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Capstone Mar 12 - 18 25 questions
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Monday 12 March 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √72

    Answer: 6√2
  2. 2. Algebra

    Complete the square: x² + x - 9

    Answer: (x + 1⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 13cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 118.84cm²
  4. 4. Ratio

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

    Answer: 28:20:45
  5. 5. Statistics

    Find the mean, median and range of: 97, 89, 72, 81, 89, 16, 16. Give your answer to 2 decimal places

    Answer: Mean = 65.71, Median = 81, Range = 81

Tuesday 13 March 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√12

    Answer: 10√3
  2. 2. Algebra

    Complete the square: x² - 9x - 11

    Answer: (x - 9⁄2)² - 125⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 13cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 100.91cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 5:35:42
  5. 5. Statistics

    Find the mean, median and range of: 93, 39, 98, 70, 95, 18, 30, 19, 68. Give your answer to 2 decimal places

    Answer: Mean = 58.89, Median = 68, Range = 80

Wednesday 14 March 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² - 7x - 3

    Answer: (x - 7⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 12cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 66.88cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 16:56:35
  5. 5. Statistics

    Find the mean, median and range of: 19, 15, 42, 24, 62, 89, 22

    Answer: Mean = 39, Median = 24, Range = 74

Thursday 15 March 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: 3x² - 30x + 5

    Answer: 3(x - 5)² - 70
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 16cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 169.53cm²
  4. 4. Ratio

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

    Answer: 20:15:3
  5. 5. Statistics

    Find the mean, median and range of: 71, 89, 61, 31, 97, 77, 42. Give your answer to 2 decimal places

    Answer: Mean = 66.86, Median = 71, Range = 66

Friday 16 March 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√160

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² - 3x - 3

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

    Find area of triangle: a = 29cm, b = 24cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 329.04cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 7:14:8
  5. 5. Statistics

    Find the mean, median and range of: 25, 82, 32, 35, 22, 35, 98, 19, 74. Give your answer to 2 decimal places

    Answer: Mean = 46.89, Median = 35, Range = 79