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Capstone Aug 20 - 26 25 questions
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Monday 20 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 22cm, b = 27cm, angle = 63°

    Answer: 264.6cm²
  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: 19, 33, 72, 79, 47, 98, 45, 90

    Answer: Mean = 60.4, Median = 72, Range = 79

Tuesday 21 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 22cm, b = 29cm, angle = 67°

    Answer: 293.6cm²
  4. 4. Ratio

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

    Answer: 2:4:12
  5. 5. Statistics

    Find the mean, median and range of: 87, 53, 61, 49, 22, 25, 62, 95

    Answer: Mean = 56.8, Median = 61, Range = 73

Wednesday 22 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 21cm, angle = 66°

    Answer: 191.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 78, 30, 56, 91, 24, 97, 38, 91

    Answer: Mean = 63.1, Median = 78, Range = 73

Thursday 23 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 21cm, angle = 79°

    Answer: 134cm²
  4. 4. Ratio

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

    Answer: 16:12:15
  5. 5. Statistics

    Find the mean, median and range of: 55, 94, 88, 82, 13, 84, 36, 55

    Answer: Mean = 63.4, Median = 82, Range = 81

Friday 24 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 24cm, angle = 77°

    Answer: 233.8cm²
  4. 4. Ratio

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

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 35, 26, 23, 15, 86, 60, 27, 41, 95

    Answer: Mean = 45.3, Median = 35, Range = 80