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Capstone Feb 28 - Mar 6 25 questions
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Monday 28 February 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: x² - x - 6

    Answer: (x - 1⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 16cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 93.47cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 35:21:27
  5. 5. Statistics

    Find the mean, median and range of: 64, 96, 29, 38, 95, 93, 89

    Answer: Mean = 72, Median = 89, Range = 67

Tuesday 1 March 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √605

    Answer: 11√5
  2. 2. Algebra

    Complete the square: x² + 3x - 1

    Answer: (x + 3⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 17cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 207.86cm²
  4. 4. Ratio

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

    Answer: 27:12:16
  5. 5. Statistics

    Find the mean, median and range of: 12, 95, 39, 94, 41, 49, 41, 55

    Answer: Mean = 53.25, Median = 45, Range = 83

Wednesday 2 March 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√45

    Answer: 9√5
  2. 2. Algebra

    Complete the square: x² - 11x + 7

    Answer: (x - 11⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 15cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 209.07cm²
  4. 4. Ratio

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

    Answer: 27:6:4
  5. 5. Statistics

    Find the mean, median and range of: 75, 89, 83, 46, 79, 28, 25, 97

    Answer: Mean = 65.25, Median = 77, Range = 72

Thursday 3 March 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √32

    Answer: 4√2
  2. 2. Algebra

    Complete the square: 5x² - 50x + 13

    Answer: 5(x - 5)² - 112
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 29cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 258.89cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 12:14:21
  5. 5. Statistics

    Find the mean, median and range of: 19, 15, 97, 88, 86, 62, 88, 88, 85. Give your answer to 2 decimal places

    Answer: Mean = 69.78, Median = 86, Range = 82

Friday 4 March 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√27

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5x + 8

    Answer: (x + 5⁄2)² + 7⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 25cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 220.15cm²
  4. 4. Ratio

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

    Answer: 9:45:5
  5. 5. Statistics

    Find the mean, median and range of: 29, 83, 64, 10, 100, 32, 45, 38. Give your answer to 2 decimal places

    Answer: Mean = 50.13, Median = 41.5, Range = 90