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Capstone Feb 13 - 19 25 questions
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Monday 13 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √216

    Answer: 6√6
  2. 2. Algebra

    Complete the square: 3x² - 30x + 13

    Answer: 3(x - 5)² - 62
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 29cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 184.55cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 35:15:27
  5. 5. Statistics

    Find the mean, median and range of: 23, 66, 98, 96, 60, 30, 80. Give your answer to 2 decimal places

    Answer: Mean = 64.71, Median = 66, Range = 75

Tuesday 14 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √468

    Answer: 6√13
  2. 2. Algebra

    Complete the square: x² + 11x - 6

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

    Find area of triangle: a = 29cm, b = 25cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 256.33cm²
  4. 4. Ratio

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

    Answer: 25:10:14
  5. 5. Statistics

    Find the mean, median and range of: 59, 40, 77, 36, 55, 24, 20, 45, 24. Give your answer to 2 decimal places

    Answer: Mean = 42.22, Median = 40, Range = 57

Wednesday 15 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √1000

    Answer: 10√10
  2. 2. Algebra

    Complete the square: x² + 11x - 10

    Answer: (x + 11⁄2)² - 161⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 27cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 295.3cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 14:10:5
  5. 5. Statistics

    Find the mean, median and range of: 91, 57, 39, 86, 62, 78, 46. Give your answer to 2 decimal places

    Answer: Mean = 65.57, Median = 62, Range = 52

Thursday 16 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 3x² + 24x + 13

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

    Find area of triangle: a = 16cm, b = 23cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 175.96cm²
  4. 4. Ratio

    a:b is 5:7 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 15:21:14
  5. 5. Statistics

    Find the mean, median and range of: 50, 43, 66, 91, 15, 71, 76, 58

    Answer: Mean = 58.75, Median = 62, Range = 76

Friday 17 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√176

    Answer: 16√11
  2. 2. Algebra

    Complete the square: x² + 11x + 1

    Answer: (x + 11⁄2)² - 117⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 30cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 338.06cm²
  4. 4. Ratio

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

    Answer: 20:15:9
  5. 5. Statistics

    Find the mean, median and range of: 20, 96, 92, 39, 23, 50, 27, 59, 29. Give your answer to 2 decimal places

    Answer: Mean = 48.33, Median = 39, Range = 76