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Capstone May 10 - 16 25 questions
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Monday 10 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 + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 12cm, angle = 68°

    Answer: 72.3cm²
  4. 4. Ratio

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

    Answer: 4:2:6
  5. 5. Statistics

    Find the mean, median and range of: 25, 32, 72, 68, 62, 61, 85, 94

    Answer: Mean = 62.4, Median = 68, Range = 69

Tuesday 11 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 20cm, b = 23cm, angle = 43°

    Answer: 156.9cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 63, 31, 45, 12, 16, 26, 31, 84

    Answer: Mean = 38.5, Median = 31, Range = 72

Wednesday 12 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 + 5.8x

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

    Find area of triangle: a = 13cm, b = 14cm, angle = 43°

    Answer: 62.cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 43, 34, 48, 12, 20, 54, 95, 20, 37

    Answer: Mean = 40.3, Median = 37, Range = 83

Thursday 13 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 = 27cm, b = 25cm, angle = 51°

    Answer: 262.3cm²
  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: 97, 50, 98, 93, 49, 57, 33, 71, 39

    Answer: Mean = 65.2, Median = 57, Range = 65

Friday 14 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 30cm, angle = 64°

    Answer: 296.6cm²
  4. 4. Ratio

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

    Answer: 4:3:6
  5. 5. Statistics

    Find the mean, median and range of: 29, 39, 46, 72, 20, 65, 26, 73

    Answer: Mean = 46.3, Median = 46, Range = 53