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Capstone May 9 - 15 25 questions
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Monday 9 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √252

    Answer: 6√7
  2. 2. Algebra

    Complete the square: x² + 5x - 8

    Answer: (x + 5⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 29cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 329.73cm²
  4. 4. Ratio

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

    Answer: 25:15:24
  5. 5. Statistics

    Find the mean, median and range of: 63, 31, 56, 100, 68, 54, 97, 92, 43. Give your answer to 2 decimal places

    Answer: Mean = 67.11, Median = 63, Range = 69

Tuesday 10 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √550

    Answer: 5√22
  2. 2. Algebra

    Complete the square: 3x² + 18x - 8

    Answer: 3(x + 3)² - 35
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 19cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 128.24cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 48:56:63
  5. 5. Statistics

    Find the mean, median and range of: 10, 85, 48, 95, 36, 18, 57, 96. Give your answer to 2 decimal places

    Answer: Mean = 55.63, Median = 52.5, Range = 86

Wednesday 11 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√44

    Answer: 4√11
  2. 2. Algebra

    Complete the square: 5x² - 10x + 1

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

    Find area of triangle: a = 24cm, b = 29cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 322.66cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 28:36:9
  5. 5. Statistics

    Find the mean, median and range of: 78, 20, 12, 60, 12, 68, 61. Give your answer to 2 decimal places

    Answer: Mean = 44.43, Median = 60, Range = 66

Thursday 12 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: x² + 9x + 8

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

    Find area of triangle: a = 13cm, b = 21cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 124.7cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 16:28:63
  5. 5. Statistics

    Find the mean, median and range of: 57, 80, 68, 29, 61, 90, 38. Give your answer to 2 decimal places

    Answer: Mean = 60.43, Median = 61, Range = 61

Friday 13 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√112

    Answer: 8√7
  2. 2. Algebra

    Complete the square: x² + 5x + 1

    Answer: (x + 5⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 13cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 165.89cm²
  4. 4. Ratio

    a:b is 3:7 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 27:63:56
  5. 5. Statistics

    Find the mean, median and range of: 24, 53, 12, 71, 53, 33, 33, 60, 72. Give your answer to 2 decimal places

    Answer: Mean = 45.67, Median = 53, Range = 60