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Capstone Dec 24 - 30 25 questions
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Monday 24 December 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 24cm, b = 29cm, angle = 50°

    Answer: 266.6cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 70, 83, 49, 67, 38, 49, 62

    Answer: Mean = 59.7, Median = 62, Range = 45

Tuesday 25 December 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 15cm, b = 13cm, angle = 52°

    Answer: 76.8cm²
  4. 4. Ratio

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

    Answer: 16:12:15
  5. 5. Statistics

    Find the mean, median and range of: 58, 27, 48, 73, 59, 20, 81, 27, 27

    Answer: Mean = 46.7, Median = 48, Range = 61

Wednesday 26 December 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

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

    Find area of triangle: a = 30cm, b = 15cm, angle = 76°

    Answer: 218.3cm²
  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: 31, 77, 44, 71, 65, 28, 11, 67, 42

    Answer: Mean = 48.4, Median = 44, Range = 66

Thursday 27 December 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 23cm, angle = 47°

    Answer: 210.3cm²
  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: 54, 54, 31, 26, 62, 17, 38, 60

    Answer: Mean = 42.8, Median = 54, Range = 45

Friday 28 December 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 15cm, b = 18cm, angle = 60°

    Answer: 116.9cm²
  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: 35, 29, 99, 81, 44, 45, 25, 26

    Answer: Mean = 48, Median = 44, Range = 74