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Capstone Nov 21 - 27 25 questions
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Monday 21 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√24

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² + 5x + 4

    Answer: (x + 5⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 29cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 218.89cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 49:21:18
  5. 5. Statistics

    Find the mean, median and range of: 94, 33, 68, 60, 47, 64, 77. Give your answer to 2 decimal places

    Answer: Mean = 63.29, Median = 64, Range = 61

Tuesday 22 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√160

    Answer: 20√10
  2. 2. Algebra

    Complete the square: x² + 7x + 5

    Answer: (x + 7⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 21cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 172.02cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 58, 25, 93, 76, 77, 84, 14

    Answer: Mean = 61, Median = 76, Range = 79

Wednesday 23 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: 4x² + 40x - 1

    Answer: 4(x + 5)² - 101
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 23cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 173.72cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 14:63:36
  5. 5. Statistics

    Find the mean, median and range of: 64, 16, 24, 38, 82, 97, 56, 70, 63. Give your answer to 2 decimal places

    Answer: Mean = 56.67, Median = 63, Range = 81

Thursday 24 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√99

    Answer: 15√11
  2. 2. Algebra

    Complete the square: x² - 9x + 11

    Answer: (x - 9⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 30cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 376.71cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 2:10:15
  5. 5. Statistics

    Find the mean, median and range of: 64, 43, 65, 95, 14, 25, 60, 25, 95

    Answer: Mean = 54, Median = 60, Range = 81

Friday 25 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √960

    Answer: 8√15
  2. 2. Algebra

    Complete the square: x² - 11x - 1

    Answer: (x - 11⁄2)² - 125⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 21cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 161.49cm²
  4. 4. Ratio

    a:b is 5:4 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 45:36:32
  5. 5. Statistics

    Find the mean, median and range of: 50, 66, 56, 28, 88, 83, 47, 15. Give your answer to 2 decimal places

    Answer: Mean = 54.13, Median = 53, Range = 73