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Capstone Nov 8 - 14 25 questions
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Monday 8 November 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√112

    Answer: 8√7
  2. 2. Algebra

    Complete the square: 4x² - 32x + 1

    Answer: 4(x - 4)² - 63
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 24cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 137.89cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 8:72:27
  5. 5. Statistics

    Find the mean, median and range of: 78, 68, 22, 68, 40, 44, 26, 14

    Answer: Mean = 45, Median = 42, Range = 64

Tuesday 9 November 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √504

    Answer: 6√14
  2. 2. Algebra

    Complete the square: x² - x - 7

    Answer: (x - 1⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 17cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 153.6cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 16:56:21
  5. 5. Statistics

    Find the mean, median and range of: 25, 37, 22, 50, 23, 44, 25, 25. Give your answer to 2 decimal places

    Answer: Mean = 31.38, Median = 25, Range = 28

Wednesday 10 November 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: 4x² - 40x + 4

    Answer: 4(x - 5)² - 96
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 24cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 179.25cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 9:36:32
  5. 5. Statistics

    Find the mean, median and range of: 78, 85, 80, 76, 46, 70, 69, 89. Give your answer to 2 decimal places

    Answer: Mean = 74.13, Median = 77, Range = 43

Thursday 11 November 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √810

    Answer: 9√10
  2. 2. Algebra

    Complete the square: x² - 7x - 7

    Answer: (x - 7⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 16cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 92.56cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 32:12:15
  5. 5. Statistics

    Find the mean, median and range of: 96, 72, 75, 83, 68, 20, 37, 86. Give your answer to 2 decimal places

    Answer: Mean = 67.13, Median = 73.5, Range = 76

Friday 12 November 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √240

    Answer: 4√15
  2. 2. Algebra

    Complete the square: 4x² + 8x - 15

    Answer: 4(x + 1)² - 19
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 16cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 134.44cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 40:45:9
  5. 5. Statistics

    Find the mean, median and range of: 97, 19, 43, 11, 74, 20, 45, 11

    Answer: Mean = 40, Median = 31.5, Range = 86