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Capstone Jan 3 - 9 25 questions
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Monday 3 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √684

    Answer: 6√19
  2. 2. Algebra

    Complete the square: x² + 11x - 6

    Answer: (x + 11⁄2)² - 145⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 22cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 219.cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 15:40:48
  5. 5. Statistics

    Find the mean, median and range of: 68, 67, 10, 42, 66, 24, 76, 47

    Answer: Mean = 50, Median = 56.5, Range = 66

Tuesday 4 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √96

    Answer: 4√6
  2. 2. Algebra

    Complete the square: x² - 9x + 3

    Answer: (x - 9⁄2)² - 69⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 20cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 166.89cm²
  4. 4. Ratio

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

    Answer: 9:21:7
  5. 5. Statistics

    Find the mean, median and range of: 66, 44, 97, 10, 100, 43, 24, 79, 92. Give your answer to 2 decimal places

    Answer: Mean = 61.67, Median = 66, Range = 90

Wednesday 5 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √640

    Answer: 8√10
  2. 2. Algebra

    Complete the square: 5x² - 60x + 12

    Answer: 5(x - 6)² - 168
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 19cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 120.85cm²
  4. 4. Ratio

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

    Answer: 5:20:4
  5. 5. Statistics

    Find the mean, median and range of: 84, 100, 39, 52, 83, 36, 85. Give your answer to 2 decimal places

    Answer: Mean = 68.43, Median = 83, Range = 64

Thursday 6 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: x² - 5x + 2

    Answer: (x - 5⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 13cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 129.6cm²
  4. 4. Ratio

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

    Answer: 81:63:28
  5. 5. Statistics

    Find the mean, median and range of: 46, 69, 25, 44, 34, 37, 37, 75, 81. Give your answer to 2 decimal places

    Answer: Mean = 49.78, Median = 44, Range = 56

Friday 7 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √612

    Answer: 6√17
  2. 2. Algebra

    Complete the square: x² + 7x - 7

    Answer: (x + 7⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 14cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 77.23cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 35:21:15
  5. 5. Statistics

    Find the mean, median and range of: 13, 75, 60, 13, 83, 23, 68. Give your answer to 2 decimal places

    Answer: Mean = 47.86, Median = 60, Range = 70