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Capstone Jan 31 - Feb 6 25 questions
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Monday 31 January 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √525

    Answer: 5√21
  2. 2. Algebra

    Complete the square: x² - 11x - 2

    Answer: (x - 11⁄2)² - 129⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 26cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 178.79cm²
  4. 4. Ratio

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

    Answer: 40:45:18
  5. 5. Statistics

    Find the mean, median and range of: 100, 25, 54, 77, 73, 10, 87. Give your answer to 2 decimal places

    Answer: Mean = 60.86, Median = 73, Range = 90

Tuesday 1 February 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √720

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 3x² + 12x - 4

    Answer: 3(x + 2)² - 16
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 21cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 114.24cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 7:14:16
  5. 5. Statistics

    Find the mean, median and range of: 12, 39, 72, 94, 61, 41, 62. Give your answer to 2 decimal places

    Answer: Mean = 54.43, Median = 61, Range = 82

Wednesday 2 February 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√250

    Answer: 15√10
  2. 2. Algebra

    Complete the square: x² + 3x - 7

    Answer: (x + 3⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 15cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 129.cm²
  4. 4. Ratio

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

    Answer: 14:10:25
  5. 5. Statistics

    Find the mean, median and range of: 40, 69, 85, 21, 42, 36, 69, 31, 76. Give your answer to 2 decimal places

    Answer: Mean = 52.11, Median = 42, Range = 64

Thursday 3 February 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √405

    Answer: 9√5
  2. 2. Algebra

    Complete the square: x² + 11x + 12

    Answer: (x + 11⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 12cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 139.72cm²
  4. 4. Ratio

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

    Answer: 25:20:8
  5. 5. Statistics

    Find the mean, median and range of: 38, 22, 60, 77, 75, 44, 40, 50

    Answer: Mean = 50.75, Median = 47, Range = 55

Friday 4 February 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √72

    Answer: 6√2
  2. 2. Algebra

    Complete the square: x² - 7x - 9

    Answer: (x - 7⁄2)² - 85⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 22cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 209.58cm²
  4. 4. Ratio

    a:b is 7:2 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 63:18:8
  5. 5. Statistics

    Find the mean, median and range of: 73, 54, 95, 97, 15, 66, 93. Give your answer to 2 decimal places

    Answer: Mean = 70.43, Median = 73, Range = 82