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Capstone Nov 7 - 13 25 questions
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Monday 7 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √384

    Answer: 8√6
  2. 2. Algebra

    Complete the square: 4x² + 8x + 14

    Answer: 4(x + 1)² + 10
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 27cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 202.64cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 4:20:15
  5. 5. Statistics

    Find the mean, median and range of: 45, 50, 100, 51, 75, 20, 71, 72

    Answer: Mean = 60.5, Median = 61, Range = 80

Tuesday 8 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √567

    Answer: 9√7
  2. 2. Algebra

    Complete the square: x² + 7x - 8

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

    Find area of triangle: a = 28cm, b = 13cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 178.02cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 28:20:15
  5. 5. Statistics

    Find the mean, median and range of: 73, 22, 46, 15, 28, 97, 82, 91, 39. Give your answer to 2 decimal places

    Answer: Mean = 54.78, Median = 46, Range = 82

Wednesday 9 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √180

    Answer: 6√5
  2. 2. Algebra

    Complete the square: x² + x + 2

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

    Find area of triangle: a = 12cm, b = 28cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 130.56cm²
  4. 4. Ratio

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

    Answer: 36:42:49
  5. 5. Statistics

    Find the mean, median and range of: 70, 75, 24, 30, 28, 15, 90. Give your answer to 2 decimal places

    Answer: Mean = 47.43, Median = 30, Range = 75

Thursday 10 November 2011

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 + 6

    Answer: (x + 1⁄2)² + 23⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 17cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 192.45cm²
  4. 4. Ratio

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

    Answer: 5:10:18
  5. 5. Statistics

    Find the mean, median and range of: 52, 96, 14, 18, 14, 87, 96, 61

    Answer: Mean = 54.75, Median = 56.5, Range = 82

Friday 11 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √720

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 4x² - 16x + 12

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

    Find area of triangle: a = 30cm, b = 25cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 269.75cm²
  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: 65, 67, 70, 93, 69, 29, 76, 40, 38. Give your answer to 2 decimal places

    Answer: Mean = 60.78, Median = 67, Range = 64