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Capstone Apr 2 - 8 25 questions
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Monday 2 April 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√20

    Answer: 6√5
  2. 2. Algebra

    Complete the square: 5x² - 30x + 13

    Answer: 5(x - 3)² - 32
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 29cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 308.51cm²
  4. 4. Ratio

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

    Answer: 10:14:21
  5. 5. Statistics

    Find the mean, median and range of: 27, 93, 70, 15, 94, 12, 28. Give your answer to 2 decimal places

    Answer: Mean = 48.43, Median = 28, Range = 82

Tuesday 3 April 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √275

    Answer: 5√11
  2. 2. Algebra

    Complete the square: x² + 9x + 1

    Answer: (x + 9⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 14cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 167.71cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 35:30:12
  5. 5. Statistics

    Find the mean, median and range of: 15, 59, 21, 66, 45, 85, 77. Give your answer to 2 decimal places

    Answer: Mean = 52.57, Median = 59, Range = 70

Wednesday 4 April 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: 2x² + 16x - 12

    Answer: 2(x + 4)² - 44
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 19cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 136.23cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 10:45:27
  5. 5. Statistics

    Find the mean, median and range of: 75, 63, 42, 13, 96, 36, 80. Give your answer to 2 decimal places

    Answer: Mean = 57.86, Median = 63, Range = 83

Thursday 5 April 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √150

    Answer: 5√6
  2. 2. Algebra

    Complete the square: 5x² - 50x - 14

    Answer: 5(x - 5)² - 139
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 20cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 256.05cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 27:45:40
  5. 5. Statistics

    Find the mean, median and range of: 56, 48, 97, 78, 66, 43, 40, 69. Give your answer to 2 decimal places

    Answer: Mean = 62.13, Median = 61, Range = 57

Friday 6 April 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √525

    Answer: 5√21
  2. 2. Algebra

    Complete the square: x² - 11x - 6

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

    Find area of triangle: a = 26cm, b = 30cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 364.cm²
  4. 4. Ratio

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

    Answer: 4:10:25
  5. 5. Statistics

    Find the mean, median and range of: 18, 25, 100, 52, 27, 14, 78. Give your answer to 2 decimal places

    Answer: Mean = 44.86, Median = 27, Range = 86