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Capstone May 17 - 23 25 questions
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Monday 17 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 19cm, b = 18cm, angle = 44°

    Answer: 118.8cm²
  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: 92, 23, 17, 40, 87, 59, 24, 37

    Answer: Mean = 47.4, Median = 40, Range = 75

Tuesday 18 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 28cm, b = 30cm, angle = 48°

    Answer: 312.cm²
  4. 4. Ratio

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

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 14, 92, 67, 63, 59, 80, 17, 79

    Answer: Mean = 58.9, Median = 67, Range = 78

Wednesday 19 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 26cm, angle = 66°

    Answer: 261.3cm²
  4. 4. Ratio

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

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 54, 23, 74, 60, 68, 76, 27, 83, 52

    Answer: Mean = 57.4, Median = 60, Range = 60

Thursday 20 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4.2x

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

    Find area of triangle: a = 15cm, b = 14cm, angle = 77°

    Answer: 102.3cm²
  4. 4. Ratio

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

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 50, 79, 29, 72, 36, 92, 24, 90, 39

    Answer: Mean = 56.8, Median = 50, Range = 68

Friday 21 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 20cm, b = 14cm, angle = 42°

    Answer: 93.7cm²
  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: 89, 35, 53, 99, 39, 69, 65, 48

    Answer: Mean = 62.1, Median = 65, Range = 64