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Capstone Jul 12 - 18 25 questions
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Monday 12 July 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √72

    Answer: 6√2
  2. 2. Algebra

    Complete the square: x² - x - 11

    Answer: (x - 1⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 23cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 133.9cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 54:63:28
  5. 5. Statistics

    Find the mean, median and range of: 57, 71, 71, 64, 56, 77, 80

    Answer: Mean = 68, Median = 71, Range = 24

Tuesday 13 July 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√96

    Answer: 20√6
  2. 2. Algebra

    Complete the square: x² + x + 6

    Answer: (x + 1⁄2)² + 23⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 18cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 94.47cm²
  4. 4. Ratio

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

    Answer: 35:14:6
  5. 5. Statistics

    Find the mean, median and range of: 21, 14, 91, 17, 19, 50, 96, 24

    Answer: Mean = 41.5, Median = 22.5, Range = 82

Wednesday 14 July 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: x² + x - 9

    Answer: (x + 1⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 26cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 256.cm²
  4. 4. Ratio

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

    Answer: 24:15:25
  5. 5. Statistics

    Find the mean, median and range of: 95, 42, 18, 44, 82, 94, 79, 72

    Answer: Mean = 65.75, Median = 75.5, Range = 77

Thursday 15 July 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√175

    Answer: 25√7
  2. 2. Algebra

    Complete the square: x² - x + 2

    Answer: (x - 1⁄2)² + 7⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 13cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 80.83cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 27:24:4
  5. 5. Statistics

    Find the mean, median and range of: 81, 92, 29, 40, 73, 38, 95

    Answer: Mean = 64, Median = 73, Range = 66

Friday 16 July 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√45

    Answer: 9√5
  2. 2. Algebra

    Complete the square: x² + 7x + 7

    Answer: (x + 7⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 16cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 220.92cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 40:15:18
  5. 5. Statistics

    Find the mean, median and range of: 19, 94, 47, 35, 31, 74, 96. Give your answer to 2 decimal places

    Answer: Mean = 56.57, Median = 47, Range = 77