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Capstone Apr 30 - May 6 25 questions
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Monday 30 April 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² - 9x + 8

    Answer: (x - 9⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 22cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 173.38cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 42:35:45
  5. 5. Statistics

    Find the mean, median and range of: 37, 65, 74, 92, 60, 15, 84

    Answer: Mean = 61, Median = 65, Range = 77

Tuesday 1 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² - 7x - 11

    Answer: (x - 7⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 14cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 75.53cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 9:5. Find a:b:c in its simplest form.

    Answer: 9:63:35
  5. 5. Statistics

    Find the mean, median and range of: 85, 13, 95, 43, 62, 45, 48. Give your answer to 2 decimal places

    Answer: Mean = 55.86, Median = 48, Range = 82

Wednesday 2 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √350

    Answer: 5√14
  2. 2. Algebra

    Complete the square: 5x² - 60x + 13

    Answer: 5(x - 6)² - 167
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 24cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 170.21cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 49:42:6
  5. 5. Statistics

    Find the mean, median and range of: 11, 84, 71, 14, 67, 19, 62, 93, 49. Give your answer to 2 decimal places

    Answer: Mean = 52.22, Median = 62, Range = 82

Thursday 3 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √704

    Answer: 8√11
  2. 2. Algebra

    Complete the square: 5x² + 50x - 10

    Answer: 5(x + 5)² - 135
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 15cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 98.03cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 54:63:49
  5. 5. Statistics

    Find the mean, median and range of: 95, 42, 17, 31, 61, 28, 44, 58

    Answer: Mean = 47, Median = 43, Range = 78

Friday 4 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√112

    Answer: 12√7
  2. 2. Algebra

    Complete the square: 2x² + 16x - 2

    Answer: 2(x + 4)² - 34
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 22cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 234.58cm²
  4. 4. Ratio

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

    Answer: 24:40:15
  5. 5. Statistics

    Find the mean, median and range of: 12, 25, 87, 71, 75, 67, 26, 36, 37. Give your answer to 2 decimal places

    Answer: Mean = 48.44, Median = 37, Range = 75