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Capstone Oct 31 - Nov 6 25 questions
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Monday 31 October 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √80

    Answer: 4√5
  2. 2. Algebra

    Complete the square: 3x² - 24x - 6

    Answer: 3(x - 4)² - 54
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 24cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 346.05cm²
  4. 4. Ratio

    a:b is 7:2 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 49:14:16
  5. 5. Statistics

    Find the mean, median and range of: 19, 85, 28, 48, 86, 85, 36, 20, 45. Give your answer to 2 decimal places

    Answer: Mean = 50.22, Median = 45, Range = 67

Tuesday 1 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√50

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² - 11x - 1

    Answer: (x - 11⁄2)² - 125⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 13cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 115.22cm²
  4. 4. Ratio

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

    Answer: 40:15:21
  5. 5. Statistics

    Find the mean, median and range of: 82, 16, 42, 38, 83, 65, 68. Give your answer to 2 decimal places

    Answer: Mean = 56.29, Median = 65, Range = 67

Wednesday 2 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √612

    Answer: 6√17
  2. 2. Algebra

    Complete the square: 3x² + 36x - 5

    Answer: 3(x + 6)² - 113
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 18cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 231.11cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 20:24:27
  5. 5. Statistics

    Find the mean, median and range of: 27, 79, 54, 20, 82, 64, 37, 37, 93. Give your answer to 2 decimal places

    Answer: Mean = 54.78, Median = 54, Range = 73

Thursday 3 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √720

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 3x² - 6x - 3

    Answer: 3(x - 1)² - 6
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 26cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 168.87cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 2:14:7
  5. 5. Statistics

    Find the mean, median and range of: 35, 99, 63, 59, 48, 38, 41. Give your answer to 2 decimal places

    Answer: Mean = 54.71, Median = 48, Range = 64

Friday 4 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: x² - x + 1

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

    Find area of triangle: a = 12cm, b = 15cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 76.32cm²
  4. 4. Ratio

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

    Answer: 16:36:81
  5. 5. Statistics

    Find the mean, median and range of: 40, 29, 29, 90, 53, 65, 64, 42, 82. Give your answer to 2 decimal places

    Answer: Mean = 54.89, Median = 53, Range = 61