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Capstone Jul 2 - 8 25 questions
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Monday 2 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 + 2x

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

    Find area of triangle: a = 13cm, b = 21cm, angle = 71°

    Answer: 129.cm²
  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: 15, 32, 34, 11, 81, 46, 36, 89, 36

    Answer: Mean = 42.2, Median = 36, Range = 78

Tuesday 3 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 17cm, angle = 57°

    Answer: 106.9cm²
  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: 22, 92, 88, 12, 38, 46, 94, 47

    Answer: Mean = 54.9, Median = 47, Range = 82

Wednesday 4 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 27cm, b = 19cm, angle = 43°

    Answer: 174.9cm²
  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: 53, 71, 10, 73, 93, 33, 23, 25, 71

    Answer: Mean = 50.2, Median = 53, Range = 83

Thursday 5 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 17cm, angle = 74°

    Answer: 196.cm²
  4. 4. Ratio

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

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 11, 72, 65, 42, 76, 60, 77, 10

    Answer: Mean = 51.6, Median = 65, Range = 67

Friday 6 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 + 4.8x

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

    Find area of triangle: a = 30cm, b = 23cm, angle = 64°

    Answer: 310.cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 74, 93, 86, 79, 20, 50, 60

    Answer: Mean = 66, Median = 74, Range = 73