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Capstone Apr 11 - 17 25 questions
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Monday 11 April 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² - 7x - 3

    Answer: (x - 7⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 20cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 251.66cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 43, 19, 43, 39, 66, 81, 33, 69, 98. Give your answer to 2 decimal places

    Answer: Mean = 54.56, Median = 43, Range = 79

Tuesday 12 April 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √504

    Answer: 6√14
  2. 2. Algebra

    Complete the square: 2x² + 24x - 8

    Answer: 2(x + 6)² - 80
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 27cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 286.38cm²
  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: 90, 55, 73, 46, 37, 45, 32

    Answer: Mean = 54, Median = 46, Range = 58

Wednesday 13 April 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √96

    Answer: 4√6
  2. 2. Algebra

    Complete the square: 5x² - 30x - 15

    Answer: 5(x - 3)² - 60
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 17cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 162.78cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 12:15:5
  5. 5. Statistics

    Find the mean, median and range of: 89, 89, 73, 96, 70, 92, 41, 97. Give your answer to 2 decimal places

    Answer: Mean = 80.88, Median = 89, Range = 56

Thursday 14 April 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √726

    Answer: 11√6
  2. 2. Algebra

    Complete the square: x² - 7x + 6

    Answer: (x - 7⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 29cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 201.49cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 35:14:10
  5. 5. Statistics

    Find the mean, median and range of: 57, 46, 31, 63, 74, 91, 55, 81

    Answer: Mean = 62.25, Median = 60, Range = 60

Friday 15 April 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√20

    Answer: 10√5
  2. 2. Algebra

    Complete the square: 2x² + 8x + 1

    Answer: 2(x + 2)² - 7
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 20cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 179.65cm²
  4. 4. Ratio

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

    Answer: 4:10:45
  5. 5. Statistics

    Find the mean, median and range of: 27, 86, 85, 52, 94, 62, 11, 60, 63

    Answer: Mean = 60, Median = 62, Range = 83