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Capstone Apr 8 - 14 25 questions
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Monday 8 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 16cm, b = 13cm, angle = 45°

    Answer: 73.5cm²
  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: 78, 83, 60, 36, 68, 31, 94

    Answer: Mean = 64.3, Median = 68, Range = 63

Tuesday 9 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 30cm, b = 25cm, angle = 66°

    Answer: 342.6cm²
  4. 4. Ratio

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

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 94, 49, 79, 16, 63, 94, 11, 71

    Answer: Mean = 59.6, Median = 71, Range = 83

Wednesday 10 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 14cm, angle = 75°

    Answer: 108.2cm²
  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: 16, 94, 22, 46, 48, 71, 93, 83, 48

    Answer: Mean = 57.9, Median = 48, Range = 78

Thursday 11 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 22cm, angle = 42°

    Answer: 95.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 10, 95, 65, 39, 82, 43, 82, 56, 61

    Answer: Mean = 59.2, Median = 61, Range = 85

Friday 12 April 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 17cm, b = 16cm, angle = 65°

    Answer: 123.3cm²
  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: 26, 28, 61, 12, 19, 12, 37, 63

    Answer: Mean = 32.3, Median = 28, Range = 51