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Capstone Sep 9 - 15 25 questions
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Monday 9 September 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 17cm, b = 20cm, angle = 54°

    Answer: 137.5cm²
  4. 4. Ratio

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

    Answer: 8:6:9
  5. 5. Statistics

    Find the mean, median and range of: 50, 98, 12, 58, 42, 97, 97

    Answer: Mean = 64.9, Median = 58, Range = 86

Tuesday 10 September 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 25cm, b = 28cm, angle = 62°

    Answer: 309cm²
  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: 76, 44, 65, 75, 75, 18, 26, 97

    Answer: Mean = 59.5, Median = 75, Range = 79

Wednesday 11 September 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√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 = 14cm, b = 28cm, angle = 50°

    Answer: 150.cm²
  4. 4. Ratio

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

    Answer: 8:6:12
  5. 5. Statistics

    Find the mean, median and range of: 45, 66, 31, 92, 48, 45, 20, 89, 86

    Answer: Mean = 58, Median = 48, Range = 72

Thursday 12 September 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 = 20cm, b = 13cm, angle = 45°

    Answer: 91.9cm²
  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: 16, 29, 95, 66, 60, 93, 80

    Answer: Mean = 62.7, Median = 66, Range = 79

Friday 13 September 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 19cm, angle = 53°

    Answer: 227.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 30, 56, 39, 26, 98, 90, 95, 70, 30

    Answer: Mean = 59.3, Median = 56, Range = 72