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Capstone Oct 11 - 17 25 questions
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Monday 11 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√90

    Answer: 12√10
  2. 2. Algebra

    Complete the square: x² - 11x + 8

    Answer: (x - 11⁄2)² - 89⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 27cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 234.34cm²
  4. 4. Ratio

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

    Answer: 18:14:63
  5. 5. Statistics

    Find the mean, median and range of: 17, 41, 79, 42, 19, 76, 82, 62, 82. Give your answer to 2 decimal places

    Answer: Mean = 55.56, Median = 62, Range = 65

Tuesday 12 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√176

    Answer: 8√11
  2. 2. Algebra

    Complete the square: 5x² + 20x - 9

    Answer: 5(x + 2)² - 29
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 15cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 149.38cm²
  4. 4. Ratio

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

    Answer: 16:28:21
  5. 5. Statistics

    Find the mean, median and range of: 21, 49, 43, 40, 30, 68, 34, 73

    Answer: Mean = 44.75, Median = 41.5, Range = 52

Wednesday 13 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3x + 10

    Answer: (x + 3⁄2)² + 31⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 27cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 236.15cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 35:45:9
  5. 5. Statistics

    Find the mean, median and range of: 94, 55, 76, 67, 91, 40, 87, 40

    Answer: Mean = 68.75, Median = 71.5, Range = 54

Thursday 14 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √275

    Answer: 5√11
  2. 2. Algebra

    Complete the square: 5x² - 10x - 1

    Answer: 5(x - 1)² - 6
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 24cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 323.57cm²
  4. 4. Ratio

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

    Answer: 35:10:4
  5. 5. Statistics

    Find the mean, median and range of: 61, 46, 85, 82, 90, 61, 45, 45. Give your answer to 2 decimal places

    Answer: Mean = 64.38, Median = 61, Range = 45

Friday 15 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√125

    Answer: 15√5
  2. 2. Algebra

    Complete the square: 2x² - 8x + 2

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

    Find area of triangle: a = 26cm, b = 14cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 126.43cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 5:20:32
  5. 5. Statistics

    Find the mean, median and range of: 41, 60, 30, 83, 55, 76, 31, 58, 62. Give your answer to 2 decimal places

    Answer: Mean = 55.11, Median = 58, Range = 53