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Capstone Oct 25 - 31 25 questions
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Monday 25 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √891

    Answer: 9√11
  2. 2. Algebra

    Complete the square: x² + 5x + 6

    Answer: (x + 5⁄2)² - 1⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 26cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 300.87cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 5:15:18
  5. 5. Statistics

    Find the mean, median and range of: 17, 41, 18, 90, 84, 85, 35, 70

    Answer: Mean = 55, Median = 55.5, Range = 73

Tuesday 26 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√20

    Answer: 4√5
  2. 2. Algebra

    Complete the square: 5x² - 50x + 4

    Answer: 5(x - 5)² - 121
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 27cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 318.05cm²
  4. 4. Ratio

    a:b is 9:4 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 45:20:8
  5. 5. Statistics

    Find the mean, median and range of: 17, 62, 57, 67, 51, 32, 75. Give your answer to 2 decimal places

    Answer: Mean = 51.57, Median = 57, Range = 58

Wednesday 27 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 9x + 1

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

    Find area of triangle: a = 17cm, b = 20cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 160.74cm²
  4. 4. Ratio

    a:b is 9:5 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 36:20:15
  5. 5. Statistics

    Find the mean, median and range of: 62, 89, 67, 14, 59, 18, 90, 41, 33. Give your answer to 2 decimal places

    Answer: Mean = 52.56, Median = 59, Range = 76

Thursday 28 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: x² + 5x - 9

    Answer: (x + 5⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 25cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 310.89cm²
  4. 4. Ratio

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

    Answer: 35:45:63
  5. 5. Statistics

    Find the mean, median and range of: 98, 85, 49, 40, 36, 40, 62, 58, 55. Give your answer to 2 decimal places

    Answer: Mean = 58.11, Median = 55, Range = 62

Friday 29 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: x² - x + 5

    Answer: (x - 1⁄2)² + 19⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 25cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 295.5cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 4:12:27
  5. 5. Statistics

    Find the mean, median and range of: 13, 99, 18, 44, 52, 14, 22. Give your answer to 2 decimal places

    Answer: Mean = 37.43, Median = 22, Range = 86