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Capstone Apr 1 - 7 25 questions
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Monday 1 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 15cm, b = 13cm, angle = 63°

    Answer: 86.9cm²
  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: 69, 94, 24, 37, 80, 84, 84, 95, 69

    Answer: Mean = 70.7, Median = 80, Range = 71

Tuesday 2 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 12cm, angle = 40°

    Answer: 50.cm²
  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: 83, 22, 64, 97, 57, 50, 48

    Answer: Mean = 60.1, Median = 57, Range = 75

Wednesday 3 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 + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 13cm, angle = 68°

    Answer: 144.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 24, 17, 62, 96, 65, 78, 42, 93, 69

    Answer: Mean = 60.7, Median = 65, Range = 79

Thursday 4 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 26cm, angle = 58°

    Answer: 176.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 45, 30, 63, 21, 84, 96, 85

    Answer: Mean = 60.6, Median = 63, Range = 75

Friday 5 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 + 3.2x

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

    Find area of triangle: a = 20cm, b = 27cm, angle = 49°

    Answer: 203.8cm²
  4. 4. Ratio

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

    Answer: 9:6:8
  5. 5. Statistics

    Find the mean, median and range of: 67, 89, 14, 43, 82, 23, 47, 57, 67

    Answer: Mean = 54.3, Median = 57, Range = 75