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Capstone Feb 7 - 13 25 questions
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Monday 7 February 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √360

    Answer: 6√10
  2. 2. Algebra

    Complete the square: x² + x - 8

    Answer: (x + 1⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 28cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 199.59cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 40:45:54
  5. 5. Statistics

    Find the mean, median and range of: 69, 45, 54, 22, 44, 88, 85. Give your answer to 2 decimal places

    Answer: Mean = 58.14, Median = 54, Range = 66

Tuesday 8 February 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: 2x² - 8x + 7

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

    Find area of triangle: a = 21cm, b = 17cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 140.66cm²
  4. 4. Ratio

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

    Answer: 35:56:64
  5. 5. Statistics

    Find the mean, median and range of: 45, 59, 25, 99, 26, 40, 11, 13, 84. Give your answer to 2 decimal places

    Answer: Mean = 44.67, Median = 40, Range = 88

Wednesday 9 February 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: 4x² + 8x - 14

    Answer: 4(x + 1)² - 18
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 14cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 167.35cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 15:6:4
  5. 5. Statistics

    Find the mean, median and range of: 35, 22, 16, 27, 85, 21, 55, 80. Give your answer to 2 decimal places

    Answer: Mean = 42.63, Median = 31, Range = 69

Thursday 10 February 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √567

    Answer: 9√7
  2. 2. Algebra

    Complete the square: x² - x + 3

    Answer: (x - 1⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 25cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 207.55cm²
  4. 4. Ratio

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

    Answer: 5:35:7
  5. 5. Statistics

    Find the mean, median and range of: 75, 19, 67, 30, 11, 74, 17, 100, 58. Give your answer to 2 decimal places

    Answer: Mean = 50.11, Median = 58, Range = 89

Friday 11 February 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√80

    Answer: 20√5
  2. 2. Algebra

    Complete the square: x² - 5x + 5

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

    Find area of triangle: a = 24cm, b = 24cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 241.54cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 9:12:2
  5. 5. Statistics

    Find the mean, median and range of: 98, 28, 19, 66, 20, 99, 55, 38. Give your answer to 2 decimal places

    Answer: Mean = 52.88, Median = 46.5, Range = 80