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Capstone Aug 13 - 19 25 questions
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Monday 13 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 14cm, angle = 77°

    Answer: 81.8cm²
  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: 11, 72, 43, 22, 23, 91, 100

    Answer: Mean = 51.7, Median = 43, Range = 89

Tuesday 14 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 12cm, angle = 57°

    Answer: 145.9cm²
  4. 4. Ratio

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

    Answer: 4:2:6
  5. 5. Statistics

    Find the mean, median and range of: 35, 78, 45, 11, 33, 32, 49, 83

    Answer: Mean = 45.8, Median = 45, Range = 72

Wednesday 15 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 26cm, angle = 72°

    Answer: 173.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: 45, 30, 73, 47, 40, 21, 68, 43, 60

    Answer: Mean = 47.4, Median = 45, Range = 52

Thursday 16 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 13cm, b = 23cm, angle = 64°

    Answer: 134.4cm²
  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: 27, 99, 68, 73, 58, 37, 60, 22, 25

    Answer: Mean = 52.1, Median = 58, Range = 77

Friday 17 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 30cm, angle = 52°

    Answer: 283.7cm²
  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: 75, 10, 11, 14, 76, 82, 91

    Answer: Mean = 51.3, Median = 75, Range = 81