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Capstone Mar 11 - 17 25 questions
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Monday 11 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 27cm, b = 26cm, angle = 40°

    Answer: 225.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 85, 62, 60, 33, 99, 98, 42, 85, 80

    Answer: Mean = 71.6, Median = 80, Range = 66

Tuesday 12 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 21cm, b = 30cm, angle = 80°

    Answer: 310.2cm²
  4. 4. Ratio

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

    Answer: 16:12:9
  5. 5. Statistics

    Find the mean, median and range of: 58, 16, 30, 26, 40, 43, 82, 25, 46

    Answer: Mean = 40.7, Median = 40, Range = 66

Wednesday 13 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 26cm, b = 15cm, angle = 66°

    Answer: 178.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 86, 17, 67, 78, 91, 65, 65, 20, 12

    Answer: Mean = 55.7, Median = 65, Range = 79

Thursday 14 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 29cm, angle = 47°

    Answer: 148.5cm²
  4. 4. Ratio

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

    Answer: 3:2:6
  5. 5. Statistics

    Find the mean, median and range of: 55, 94, 100, 38, 97, 59, 37

    Answer: Mean = 68.6, Median = 59, Range = 63

Friday 15 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 18cm, b = 20cm, angle = 69°

    Answer: 168cm²
  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: 42, 73, 60, 70, 12, 100, 93, 43

    Answer: Mean = 61.6, Median = 70, Range = 88