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Capstone Nov 4 - 10 25 questions
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Monday 4 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 28cm, angle = 60°

    Answer: 194cm²
  4. 4. Ratio

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

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 98, 45, 23, 89, 64, 60, 68

    Answer: Mean = 63.9, Median = 64, Range = 75

Tuesday 5 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 17cm, angle = 69°

    Answer: 142.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 90, 60, 75, 75, 15, 48, 58, 50, 35

    Answer: Mean = 56.2, Median = 58, Range = 75

Wednesday 6 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 28cm, b = 25cm, angle = 45°

    Answer: 247.5cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 11, 39, 31, 93, 15, 44, 24

    Answer: Mean = 36.7, Median = 31, Range = 82

Thursday 7 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 24cm, b = 13cm, angle = 71°

    Answer: 147.5cm²
  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: 69, 88, 87, 59, 86, 52, 70, 73, 74

    Answer: Mean = 73.1, Median = 73, Range = 36

Friday 8 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 27cm, angle = 44°

    Answer: 159.4cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 27, 100, 77, 20, 48, 19, 45

    Answer: Mean = 48, Median = 45, Range = 81