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Capstone Apr 15 - 21 25 questions
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Monday 15 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 18cm, angle = 63°

    Answer: 232.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 94, 67, 90, 56, 96, 36, 85, 75

    Answer: Mean = 74.9, Median = 85, Range = 60

Tuesday 16 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 20cm, b = 16cm, angle = 64°

    Answer: 143.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 72, 83, 94, 56, 95, 62, 70

    Answer: Mean = 76, Median = 72, Range = 39

Wednesday 17 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 15cm, angle = 73°

    Answer: 157.8cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 57, 100, 65, 35, 55, 44, 97

    Answer: Mean = 64.7, Median = 57, Range = 65

Thursday 18 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 16cm, b = 20cm, angle = 75°

    Answer: 154.5cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 100, 81, 33, 22, 87, 28, 63, 51, 58

    Answer: Mean = 58.1, Median = 58, Range = 78

Friday 19 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.2x

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

    Find area of triangle: a = 19cm, b = 19cm, angle = 73°

    Answer: 172.6cm²
  4. 4. Ratio

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

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 97, 49, 93, 64, 65, 38, 28, 85

    Answer: Mean = 64.9, Median = 65, Range = 69