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Capstone Apr 7 - 13 25 questions
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Monday 7 April 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √640

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² - 5x - 10

    Answer: (x - 5⁄2)² - 65⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 24cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 221.23cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 9:63:56
  5. 5. Statistics

    Find the mean, median and range of: 11, 20, 93, 11, 86, 17, 58, 49. Give your answer to 2 decimal places

    Answer: Mean = 43.13, Median = 34.5, Range = 82

Tuesday 8 April 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√250

    Answer: 10√10
  2. 2. Algebra

    Complete the square: x² - x - 5

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

    Find area of triangle: a = 18cm, b = 26cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 213.77cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 12:30:25
  5. 5. Statistics

    Find the mean, median and range of: 29, 64, 95, 25, 61, 33, 16, 21

    Answer: Mean = 43, Median = 31, Range = 79

Wednesday 9 April 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² - 3x + 8

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

    Find area of triangle: a = 21cm, b = 29cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 195.73cm²
  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: 28, 64, 84, 14, 31, 20, 72. Give your answer to 2 decimal places

    Answer: Mean = 44.71, Median = 31, Range = 70

Thursday 10 April 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √272

    Answer: 4√17
  2. 2. Algebra

    Complete the square: 3x² - 12x - 5

    Answer: 3(x - 2)² - 17
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 17cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 187.42cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 16:18:45
  5. 5. Statistics

    Find the mean, median and range of: 88, 57, 24, 75, 73, 98, 78, 52, 65. Give your answer to 2 decimal places

    Answer: Mean = 67.78, Median = 73, Range = 74

Friday 11 April 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √684

    Answer: 6√19
  2. 2. Algebra

    Complete the square: x² - 7x + 10

    Answer: (x - 7⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 12cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 66.86cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 20:15:18
  5. 5. Statistics

    Find the mean, median and range of: 35, 92, 11, 10, 68, 95, 29. Give your answer to 2 decimal places

    Answer: Mean = 48.57, Median = 35, Range = 85