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Capstone Dec 21 - 27 25 questions
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Monday 21 December 2020

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 = 21cm, b = 12cm, angle = 51°

    Answer: 97.9cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 2:5. Find a:b:c.

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 35, 43, 79, 49, 97, 32, 79, 11

    Answer: Mean = 53.1, Median = 49, Range = 86

Tuesday 22 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.6x

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

    Find area of triangle: a = 21cm, b = 27cm, angle = 43°

    Answer: 193.3cm²
  4. 4. Ratio

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

    Answer: 6:12:24
  5. 5. Statistics

    Find the mean, median and range of: 39, 70, 19, 48, 55, 45, 13

    Answer: Mean = 41.3, Median = 45, Range = 57

Wednesday 23 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 29cm, b = 29cm, angle = 61°

    Answer: 367.8cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 47, 12, 41, 24, 20, 52, 84, 37, 78

    Answer: Mean = 43.9, Median = 41, Range = 72

Thursday 24 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 20cm, angle = 44°

    Answer: 111.cm²
  4. 4. Ratio

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

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 37, 56, 21, 67, 97, 82, 83, 69

    Answer: Mean = 64, Median = 69, Range = 76

Friday 25 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 12cm, b = 29cm, angle = 47°

    Answer: 127.3cm²
  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: 67, 65, 32, 93, 78, 95, 68, 75

    Answer: Mean = 71.6, Median = 75, Range = 63