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Capstone Mar 15 - 21 25 questions
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Monday 15 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 27cm, angle = 67°

    Answer: 198.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 76, 58, 96, 73, 36, 75, 90, 62, 25

    Answer: Mean = 65.7, Median = 73, Range = 71

Tuesday 16 March 2021

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 = 23cm, b = 21cm, angle = 58°

    Answer: 204.8cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 20, 58, 73, 44, 10, 78, 40, 91, 20

    Answer: Mean = 48.2, Median = 44, Range = 81

Wednesday 17 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  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 = 16cm, angle = 44°

    Answer: 111.cm²
  4. 4. Ratio

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

    Answer: 2:4:12
  5. 5. Statistics

    Find the mean, median and range of: 61, 23, 66, 31, 59, 50, 41, 19

    Answer: Mean = 43.8, Median = 50, Range = 47

Thursday 18 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 29cm, b = 12cm, angle = 59°

    Answer: 149.cm²
  4. 4. Ratio

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

    Answer: 4:2:6
  5. 5. Statistics

    Find the mean, median and range of: 67, 30, 51, 25, 75, 74, 52, 92

    Answer: Mean = 58.3, Median = 67, Range = 67

Friday 19 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 24cm, angle = 66°

    Answer: 197.3cm²
  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: 22, 14, 79, 50, 48, 27, 87, 10, 68

    Answer: Mean = 45, Median = 48, Range = 77