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Capstone Aug 26 - Sep 1 25 questions
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Monday 26 August 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 24cm, angle = 49°

    Answer: 154cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 15, 94, 77, 28, 33, 38, 28, 17

    Answer: Mean = 41.3, Median = 33, Range = 79

Tuesday 27 August 2019

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 = 15cm, b = 29cm, angle = 44°

    Answer: 151.cm²
  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: 83, 46, 90, 87, 94, 95, 56

    Answer: Mean = 78.7, Median = 87, Range = 49

Wednesday 28 August 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 14cm, angle = 66°

    Answer: 166.3cm²
  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: 49, 94, 14, 55, 78, 13, 75, 10

    Answer: Mean = 48.5, Median = 55, Range = 84

Thursday 29 August 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 3.4x

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

    Find area of triangle: a = 24cm, b = 17cm, angle = 79°

    Answer: 200.3cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 3:4. Find a:b:c.

    Answer: 12:6:8
  5. 5. Statistics

    Find the mean, median and range of: 59, 49, 71, 91, 65, 89, 38, 89

    Answer: Mean = 68.9, Median = 71, Range = 53

Friday 30 August 2019

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 = 17cm, b = 19cm, angle = 52°

    Answer: 127.3cm²
  4. 4. Ratio

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

    Answer: 12:6:12
  5. 5. Statistics

    Find the mean, median and range of: 36, 83, 18, 66, 49, 62, 50, 47, 89

    Answer: Mean = 55.6, Median = 50, Range = 71