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Capstone May 4 - 10 25 questions
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Monday 4 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 21cm, angle = 74°

    Answer: 292.7cm²
  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: 40, 72, 25, 67, 14, 65, 35, 23

    Answer: Mean = 42.6, Median = 40, Range = 58

Tuesday 5 May 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 = 24cm, b = 22cm, angle = 61°

    Answer: 230.9cm²
  4. 4. Ratio

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

    Answer: 3:2:6
  5. 5. Statistics

    Find the mean, median and range of: 16, 44, 33, 84, 74, 30, 13, 92, 27

    Answer: Mean = 45.9, Median = 33, Range = 79

Wednesday 6 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 13cm, angle = 44°

    Answer: 130.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 68, 36, 83, 65, 81, 11, 46, 84, 74

    Answer: Mean = 60.9, Median = 68, Range = 73

Thursday 7 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 30cm, b = 23cm, angle = 64°

    Answer: 310.cm²
  4. 4. Ratio

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

    Answer: 2:4:8
  5. 5. Statistics

    Find the mean, median and range of: 85, 55, 79, 12, 93, 39, 52, 38

    Answer: Mean = 56.6, Median = 55, Range = 81

Friday 8 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 27cm, angle = 67°

    Answer: 360.4cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 30, 27, 62, 21, 34, 20, 69, 16, 52

    Answer: Mean = 36.8, Median = 30, Range = 53