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Capstone Apr 6 - 12 25 questions
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Monday 6 April 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 27cm, b = 30cm, angle = 77°

    Answer: 394.6cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 31, 16, 60, 45, 31, 77, 48

    Answer: Mean = 44, Median = 45, Range = 61

Tuesday 7 April 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 12cm, b = 19cm, angle = 78°

    Answer: 111.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 48, 26, 26, 17, 82, 17, 95, 90, 23

    Answer: Mean = 47.1, Median = 26, Range = 78

Wednesday 8 April 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 23cm, b = 22cm, angle = 60°

    Answer: 219.cm²
  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: 17, 66, 41, 51, 55, 21, 39, 73

    Answer: Mean = 45.4, Median = 51, Range = 56

Thursday 9 April 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 5.4x

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

    Find area of triangle: a = 30cm, b = 13cm, angle = 63°

    Answer: 173.7cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 4:5. Find a:b:c.

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 69, 80, 22, 75, 25, 88, 17

    Answer: Mean = 53.7, Median = 69, Range = 71

Friday 10 April 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√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 = 30cm, b = 15cm, angle = 41°

    Answer: 147.6cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 97, 87, 37, 27, 94, 41, 46, 65

    Answer: Mean = 61.8, Median = 65, Range = 70