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Capstone Dec 31 - Jan 6 25 questions
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Monday 31 December 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √475

    Answer: 5√19
  2. 2. Algebra

    Complete the square: x² + 7x + 4

    Answer: (x + 7⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 21cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 125.79cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 12:10:25
  5. 5. Statistics

    Find the mean, median and range of: 50, 13, 19, 55, 56, 88, 60, 34, 71. Give your answer to 2 decimal places

    Answer: Mean = 49.56, Median = 55, Range = 75

Tuesday 1 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √245

    Answer: 7√5
  2. 2. Algebra

    Complete the square: 4x² - 24x + 1

    Answer: 4(x - 3)² - 35
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 14cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 168.22cm²
  4. 4. Ratio

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

    Answer: 10:6:9
  5. 5. Statistics

    Find the mean, median and range of: 98, 23, 71, 94, 35, 58, 96. Give your answer to 2 decimal places

    Answer: Mean = 67.86, Median = 71, Range = 75

Wednesday 2 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: 2x² + 8x + 1

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

    Find area of triangle: a = 30cm, b = 22cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 303.77cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 54:63:28
  5. 5. Statistics

    Find the mean, median and range of: 68, 41, 34, 65, 25, 67, 74, 49, 19. Give your answer to 2 decimal places

    Answer: Mean = 49.11, Median = 49, Range = 55

Thursday 3 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: 4x² - 48x - 2

    Answer: 4(x - 6)² - 146
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 15cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 104.91cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 7:21:27
  5. 5. Statistics

    Find the mean, median and range of: 25, 36, 56, 35, 65, 71, 34, 54, 65

    Answer: Mean = 49, Median = 54, Range = 46

Friday 4 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√160

    Answer: 16√10
  2. 2. Algebra

    Complete the square: x² + 5x - 12

    Answer: (x + 5⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 17cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 90.16cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 3:7. Find a:b:c in its simplest form.

    Answer: 3:12:28
  5. 5. Statistics

    Find the mean, median and range of: 97, 37, 92, 86, 26, 73, 92, 51

    Answer: Mean = 69.25, Median = 79.5, Range = 71