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Capstone Mar 14 - 20 25 questions
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Monday 14 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 21cm, b = 14cm, angle = 53°

    Answer: 117.4cm²
  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: 98, 54, 10, 49, 65, 85, 31, 14

    Answer: Mean = 50.8, Median = 54, Range = 88

Tuesday 15 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 20cm, b = 15cm, angle = 67°

    Answer: 138.cm²
  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: 32, 31, 92, 13, 83, 46, 69, 90, 18

    Answer: Mean = 52.7, Median = 46, Range = 79

Wednesday 16 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 27cm, angle = 57°

    Answer: 135.9cm²
  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: 19, 57, 79, 56, 19, 42, 11

    Answer: Mean = 40.4, Median = 42, Range = 68

Thursday 17 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 19cm, angle = 70°

    Answer: 160.7cm²
  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: 34, 41, 92, 81, 84, 56, 42, 15, 52

    Answer: Mean = 55.2, Median = 52, Range = 77

Friday 18 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 29cm, angle = 48°

    Answer: 323.3cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:5. Find a:b:c.

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 95, 19, 14, 36, 52, 78, 18, 69, 57

    Answer: Mean = 48.7, Median = 52, Range = 81