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Capstone Nov 8 - 14 25 questions
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Monday 8 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 13cm, b = 19cm, angle = 60°

    Answer: 107cm²
  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: 67, 35, 47, 35, 84, 61, 43, 21

    Answer: Mean = 49.1, Median = 47, Range = 63

Tuesday 9 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

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

    Find area of triangle: a = 27cm, b = 20cm, angle = 40°

    Answer: 173.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 14, 38, 14, 62, 20, 45, 19

    Answer: Mean = 30.3, Median = 20, Range = 48

Wednesday 10 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 22cm, b = 29cm, angle = 50°

    Answer: 244.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 24, 34, 72, 17, 60, 61, 62

    Answer: Mean = 47.1, Median = 60, Range = 55

Thursday 11 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 13cm, b = 16cm, angle = 80°

    Answer: 102.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 71, 26, 57, 36, 29, 52, 65, 95

    Answer: Mean = 53.9, Median = 57, Range = 69

Friday 12 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 16cm, b = 16cm, angle = 48°

    Answer: 95.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 57, 99, 14, 93, 100, 76, 100, 88, 37

    Answer: Mean = 73.8, Median = 88, Range = 86