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Capstone Oct 3 - 9 25 questions
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Monday 3 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√12

    Answer: 4√3
  2. 2. Algebra

    Complete the square: x² - 9x + 10

    Answer: (x - 9⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 26cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 135.cm²
  4. 4. Ratio

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

    Answer: 81:18:2
  5. 5. Statistics

    Find the mean, median and range of: 47, 45, 15, 48, 93, 55, 78, 54. Give your answer to 2 decimal places

    Answer: Mean = 54.38, Median = 51, Range = 78

Tuesday 4 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: x² - 3x + 11

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

    Find area of triangle: a = 22cm, b = 24cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 258.23cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 2:6:3
  5. 5. Statistics

    Find the mean, median and range of: 29, 90, 32, 89, 48, 74, 65

    Answer: Mean = 61, Median = 65, Range = 61

Wednesday 5 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: x² - 5x + 8

    Answer: (x - 5⁄2)² + 7⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 30cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 438.47cm²
  4. 4. Ratio

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

    Answer: 64:72:63
  5. 5. Statistics

    Find the mean, median and range of: 10, 38, 90, 10, 75, 63, 80, 97, 49. Give your answer to 2 decimal places

    Answer: Mean = 56.89, Median = 63, Range = 87

Thursday 6 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: x² - 7x + 12

    Answer: (x - 7⁄2)² - 1⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 133.11cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 5:20:8
  5. 5. Statistics

    Find the mean, median and range of: 98, 79, 53, 81, 20, 19, 73, 10, 11. Give your answer to 2 decimal places

    Answer: Mean = 49.33, Median = 53, Range = 88

Friday 7 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√63

    Answer: 12√7
  2. 2. Algebra

    Complete the square: x² - 7x - 12

    Answer: (x - 7⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 17cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 133.93cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 54:45:5
  5. 5. Statistics

    Find the mean, median and range of: 94, 42, 40, 41, 67, 10, 82. Give your answer to 2 decimal places

    Answer: Mean = 53.71, Median = 42, Range = 84