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Capstone Jul 20 - 26 25 questions
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Monday 20 July 2020

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 = 18cm, angle = 71°

    Answer: 255.3cm²
  4. 4. Ratio

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

    Answer: 4:2:3
  5. 5. Statistics

    Find the mean, median and range of: 13, 20, 62, 61, 61, 85, 63, 89, 73

    Answer: Mean = 58.6, Median = 62, Range = 76

Tuesday 21 July 2020

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 = 20cm, b = 30cm, angle = 75°

    Answer: 289.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 39, 67, 80, 26, 87, 80, 98

    Answer: Mean = 68.1, Median = 80, Range = 72

Wednesday 22 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 15cm, b = 12cm, angle = 71°

    Answer: 85.cm²
  4. 4. Ratio

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

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 52, 81, 52, 35, 15, 48, 18, 57, 39

    Answer: Mean = 44.1, Median = 48, Range = 66

Thursday 23 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 25cm, angle = 77°

    Answer: 353.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 63, 28, 95, 17, 52, 98, 13, 94, 60

    Answer: Mean = 57.8, Median = 60, Range = 85

Friday 24 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 15cm, b = 27cm, angle = 69°

    Answer: 189.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 46, 41, 47, 55, 31, 45, 46

    Answer: Mean = 44.4, Median = 46, Range = 24