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Capstone Oct 8 - 14 25 questions
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Monday 8 October 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √224

    Answer: 4√14
  2. 2. Algebra

    Complete the square: x² - 9x + 8

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

    Find area of triangle: a = 13cm, b = 26cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 143.32cm²
  4. 4. Ratio

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

    Answer: 9:36:4
  5. 5. Statistics

    Find the mean, median and range of: 60, 82, 46, 23, 93, 74, 88, 13. Give your answer to 2 decimal places

    Answer: Mean = 59.88, Median = 67, Range = 80

Tuesday 9 October 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √684

    Answer: 6√19
  2. 2. Algebra

    Complete the square: 4x² - 32x + 6

    Answer: 4(x - 4)² - 58
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 13cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 109.94cm²
  4. 4. Ratio

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

    Answer: 16:12:21
  5. 5. Statistics

    Find the mean, median and range of: 51, 52, 78, 56, 47, 50, 28. Give your answer to 2 decimal places

    Answer: Mean = 51.71, Median = 51, Range = 50

Wednesday 10 October 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √504

    Answer: 6√14
  2. 2. Algebra

    Complete the square: x² - 7x - 8

    Answer: (x - 7⁄2)² - 81⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 15cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 192.59cm²
  4. 4. Ratio

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

    Answer: 14:63:45
  5. 5. Statistics

    Find the mean, median and range of: 36, 51, 20, 71, 65, 45, 13

    Answer: Mean = 43, Median = 45, Range = 58

Thursday 11 October 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√150

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² - x + 9

    Answer: (x - 1⁄2)² + 35⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 29cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 179.24cm²
  4. 4. Ratio

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

    Answer: 36:63:28
  5. 5. Statistics

    Find the mean, median and range of: 71, 84, 77, 14, 53, 15, 84, 81, 39. Give your answer to 2 decimal places

    Answer: Mean = 57.56, Median = 71, Range = 70

Friday 12 October 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: 3x² - 12x + 9

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

    Find area of triangle: a = 22cm, b = 21cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 171.67cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 56:24:15
  5. 5. Statistics

    Find the mean, median and range of: 78, 25, 76, 67, 64, 89, 14, 86. Give your answer to 2 decimal places

    Answer: Mean = 62.38, Median = 71.5, Range = 75