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Capstone Nov 3 - 9 25 questions
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Monday 3 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√80

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² - 9x - 7

    Answer: (x - 9⁄2)² - 109⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 15cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 131.54cm²
  4. 4. Ratio

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

    Answer: 35:20:28
  5. 5. Statistics

    Find the mean, median and range of: 11, 65, 62, 51, 13, 24, 60. Give your answer to 2 decimal places

    Answer: Mean = 40.86, Median = 51, Range = 54

Tuesday 4 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √539

    Answer: 7√11
  2. 2. Algebra

    Complete the square: x² - 9x + 3

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

    Find area of triangle: a = 14cm, b = 18cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 115.98cm²
  4. 4. Ratio

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

    Answer: 3:12:16
  5. 5. Statistics

    Find the mean, median and range of: 54, 16, 15, 75, 45, 37, 94, 83. Give your answer to 2 decimal places

    Answer: Mean = 52.38, Median = 49.5, Range = 79

Wednesday 5 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √637

    Answer: 7√13
  2. 2. Algebra

    Complete the square: x² + 3x + 5

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

    Find area of triangle: a = 28cm, b = 19cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 244.85cm²
  4. 4. Ratio

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

    Answer: 35:15:12
  5. 5. Statistics

    Find the mean, median and range of: 22, 38, 23, 53, 92, 59, 28, 90. Give your answer to 2 decimal places

    Answer: Mean = 50.63, Median = 45.5, Range = 70

Thursday 6 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √252

    Answer: 6√7
  2. 2. Algebra

    Complete the square: x² + 9x + 8

    Answer: (x + 9⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 17cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 150.19cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 63:45:20
  5. 5. Statistics

    Find the mean, median and range of: 11, 48, 11, 77, 47, 31, 11. Give your answer to 2 decimal places

    Answer: Mean = 33.71, Median = 31, Range = 66

Friday 7 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: x² - 7x + 3

    Answer: (x - 7⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 29cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 231.6cm²
  4. 4. Ratio

    a:b is 3:7 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 15:35:14
  5. 5. Statistics

    Find the mean, median and range of: 90, 98, 82, 41, 100, 17, 37, 54. Give your answer to 2 decimal places

    Answer: Mean = 64.88, Median = 68, Range = 83