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Capstone Dec 20 - 26 25 questions
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Monday 20 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √384

    Answer: 8√6
  2. 2. Algebra

    Complete the square: 2x² - 8x + 5

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

    Find area of triangle: a = 24cm, b = 28cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 237.59cm²
  4. 4. Ratio

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

    Answer: 14:35:45
  5. 5. Statistics

    Find the mean, median and range of: 84, 48, 94, 55, 90, 29, 29, 98, 48. Give your answer to 2 decimal places

    Answer: Mean = 63.89, Median = 55, Range = 69

Tuesday 21 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √360

    Answer: 6√10
  2. 2. Algebra

    Complete the square: 3x² + 12x + 2

    Answer: 3(x + 2)² - 10
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 19cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 187.59cm²
  4. 4. Ratio

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

    Answer: 27:45:25
  5. 5. Statistics

    Find the mean, median and range of: 28, 42, 100, 77, 42, 42, 66, 72, 35

    Answer: Mean = 56, Median = 42, Range = 72

Wednesday 22 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√125

    Answer: 15√5
  2. 2. Algebra

    Complete the square: x² + 7x - 9

    Answer: (x + 7⁄2)² - 85⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 27cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 385.18cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 63:56:64
  5. 5. Statistics

    Find the mean, median and range of: 56, 24, 79, 42, 54, 90, 76, 59

    Answer: Mean = 60, Median = 57.5, Range = 66

Thursday 23 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √640

    Answer: 8√10
  2. 2. Algebra

    Complete the square: 3x² - 18x - 14

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

    Find area of triangle: a = 19cm, b = 17cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 143.9cm²
  4. 4. Ratio

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

    Answer: 12:15:20
  5. 5. Statistics

    Find the mean, median and range of: 94, 86, 77, 10, 88, 85, 34, 87, 16. Give your answer to 2 decimal places

    Answer: Mean = 64.11, Median = 85, Range = 84

Friday 24 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√150

    Answer: 20√6
  2. 2. Algebra

    Complete the square: x² + 9x + 9

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

    Find area of triangle: a = 12cm, b = 18cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 94.46cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 28:63:54
  5. 5. Statistics

    Find the mean, median and range of: 37, 48, 76, 63, 69, 60, 36, 17

    Answer: Mean = 50.75, Median = 54, Range = 59