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Capstone Sep 3 - 9 25 questions
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Monday 3 September 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² - x - 1

    Answer: (x - 1⁄2)² - 5⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 111.81cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 36:45:20
  5. 5. Statistics

    Find the mean, median and range of: 84, 27, 98, 98, 99, 86, 88, 24, 14. Give your answer to 2 decimal places

    Answer: Mean = 68.67, Median = 86, Range = 85

Tuesday 4 September 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√80

    Answer: 16√5
  2. 2. Algebra

    Complete the square: 5x² - 50x - 4

    Answer: 5(x - 5)² - 129
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 12cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 168.04cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 3:6:2
  5. 5. Statistics

    Find the mean, median and range of: 33, 70, 72, 81, 32, 23, 52. Give your answer to 2 decimal places

    Answer: Mean = 51.86, Median = 52, Range = 58

Wednesday 5 September 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√150

    Answer: 25√6
  2. 2. Algebra

    Complete the square: x² - 3x - 8

    Answer: (x - 3⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 15cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 123.41cm²
  4. 4. Ratio

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

    Answer: 6:30:5
  5. 5. Statistics

    Find the mean, median and range of: 34, 77, 24, 53, 57, 31, 64, 21, 25. Give your answer to 2 decimal places

    Answer: Mean = 42.89, Median = 34, Range = 56

Thursday 6 September 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² - 5x + 10

    Answer: (x - 5⁄2)² + 15⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 22cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 178.83cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 21:14:18
  5. 5. Statistics

    Find the mean, median and range of: 41, 90, 76, 21, 33, 39, 76, 74, 18

    Answer: Mean = 52, Median = 41, Range = 72

Friday 7 September 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: x² - 9x - 12

    Answer: (x - 9⁄2)² - 129⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 22cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 296.6cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 28:12:3
  5. 5. Statistics

    Find the mean, median and range of: 99, 78, 25, 33, 39, 58, 80. Give your answer to 2 decimal places

    Answer: Mean = 58.86, Median = 58, Range = 74