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Capstone Mar 25 - 31 25 questions
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Monday 25 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

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

    Answer: 128.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 32, 82, 20, 85, 35, 63, 36, 22

    Answer: Mean = 46.9, Median = 36, Range = 65

Tuesday 26 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 21cm, b = 14cm, angle = 69°

    Answer: 137.2cm²
  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: 30, 63, 57, 44, 43, 18, 24, 74

    Answer: Mean = 44.1, Median = 44, Range = 56

Wednesday 27 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 + 3x

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

    Find area of triangle: a = 27cm, b = 16cm, angle = 54°

    Answer: 174.7cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 66, 96, 100, 95, 73, 95, 87, 14

    Answer: Mean = 78.3, Median = 95, Range = 86

Thursday 28 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 19cm, b = 18cm, angle = 54°

    Answer: 138.3cm²
  4. 4. Ratio

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

    Answer: 2:3:4
  5. 5. Statistics

    Find the mean, median and range of: 92, 44, 93, 46, 81, 100, 86, 69

    Answer: Mean = 76.4, Median = 86, Range = 56

Friday 29 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 25cm, b = 21cm, angle = 42°

    Answer: 175.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 77, 70, 79, 18, 47, 69, 26

    Answer: Mean = 55.1, Median = 69, Range = 61