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Capstone Sep 24 - 30 25 questions
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Monday 24 September 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √272

    Answer: 4√17
  2. 2. Algebra

    Complete the square: x² - x - 6

    Answer: (x - 1⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 20cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 99.48cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 3:8. Find a:b:c in its simplest form.

    Answer: 27:24:64
  5. 5. Statistics

    Find the mean, median and range of: 70, 99, 53, 33, 67, 65, 44, 84. Give your answer to 2 decimal places

    Answer: Mean = 64.38, Median = 66, Range = 66

Tuesday 25 September 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√90

    Answer: 6√10
  2. 2. Algebra

    Complete the square: x² - 3x - 11

    Answer: (x - 3⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 20cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 142.56cm²
  4. 4. Ratio

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

    Answer: 16:24:9
  5. 5. Statistics

    Find the mean, median and range of: 60, 37, 76, 73, 60, 63, 96, 84. Give your answer to 2 decimal places

    Answer: Mean = 68.63, Median = 68, Range = 59

Wednesday 26 September 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√75

    Answer: 20√3
  2. 2. Algebra

    Complete the square: 3x² - 12x + 4

    Answer: 3(x - 2)² - 8
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 29cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 387.59cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 28:63:27
  5. 5. Statistics

    Find the mean, median and range of: 26, 26, 83, 65, 41, 20, 33, 93, 95. Give your answer to 2 decimal places

    Answer: Mean = 53.56, Median = 41, Range = 75

Thursday 27 September 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√48

    Answer: 16√3
  2. 2. Algebra

    Complete the square: x² + 11x + 9

    Answer: (x + 11⁄2)² - 85⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 15cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 188.36cm²
  4. 4. Ratio

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

    Answer: 8:40:25
  5. 5. Statistics

    Find the mean, median and range of: 86, 93, 86, 72, 40, 13, 36, 48, 51. Give your answer to 2 decimal places

    Answer: Mean = 58.33, Median = 51, Range = 80

Friday 28 September 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√20

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² - 3x + 2

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

    Find area of triangle: a = 20cm, b = 27cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 242.67cm²
  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: 30, 12, 45, 28, 40, 10, 94, 91

    Answer: Mean = 43.75, Median = 35, Range = 84