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Capstone Oct 21 - 27 25 questions
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Monday 21 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 16cm, angle = 63°

    Answer: 114cm²
  4. 4. Ratio

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

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 48, 62, 25, 33, 35, 21, 71, 90

    Answer: Mean = 48.1, Median = 48, Range = 69

Tuesday 22 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 27cm, b = 14cm, angle = 50°

    Answer: 144.8cm²
  4. 4. Ratio

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

    Answer: 2:4:10
  5. 5. Statistics

    Find the mean, median and range of: 85, 25, 37, 96, 45, 34, 90, 94

    Answer: Mean = 63.3, Median = 85, Range = 71

Wednesday 23 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 18cm, b = 12cm, angle = 52°

    Answer: 85.cm²
  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: 13, 99, 87, 34, 26, 70, 12, 92

    Answer: Mean = 54.1, Median = 70, Range = 87

Thursday 24 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 26cm, b = 22cm, angle = 54°

    Answer: 231.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 21, 37, 16, 47, 52, 21, 12, 71

    Answer: Mean = 34.6, Median = 37, Range = 59

Friday 25 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 20cm, angle = 71°

    Answer: 189.cm²
  4. 4. Ratio

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

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 30, 69, 13, 27, 11, 41, 27

    Answer: Mean = 31.1, Median = 27, Range = 58