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Capstone Mar 21 - 27 25 questions
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Monday 21 March 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √896

    Answer: 8√14
  2. 2. Algebra

    Complete the square: x² - 5x - 11

    Answer: (x - 5⁄2)² - 69⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 19cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 163.53cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 8:40:5
  5. 5. Statistics

    Find the mean, median and range of: 68, 38, 95, 46, 73, 40, 82. Give your answer to 2 decimal places

    Answer: Mean = 63.14, Median = 68, Range = 57

Tuesday 22 March 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: 4x² - 16x + 15

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

    Find area of triangle: a = 23cm, b = 15cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 121.98cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 7:28:16
  5. 5. Statistics

    Find the mean, median and range of: 44, 87, 51, 89, 98, 79, 19, 69

    Answer: Mean = 67, Median = 74, Range = 79

Wednesday 23 March 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√12

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² - x + 9

    Answer: (x - 1⁄2)² + 35⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 12cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 144.25cm²
  4. 4. Ratio

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

    Answer: 25:20:12
  5. 5. Statistics

    Find the mean, median and range of: 54, 35, 39, 49, 54, 77, 50. Give your answer to 2 decimal places

    Answer: Mean = 51.14, Median = 50, Range = 42

Thursday 24 March 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √352

    Answer: 4√22
  2. 2. Algebra

    Complete the square: x² + 5x - 1

    Answer: (x + 5⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 15cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 119.8cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 48:40:45
  5. 5. Statistics

    Find the mean, median and range of: 73, 89, 46, 91, 84, 97, 94, 100

    Answer: Mean = 84.25, Median = 90, Range = 54

Friday 25 March 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² + 7x + 6

    Answer: (x + 7⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 14cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 173.06cm²
  4. 4. Ratio

    a:b is 5:4 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 15:12:4
  5. 5. Statistics

    Find the mean, median and range of: 91, 33, 99, 10, 26, 37, 51, 75, 71. Give your answer to 2 decimal places

    Answer: Mean = 54.78, Median = 51, Range = 89