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Capstone Aug 15 - 21 25 questions
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Monday 15 August 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √550

    Answer: 5√22
  2. 2. Algebra

    Complete the square: x² - x + 9

    Answer: (x - 1⁄2)² + 35⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 12cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 122.93cm²
  4. 4. Ratio

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

    Answer: 32:20:25
  5. 5. Statistics

    Find the mean, median and range of: 10, 97, 17, 82, 46, 37, 38, 35, 26. Give your answer to 2 decimal places

    Answer: Mean = 43.11, Median = 37, Range = 87

Tuesday 16 August 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √448

    Answer: 8√7
  2. 2. Algebra

    Complete the square: x² + x + 11

    Answer: (x + 1⁄2)² + 43⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 22cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 186.88cm²
  4. 4. Ratio

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

    Answer: 35:42:18
  5. 5. Statistics

    Find the mean, median and range of: 47, 20, 31, 66, 38, 60, 88

    Answer: Mean = 50, Median = 47, Range = 68

Wednesday 17 August 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: x² + 9x + 11

    Answer: (x + 9⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 16cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 162.01cm²
  4. 4. Ratio

    a:b is 7:8 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 21:24:20
  5. 5. Statistics

    Find the mean, median and range of: 29, 49, 45, 86, 99, 49, 67. Give your answer to 2 decimal places

    Answer: Mean = 60.57, Median = 49, Range = 70

Thursday 18 August 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √833

    Answer: 7√17
  2. 2. Algebra

    Complete the square: x² - 9x + 12

    Answer: (x - 9⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 26cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 347.49cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 14:6:15
  5. 5. Statistics

    Find the mean, median and range of: 95, 76, 15, 64, 13, 43, 65, 18, 17. Give your answer to 2 decimal places

    Answer: Mean = 45.11, Median = 43, Range = 82

Friday 19 August 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² + x + 7

    Answer: (x + 1⁄2)² + 27⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 28cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 367.34cm²
  4. 4. Ratio

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

    Answer: 15:20:16
  5. 5. Statistics

    Find the mean, median and range of: 14, 100, 15, 70, 80, 62, 52, 36, 77. Give your answer to 2 decimal places

    Answer: Mean = 56.22, Median = 62, Range = 86