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Capstone Dec 9 - 15 25 questions
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Monday 9 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: 4x² + 8x + 13

    Answer: 4(x + 1)² + 9
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 30cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 216.28cm²
  4. 4. Ratio

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

    Answer: 56:21:9
  5. 5. Statistics

    Find the mean, median and range of: 71, 75, 94, 16, 87, 29, 38. Give your answer to 2 decimal places

    Answer: Mean = 58.57, Median = 71, Range = 78

Tuesday 10 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √891

    Answer: 9√11
  2. 2. Algebra

    Complete the square: x² - 7x + 10

    Answer: (x - 7⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 16cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 132.39cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 8:18:15
  5. 5. Statistics

    Find the mean, median and range of: 16, 50, 10, 40, 55, 53, 72, 90, 19

    Answer: Mean = 45, Median = 50, Range = 80

Wednesday 11 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √432

    Answer: 12√3
  2. 2. Algebra

    Complete the square: x² + 9x - 11

    Answer: (x + 9⁄2)² - 125⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 15cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 165.48cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 56:35:10
  5. 5. Statistics

    Find the mean, median and range of: 41, 19, 93, 94, 70, 26, 85, 99. Give your answer to 2 decimal places

    Answer: Mean = 65.88, Median = 77.5, Range = 80

Thursday 12 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √384

    Answer: 8√6
  2. 2. Algebra

    Complete the square: x² + 3x - 1

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

    Find area of triangle: a = 30cm, b = 13cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 185.46cm²
  4. 4. Ratio

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

    Answer: 49:56:24
  5. 5. Statistics

    Find the mean, median and range of: 39, 51, 62, 24, 67, 14, 41, 28

    Answer: Mean = 40.75, Median = 40, Range = 53

Friday 13 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √525

    Answer: 5√21
  2. 2. Algebra

    Complete the square: x² - 9x + 1

    Answer: (x - 9⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 19cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 189.68cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 8:10:45
  5. 5. Statistics

    Find the mean, median and range of: 55, 72, 78, 13, 81, 40, 42, 70, 50. Give your answer to 2 decimal places

    Answer: Mean = 55.67, Median = 55, Range = 68