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Capstone May 6 - 12 25 questions
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Monday 6 May 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: x² - 11x + 8

    Answer: (x - 11⁄2)² - 89⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 13cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 162.72cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 16:18:9
  5. 5. Statistics

    Find the mean, median and range of: 11, 22, 25, 73, 39, 90, 43, 50. Give your answer to 2 decimal places

    Answer: Mean = 44.13, Median = 41, Range = 79

Tuesday 7 May 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √475

    Answer: 5√19
  2. 2. Algebra

    Complete the square: x² - 5x + 8

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

    Find area of triangle: a = 19cm, b = 23cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 164.9cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 32:72:9
  5. 5. Statistics

    Find the mean, median and range of: 64, 19, 21, 64, 43, 77, 22. Give your answer to 2 decimal places

    Answer: Mean = 44.29, Median = 43, Range = 58

Wednesday 8 May 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: 3x² - 18x + 10

    Answer: 3(x - 3)² - 17
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 19cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 112.27cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 48:56:21
  5. 5. Statistics

    Find the mean, median and range of: 49, 93, 51, 16, 49, 89, 86, 38. Give your answer to 2 decimal places

    Answer: Mean = 58.88, Median = 50, Range = 77

Thursday 9 May 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √810

    Answer: 9√10
  2. 2. Algebra

    Complete the square: 4x² + 16x + 10

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

    Find area of triangle: a = 22cm, b = 24cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 228.63cm²
  4. 4. Ratio

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

    Answer: 25:20:36
  5. 5. Statistics

    Find the mean, median and range of: 43, 11, 21, 44, 75, 61, 53, 59, 40. Give your answer to 2 decimal places

    Answer: Mean = 45.22, Median = 44, Range = 64

Friday 10 May 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: x² + 3x + 8

    Answer: (x + 3⁄2)² + 23⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 21cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 225.01cm²
  4. 4. Ratio

    a:b is 9:7 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 45:35:14
  5. 5. Statistics

    Find the mean, median and range of: 22, 73, 36, 44, 98, 30, 81. Give your answer to 2 decimal places

    Answer: Mean = 54.86, Median = 44, Range = 76