cm, angle = 71°

    Answer: 219.4cm²
  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: 31, 71, 82, 53, 50, 83, 67, 34

    Answer: Mean = 58.9, Median = 67, Range = 52

Tuesday 9 October 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 18cm, angle = 53°

    Answer: 194.cm²
  4. 4. Ratio

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

    Answer: 2:4:10
  5. 5. Statistics

    Find the mean, median and range of: 54, 76, 66, 73, 39, 47, 75

    Answer: Mean = 61.4, Median = 66, Range = 37

Wednesday 10 October 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 20cm, angle = 59°

    Answer: 197.cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 3:5. Find a:b:c.

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 68, 60, 32, 57, 49, 71, 45, 68, 81

    Answer: Mean = 59, Median = 60, Range = 49

Thursday 11 October 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 16cm, angle = 43°

    Answer: 109.cm²
  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: 87, 53, 50, 13, 25, 68, 78, 80, 98

    Answer: Mean = 61.3, Median = 68, Range = 85

Friday 12 October 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  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 = 15cm, angle = 43°

    Answer: 66.5cm²
  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: 60, 97, 61, 61, 53, 13, 59, 89

    Answer: Mean = 61.6, Median = 61, Range = 84