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Capstone Nov 23 - 29 25 questions
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Monday 23 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

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

    Find area of triangle: a = 15cm, b = 26cm, angle = 42°

    Answer: 130.5cm²
  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: 82, 54, 42, 82, 88, 21, 13

    Answer: Mean = 54.6, Median = 54, Range = 75

Tuesday 24 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 + 4.8x

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

    Find area of triangle: a = 21cm, b = 22cm, angle = 55°

    Answer: 189.2cm²
  4. 4. Ratio

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

    Answer: 2:4:10
  5. 5. Statistics

    Find the mean, median and range of: 79, 93, 12, 40, 21, 81, 27, 92, 12

    Answer: Mean = 50.8, Median = 40, Range = 81

Wednesday 25 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 22cm, angle = 43°

    Answer: 135cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 10, 53, 67, 22, 22, 40, 45, 80, 89

    Answer: Mean = 47.6, Median = 45, Range = 79

Thursday 26 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 29cm, angle = 78°

    Answer: 226.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 30, 13, 16, 12, 33, 57, 29, 75, 39

    Answer: Mean = 33.8, Median = 30, Range = 63

Friday 27 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 + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 23cm, angle = 48°

    Answer: 128.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 21, 90, 86, 93, 85, 24, 71, 98, 16

    Answer: Mean = 64.9, Median = 85, Range = 82