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Capstone Jan 10 - 16 25 questions
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Monday 10 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √637

    Answer: 7√13
  2. 2. Algebra

    Complete the square: x² + x + 8

    Answer: (x + 1⁄2)² + 31⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 25cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 196.33cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 54:45:20
  5. 5. Statistics

    Find the mean, median and range of: 49, 74, 17, 20, 68, 71, 79, 99. Give your answer to 2 decimal places

    Answer: Mean = 59.63, Median = 69.5, Range = 82

Tuesday 11 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√18

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3x - 5

    Answer: (x + 3⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 22cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 130.02cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 56:21:9
  5. 5. Statistics

    Find the mean, median and range of: 60, 44, 67, 45, 35, 15, 43. Give your answer to 2 decimal places

    Answer: Mean = 44.14, Median = 44, Range = 52

Wednesday 12 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: 2x² - 24x + 15

    Answer: 2(x - 6)² - 57
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 22cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 172.15cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 72:45:35
  5. 5. Statistics

    Find the mean, median and range of: 41, 63, 63, 50, 45, 85, 76. Give your answer to 2 decimal places

    Answer: Mean = 60.43, Median = 63, Range = 44

Thursday 13 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √180

    Answer: 6√5
  2. 2. Algebra

    Complete the square: x² - 7x + 7

    Answer: (x - 7⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 24cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 126.79cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 7:28:24
  5. 5. Statistics

    Find the mean, median and range of: 99, 93, 52, 37, 86, 42, 40, 68. Give your answer to 2 decimal places

    Answer: Mean = 64.63, Median = 60, Range = 62

Friday 14 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√44

    Answer: 10√11
  2. 2. Algebra

    Complete the square: 4x² + 40x + 9

    Answer: 4(x + 5)² - 91
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 15cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 72.94cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 9:45:40
  5. 5. Statistics

    Find the mean, median and range of: 68, 93, 90, 78, 17, 77, 73. Give your answer to 2 decimal places

    Answer: Mean = 70.86, Median = 77, Range = 76