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Capstone Jun 21 - 27 25 questions
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Monday 21 June 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √150

    Answer: 5√6
  2. 2. Algebra

    Complete the square: x² + 7x + 9

    Answer: (x + 7⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 24cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 240.99cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 49:63:9
  5. 5. Statistics

    Find the mean, median and range of: 87, 43, 78, 48, 75, 52, 15, 56, 57. Give your answer to 2 decimal places

    Answer: Mean = 56.78, Median = 56, Range = 72

Tuesday 22 June 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√275

    Answer: 15√11
  2. 2. Algebra

    Complete the square: x² + 9x + 4

    Answer: (x + 9⁄2)² - 65⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 14cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 88.99cm²
  4. 4. Ratio

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

    Answer: 36:45:35
  5. 5. Statistics

    Find the mean, median and range of: 100, 76, 72, 45, 76, 27, 23, 87, 63. Give your answer to 2 decimal places

    Answer: Mean = 63.22, Median = 72, Range = 77

Wednesday 23 June 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √275

    Answer: 5√11
  2. 2. Algebra

    Complete the square: x² + 9x + 10

    Answer: (x + 9⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 20cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 261.98cm²
  4. 4. Ratio

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

    Answer: 32:56:21
  5. 5. Statistics

    Find the mean, median and range of: 35, 96, 46, 67, 18, 81, 46. Give your answer to 2 decimal places

    Answer: Mean = 55.57, Median = 46, Range = 78

Thursday 24 June 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √640

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² - x + 2

    Answer: (x - 1⁄2)² + 7⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 19cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 115.3cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 5:20:8
  5. 5. Statistics

    Find the mean, median and range of: 21, 45, 27, 35, 62, 78, 83, 39, 46. Give your answer to 2 decimal places

    Answer: Mean = 48.44, Median = 45, Range = 62

Friday 25 June 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √720

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 3x² - 12x + 3

    Answer: 3(x - 2)² - 9
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 18cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 150.96cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 6:21:28
  5. 5. Statistics

    Find the mean, median and range of: 39, 33, 66, 32, 32, 50, 40, 72

    Answer: Mean = 45.5, Median = 39.5, Range = 40