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Capstone Sep 15 - 21 25 questions
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Monday 15 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √504

    Answer: 6√14
  2. 2. Algebra

    Complete the square: x² + x + 8

    Answer: (x + 1⁄2)² + 31⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 26cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 313.39cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 15:24:4
  5. 5. Statistics

    Find the mean, median and range of: 63, 10, 84, 92, 45, 38, 47, 21, 80. Give your answer to 2 decimal places

    Answer: Mean = 53.33, Median = 47, Range = 82

Tuesday 16 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√48

    Answer: 20√3
  2. 2. Algebra

    Complete the square: x² - 5x

    Answer: (x - 5⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 30cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 236.18cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 9:5. Find a:b:c in its simplest form.

    Answer: 9:18:10
  5. 5. Statistics

    Find the mean, median and range of: 38, 44, 94, 41, 100, 22, 35, 26, 30. Give your answer to 2 decimal places

    Answer: Mean = 47.78, Median = 38, Range = 78

Wednesday 17 September 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 + 12

    Answer: (x + 3⁄2)² + 39⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 12cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 132.7cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 7:56:32
  5. 5. Statistics

    Find the mean, median and range of: 55, 84, 57, 98, 77, 21, 10, 61. Give your answer to 2 decimal places

    Answer: Mean = 57.88, Median = 59, Range = 88

Thursday 18 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: 2x² - 4x + 11

    Answer: 2(x - 1)² + 9
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 23cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 151.29cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 64:72:45
  5. 5. Statistics

    Find the mean, median and range of: 37, 43, 15, 36, 82, 15, 82, 95, 54

    Answer: Mean = 51, Median = 43, Range = 80

Friday 19 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: x² - 3x - 12

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

    Find area of triangle: a = 12cm, b = 21cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 90.64cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 7:63:54
  5. 5. Statistics

    Find the mean, median and range of: 85, 15, 99, 10, 12, 32, 57, 78, 45. Give your answer to 2 decimal places

    Answer: Mean = 48.11, Median = 45, Range = 89