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Capstone Jul 9 - 15 25 questions
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Monday 9 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 23cm, angle = 73°

    Answer: 143cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 62, 41, 85, 31, 10, 57, 98

    Answer: Mean = 54.9, Median = 57, Range = 88

Tuesday 10 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 24cm, b = 15cm, angle = 51°

    Answer: 139.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 64, 36, 41, 33, 69, 45, 22

    Answer: Mean = 44.3, Median = 41, Range = 47

Wednesday 11 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 17cm, b = 21cm, angle = 64°

    Answer: 160.4cm²
  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: 46, 23, 52, 42, 32, 53, 36, 43

    Answer: Mean = 40.9, Median = 43, Range = 30

Thursday 12 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√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 = 20cm, b = 20cm, angle = 58°

    Answer: 169.6cm²
  4. 4. Ratio

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

    Answer: 3:4:6
  5. 5. Statistics

    Find the mean, median and range of: 69, 66, 40, 91, 91, 13, 57, 12

    Answer: Mean = 54.9, Median = 66, Range = 79

Friday 13 July 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 21cm, angle = 76°

    Answer: 214cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 98, 86, 12, 31, 19, 32, 10, 97

    Answer: Mean = 48.1, Median = 32, Range = 88