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Capstone May 30 - Jun 5 25 questions
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Monday 30 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + x + 9

    Answer: (x + 1⁄2)² + 35⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 27cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 260.41cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 8:12:27
  5. 5. Statistics

    Find the mean, median and range of: 33, 31, 96, 95, 15, 91, 27, 44, 73. Give your answer to 2 decimal places

    Answer: Mean = 56.11, Median = 44, Range = 81

Tuesday 31 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√24

    Answer: 6√6
  2. 2. Algebra

    Complete the square: x² + 5x - 9

    Answer: (x + 5⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 29cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 191.94cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 15:10:4
  5. 5. Statistics

    Find the mean, median and range of: 73, 31, 69, 55, 93, 90, 28, 69, 34. Give your answer to 2 decimal places

    Answer: Mean = 60.22, Median = 69, Range = 65

Wednesday 1 June 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √352

    Answer: 4√22
  2. 2. Algebra

    Complete the square: 2x² + 12x - 13

    Answer: 2(x + 3)² - 31
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 28cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 165.33cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 32:40:25
  5. 5. Statistics

    Find the mean, median and range of: 12, 88, 93, 75, 79, 14, 84. Give your answer to 2 decimal places

    Answer: Mean = 63.57, Median = 79, Range = 81

Thursday 2 June 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√44

    Answer: 4√11
  2. 2. Algebra

    Complete the square: 5x² - 60x - 6

    Answer: 5(x - 6)² - 186
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 17cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 147.54cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 35:63:54
  5. 5. Statistics

    Find the mean, median and range of: 10, 13, 18, 11, 36, 60, 98, 52, 30. Give your answer to 2 decimal places

    Answer: Mean = 36.44, Median = 30, Range = 88

Friday 3 June 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √360

    Answer: 6√10
  2. 2. Algebra

    Complete the square: x² + 5x + 3

    Answer: (x + 5⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 13cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 96.02cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 40:24:27
  5. 5. Statistics

    Find the mean, median and range of: 82, 91, 37, 54, 27, 22, 92, 42, 41. Give your answer to 2 decimal places

    Answer: Mean = 54.22, Median = 42, Range = 70