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Capstone Nov 9 - 15 25 questions
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Monday 9 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 24cm, angle = 40°

    Answer: 123.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 69, 97, 28, 60, 11, 24, 55

    Answer: Mean = 49.1, Median = 55, Range = 86

Tuesday 10 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 13cm, b = 18cm, angle = 79°

    Answer: 114.9cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 69, 41, 57, 20, 27, 81, 49, 27

    Answer: Mean = 46.4, Median = 49, Range = 61

Wednesday 11 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 23cm, b = 12cm, angle = 51°

    Answer: 107.2cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 79, 47, 24, 41, 77, 93, 74, 19

    Answer: Mean = 56.8, Median = 74, Range = 74

Thursday 12 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 14cm, b = 24cm, angle = 44°

    Answer: 116.7cm²
  4. 4. Ratio

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

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 22, 72, 88, 65, 65, 20, 69, 24

    Answer: Mean = 53.1, Median = 65, Range = 68

Friday 13 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 15cm, b = 22cm, angle = 50°

    Answer: 126.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 81, 100, 95, 37, 86, 42, 66

    Answer: Mean = 72.4, Median = 81, Range = 63