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Capstone Jul 8 - 14 25 questions
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Monday 8 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√160

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² + 9x - 11

    Answer: (x + 9⁄2)² - 125⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 28cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 179.62cm²
  4. 4. Ratio

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

    Answer: 27:18:8
  5. 5. Statistics

    Find the mean, median and range of: 33, 14, 78, 28, 11, 71, 38, 32, 13. Give your answer to 2 decimal places

    Answer: Mean = 35.33, Median = 32, Range = 67

Tuesday 9 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √1000

    Answer: 10√10
  2. 2. Algebra

    Complete the square: 3x² - 12x + 4

    Answer: 3(x - 2)² - 8
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 21cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 131.29cm²
  4. 4. Ratio

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

    Answer: 25:30:54
  5. 5. Statistics

    Find the mean, median and range of: 90, 12, 97, 24, 57, 37, 24. Give your answer to 2 decimal places

    Answer: Mean = 48.71, Median = 37, Range = 85

Wednesday 10 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√24

    Answer: 6√6
  2. 2. Algebra

    Complete the square: x² + 5x + 4

    Answer: (x + 5⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 27cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 204.23cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 5:4. Find a:b:c in its simplest form.

    Answer: 15:40:32
  5. 5. Statistics

    Find the mean, median and range of: 25, 92, 63, 92, 55, 59, 77. Give your answer to 2 decimal places

    Answer: Mean = 66.14, Median = 63, Range = 67

Thursday 11 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√27

    Answer: 12√3
  2. 2. Algebra

    Complete the square: 4x² - 8x + 13

    Answer: 4(x - 1)² + 9
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 30cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 289.25cm²
  4. 4. Ratio

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

    Answer: 10:18:81
  5. 5. Statistics

    Find the mean, median and range of: 32, 69, 60, 40, 48, 43, 62. Give your answer to 2 decimal places

    Answer: Mean = 50.57, Median = 48, Range = 37

Friday 12 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √350

    Answer: 5√14
  2. 2. Algebra

    Complete the square: 2x² + 8x - 7

    Answer: 2(x + 2)² - 15
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 23cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 123.33cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 2:18:3
  5. 5. Statistics

    Find the mean, median and range of: 59, 71, 47, 51, 53, 82, 55, 51, 27. Give your answer to 2 decimal places

    Answer: Mean = 55.11, Median = 53, Range = 55