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Capstone May 13 - 19 25 questions
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Monday 13 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 17cm, angle = 61°

    Answer: 178.4cm²
  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: 34, 31, 63, 26, 16, 50, 26

    Answer: Mean = 35.1, Median = 31, Range = 47

Tuesday 14 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 14cm, angle = 71°

    Answer: 132.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 50, 53, 44, 15, 86, 57, 44, 41, 72

    Answer: Mean = 51.3, Median = 50, Range = 71

Wednesday 15 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 16cm, angle = 42°

    Answer: 80.3cm²
  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: 83, 26, 25, 45, 17, 72, 67, 47

    Answer: Mean = 47.8, Median = 47, Range = 66

Thursday 16 May 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 = 12cm, b = 12cm, angle = 40°

    Answer: 46.3cm²
  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: 66, 31, 22, 93, 33, 88, 82, 20

    Answer: Mean = 54.4, Median = 66, Range = 73

Friday 17 May 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 13cm, b = 18cm, angle = 46°

    Answer: 84.2cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 3:5. Find a:b:c.

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 47, 28, 66, 65, 67, 79, 41, 96

    Answer: Mean = 61.1, Median = 66, Range = 68