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Capstone Nov 17 - 23 25 questions
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Monday 17 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: 5x² - 40x - 12

    Answer: 5(x - 4)² - 92
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 14cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 168.4cm²
  4. 4. Ratio

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

    Answer: 25:45:36
  5. 5. Statistics

    Find the mean, median and range of: 17, 19, 33, 29, 15, 74, 17, 44

    Answer: Mean = 31, Median = 24, Range = 59

Tuesday 18 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: x² + 9x - 6

    Answer: (x + 9⁄2)² - 105⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 21cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 147.98cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 16:12:27
  5. 5. Statistics

    Find the mean, median and range of: 14, 12, 81, 80, 54, 58, 32, 76, 59. Give your answer to 2 decimal places

    Answer: Mean = 51.78, Median = 58, Range = 69

Wednesday 19 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √150

    Answer: 5√6
  2. 2. Algebra

    Complete the square: x² - 5x - 9

    Answer: (x - 5⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 19cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 158.38cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 32:36:9
  5. 5. Statistics

    Find the mean, median and range of: 21, 26, 25, 71, 22, 35, 50. Give your answer to 2 decimal places

    Answer: Mean = 35.71, Median = 26, Range = 50

Thursday 20 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: 3x² - 12x + 4

    Answer: 3(x - 2)² - 8
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 15cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 100.47cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 5:2. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 11, 15, 64, 65, 59, 34, 12, 74

    Answer: Mean = 41.75, Median = 46.5, Range = 63

Friday 21 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3x - 11

    Answer: (x + 3⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 16cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 138.56cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 5:2. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 22, 47, 55, 84, 30, 49, 72. Give your answer to 2 decimal places

    Answer: Mean = 51.29, Median = 49, Range = 62