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Capstone Mar 18 - 24 25 questions
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Monday 18 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 18cm, b = 18cm, angle = 79°

    Answer: 159cm²
  4. 4. Ratio

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

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 57, 89, 44, 12, 12, 15, 73, 15, 17

    Answer: Mean = 37.1, Median = 17, Range = 77

Tuesday 19 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 14cm, angle = 61°

    Answer: 110.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 29, 28, 12, 29, 92, 62, 11, 36

    Answer: Mean = 37.4, Median = 29, Range = 81

Wednesday 20 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 17cm, angle = 65°

    Answer: 161.8cm²
  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: 24, 83, 55, 15, 20, 84, 33, 17, 63

    Answer: Mean = 43.8, Median = 33, Range = 69

Thursday 21 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 30cm, angle = 79°

    Answer: 397.6cm²
  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: 42, 27, 41, 92, 53, 29, 26, 40, 43

    Answer: Mean = 43.7, Median = 41, Range = 66

Friday 22 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 26cm, angle = 69°

    Answer: 157.8cm²
  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: 90, 17, 68, 44, 28, 93, 37, 69, 24

    Answer: Mean = 52.2, Median = 44, Range = 76