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Capstone Nov 12 - 18 25 questions
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Monday 12 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 + 4.2x

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

    Find area of triangle: a = 30cm, b = 26cm, angle = 77°

    Answer: 380cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 15, 86, 71, 12, 39, 91, 29, 80, 39

    Answer: Mean = 51.3, Median = 39, Range = 79

Tuesday 13 November 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 21cm, angle = 67°

    Answer: 116cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 86, 23, 65, 78, 92, 67, 88, 88

    Answer: Mean = 73.4, Median = 86, Range = 69

Wednesday 14 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 + 3.6x

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

    Find area of triangle: a = 28cm, b = 20cm, angle = 66°

    Answer: 255.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 42, 97, 48, 97, 74, 82, 59

    Answer: Mean = 71.3, Median = 74, Range = 55

Thursday 15 November 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 15cm, b = 30cm, angle = 59°

    Answer: 192.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 76, 15, 45, 35, 53, 44, 95, 59, 84

    Answer: Mean = 56.2, Median = 53, Range = 80

Friday 16 November 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 18cm, b = 27cm, angle = 40°

    Answer: 156.2cm²
  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: 23, 89, 50, 92, 71, 46, 53

    Answer: Mean = 60.6, Median = 53, Range = 69