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Capstone Dec 16 - 22 25 questions
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Monday 16 December 2019

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 = 27cm, b = 30cm, angle = 59°

    Answer: 347.2cm²
  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: 77, 76, 85, 12, 97, 79, 100, 31

    Answer: Mean = 69.6, Median = 79, Range = 88

Tuesday 17 December 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 17cm, b = 13cm, angle = 49°

    Answer: 83.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 93, 79, 44, 84, 22, 49, 86, 28

    Answer: Mean = 60.6, Median = 79, Range = 71

Wednesday 18 December 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 49°

    Answer: 163cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 86, 36, 61, 81, 17, 28, 75, 33

    Answer: Mean = 52.1, Median = 61, Range = 69

Thursday 19 December 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√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 = 17cm, b = 27cm, angle = 52°

    Answer: 180.8cm²
  4. 4. Ratio

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

    Answer: 3:4:6
  5. 5. Statistics

    Find the mean, median and range of: 13, 42, 71, 88, 32, 75, 93, 39, 82

    Answer: Mean = 59.4, Median = 71, Range = 80

Friday 20 December 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 26cm, angle = 72°

    Answer: 210.2cm²
  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: 82, 92, 50, 95, 82, 76, 90, 29, 86

    Answer: Mean = 75.8, Median = 82, Range = 66