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Capstone Jul 23 - 29 25 questions
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Monday 23 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 21cm, b = 18cm, angle = 44°

    Answer: 131.3cm²
  4. 4. Ratio

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

    Answer: 3:4:6
  5. 5. Statistics

    Find the mean, median and range of: 66, 14, 50, 24, 50, 100, 22

    Answer: Mean = 46.6, Median = 50, Range = 86

Tuesday 24 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 22cm, b = 22cm, angle = 43°

    Answer: 165cm²
  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: 11, 90, 51, 41, 46, 65, 31, 25

    Answer: Mean = 45, Median = 46, Range = 79

Wednesday 25 July 2018

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 = 21cm, b = 16cm, angle = 54°

    Answer: 135.9cm²
  4. 4. Ratio

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

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 46, 96, 54, 43, 55, 41, 18, 11, 100

    Answer: Mean = 51.6, Median = 46, Range = 89

Thursday 26 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√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 = 27cm, b = 22cm, angle = 61°

    Answer: 259.8cm²
  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: 66, 65, 67, 93, 69, 81, 49

    Answer: Mean = 70, Median = 67, Range = 44

Friday 27 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 19cm, angle = 42°

    Answer: 184.3cm²
  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: 89, 11, 57, 27, 38, 45, 25, 27, 67

    Answer: Mean = 42.9, Median = 38, Range = 78