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Capstone Dec 27 - Jan 2 25 questions
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Monday 27 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √350

    Answer: 5√14
  2. 2. Algebra

    Complete the square: 3x² - 12x - 10

    Answer: 3(x - 2)² - 22
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 30cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 244.8cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 6:10:15
  5. 5. Statistics

    Find the mean, median and range of: 92, 71, 42, 27, 26, 21, 69, 64

    Answer: Mean = 51.5, Median = 53, Range = 71

Tuesday 28 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√28

    Answer: 6√7
  2. 2. Algebra

    Complete the square: x² - 5x + 9

    Answer: (x - 5⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 12cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 90.58cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 27:36:8
  5. 5. Statistics

    Find the mean, median and range of: 63, 14, 72, 56, 76, 43, 98, 43. Give your answer to 2 decimal places

    Answer: Mean = 58.13, Median = 59.5, Range = 84

Wednesday 29 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 9x - 4

    Answer: (x + 9⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 15cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 78.73cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 35:15:18
  5. 5. Statistics

    Find the mean, median and range of: 81, 100, 36, 18, 49, 81, 39. Give your answer to 2 decimal places

    Answer: Mean = 57.71, Median = 49, Range = 82

Thursday 30 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √475

    Answer: 5√19
  2. 2. Algebra

    Complete the square: x² + 7x - 7

    Answer: (x + 7⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 22cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 118.64cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 28:21:24
  5. 5. Statistics

    Find the mean, median and range of: 22, 63, 35, 92, 60, 59, 30. Give your answer to 2 decimal places

    Answer: Mean = 51.57, Median = 59, Range = 70

Friday 31 December 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: x² - 9x - 10

    Answer: (x - 9⁄2)² - 121⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 25cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 251.45cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 63:56:32
  5. 5. Statistics

    Find the mean, median and range of: 90, 44, 75, 94, 30, 79, 22

    Answer: Mean = 62, Median = 75, Range = 72