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Capstone Sep 20 - 26 25 questions
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Monday 20 September 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√275

    Answer: 15√11
  2. 2. Algebra

    Complete the square: x² - 3x + 11

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

    Find area of triangle: a = 17cm, b = 26cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 150.72cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 8:10:15
  5. 5. Statistics

    Find the mean, median and range of: 41, 17, 18, 91, 88, 77, 67

    Answer: Mean = 57, Median = 67, Range = 74

Tuesday 21 September 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: 3x² - 6x - 12

    Answer: 3(x - 1)² - 15
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 12cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 141.81cm²
  4. 4. Ratio

    a:b is 5:7 and b:c is 3:7. Find a:b:c in its simplest form.

    Answer: 15:21:49
  5. 5. Statistics

    Find the mean, median and range of: 81, 48, 15, 52, 56, 91, 40. Give your answer to 2 decimal places

    Answer: Mean = 54.71, Median = 52, Range = 76

Wednesday 22 September 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: x² + 11x - 6

    Answer: (x + 11⁄2)² - 145⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 24cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 139.89cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 12:10:45
  5. 5. Statistics

    Find the mean, median and range of: 30, 81, 92, 67, 12, 36, 25

    Answer: Mean = 49, Median = 36, Range = 80

Thursday 23 September 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √832

    Answer: 8√13
  2. 2. Algebra

    Complete the square: 5x² + 60x - 4

    Answer: 5(x + 6)² - 184
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 12cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 132.7cm²
  4. 4. Ratio

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

    Answer: 14:63:81
  5. 5. Statistics

    Find the mean, median and range of: 46, 100, 97, 80, 39, 65, 96, 69

    Answer: Mean = 74, Median = 74.5, Range = 61

Friday 24 September 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √216

    Answer: 6√6
  2. 2. Algebra

    Complete the square: 5x² - 20x + 7

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

    Find area of triangle: a = 13cm, b = 26cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 141.74cm²
  4. 4. Ratio

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

    Answer: 16:20:35
  5. 5. Statistics

    Find the mean, median and range of: 31, 88, 36, 25, 93, 24, 40. Give your answer to 2 decimal places

    Answer: Mean = 48.14, Median = 36, Range = 69