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Capstone Mar 23 - 29 25 questions
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Monday 23 March 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.2x

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

    Find area of triangle: a = 25cm, b = 18cm, angle = 64°

    Answer: 202.2cm²
  4. 4. Ratio

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

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 77, 27, 30, 77, 92, 19, 18, 53, 25

    Answer: Mean = 46.4, Median = 30, Range = 74

Tuesday 24 March 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

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

    Find area of triangle: a = 26cm, b = 30cm, angle = 52°

    Answer: 307.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 25, 75, 100, 38, 54, 15, 70, 27, 19

    Answer: Mean = 47, Median = 38, Range = 85

Wednesday 25 March 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 66°

    Answer: 198.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 96, 52, 45, 78, 21, 60, 90, 55, 10

    Answer: Mean = 56.3, Median = 55, Range = 86

Thursday 26 March 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 28cm, angle = 66°

    Answer: 281.4cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 69, 16, 29, 44, 92, 48, 38, 90

    Answer: Mean = 53.3, Median = 48, Range = 76

Friday 27 March 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 16cm, b = 23cm, angle = 45°

    Answer: 130.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: 30, 100, 57, 79, 37, 70, 30, 65

    Answer: Mean = 58.5, Median = 65, Range = 70