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Capstone Mar 19 - 25 25 questions
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Monday 19 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 22cm, b = 14cm, angle = 64°

    Answer: 138.4cm²
  4. 4. Ratio

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

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 97, 59, 59, 33, 13, 44, 13, 84

    Answer: Mean = 50.3, Median = 59, Range = 84

Tuesday 20 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 18cm, b = 29cm, angle = 48°

    Answer: 194cm²
  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: 87, 33, 60, 32, 10, 21, 90

    Answer: Mean = 47.6, Median = 33, Range = 80

Wednesday 21 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 19cm, b = 17cm, angle = 63°

    Answer: 143.9cm²
  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: 34, 61, 19, 95, 70, 84, 62

    Answer: Mean = 60.7, Median = 62, Range = 76

Thursday 22 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 21cm, b = 30cm, angle = 79°

    Answer: 309.2cm²
  4. 4. Ratio

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

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 90, 84, 72, 66, 65, 30, 69, 98

    Answer: Mean = 71.8, Median = 72, Range = 68

Friday 23 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√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 = 30cm, b = 22cm, angle = 46°

    Answer: 237.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 57, 77, 60, 85, 42, 39, 59, 71, 75

    Answer: Mean = 62.8, Median = 60, Range = 46