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Capstone Jan 16 - 22 25 questions
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Monday 16 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: 4x² + 40x + 2

    Answer: 4(x + 5)² - 98
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 13cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 69.71cm²
  4. 4. Ratio

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

    Answer: 36:63:49
  5. 5. Statistics

    Find the mean, median and range of: 79, 60, 49, 38, 16, 19, 25. Give your answer to 2 decimal places

    Answer: Mean = 40.86, Median = 38, Range = 63

Tuesday 17 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√96

    Answer: 20√6
  2. 2. Algebra

    Complete the square: x² + 3x - 2

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

    Find area of triangle: a = 23cm, b = 23cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 243.47cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 5:45:81
  5. 5. Statistics

    Find the mean, median and range of: 67, 89, 99, 35, 71, 43, 21, 91, 65. Give your answer to 2 decimal places

    Answer: Mean = 64.56, Median = 67, Range = 78

Wednesday 18 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: 4x² + 48x + 13

    Answer: 4(x + 6)² - 131
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 28cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 151.06cm²
  4. 4. Ratio

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

    Answer: 4:10:25
  5. 5. Statistics

    Find the mean, median and range of: 22, 18, 69, 13, 62, 71, 63, 74, 78. Give your answer to 2 decimal places

    Answer: Mean = 52.22, Median = 63, Range = 65

Thursday 19 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: 5x² - 50x + 8

    Answer: 5(x - 5)² - 117
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 12cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 120.85cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 4:6:3
  5. 5. Statistics

    Find the mean, median and range of: 19, 11, 37, 65, 72, 49, 39, 44, 81. Give your answer to 2 decimal places

    Answer: Mean = 46.33, Median = 44, Range = 70

Friday 20 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² - 5x - 7

    Answer: (x - 5⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 30cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 122.76cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 2:7. Find a:b:c in its simplest form.

    Answer: 12:10:35
  5. 5. Statistics

    Find the mean, median and range of: 31, 73, 69, 83, 27, 38, 51. Give your answer to 2 decimal places

    Answer: Mean = 53.14, Median = 51, Range = 56