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Capstone May 27 - Jun 2 25 questions
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Monday 27 May 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√112

    Answer: 20√7
  2. 2. Algebra

    Complete the square: 2x² - 24x + 12

    Answer: 2(x - 6)² - 60
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 28cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 300.01cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 12:10:45
  5. 5. Statistics

    Find the mean, median and range of: 63, 45, 57, 29, 65, 19, 60, 72

    Answer: Mean = 51.25, Median = 58.5, Range = 53

Tuesday 28 May 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: x² + 5x - 3

    Answer: (x + 5⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 27cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 144.53cm²
  4. 4. Ratio

    a:b is 9:5 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 18:10:5
  5. 5. Statistics

    Find the mean, median and range of: 46, 83, 68, 95, 23, 19, 72, 54

    Answer: Mean = 57.5, Median = 61, Range = 76

Wednesday 29 May 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² - 3x + 2

    Answer: (x - 3⁄2)² - 1⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 22cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 288.18cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 35:30:48
  5. 5. Statistics

    Find the mean, median and range of: 15, 98, 87, 23, 27, 59, 60, 51, 53. Give your answer to 2 decimal places

    Answer: Mean = 52.56, Median = 53, Range = 83

Thursday 30 May 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √160

    Answer: 4√10
  2. 2. Algebra

    Complete the square: x² - 11x - 6

    Answer: (x - 11⁄2)² - 145⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 18cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 98.21cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 20:24:3
  5. 5. Statistics

    Find the mean, median and range of: 50, 99, 19, 26, 11, 75, 96. Give your answer to 2 decimal places

    Answer: Mean = 53.71, Median = 50, Range = 88

Friday 31 May 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √486

    Answer: 9√6
  2. 2. Algebra

    Complete the square: x² + x - 3

    Answer: (x + 1⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 317.02cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 8:72:81
  5. 5. Statistics

    Find the mean, median and range of: 62, 77, 74, 90, 18, 73, 96, 66

    Answer: Mean = 69.5, Median = 73.5, Range = 78