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Capstone Jul 11 - 17 25 questions
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Monday 11 July 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √384

    Answer: 8√6
  2. 2. Algebra

    Complete the square: x² - 9x - 6

    Answer: (x - 9⁄2)² - 105⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 21cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 215.18cm²
  4. 4. Ratio

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

    Answer: 16:10:25
  5. 5. Statistics

    Find the mean, median and range of: 63, 32, 76, 42, 89, 98, 24. Give your answer to 2 decimal places

    Answer: Mean = 60.57, Median = 63, Range = 74

Tuesday 12 July 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√175

    Answer: 25√7
  2. 2. Algebra

    Complete the square: x² - 9x + 11

    Answer: (x - 9⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 12cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 113.47cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 56:35:20
  5. 5. Statistics

    Find the mean, median and range of: 82, 23, 30, 93, 61, 81, 83. Give your answer to 2 decimal places

    Answer: Mean = 64.71, Median = 81, Range = 70

Wednesday 13 July 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² - x

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

    Find area of triangle: a = 22cm, b = 24cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 199.24cm²
  4. 4. Ratio

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

    Answer: 14:35:30
  5. 5. Statistics

    Find the mean, median and range of: 74, 82, 52, 39, 52, 36, 85, 71, 65. Give your answer to 2 decimal places

    Answer: Mean = 61.78, Median = 65, Range = 49

Thursday 14 July 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: 2x² + 24x - 14

    Answer: 2(x + 6)² - 86
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 15cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 174.86cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 17, 21, 73, 17, 60, 60, 58. Give your answer to 2 decimal places

    Answer: Mean = 43.71, Median = 58, Range = 56

Friday 15 July 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√12

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 3x² + 18x - 12

    Answer: 3(x + 3)² - 39
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 27cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 258.76cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 28:35:5
  5. 5. Statistics

    Find the mean, median and range of: 23, 30, 38, 98, 49, 92, 46, 11. Give your answer to 2 decimal places

    Answer: Mean = 48.38, Median = 42, Range = 87