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Capstone Jun 10 - 16 25 questions
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Monday 10 June 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 21cm, b = 12cm, angle = 66°

    Answer: 115.cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 77, 21, 92, 68, 64, 73, 61, 17, 27

    Answer: Mean = 55.6, Median = 64, Range = 75

Tuesday 11 June 2019

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 = 22cm, b = 20cm, angle = 45°

    Answer: 155.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 31, 96, 97, 32, 62, 31, 78, 83

    Answer: Mean = 63.8, Median = 78, Range = 66

Wednesday 12 June 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 29cm, angle = 76°

    Answer: 225.cm²
  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: 44, 62, 73, 47, 34, 87, 48

    Answer: Mean = 56.4, Median = 48, Range = 53

Thursday 13 June 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 4.6x

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

    Find area of triangle: a = 14cm, b = 14cm, angle = 66°

    Answer: 89.5cm²
  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: 40, 88, 56, 62, 94, 66, 44

    Answer: Mean = 64.3, Median = 62, Range = 54

Friday 14 June 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 17cm, b = 23cm, angle = 43°

    Answer: 133.3cm²
  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: 29, 56, 23, 51, 13, 61, 51, 21

    Answer: Mean = 38.1, Median = 51, Range = 48