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Capstone May 7 - 13 25 questions
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Monday 7 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √847

    Answer: 11√7
  2. 2. Algebra

    Complete the square: x² + 11x + 6

    Answer: (x + 11⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 20cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 192.25cm²
  4. 4. Ratio

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

    Answer: 21:35:25
  5. 5. Statistics

    Find the mean, median and range of: 30, 46, 85, 31, 99, 75, 24, 12, 20. Give your answer to 2 decimal places

    Answer: Mean = 46.89, Median = 31, Range = 87

Tuesday 8 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√175

    Answer: 10√7
  2. 2. Algebra

    Complete the square: 4x² + 8x + 9

    Answer: 4(x + 1)² + 5
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 21cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 187.11cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 14:63:54
  5. 5. Statistics

    Find the mean, median and range of: 78, 57, 79, 59, 96, 72, 41, 47, 68. Give your answer to 2 decimal places

    Answer: Mean = 66.33, Median = 68, Range = 55

Wednesday 9 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √80

    Answer: 4√5
  2. 2. Algebra

    Complete the square: x² - x + 1

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

    Find area of triangle: a = 25cm, b = 29cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 242.56cm²
  4. 4. Ratio

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

    Answer: 18:21:49
  5. 5. Statistics

    Find the mean, median and range of: 97, 25, 81, 11, 56, 82, 79. Give your answer to 2 decimal places

    Answer: Mean = 61.57, Median = 79, Range = 86

Thursday 10 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √272

    Answer: 4√17
  2. 2. Algebra

    Complete the square: x² + 5x + 8

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

    Find area of triangle: a = 18cm, b = 22cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 194.99cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 27:24:32
  5. 5. Statistics

    Find the mean, median and range of: 28, 31, 31, 92, 40, 58, 85. Give your answer to 2 decimal places

    Answer: Mean = 52.14, Median = 40, Range = 64

Friday 11 May 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √960

    Answer: 8√15
  2. 2. Algebra

    Complete the square: x² + x - 8

    Answer: (x + 1⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 13cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 112.83cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 7:28:32
  5. 5. Statistics

    Find the mean, median and range of: 45, 78, 10, 61, 26, 69, 51, 36

    Answer: Mean = 47, Median = 48, Range = 68