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Capstone Dec 3 - 9 25 questions
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Monday 3 December 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 19cm, b = 15cm, angle = 43°

    Answer: 97.2cm²
  4. 4. Ratio

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

    Answer: 9:6:8
  5. 5. Statistics

    Find the mean, median and range of: 17, 70, 14, 74, 52, 24, 88, 46, 88

    Answer: Mean = 52.6, Median = 52, Range = 74

Tuesday 4 December 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 20cm, b = 22cm, angle = 62°

    Answer: 194.2cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 63, 84, 100, 69, 60, 96, 70

    Answer: Mean = 77.4, Median = 70, Range = 40

Wednesday 5 December 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 15cm, angle = 47°

    Answer: 76.8cm²
  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: 70, 34, 98, 92, 67, 63, 22, 41

    Answer: Mean = 60.9, Median = 67, Range = 76

Thursday 6 December 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3.4x

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

    Find area of triangle: a = 21cm, b = 30cm, angle = 59°

    Answer: 270cm²
  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: 72, 28, 73, 75, 33, 67, 44, 79, 28

    Answer: Mean = 55.4, Median = 67, Range = 51

Friday 7 December 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 16cm, b = 17cm, angle = 71°

    Answer: 128.6cm²
  4. 4. Ratio

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

    Answer: 16:12:9
  5. 5. Statistics

    Find the mean, median and range of: 52, 17, 83, 36, 29, 71, 48, 44, 26

    Answer: Mean = 45.1, Median = 44, Range = 66