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Capstone Jan 14 - 20 25 questions
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Monday 14 January 2019

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 = 25cm, b = 30cm, angle = 43°

    Answer: 255.7cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 85, 81, 40, 38, 10, 89, 26

    Answer: Mean = 52.7, Median = 40, Range = 79

Tuesday 15 January 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 16cm, angle = 56°

    Answer: 119.4cm²
  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: 41, 99, 27, 79, 62, 23, 22

    Answer: Mean = 50.4, Median = 41, Range = 77

Wednesday 16 January 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 23cm, b = 22cm, angle = 58°

    Answer: 214.6cm²
  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: 90, 69, 84, 57, 57, 37, 24, 88, 72

    Answer: Mean = 64.2, Median = 69, Range = 66

Thursday 17 January 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 5.2x

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

    Find area of triangle: a = 19cm, b = 19cm, angle = 57°

    Answer: 151.4cm²
  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: 66, 20, 100, 32, 71, 52, 12, 60, 53

    Answer: Mean = 51.8, Median = 53, Range = 88

Friday 18 January 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 22cm, b = 20cm, angle = 42°

    Answer: 147.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 46, 73, 93, 39, 74, 75, 91

    Answer: Mean = 70.1, Median = 74, Range = 54