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Capstone Oct 18 - 24 25 questions
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Monday 18 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √96

    Answer: 4√6
  2. 2. Algebra

    Complete the square: x² + 3x + 12

    Answer: (x + 3⁄2)² + 39⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 24cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 276.84cm²
  4. 4. Ratio

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

    Answer: 10:6:15
  5. 5. Statistics

    Find the mean, median and range of: 59, 29, 94, 59, 92, 16, 40. Give your answer to 2 decimal places

    Answer: Mean = 55.57, Median = 59, Range = 78

Tuesday 19 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√125

    Answer: 25√5
  2. 2. Algebra

    Complete the square: 2x² + 20x + 11

    Answer: 2(x + 5)² - 39
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 15cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 139.89cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 5:35:14
  5. 5. Statistics

    Find the mean, median and range of: 67, 44, 44, 68, 10, 65, 92. Give your answer to 2 decimal places

    Answer: Mean = 55.71, Median = 65, Range = 82

Wednesday 20 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√8

    Answer: 6√2
  2. 2. Algebra

    Complete the square: 2x² + 24x + 6

    Answer: 2(x + 6)² - 66
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 26cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 152cm²
  4. 4. Ratio

    a:b is 9:7 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 36:28:35
  5. 5. Statistics

    Find the mean, median and range of: 57, 76, 98, 75, 23, 96, 50. Give your answer to 2 decimal places

    Answer: Mean = 67.86, Median = 75, Range = 75

Thursday 21 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 + 11x - 11

    Answer: (x + 11⁄2)² - 165⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 19cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 207.15cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 45:72:8
  5. 5. Statistics

    Find the mean, median and range of: 64, 64, 43, 48, 96, 71, 43, 58, 92. Give your answer to 2 decimal places

    Answer: Mean = 64.33, Median = 64, Range = 53

Friday 22 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √486

    Answer: 9√6
  2. 2. Algebra

    Complete the square: x² - 7x - 2

    Answer: (x - 7⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 13cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 134.72cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 4:7. Find a:b:c in its simplest form.

    Answer: 28:20:35
  5. 5. Statistics

    Find the mean, median and range of: 77, 56, 91, 88, 74, 11, 10, 66, 72. Give your answer to 2 decimal places

    Answer: Mean = 60.56, Median = 72, Range = 81