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Capstone Jun 17 - 23 25 questions
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Monday 17 June 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 25cm, b = 18cm, angle = 66°

    Answer: 205.5cm²
  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, 52, 46, 43, 86, 63, 79, 95

    Answer: Mean = 63.9, Median = 63, Range = 52

Tuesday 18 June 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 29cm, b = 30cm, angle = 61°

    Answer: 380.5cm²
  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: 73, 18, 99, 62, 52, 22, 100, 37

    Answer: Mean = 57.9, Median = 62, Range = 82

Wednesday 19 June 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 70°

    Answer: 241cm²
  4. 4. Ratio

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

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 49, 12, 34, 75, 66, 61, 69

    Answer: Mean = 52.3, Median = 61, Range = 63

Thursday 20 June 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 16cm, b = 16cm, angle = 47°

    Answer: 93.6cm²
  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: 15, 27, 38, 83, 80, 60, 55, 54, 40

    Answer: Mean = 50.2, Median = 54, Range = 68

Friday 21 June 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 27cm, angle = 76°

    Answer: 288.2cm²
  4. 4. Ratio

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

    Answer: 3:2:6
  5. 5. Statistics

    Find the mean, median and range of: 93, 73, 28, 75, 100, 76, 17

    Answer: Mean = 66, Median = 75, Range = 83