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Capstone May 14 - 20 25 questions
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Monday 14 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √350

    Answer: 5√14
  2. 2. Algebra

    Complete the square: x² + 9x + 2

    Answer: (x + 9⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 25cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 328.54cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 14:63:72
  5. 5. Statistics

    Find the mean, median and range of: 82, 73, 51, 22, 58, 17, 72. Give your answer to 2 decimal places

    Answer: Mean = 53.57, Median = 58, Range = 65

Tuesday 15 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √304

    Answer: 4√19
  2. 2. Algebra

    Complete the square: x² - 3x + 8

    Answer: (x - 3⁄2)² + 23⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 19cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 154.72cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 45:18:2
  5. 5. Statistics

    Find the mean, median and range of: 44, 40, 63, 24, 59, 78, 37, 63, 64. Give your answer to 2 decimal places

    Answer: Mean = 52.44, Median = 59, Range = 54

Wednesday 16 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√275

    Answer: 20√11
  2. 2. Algebra

    Complete the square: x² + 7x + 9

    Answer: (x + 7⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 23cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 221.76cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 27:45:20
  5. 5. Statistics

    Find the mean, median and range of: 20, 19, 95, 35, 94, 32, 23, 24, 57. Give your answer to 2 decimal places

    Answer: Mean = 44.33, Median = 32, Range = 76

Thursday 17 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² - 9x - 7

    Answer: (x - 9⁄2)² - 109⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 28cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 359.5cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 8:10:45
  5. 5. Statistics

    Find the mean, median and range of: 19, 88, 39, 10, 10, 61, 95, 11. Give your answer to 2 decimal places

    Answer: Mean = 41.63, Median = 29, Range = 85

Friday 18 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: x² - 5x + 1

    Answer: (x - 5⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 22cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 194.36cm²
  4. 4. Ratio

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

    Answer: 35:10:14
  5. 5. Statistics

    Find the mean, median and range of: 96, 59, 75, 25, 18, 63, 33, 77

    Answer: Mean = 55.75, Median = 61, Range = 78