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Capstone Jul 1 - 7 25 questions
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Monday 1 July 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  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 = 13cm, angle = 51°

    Answer: 111.cm²
  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: 92, 81, 88, 82, 25, 94, 16

    Answer: Mean = 68.3, Median = 82, Range = 78

Tuesday 2 July 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 23cm, b = 13cm, angle = 46°

    Answer: 107.5cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 17, 36, 36, 78, 37, 54, 98

    Answer: Mean = 50.9, Median = 37, Range = 81

Wednesday 3 July 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 26cm, angle = 68°

    Answer: 337.5cm²
  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: 100, 19, 49, 32, 89, 96, 11, 42

    Answer: Mean = 54.8, Median = 49, Range = 89

Thursday 4 July 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 21cm, b = 16cm, angle = 44°

    Answer: 116.7cm²
  4. 4. Ratio

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

    Answer: 6:12:16
  5. 5. Statistics

    Find the mean, median and range of: 10, 85, 26, 80, 29, 91, 39

    Answer: Mean = 51.4, Median = 39, Range = 81

Friday 5 July 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 16cm, angle = 47°

    Answer: 134.6cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 72, 82, 84, 12, 81, 12, 74, 85

    Answer: Mean = 62.8, Median = 81, Range = 73