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Capstone May 27 - Jun 2 25 questions
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Monday 27 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√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 = 17cm, b = 27cm, angle = 80°

    Answer: 226cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 69, 34, 35, 54, 94, 44, 46

    Answer: Mean = 53.7, Median = 46, Range = 60

Tuesday 28 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 + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 19cm, angle = 50°

    Answer: 181.9cm²
  4. 4. Ratio

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

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 62, 30, 52, 96, 49, 78, 12, 98, 93

    Answer: Mean = 63.3, Median = 62, Range = 86

Wednesday 29 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

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

    Find area of triangle: a = 15cm, b = 18cm, angle = 62°

    Answer: 119.2cm²
  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, 66, 71, 81, 26, 67, 64

    Answer: Mean = 55.1, Median = 66, Range = 70

Thursday 30 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 28cm, angle = 72°

    Answer: 279.6cm²
  4. 4. Ratio

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

    Answer: 8:4:6
  5. 5. Statistics

    Find the mean, median and range of: 30, 46, 87, 89, 32, 51, 83, 73

    Answer: Mean = 61.4, Median = 73, Range = 59

Friday 31 May 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 = 28cm, b = 29cm, angle = 69°

    Answer: 379cm²
  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: 18, 90, 40, 12, 28, 19, 73, 51

    Answer: Mean = 41.4, Median = 40, Range = 78