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Capstone Aug 15 - 21 25 questions
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Monday 15 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 15cm, angle = 70°

    Answer: 162.cm²
  4. 4. Ratio

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

    Answer: 16:12:9
  5. 5. Statistics

    Find the mean, median and range of: 15, 46, 63, 10, 66, 32, 77, 30, 53

    Answer: Mean = 43.6, Median = 46, Range = 67

Tuesday 16 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 12cm, angle = 53°

    Answer: 71.9cm²
  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: 19, 72, 61, 84, 97, 94, 74, 89, 81

    Answer: Mean = 74.6, Median = 81, Range = 78

Wednesday 17 August 2022

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 = 26cm, b = 18cm, angle = 58°

    Answer: 198.4cm²
  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: 85, 92, 90, 83, 89, 62, 61, 49

    Answer: Mean = 76.4, Median = 85, Range = 43

Thursday 18 August 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 = 22cm, b = 12cm, angle = 72°

    Answer: 125.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 70, 83, 38, 29, 86, 70, 85, 12, 91

    Answer: Mean = 62.7, Median = 70, Range = 79

Friday 19 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 25cm, angle = 44°

    Answer: 225.8cm²
  4. 4. Ratio

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

    Answer: 8:6:12
  5. 5. Statistics

    Find the mean, median and range of: 33, 52, 66, 64, 84, 88, 67

    Answer: Mean = 64.9, Median = 66, Range = 55