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Capstone Dec 6 - 12 25 questions
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Monday 6 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √756

    Answer: 6√21
  2. 2. Algebra

    Complete the square: x² - 3x + 4

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

    Find area of triangle: a = 30cm, b = 19cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 258.3cm²
  4. 4. Ratio

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

    Answer: 49:14:4
  5. 5. Statistics

    Find the mean, median and range of: 21, 13, 44, 73, 86, 15, 32. Give your answer to 2 decimal places

    Answer: Mean = 40.57, Median = 32, Range = 73

Tuesday 7 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: 3x² + 30x - 14

    Answer: 3(x + 5)² - 89
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 14cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 84.96cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 16:72:9
  5. 5. Statistics

    Find the mean, median and range of: 100, 56, 12, 91, 25, 97, 55, 67, 31. Give your answer to 2 decimal places

    Answer: Mean = 59.33, Median = 56, Range = 88

Wednesday 8 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: 3x² + 6x + 14

    Answer: 3(x + 1)² + 11
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 24cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 214.25cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 10:12:3
  5. 5. Statistics

    Find the mean, median and range of: 73, 75, 29, 23, 98, 46, 65, 74. Give your answer to 2 decimal places

    Answer: Mean = 60.38, Median = 69, Range = 75

Thursday 9 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √96

    Answer: 4√6
  2. 2. Algebra

    Complete the square: x² + 11x - 5

    Answer: (x + 11⁄2)² - 141⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 25cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 295.44cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 64:56:7
  5. 5. Statistics

    Find the mean, median and range of: 65, 16, 97, 32, 60, 12, 72, 92

    Answer: Mean = 55.75, Median = 62.5, Range = 85

Friday 10 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√27

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² - 5x - 12

    Answer: (x - 5⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 17cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 144.99cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 5:7. Find a:b:c in its simplest form.

    Answer: 25:40:56
  5. 5. Statistics

    Find the mean, median and range of: 80, 60, 58, 72, 27, 35, 53, 95, 91. Give your answer to 2 decimal places

    Answer: Mean = 63.44, Median = 60, Range = 68