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Capstone Jan 7 - 13 25 questions
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Monday 7 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: 2x² + 24x - 11

    Answer: 2(x + 6)² - 83
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 14cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 139.57cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 21:56:8
  5. 5. Statistics

    Find the mean, median and range of: 97, 46, 57, 90, 83, 34, 39, 72

    Answer: Mean = 64.75, Median = 64.5, Range = 63

Tuesday 8 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: 5x² - 50x - 8

    Answer: 5(x - 5)² - 133
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 30cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 183.19cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 28:24:27
  5. 5. Statistics

    Find the mean, median and range of: 73, 87, 36, 49, 52, 43, 84, 73. Give your answer to 2 decimal places

    Answer: Mean = 62.13, Median = 62.5, Range = 51

Wednesday 9 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√176

    Answer: 16√11
  2. 2. Algebra

    Complete the square: x² + 3x - 12

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

    Find area of triangle: a = 20cm, b = 27cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 190.92cm²
  4. 4. Ratio

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

    Answer: 35:15:9
  5. 5. Statistics

    Find the mean, median and range of: 40, 30, 78, 81, 52, 50, 96, 82, 72. Give your answer to 2 decimal places

    Answer: Mean = 64.56, Median = 72, Range = 66

Thursday 10 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: x² + 3x - 6

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

    Find area of triangle: a = 29cm, b = 21cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 289.6cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 28:21:15
  5. 5. Statistics

    Find the mean, median and range of: 44, 66, 51, 94, 63, 97, 55. Give your answer to 2 decimal places

    Answer: Mean = 67.14, Median = 63, Range = 53

Friday 11 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√44

    Answer: 8√11
  2. 2. Algebra

    Complete the square: x² - 11x + 8

    Answer: (x - 11⁄2)² - 89⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 21cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 129.06cm²
  4. 4. Ratio

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

    Answer: 36:42:35
  5. 5. Statistics

    Find the mean, median and range of: 43, 32, 18, 45, 12, 31, 53, 76, 12. Give your answer to 2 decimal places

    Answer: Mean = 35.78, Median = 32, Range = 64