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Capstone Nov 5 - 11 25 questions
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Monday 5 November 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√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 = 26cm, b = 23cm, angle = 68°

    Answer: 277.2cm²
  4. 4. Ratio

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

    Answer: 8:6:9
  5. 5. Statistics

    Find the mean, median and range of: 24, 78, 51, 15, 72, 18, 70, 56

    Answer: Mean = 48, Median = 56, Range = 63

Tuesday 6 November 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 25cm, b = 25cm, angle = 46°

    Answer: 224.8cm²
  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: 20, 59, 78, 86, 80, 94, 56, 41

    Answer: Mean = 64.3, Median = 78, Range = 74

Wednesday 7 November 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 18cm, b = 24cm, angle = 47°

    Answer: 158cm²
  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: 23, 39, 51, 93, 18, 100, 72, 36, 94

    Answer: Mean = 58.4, Median = 51, Range = 82

Thursday 8 November 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 30cm, b = 18cm, angle = 69°

    Answer: 252.cm²
  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: 13, 16, 75, 88, 98, 64, 52, 23

    Answer: Mean = 53.6, Median = 64, Range = 85

Friday 9 November 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 24cm, b = 25cm, angle = 62°

    Answer: 264.9cm²
  4. 4. Ratio

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

    Answer: 2:3:4
  5. 5. Statistics

    Find the mean, median and range of: 78, 47, 39, 60, 33, 26, 38, 86

    Answer: Mean = 50.9, Median = 47, Range = 60