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Capstone Jun 22 - 28 25 questions
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Monday 22 June 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 30cm, angle = 42°

    Answer: 200.7cm²
  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: 97, 24, 66, 98, 35, 77, 62, 75

    Answer: Mean = 66.8, Median = 75, Range = 74

Tuesday 23 June 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 13cm, b = 20cm, angle = 49°

    Answer: 98.cm²
  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: 47, 67, 27, 67, 30, 11, 80, 47, 24

    Answer: Mean = 44.4, Median = 47, Range = 69

Wednesday 24 June 2020

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 = 30cm, b = 15cm, angle = 50°

    Answer: 172.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 56, 99, 56, 30, 82, 53, 75, 37, 50

    Answer: Mean = 59.8, Median = 56, Range = 69

Thursday 25 June 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 4.8x

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

    Find area of triangle: a = 17cm, b = 18cm, angle = 40°

    Answer: 98.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 97, 82, 34, 97, 43, 47, 59

    Answer: Mean = 65.6, Median = 59, Range = 63

Friday 26 June 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 14cm, angle = 56°

    Answer: 110.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 37, 26, 87, 23, 45, 36, 56

    Answer: Mean = 44.3, Median = 37, Range = 64