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Capstone Sep 10 - 16 25 questions
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Monday 10 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 17cm, b = 25cm, angle = 59°

    Answer: 182.cm²
  4. 4. Ratio

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

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 86, 19, 11, 22, 54, 89, 28, 89, 23

    Answer: Mean = 46.8, Median = 28, Range = 78

Tuesday 11 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

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

    Find area of triangle: a = 15cm, b = 17cm, angle = 56°

    Answer: 105.7cm²
  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: 44, 60, 56, 22, 23, 49, 56, 80, 79

    Answer: Mean = 52.1, Median = 56, Range = 58

Wednesday 12 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 25cm, b = 15cm, angle = 64°

    Answer: 168.5cm²
  4. 4. Ratio

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

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 50, 49, 46, 33, 68, 42, 74, 50, 15

    Answer: Mean = 47.4, Median = 49, Range = 59

Thursday 13 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 25cm, b = 17cm, angle = 69°

    Answer: 198.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 89, 12, 79, 52, 61, 74, 67, 96

    Answer: Mean = 66.3, Median = 74, Range = 84

Friday 14 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 26cm, angle = 80°

    Answer: 371.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 52, 31, 50, 84, 97, 22, 19, 13, 22

    Answer: Mean = 43.3, Median = 31, Range = 84