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Capstone Jul 9 - 15 25 questions
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Monday 9 July 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√50

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 3x - 10

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

    Find area of triangle: a = 13cm, b = 25cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 128.05cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 6:7. Find a:b:c in its simplest form.

    Answer: 9:12:14
  5. 5. Statistics

    Find the mean, median and range of: 21, 16, 43, 25, 68, 34, 55, 98, 23. Give your answer to 2 decimal places

    Answer: Mean = 42.56, Median = 34, Range = 82

Tuesday 10 July 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √80

    Answer: 4√5
  2. 2. Algebra

    Complete the square: x² - 9x + 12

    Answer: (x - 9⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 17cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 157.62cm²
  4. 4. Ratio

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

    Answer: 21:15:25
  5. 5. Statistics

    Find the mean, median and range of: 79, 77, 65, 17, 52, 77, 87, 36

    Answer: Mean = 61.25, Median = 71, Range = 70

Wednesday 11 July 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √352

    Answer: 4√22
  2. 2. Algebra

    Complete the square: x² + 9x + 1

    Answer: (x + 9⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 23cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 263.94cm²
  4. 4. Ratio

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

    Answer: 25:40:48
  5. 5. Statistics

    Find the mean, median and range of: 88, 53, 37, 55, 40, 78, 45, 74, 96. Give your answer to 2 decimal places

    Answer: Mean = 62.89, Median = 55, Range = 59

Thursday 12 July 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √567

    Answer: 9√7
  2. 2. Algebra

    Complete the square: 5x² + 10x + 3

    Answer: 5(x + 1)² - 2
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 25cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 157.29cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 87, 41, 12, 64, 53, 89, 15, 43, 14. Give your answer to 2 decimal places

    Answer: Mean = 46.44, Median = 43, Range = 77

Friday 13 July 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: x² + 7x - 11

    Answer: (x + 7⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 16cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 171.07cm²
  4. 4. Ratio

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

    Answer: 16:12:3
  5. 5. Statistics

    Find the mean, median and range of: 96, 33, 18, 57, 75, 27, 100, 68

    Answer: Mean = 59.25, Median = 62.5, Range = 82