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Capstone Nov 22 - 28 25 questions
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Monday 22 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 29cm, angle = 58°

    Answer: 233.6cm²
  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: 70, 81, 37, 83, 73, 17, 56, 49, 66

    Answer: Mean = 59.1, Median = 66, Range = 66

Tuesday 23 November 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 = 20cm, b = 12cm, angle = 75°

    Answer: 115.9cm²
  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: 56, 32, 84, 27, 73, 20, 24, 39, 27

    Answer: Mean = 42.4, Median = 32, Range = 64

Wednesday 24 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 15cm, angle = 74°

    Answer: 187.4cm²
  4. 4. Ratio

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

    Answer: 3:2:6
  5. 5. Statistics

    Find the mean, median and range of: 25, 49, 60, 88, 72, 48, 93, 52

    Answer: Mean = 60.9, Median = 60, Range = 68

Thursday 25 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 12cm, angle = 72°

    Answer: 142.7cm²
  4. 4. Ratio

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

    Answer: 9:6:8
  5. 5. Statistics

    Find the mean, median and range of: 58, 47, 29, 31, 69, 16, 21, 94, 11

    Answer: Mean = 41.8, Median = 31, Range = 83

Friday 26 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 21cm, angle = 63°

    Answer: 252.6cm²
  4. 4. Ratio

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

    Answer: 2:4:10
  5. 5. Statistics

    Find the mean, median and range of: 61, 33, 57, 14, 35, 53, 45, 76, 49

    Answer: Mean = 47, Median = 49, Range = 62