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Capstone Jan 13 - 19 25 questions
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Monday 13 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 12cm, b = 27cm, angle = 50°

    Answer: 124.cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 2:5. Find a:b:c.

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 98, 46, 38, 86, 55, 31, 26

    Answer: Mean = 54.3, Median = 46, Range = 72

Tuesday 14 January 2020

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 = 16cm, b = 24cm, angle = 44°

    Answer: 133.4cm²
  4. 4. Ratio

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

    Answer: 6:12:16
  5. 5. Statistics

    Find the mean, median and range of: 77, 26, 17, 44, 31, 74, 75

    Answer: Mean = 49.1, Median = 44, Range = 60

Wednesday 15 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 12cm, b = 18cm, angle = 41°

    Answer: 70.9cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 28, 65, 77, 83, 74, 41, 39

    Answer: Mean = 58.1, Median = 65, Range = 55

Thursday 16 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 13cm, b = 14cm, angle = 65°

    Answer: 82.5cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 42, 41, 81, 22, 25, 12, 31, 62

    Answer: Mean = 39.5, Median = 41, Range = 69

Friday 17 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 24cm, angle = 64°

    Answer: 248.cm²
  4. 4. Ratio

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

    Answer: 2:3:6
  5. 5. Statistics

    Find the mean, median and range of: 69, 56, 85, 41, 44, 13, 43

    Answer: Mean = 50.1, Median = 44, Range = 72