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Capstone Aug 23 - 29 25 questions
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Monday 23 August 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √432

    Answer: 12√3
  2. 2. Algebra

    Complete the square: x² + x - 5

    Answer: (x + 1⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 20cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 104.04cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 15:10:16
  5. 5. Statistics

    Find the mean, median and range of: 20, 86, 24, 65, 18, 35, 51. Give your answer to 2 decimal places

    Answer: Mean = 42.71, Median = 35, Range = 68

Tuesday 24 August 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² + x + 3

    Answer: (x + 1⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 22cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 194.99cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 4:20:45
  5. 5. Statistics

    Find the mean, median and range of: 42, 26, 34, 97, 14, 89, 74, 92

    Answer: Mean = 58.5, Median = 58, Range = 83

Wednesday 25 August 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √756

    Answer: 6√21
  2. 2. Algebra

    Complete the square: 4x² - 48x + 8

    Answer: 4(x - 6)² - 136
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 21cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 131.21cm²
  4. 4. Ratio

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

    Answer: 25:15:9
  5. 5. Statistics

    Find the mean, median and range of: 56, 14, 68, 11, 30, 32, 15, 77, 56. Give your answer to 2 decimal places

    Answer: Mean = 39.89, Median = 32, Range = 66

Thursday 26 August 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: x² - 5x + 5

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

    Find area of triangle: a = 24cm, b = 25cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 291.09cm²
  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: 37, 33, 64, 29, 19, 49, 93, 94, 95

    Answer: Mean = 57, Median = 49, Range = 76

Friday 27 August 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √48

    Answer: 4√3
  2. 2. Algebra

    Complete the square: 5x² - 10x + 8

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

    Find area of triangle: a = 12cm, b = 24cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 136.95cm²
  4. 4. Ratio

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

    Answer: 49:42:54
  5. 5. Statistics

    Find the mean, median and range of: 15, 55, 29, 70, 19, 37, 38, 69

    Answer: Mean = 41.5, Median = 37.5, Range = 55