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Capstone May 14 - 20 25 questions
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Monday 14 May 2018

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 = 12cm, b = 30cm, angle = 65°

    Answer: 163.cm²
  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: 72, 55, 16, 40, 66, 79, 85, 18, 37

    Answer: Mean = 52, Median = 55, Range = 69

Tuesday 15 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 25cm, b = 20cm, angle = 58°

    Answer: 212cm²
  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: 10, 99, 51, 91, 50, 67, 99, 87

    Answer: Mean = 69.3, Median = 87, Range = 89

Wednesday 16 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 22cm, angle = 64°

    Answer: 217.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 67, 90, 34, 26, 29, 62, 16

    Answer: Mean = 46.3, Median = 34, Range = 74

Thursday 17 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 22cm, b = 17cm, angle = 75°

    Answer: 180.6cm²
  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: 85, 53, 37, 79, 73, 17, 25, 34

    Answer: Mean = 50.4, Median = 53, Range = 68

Friday 18 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 21cm, angle = 59°

    Answer: 117cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 48, 56, 78, 68, 92, 58, 16

    Answer: Mean = 59.4, Median = 58, Range = 76