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Capstone Feb 4 - 10 25 questions
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Monday 4 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 22cm, b = 27cm, angle = 67°

    Answer: 273.4cm²
  4. 4. Ratio

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

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 32, 51, 26, 76, 89, 39, 77, 71, 81

    Answer: Mean = 60.2, Median = 71, Range = 63

Tuesday 5 February 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 = 22cm, b = 23cm, angle = 64°

    Answer: 227.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 75, 67, 59, 17, 64, 28, 44, 31

    Answer: Mean = 48.1, Median = 59, Range = 58

Wednesday 6 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 15cm, b = 14cm, angle = 74°

    Answer: 100.9cm²
  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: 65, 64, 50, 33, 33, 18, 99, 40

    Answer: Mean = 50.3, Median = 50, Range = 81

Thursday 7 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 27cm, b = 27cm, angle = 55°

    Answer: 298.6cm²
  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: 20, 10, 99, 89, 91, 71, 43

    Answer: Mean = 60.4, Median = 71, Range = 89

Friday 8 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 19cm, angle = 44°

    Answer: 118.8cm²
  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, 21, 52, 88, 87, 86, 33

    Answer: Mean = 60.3, Median = 55, Range = 67