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Capstone Dec 19 - 25 25 questions
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Monday 19 December 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 9x + 8

    Answer: (x + 9⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 14cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 99.86cm²
  4. 4. Ratio

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

    Answer: 35:14:12
  5. 5. Statistics

    Find the mean, median and range of: 38, 73, 35, 84, 85, 66, 53, 99. Give your answer to 2 decimal places

    Answer: Mean = 66.63, Median = 69.5, Range = 64

Tuesday 20 December 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√250

    Answer: 25√10
  2. 2. Algebra

    Complete the square: x² - 9x - 9

    Answer: (x - 9⁄2)² - 117⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 14cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 85.49cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 7:14:10
  5. 5. Statistics

    Find the mean, median and range of: 46, 41, 44, 11, 91, 30, 25, 82, 13. Give your answer to 2 decimal places

    Answer: Mean = 42.56, Median = 41, Range = 80

Wednesday 21 December 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√44

    Answer: 8√11
  2. 2. Algebra

    Complete the square: x² + 3x - 11

    Answer: (x + 3⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 30cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 204.62cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 21:12:8
  5. 5. Statistics

    Find the mean, median and range of: 61, 41, 38, 90, 45, 41, 74, 70

    Answer: Mean = 57.5, Median = 53, Range = 52

Thursday 22 December 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √550

    Answer: 5√22
  2. 2. Algebra

    Complete the square: x² + 3x + 2

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

    Find area of triangle: a = 20cm, b = 19cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 176.16cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 9:18:8
  5. 5. Statistics

    Find the mean, median and range of: 36, 89, 92, 37, 25, 16, 13

    Answer: Mean = 44, Median = 36, Range = 79

Friday 23 December 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √304

    Answer: 4√19
  2. 2. Algebra

    Complete the square: 2x² + 20x - 3

    Answer: 2(x + 5)² - 53
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 24cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 246.47cm²
  4. 4. Ratio

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

    Answer: 42:35:10
  5. 5. Statistics

    Find the mean, median and range of: 61, 52, 62, 41, 83, 12, 57, 69, 91. Give your answer to 2 decimal places

    Answer: Mean = 58.67, Median = 61, Range = 79