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Capstone Apr 5 - 11 25 questions
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Monday 5 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 22cm, angle = 60°

    Answer: 219.cm²
  4. 4. Ratio

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

    Answer: 6:12:24
  5. 5. Statistics

    Find the mean, median and range of: 28, 41, 77, 93, 91, 75, 72

    Answer: Mean = 68.1, Median = 75, Range = 65

Tuesday 6 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 12cm, b = 15cm, angle = 58°

    Answer: 76.3cm²
  4. 4. Ratio

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

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 64, 56, 88, 81, 70, 34, 100, 69

    Answer: Mean = 70.3, Median = 70, Range = 66

Wednesday 7 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 21cm, angle = 64°

    Answer: 235.9cm²
  4. 4. Ratio

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

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 55, 13, 28, 13, 66, 38, 87, 98

    Answer: Mean = 49.8, Median = 55, Range = 85

Thursday 8 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 21cm, angle = 43°

    Answer: 114.6cm²
  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: 83, 37, 66, 66, 65, 20, 17, 11, 79

    Answer: Mean = 49.3, Median = 65, Range = 72

Friday 9 April 2021

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 = 27cm, b = 24cm, angle = 77°

    Answer: 315.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 32, 36, 59, 27, 90, 14, 96, 43, 67

    Answer: Mean = 51.6, Median = 43, Range = 82