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Capstone Apr 2 - 8 25 questions
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Monday 2 April 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 = 30cm, b = 18cm, angle = 80°

    Answer: 265.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 54, 54, 40, 55, 98, 56, 21, 49

    Answer: Mean = 53.4, Median = 54, Range = 77

Tuesday 3 April 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 19cm, b = 28cm, angle = 76°

    Answer: 258.cm²
  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: 32, 22, 40, 96, 96, 32, 15, 34, 52

    Answer: Mean = 46.6, Median = 34, Range = 81

Wednesday 4 April 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 23cm, b = 12cm, angle = 40°

    Answer: 88.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 72, 88, 91, 15, 48, 76, 53, 32, 34

    Answer: Mean = 56.6, Median = 53, Range = 76

Thursday 5 April 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 13cm, b = 28cm, angle = 80°

    Answer: 179.2cm²
  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: 15, 58, 46, 90, 64, 37, 46, 27

    Answer: Mean = 47.9, Median = 46, Range = 75

Friday 6 April 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 17cm, b = 29cm, angle = 62°

    Answer: 217.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 52, 100, 35, 93, 50, 83, 18, 28, 52

    Answer: Mean = 56.8, Median = 52, Range = 82