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Capstone Feb 18 - 24 25 questions
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Monday 18 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 16cm, angle = 80°

    Answer: 149.7cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 30, 25, 32, 24, 88, 96, 48

    Answer: Mean = 49, Median = 32, Range = 72

Tuesday 19 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 30cm, b = 15cm, angle = 52°

    Answer: 177.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 38, 11, 58, 62, 84, 73, 25, 44, 92

    Answer: Mean = 54.1, Median = 58, Range = 81

Wednesday 20 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 22cm, angle = 61°

    Answer: 134.7cm²
  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: 96, 57, 99, 43, 74, 61, 52, 63

    Answer: Mean = 68.1, Median = 63, Range = 56

Thursday 21 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4.6x

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

    Find area of triangle: a = 20cm, b = 19cm, angle = 72°

    Answer: 180.7cm²
  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: 70, 14, 64, 94, 74, 67, 41, 48

    Answer: Mean = 59, Median = 67, Range = 80

Friday 22 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 = 24cm, b = 18cm, angle = 62°

    Answer: 190.7cm²
  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: 89, 42, 100, 42, 96, 86, 14, 51

    Answer: Mean = 65, Median = 86, Range = 86