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Capstone Jul 25 - 31 25 questions
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Monday 25 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 15cm, b = 28cm, angle = 73°

    Answer: 200.8cm²
  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: 60, 73, 46, 80, 50, 73, 72

    Answer: Mean = 64.9, Median = 72, Range = 34

Tuesday 26 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 19cm, angle = 66°

    Answer: 208.3cm²
  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: 80, 88, 74, 84, 25, 53, 12, 45

    Answer: Mean = 57.6, Median = 74, Range = 76

Wednesday 27 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 24cm, b = 18cm, angle = 67°

    Answer: 198.8cm²
  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: 42, 20, 83, 35, 20, 22, 58, 81, 73

    Answer: Mean = 48.2, Median = 42, Range = 63

Thursday 28 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 18cm, b = 17cm, angle = 43°

    Answer: 104.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 93, 43, 19, 58, 63, 25, 67, 61

    Answer: Mean = 53.6, Median = 61, Range = 74

Friday 29 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.4x

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

    Find area of triangle: a = 24cm, b = 25cm, angle = 47°

    Answer: 219.4cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 44, 13, 97, 99, 93, 27, 50, 41

    Answer: Mean = 58, Median = 50, Range = 86