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Capstone Apr 29 - May 5 25 questions
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Monday 29 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 16cm, b = 20cm, angle = 51°

    Answer: 124.3cm²
  4. 4. Ratio

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

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 52, 85, 70, 52, 86, 24, 89, 74

    Answer: Mean = 66.5, Median = 74, Range = 65

Tuesday 30 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 14cm, b = 20cm, angle = 80°

    Answer: 137.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 34, 45, 36, 46, 98, 99, 68, 85

    Answer: Mean = 63.9, Median = 68, Range = 65

Wednesday 1 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4.6x

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

    Find area of triangle: a = 24cm, b = 17cm, angle = 68°

    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: 61, 54, 80, 36, 23, 23, 88

    Answer: Mean = 52.1, Median = 54, Range = 65

Thursday 2 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 27cm, b = 26cm, angle = 60°

    Answer: 304cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 40, 36, 14, 86, 65, 98, 81, 69, 100

    Answer: Mean = 65.4, Median = 69, Range = 86

Friday 3 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√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 = 24cm, b = 14cm, angle = 57°

    Answer: 140.9cm²
  4. 4. Ratio

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

    Answer: 2:3:4
  5. 5. Statistics

    Find the mean, median and range of: 80, 88, 45, 31, 19, 44, 87, 35, 25

    Answer: Mean = 50.4, Median = 44, Range = 69