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Capstone Feb 6 - 12 25 questions
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Monday 6 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: 5x² + 50x - 1

    Answer: 5(x + 5)² - 126
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 15cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 203.05cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 2:1. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 21, 22, 37, 13, 78, 24, 54, 20. Give your answer to 2 decimal places

    Answer: Mean = 33.63, Median = 23, Range = 65

Tuesday 7 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: x² - 11x + 5

    Answer: (x - 11⁄2)² - 101⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 14cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 124.98cm²
  4. 4. Ratio

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

    Answer: 24:56:21
  5. 5. Statistics

    Find the mean, median and range of: 97, 62, 18, 61, 52, 73, 22

    Answer: Mean = 55, Median = 61, Range = 79

Wednesday 8 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√32

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 7x + 12

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

    Find area of triangle: a = 24cm, b = 12cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 139.72cm²
  4. 4. Ratio

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

    Answer: 20:35:49
  5. 5. Statistics

    Find the mean, median and range of: 90, 43, 79, 35, 68, 33, 68, 45, 35. Give your answer to 2 decimal places

    Answer: Mean = 55.11, Median = 45, Range = 57

Thursday 9 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√99

    Answer: 6√11
  2. 2. Algebra

    Complete the square: x² + 7x - 7

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

    Find area of triangle: a = 24cm, b = 15cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 163.14cm²
  4. 4. Ratio

    a:b is 7:2 and b:c is 5:7. Find a:b:c in its simplest form.

    Answer: 35:10:14
  5. 5. Statistics

    Find the mean, median and range of: 49, 52, 34, 92, 52, 66, 77, 62, 93. Give your answer to 2 decimal places

    Answer: Mean = 64.11, Median = 62, Range = 59

Friday 10 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√175

    Answer: 25√7
  2. 2. Algebra

    Complete the square: x² + 11x + 4

    Answer: (x + 11⁄2)² - 105⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 13cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 88.25cm²
  4. 4. Ratio

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

    Answer: 2:18:81
  5. 5. Statistics

    Find the mean, median and range of: 88, 62, 53, 48, 43, 16, 54, 22, 54. Give your answer to 2 decimal places

    Answer: Mean = 48.89, Median = 53, Range = 72