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Capstone Mar 10 - 16 25 questions
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Monday 10 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: x² + 11x + 6

    Answer: (x + 11⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 22cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 267.95cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 63:14:4
  5. 5. Statistics

    Find the mean, median and range of: 92, 35, 63, 30, 45, 54, 58, 18, 89. Give your answer to 2 decimal places

    Answer: Mean = 53.78, Median = 54, Range = 74

Tuesday 11 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √384

    Answer: 8√6
  2. 2. Algebra

    Complete the square: x² - 5x - 11

    Answer: (x - 5⁄2)² - 69⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 19cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 173.57cm²
  4. 4. Ratio

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

    Answer: 7:56:8
  5. 5. Statistics

    Find the mean, median and range of: 23, 27, 38, 77, 31, 18, 93. Give your answer to 2 decimal places

    Answer: Mean = 43.86, Median = 31, Range = 75

Wednesday 12 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √272

    Answer: 4√17
  2. 2. Algebra

    Complete the square: x² - 3x - 5

    Answer: (x - 3⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 13cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 131.47cm²
  4. 4. Ratio

    a:b is 9:5 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 63:35:5
  5. 5. Statistics

    Find the mean, median and range of: 40, 22, 28, 34, 89, 18, 85, 67. Give your answer to 2 decimal places

    Answer: Mean = 47.88, Median = 37, Range = 71

Thursday 13 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: 5x² + 20x + 15

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

    Find area of triangle: a = 15cm, b = 14cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 102.71cm²
  4. 4. Ratio

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

    Answer: 5:40:64
  5. 5. Statistics

    Find the mean, median and range of: 36, 97, 77, 12, 79, 41, 73, 62, 85. Give your answer to 2 decimal places

    Answer: Mean = 62.44, Median = 73, Range = 85

Friday 14 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √304

    Answer: 4√19
  2. 2. Algebra

    Complete the square: x² - 3x + 7

    Answer: (x - 3⁄2)² + 19⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 162.46cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 32:28:35
  5. 5. Statistics

    Find the mean, median and range of: 96, 91, 44, 38, 39, 88, 35, 38. Give your answer to 2 decimal places

    Answer: Mean = 58.63, Median = 41.5, Range = 61