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Capstone Oct 5 - 11 25 questions
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Monday 5 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 20cm, b = 18cm, angle = 67°

    Answer: 165.7cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 52, 37, 32, 83, 93, 31, 82, 58

    Answer: Mean = 58.5, Median = 58, Range = 62

Tuesday 6 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 28cm, angle = 79°

    Answer: 164.9cm²
  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: 26, 65, 67, 85, 17, 37, 66

    Answer: Mean = 51.9, Median = 65, Range = 68

Wednesday 7 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 23cm, b = 29cm, angle = 51°

    Answer: 259.2cm²
  4. 4. Ratio

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

    Answer: 3:4:8
  5. 5. Statistics

    Find the mean, median and range of: 76, 49, 72, 81, 92, 33, 49, 54

    Answer: Mean = 63.3, Median = 72, Range = 59

Thursday 8 October 2020

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 = 25cm, b = 28cm, angle = 80°

    Answer: 344.7cm²
  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: 19, 82, 91, 79, 23, 47, 49, 76

    Answer: Mean = 58.3, Median = 76, Range = 72

Friday 9 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 16cm, b = 29cm, angle = 59°

    Answer: 198.9cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 3:5. Find a:b:c.

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 64, 94, 13, 67, 72, 65, 11, 54

    Answer: Mean = 55, Median = 65, Range = 83