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Capstone Oct 4 - 10 25 questions
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Monday 4 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: 5x² - 10x - 12

    Answer: 5(x - 1)² - 17
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 24cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 165.33cm²
  4. 4. Ratio

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

    Answer: 16:20:15
  5. 5. Statistics

    Find the mean, median and range of: 99, 67, 42, 64, 10, 41, 46, 93, 65. Give your answer to 2 decimal places

    Answer: Mean = 58.56, Median = 64, Range = 89

Tuesday 5 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² - 9x + 12

    Answer: (x - 9⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 12cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 127.79cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 18:45:5
  5. 5. Statistics

    Find the mean, median and range of: 64, 30, 27, 58, 17, 66, 86, 20

    Answer: Mean = 46, Median = 44, Range = 69

Wednesday 6 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  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 = 24cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 180.12cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 45:40:16
  5. 5. Statistics

    Find the mean, median and range of: 53, 30, 54, 80, 45, 84, 35. Give your answer to 2 decimal places

    Answer: Mean = 54.43, Median = 53, Range = 54

Thursday 7 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √304

    Answer: 4√19
  2. 2. Algebra

    Complete the square: x² - 11x + 4

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

    Find area of triangle: a = 15cm, b = 26cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 137.89cm²
  4. 4. Ratio

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

    Answer: 35:63:45
  5. 5. Statistics

    Find the mean, median and range of: 66, 85, 51, 39, 22, 57, 71, 24. Give your answer to 2 decimal places

    Answer: Mean = 51.88, Median = 54, Range = 63

Friday 8 October 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √486

    Answer: 9√6
  2. 2. Algebra

    Complete the square: 3x² - 18x - 11

    Answer: 3(x - 3)² - 38
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 29cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 290.94cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 56:35:30
  5. 5. Statistics

    Find the mean, median and range of: 26, 53, 35, 97, 93, 51, 17. Give your answer to 2 decimal places

    Answer: Mean = 53.14, Median = 51, Range = 80