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Capstone Apr 22 - 28 25 questions
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Monday 22 April 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 = 15cm, b = 14cm, angle = 56°

    Answer: 87cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 90, 67, 64, 14, 91, 74, 43, 58

    Answer: Mean = 62.6, Median = 67, Range = 77

Tuesday 23 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  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 = 47°

    Answer: 246.8cm²
  4. 4. Ratio

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

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 36, 21, 42, 28, 98, 82, 91

    Answer: Mean = 56.9, Median = 42, Range = 77

Wednesday 24 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 16cm, angle = 40°

    Answer: 133.7cm²
  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: 28, 94, 11, 74, 71, 66, 82

    Answer: Mean = 60.9, Median = 71, Range = 83

Thursday 25 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 15cm, angle = 42°

    Answer: 90.3cm²
  4. 4. Ratio

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

    Answer: 8:6:12
  5. 5. Statistics

    Find the mean, median and range of: 50, 54, 59, 41, 92, 24, 98, 64

    Answer: Mean = 60.3, Median = 59, Range = 74

Friday 26 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 18cm, b = 22cm, angle = 75°

    Answer: 191.3cm²
  4. 4. Ratio

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

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 95, 64, 55, 12, 60, 84, 79, 100, 91

    Answer: Mean = 71.1, Median = 79, Range = 88