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Capstone Dec 27 - Jan 2 25 questions
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Monday 27 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 30cm, angle = 49°

    Answer: 147.2cm²
  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: 79, 69, 11, 31, 23, 94, 75, 74

    Answer: Mean = 57, Median = 74, Range = 83

Tuesday 28 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 27cm, angle = 71°

    Answer: 319.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 11, 66, 40, 84, 73, 86, 36, 74, 17

    Answer: Mean = 54.1, Median = 66, Range = 75

Wednesday 29 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 13cm, angle = 68°

    Answer: 102.5cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 2:5. Find a:b:c.

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

    Find the mean, median and range of: 25, 54, 33, 53, 17, 42, 99

    Answer: Mean = 46.1, Median = 42, Range = 82

Thursday 30 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 26cm, angle = 80°

    Answer: 320.cm²
  4. 4. Ratio

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

    Answer: 6:12:24
  5. 5. Statistics

    Find the mean, median and range of: 100, 54, 94, 18, 14, 98, 94, 81

    Answer: Mean = 69.1, Median = 94, Range = 86

Friday 31 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√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 = 18cm, b = 21cm, angle = 53°

    Answer: 150.9cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 69, 59, 74, 41, 35, 15, 66, 77, 36

    Answer: Mean = 52.4, Median = 59, Range = 62