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Capstone May 23 - 29 25 questions
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Monday 23 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 29cm, b = 29cm, angle = 68°

    Answer: 389.9cm²
  4. 4. Ratio

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

    Answer: 9:12:16
  5. 5. Statistics

    Find the mean, median and range of: 32, 36, 25, 58, 77, 58, 47, 99, 65

    Answer: Mean = 55.2, Median = 58, Range = 74

Tuesday 24 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 18cm, angle = 76°

    Answer: 235.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 73, 16, 20, 52, 94, 67, 69

    Answer: Mean = 55.9, Median = 67, Range = 78

Wednesday 25 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 18cm, b = 12cm, angle = 51°

    Answer: 83.9cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 78, 69, 77, 26, 88, 70, 68, 56

    Answer: Mean = 66.5, Median = 70, Range = 62

Thursday 26 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 19cm, angle = 51°

    Answer: 118.cm²
  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: 95, 83, 21, 63, 58, 45, 87

    Answer: Mean = 64.6, Median = 63, Range = 74

Friday 27 May 2022

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 = 15cm, b = 21cm, angle = 64°

    Answer: 141.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 97, 95, 46, 85, 28, 39, 38, 29

    Answer: Mean = 57.1, Median = 46, Range = 69