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Capstone Apr 30 - May 6 25 questions
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Monday 30 April 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 17cm, angle = 78°

    Answer: 232.8cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 66, 55, 21, 12, 18, 70, 80, 46

    Answer: Mean = 46, Median = 55, Range = 68

Tuesday 1 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 + 4x

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

    Find area of triangle: a = 30cm, b = 14cm, angle = 55°

    Answer: 172cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 91, 64, 67, 41, 64, 86, 95, 87

    Answer: Mean = 74.4, Median = 86, Range = 54

Wednesday 2 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 + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 24cm, angle = 69°

    Answer: 336.cm²
  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: 91, 89, 54, 68, 10, 61, 48, 25

    Answer: Mean = 55.8, Median = 61, Range = 81

Thursday 3 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 + 5.8x

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

    Find area of triangle: a = 23cm, b = 30cm, angle = 62°

    Answer: 304.6cm²
  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: 83, 76, 87, 22, 40, 77, 82, 55

    Answer: Mean = 65.3, Median = 77, Range = 65

Friday 4 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 28cm, angle = 58°

    Answer: 356.2cm²
  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: 41, 63, 23, 42, 92, 91, 97

    Answer: Mean = 64.1, Median = 63, Range = 74