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Capstone Jan 13 - 19 25 questions
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Monday 13 January 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 3x + 3

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

    Find area of triangle: a = 18cm, b = 22cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 160.19cm²
  4. 4. Ratio

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

    Answer: 5:45:18
  5. 5. Statistics

    Find the mean, median and range of: 13, 43, 41, 59, 75, 68, 79, 21, 85. Give your answer to 2 decimal places

    Answer: Mean = 53.78, Median = 59, Range = 72

Tuesday 14 January 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: 2x² - 24x

    Answer: 2(x - 6)² - 72
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 12cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 134.46cm²
  4. 4. Ratio

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

    Answer: 81:18:10
  5. 5. Statistics

    Find the mean, median and range of: 71, 44, 80, 71, 94, 11, 48, 43

    Answer: Mean = 57.75, Median = 59.5, Range = 83

Wednesday 15 January 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√28

    Answer: 8√7
  2. 2. Algebra

    Complete the square: x² + 5x - 4

    Answer: (x + 5⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 20cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 204.93cm²
  4. 4. Ratio

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

    Answer: 36:63:35
  5. 5. Statistics

    Find the mean, median and range of: 89, 42, 46, 48, 92, 27, 45. Give your answer to 2 decimal places

    Answer: Mean = 55.57, Median = 46, Range = 65

Thursday 16 January 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: x² - 7x + 5

    Answer: (x - 7⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 18cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 160.52cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 8:6:3
  5. 5. Statistics

    Find the mean, median and range of: 51, 85, 99, 76, 39, 94, 64, 28, 29. Give your answer to 2 decimal places

    Answer: Mean = 62.78, Median = 64, Range = 71

Friday 17 January 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√32

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5x + 8

    Answer: (x + 5⁄2)² + 7⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 27cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 147.99cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 20:12:27
  5. 5. Statistics

    Find the mean, median and range of: 63, 50, 84, 77, 67, 22, 67, 92, 21. Give your answer to 2 decimal places

    Answer: Mean = 60.33, Median = 67, Range = 71