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Capstone Sep 6 - 12 25 questions
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Monday 6 September 2021

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 = 14cm, b = 25cm, angle = 51°

    Answer: 136cm²
  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: 72, 94, 31, 33, 42, 48, 20, 46, 54

    Answer: Mean = 48.9, Median = 46, Range = 74

Tuesday 7 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 28cm, angle = 72°

    Answer: 186.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 43, 11, 66, 15, 15, 59, 26, 30

    Answer: Mean = 33.1, Median = 30, Range = 55

Wednesday 8 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 22cm, b = 25cm, angle = 40°

    Answer: 176.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 72, 18, 91, 86, 26, 63, 55

    Answer: Mean = 58.7, Median = 63, Range = 73

Thursday 9 September 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 = 25cm, b = 13cm, angle = 52°

    Answer: 128.cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:5. Find a:b:c.

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 42, 97, 52, 67, 95, 25, 41, 57

    Answer: Mean = 59.5, Median = 57, Range = 72

Friday 10 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 14cm, b = 16cm, angle = 73°

    Answer: 107.cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:4. Find a:b:c.

    Answer: 6:12:16
  5. 5. Statistics

    Find the mean, median and range of: 67, 79, 80, 68, 90, 97, 39, 59, 44

    Answer: Mean = 69.2, Median = 68, Range = 58