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Capstone Nov 18 - 24 25 questions
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Monday 18 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 30cm, b = 15cm, angle = 72°

    Answer: 214cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 38, 13, 94, 49, 86, 71, 27

    Answer: Mean = 54, Median = 49, Range = 81

Tuesday 19 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 27cm, b = 19cm, angle = 66°

    Answer: 234.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 85, 37, 24, 38, 41, 39, 96, 83

    Answer: Mean = 55.4, Median = 41, Range = 72

Wednesday 20 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

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

    Find area of triangle: a = 30cm, b = 12cm, angle = 59°

    Answer: 154.3cm²
  4. 4. Ratio

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

    Answer: 8:4:3
  5. 5. Statistics

    Find the mean, median and range of: 23, 82, 63, 27, 98, 61, 20

    Answer: Mean = 53.4, Median = 61, Range = 78

Thursday 21 November 2019

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 = 22cm, b = 24cm, angle = 80°

    Answer: 260cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 22, 22, 22, 89, 50, 93, 46

    Answer: Mean = 49.1, Median = 46, Range = 71

Friday 22 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  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 3:5. Find a:b:c.

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

    Find the mean, median and range of: 67, 80, 10, 28, 59, 42, 99, 29, 53

    Answer: Mean = 51.9, Median = 53, Range = 89