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Capstone Nov 29 - Dec 5 25 questions
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Monday 29 November 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√275

    Answer: 10√11
  2. 2. Algebra

    Complete the square: x² - 11x + 5

    Answer: (x - 11⁄2)² - 101⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 20cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 173.57cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 49:21:15
  5. 5. Statistics

    Find the mean, median and range of: 37, 57, 85, 51, 89, 42, 35, 99. Give your answer to 2 decimal places

    Answer: Mean = 61.88, Median = 54, Range = 64

Tuesday 30 November 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: 5x² - 10x + 2

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

    Find area of triangle: a = 26cm, b = 17cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 189.43cm²
  4. 4. Ratio

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

    Answer: 49:21:9
  5. 5. Statistics

    Find the mean, median and range of: 56, 46, 23, 63, 63, 23, 25, 34. Give your answer to 2 decimal places

    Answer: Mean = 41.63, Median = 40, Range = 40

Wednesday 1 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √252

    Answer: 6√7
  2. 2. Algebra

    Complete the square: 5x² + 30x - 4

    Answer: 5(x + 3)² - 49
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 12cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 95.09cm²
  4. 4. Ratio

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

    Answer: 25:45:9
  5. 5. Statistics

    Find the mean, median and range of: 86, 93, 34, 17, 97, 21, 86

    Answer: Mean = 62, Median = 86, Range = 80

Thursday 2 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √810

    Answer: 9√10
  2. 2. Algebra

    Complete the square: 5x² - 50x + 12

    Answer: 5(x - 5)² - 113
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 19cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 246.63cm²
  4. 4. Ratio

    a:b is 5:4 and b:c is 3:8. Find a:b:c in its simplest form.

    Answer: 15:12:32
  5. 5. Statistics

    Find the mean, median and range of: 49, 47, 80, 99, 11, 55, 90, 27, 94. Give your answer to 2 decimal places

    Answer: Mean = 61.33, Median = 55, Range = 88

Friday 3 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √112

    Answer: 4√7
  2. 2. Algebra

    Complete the square: x² + 11x + 7

    Answer: (x + 11⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 21cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 286.46cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 4:12:15
  5. 5. Statistics

    Find the mean, median and range of: 87, 66, 46, 39, 61, 75, 97, 26, 70

    Answer: Mean = 63, Median = 66, Range = 71