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Capstone Sep 5 - 11 25 questions
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Monday 5 September 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √96

    Answer: 4√6
  2. 2. Algebra

    Complete the square: 3x² + 18x - 14

    Answer: 3(x + 3)² - 41
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 22cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 170.83cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 30:35:21
  5. 5. Statistics

    Find the mean, median and range of: 28, 53, 35, 46, 77, 20, 47. Give your answer to 2 decimal places

    Answer: Mean = 43.71, Median = 46, Range = 57

Tuesday 6 September 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: 4x² + 24x - 6

    Answer: 4(x + 3)² - 42
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 20cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 167.71cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 5:7. Find a:b:c in its simplest form.

    Answer: 40:45:63
  5. 5. Statistics

    Find the mean, median and range of: 83, 83, 31, 20, 48, 11, 32

    Answer: Mean = 44, Median = 32, Range = 72

Wednesday 7 September 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: 4x² - 8x + 14

    Answer: 4(x - 1)² + 10
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 25cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 174.92cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 32:24:21
  5. 5. Statistics

    Find the mean, median and range of: 67, 51, 66, 47, 25, 75, 42. Give your answer to 2 decimal places

    Answer: Mean = 53.29, Median = 51, Range = 50

Thursday 8 September 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √325

    Answer: 5√13
  2. 2. Algebra

    Complete the square: x² - 5x + 10

    Answer: (x - 5⁄2)² + 15⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 20cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 135.23cm²
  4. 4. Ratio

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

    Answer: 16:56:35
  5. 5. Statistics

    Find the mean, median and range of: 57, 22, 97, 55, 59, 75, 64. Give your answer to 2 decimal places

    Answer: Mean = 61.29, Median = 59, Range = 75

Friday 9 September 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √336

    Answer: 4√21
  2. 2. Algebra

    Complete the square: x² - 5x + 12

    Answer: (x - 5⁄2)² + 23⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 14cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 172.15cm²
  4. 4. Ratio

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

    Answer: 18:14:63
  5. 5. Statistics

    Find the mean, median and range of: 26, 26, 83, 70, 56, 30, 94, 21, 83. Give your answer to 2 decimal places

    Answer: Mean = 54.33, Median = 56, Range = 73