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Capstone May 3 - 9 25 questions
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Monday 3 May 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√150

    Answer: 15√6
  2. 2. Algebra

    Complete the square: x² + x + 5

    Answer: (x + 1⁄2)² + 19⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 20cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 167.28cm²
  4. 4. Ratio

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

    Answer: 35:45:54
  5. 5. Statistics

    Find the mean, median and range of: 15, 47, 14, 91, 45, 90, 40, 95, 47. Give your answer to 2 decimal places

    Answer: Mean = 53.78, Median = 47, Range = 81

Tuesday 4 May 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √350

    Answer: 5√14
  2. 2. Algebra

    Complete the square: x² + x - 12

    Answer: (x + 1⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 28cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 230.21cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 4:7. Find a:b:c in its simplest form.

    Answer: 10:12:21
  5. 5. Statistics

    Find the mean, median and range of: 36, 32, 95, 35, 65, 91, 67, 24, 41

    Answer: Mean = 54, Median = 41, Range = 71

Wednesday 5 May 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √160

    Answer: 4√10
  2. 2. Algebra

    Complete the square: x² + 9x + 9

    Answer: (x + 9⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 22cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 214.36cm²
  4. 4. Ratio

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

    Answer: 9:18:2
  5. 5. Statistics

    Find the mean, median and range of: 51, 98, 11, 76, 67, 47, 30, 83, 62. Give your answer to 2 decimal places

    Answer: Mean = 58.33, Median = 62, Range = 87

Thursday 6 May 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: x² + 7x + 7

    Answer: (x + 7⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 12cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 152.59cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 5:7. Find a:b:c in its simplest form.

    Answer: 45:10:14
  5. 5. Statistics

    Find the mean, median and range of: 29, 30, 77, 50, 98, 57, 48, 98. Give your answer to 2 decimal places

    Answer: Mean = 60.88, Median = 53.5, Range = 69

Friday 7 May 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √720

    Answer: 12√5
  2. 2. Algebra

    Complete the square: x² - 9x + 9

    Answer: (x - 9⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 304.62cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 2:7. Find a:b:c in its simplest form.

    Answer: 8:6:21
  5. 5. Statistics

    Find the mean, median and range of: 61, 77, 79, 70, 90, 18, 57, 61, 10. Give your answer to 2 decimal places

    Answer: Mean = 58.11, Median = 61, Range = 80