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Capstone Nov 21 - 27 25 questions
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Monday 21 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 27cm, angle = 57°

    Answer: 283.cm²
  4. 4. Ratio

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

    Answer: 8:4:6
  5. 5. Statistics

    Find the mean, median and range of: 92, 55, 83, 66, 85, 23, 75, 100, 67

    Answer: Mean = 71.8, Median = 75, Range = 77

Tuesday 22 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 24cm, b = 15cm, angle = 64°

    Answer: 161.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 16, 76, 98, 52, 84, 15, 19

    Answer: Mean = 51.4, Median = 52, Range = 83

Wednesday 23 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 24cm, b = 14cm, angle = 52°

    Answer: 132.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 84, 93, 66, 96, 26, 34, 55, 56

    Answer: Mean = 63.8, Median = 66, Range = 70

Thursday 24 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 4.2x

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

    Find area of triangle: a = 14cm, b = 28cm, angle = 44°

    Answer: 136.2cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 54, 92, 25, 30, 95, 16, 10, 91, 100

    Answer: Mean = 57, Median = 54, Range = 90

Friday 25 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 30cm, b = 26cm, angle = 52°

    Answer: 307.3cm²
  4. 4. Ratio

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

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 50, 99, 13, 84, 69, 48, 24, 39

    Answer: Mean = 53.3, Median = 50, Range = 86