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Capstone Jan 6 - 12 25 questions
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Monday 6 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 14cm, angle = 79°

    Answer: 158cm²
  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: 25, 25, 60, 94, 60, 19, 93, 10, 75

    Answer: Mean = 51.2, Median = 60, Range = 84

Tuesday 7 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 12cm, b = 21cm, angle = 66°

    Answer: 115.cm²
  4. 4. Ratio

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

    Answer: 6:4:3
  5. 5. Statistics

    Find the mean, median and range of: 22, 37, 82, 70, 53, 13, 91, 46, 92

    Answer: Mean = 56.2, Median = 53, Range = 79

Wednesday 8 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 25cm, angle = 42°

    Answer: 100.4cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 81, 12, 78, 100, 32, 71, 85, 92, 43

    Answer: Mean = 66, Median = 78, Range = 88

Thursday 9 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 17cm, angle = 79°

    Answer: 108.5cm²
  4. 4. Ratio

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

    Answer: 9:12:20
  5. 5. Statistics

    Find the mean, median and range of: 11, 52, 89, 38, 29, 21, 71

    Answer: Mean = 44.4, Median = 38, Range = 78

Friday 10 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 3.6x

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

    Find area of triangle: a = 21cm, b = 23cm, angle = 73°

    Answer: 230.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 22, 41, 65, 11, 88, 28, 22, 81

    Answer: Mean = 44.8, Median = 41, Range = 77