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Capstone May 23 - 29 25 questions
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Monday 23 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√24

    Answer: 8√6
  2. 2. Algebra

    Complete the square: 4x² - 24x

    Answer: 4(x - 3)² - 36
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 30cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 368.11cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 5:35:14
  5. 5. Statistics

    Find the mean, median and range of: 47, 63, 43, 34, 31, 27, 49

    Answer: Mean = 42, Median = 43, Range = 36

Tuesday 24 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√99

    Answer: 9√11
  2. 2. Algebra

    Complete the square: 4x² - 40x - 11

    Answer: 4(x - 5)² - 111
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 24cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 201.31cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 3:18:8
  5. 5. Statistics

    Find the mean, median and range of: 37, 70, 24, 69, 81, 42, 41

    Answer: Mean = 52, Median = 42, Range = 57

Wednesday 25 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√18

    Answer: 9√2
  2. 2. Algebra

    Complete the square: 5x² + 20x + 5

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

    Find area of triangle: a = 24cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 127.79cm²
  4. 4. Ratio

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

    Answer: 4:10:25
  5. 5. Statistics

    Find the mean, median and range of: 21, 15, 57, 16, 84, 64, 60, 46, 99. Give your answer to 2 decimal places

    Answer: Mean = 51.33, Median = 57, Range = 84

Thursday 26 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: x² - 11x + 1

    Answer: (x - 11⁄2)² - 117⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 30cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 299.58cm²
  4. 4. Ratio

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

    Answer: 8:24:27
  5. 5. Statistics

    Find the mean, median and range of: 11, 91, 72, 81, 95, 38, 78. Give your answer to 2 decimal places

    Answer: Mean = 66.57, Median = 78, Range = 84

Friday 27 May 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 9x

    Answer: (x + 9⁄2)² - 81⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 20cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 94.56cm²
  4. 4. Ratio

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

    Answer: 81:45:10
  5. 5. Statistics

    Find the mean, median and range of: 57, 46, 86, 72, 95, 63, 18, 23, 86. Give your answer to 2 decimal places

    Answer: Mean = 60.67, Median = 63, Range = 77