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Capstone Sep 6 - 12 25 questions
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Monday 6 September 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√112

    Answer: 8√7
  2. 2. Algebra

    Complete the square: 3x² - 30x - 8

    Answer: 3(x - 5)² - 83
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 28cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 206.98cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 16:40:15
  5. 5. Statistics

    Find the mean, median and range of: 31, 66, 77, 14, 86, 97, 15, 32

    Answer: Mean = 52.25, Median = 49, Range = 83

Tuesday 7 September 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: x² - 3x + 4

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

    Find area of triangle: a = 14cm, b = 13cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 73.62cm²
  4. 4. Ratio

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

    Answer: 35:10:4
  5. 5. Statistics

    Find the mean, median and range of: 95, 93, 42, 82, 13, 52, 10, 90. Give your answer to 2 decimal places

    Answer: Mean = 59.63, Median = 67, Range = 85

Wednesday 8 September 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√75

    Answer: 25√3
  2. 2. Algebra

    Complete the square: 3x² + 12x + 10

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

    Find area of triangle: a = 12cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 63.89cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 2:12:27
  5. 5. Statistics

    Find the mean, median and range of: 23, 29, 42, 32, 27, 71, 89, 26, 24. Give your answer to 2 decimal places

    Answer: Mean = 40.33, Median = 29, Range = 66

Thursday 9 September 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √405

    Answer: 9√5
  2. 2. Algebra

    Complete the square: 4x² - 32x - 7

    Answer: 4(x - 4)² - 71
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 23cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 134.98cm²
  4. 4. Ratio

    a:b is 5:4 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 15:12:8
  5. 5. Statistics

    Find the mean, median and range of: 94, 20, 49, 27, 52, 71, 32, 94, 56

    Answer: Mean = 55, Median = 52, Range = 74

Friday 10 September 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: 4x² + 48x - 14

    Answer: 4(x + 6)² - 158
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 17cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 188.83cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 9:18:14
  5. 5. Statistics

    Find the mean, median and range of: 78, 87, 27, 36, 44, 66, 77, 52, 63. Give your answer to 2 decimal places

    Answer: Mean = 58.89, Median = 63, Range = 60