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Capstone Feb 15 - 21 25 questions
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Monday 15 February 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 13cm, b = 23cm, angle = 44°

    Answer: 103.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 86, 86, 71, 37, 35, 99, 57, 17, 57

    Answer: Mean = 60.6, Median = 57, Range = 82

Tuesday 16 February 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 23cm, angle = 68°

    Answer: 298.6cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 86, 69, 11, 23, 13, 63, 11, 35

    Answer: Mean = 38.9, Median = 35, Range = 75

Wednesday 17 February 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 29cm, angle = 43°

    Answer: 187.9cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 22, 75, 75, 30, 39, 26, 44

    Answer: Mean = 44.4, Median = 39, Range = 53

Thursday 18 February 2021

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 = 14cm, b = 26cm, angle = 56°

    Answer: 150.9cm²
  4. 4. Ratio

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

    Answer: 9:12:20
  5. 5. Statistics

    Find the mean, median and range of: 60, 22, 100, 80, 60, 63, 35, 11

    Answer: Mean = 53.9, Median = 60, Range = 89

Friday 19 February 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 20cm, b = 16cm, angle = 58°

    Answer: 135.7cm²
  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: 49, 76, 60, 38, 54, 93, 68

    Answer: Mean = 62.6, Median = 60, Range = 55