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Capstone Nov 16 - 22 25 questions
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Monday 16 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 19cm, b = 28cm, angle = 79°

    Answer: 261.cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 81, 83, 80, 81, 72, 66, 31, 18

    Answer: Mean = 64, Median = 80, Range = 65

Tuesday 17 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 17cm, b = 12cm, angle = 75°

    Answer: 98.5cm²
  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: 70, 19, 35, 41, 63, 59, 10

    Answer: Mean = 42.4, Median = 41, Range = 60

Wednesday 18 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 23cm, b = 12cm, angle = 69°

    Answer: 128.8cm²
  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: 71, 71, 63, 54, 25, 99, 63

    Answer: Mean = 63.7, Median = 63, Range = 74

Thursday 19 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 21cm, angle = 79°

    Answer: 154.6cm²
  4. 4. Ratio

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

    Answer: 4:3:6
  5. 5. Statistics

    Find the mean, median and range of: 38, 46, 54, 65, 74, 27, 41, 38, 25

    Answer: Mean = 45.3, Median = 41, Range = 49

Friday 20 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 15cm, b = 22cm, angle = 78°

    Answer: 161.4cm²
  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, 48, 31, 98, 34, 46, 85, 22

    Answer: Mean = 46.9, Median = 46, Range = 87