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Capstone Oct 7 - 13 25 questions
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Monday 7 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 22cm, b = 27cm, angle = 52°

    Answer: 234cm²
  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: 85, 60, 84, 95, 59, 12, 18

    Answer: Mean = 59, Median = 60, Range = 83

Tuesday 8 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 25cm, b = 24cm, angle = 79°

    Answer: 294.5cm²
  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: 19, 72, 21, 22, 89, 78, 26

    Answer: Mean = 46.7, Median = 26, Range = 70

Wednesday 9 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 14cm, angle = 66°

    Answer: 134.3cm²
  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, 80, 10, 34, 63, 23, 57, 22

    Answer: Mean = 42.4, Median = 50, Range = 70

Thursday 10 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 16cm, angle = 60°

    Answer: 194cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 55, 44, 40, 19, 75, 73, 93, 51, 48

    Answer: Mean = 55.3, Median = 51, Range = 74

Friday 11 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 21cm, b = 18cm, angle = 75°

    Answer: 182.6cm²
  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: 94, 85, 91, 99, 22, 26, 66, 61

    Answer: Mean = 68, Median = 85, Range = 77