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Capstone Mar 4 - 10 25 questions
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Monday 4 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 = 17cm, b = 25cm, angle = 62°

    Answer: 187.6cm²
  4. 4. Ratio

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

    Answer: 8:6:18
  5. 5. Statistics

    Find the mean, median and range of: 81, 11, 41, 10, 76, 34, 45

    Answer: Mean = 42.6, Median = 41, Range = 71

Tuesday 5 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 27cm, angle = 68°

    Answer: 312.9cm²
  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: 38, 41, 33, 54, 68, 92, 63, 68

    Answer: Mean = 57.1, Median = 63, Range = 59

Wednesday 6 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 + 6x

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

    Find area of triangle: a = 29cm, b = 16cm, angle = 53°

    Answer: 185.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 91, 35, 87, 67, 97, 63, 50, 96

    Answer: Mean = 73.3, Median = 87, Range = 62

Thursday 7 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 21cm, b = 21cm, angle = 56°

    Answer: 182.8cm²
  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: 50, 53, 21, 28, 21, 84, 70

    Answer: Mean = 46.7, Median = 50, Range = 63

Friday 8 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 + 3.4x

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

    Find area of triangle: a = 16cm, b = 21cm, angle = 74°

    Answer: 161.5cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 84, 80, 71, 10, 29, 20, 58, 95, 81

    Answer: Mean = 58.7, Median = 71, Range = 85