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Capstone Dec 6 - 12 25 questions
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Monday 6 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 27cm, b = 12cm, angle = 41°

    Answer: 106.3cm²
  4. 4. Ratio

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

    Answer: 2:4:8
  5. 5. Statistics

    Find the mean, median and range of: 64, 92, 42, 55, 73, 58, 75, 49, 97

    Answer: Mean = 67.2, Median = 64, Range = 55

Tuesday 7 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 23cm, angle = 53°

    Answer: 266.3cm²
  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: 93, 73, 34, 84, 76, 55, 96, 77

    Answer: Mean = 73.5, Median = 77, Range = 62

Wednesday 8 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 12cm, b = 12cm, angle = 40°

    Answer: 46.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 91, 39, 31, 75, 25, 78, 58, 41, 68

    Answer: Mean = 56.2, Median = 58, Range = 66

Thursday 9 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 21cm, b = 25cm, angle = 71°

    Answer: 248.2cm²
  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: 22, 84, 48, 62, 90, 70, 97

    Answer: Mean = 67.6, Median = 70, Range = 75

Friday 10 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 27cm, b = 23cm, angle = 56°

    Answer: 257.4cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 57, 17, 47, 20, 36, 27, 96, 65, 73

    Answer: Mean = 48.7, Median = 47, Range = 79