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Capstone Dec 2 - 8 25 questions
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Monday 2 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√8

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² - 5x - 8

    Answer: (x - 5⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 16cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 117.8cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 35:45:27
  5. 5. Statistics

    Find the mean, median and range of: 62, 42, 58, 100, 14, 15, 47. Give your answer to 2 decimal places

    Answer: Mean = 48.29, Median = 47, Range = 86

Tuesday 3 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: 3x² - 6x - 4

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

    Find area of triangle: a = 15cm, b = 12cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 78.72cm²
  4. 4. Ratio

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

    Answer: 7:14:4
  5. 5. Statistics

    Find the mean, median and range of: 61, 64, 45, 91, 49, 88, 89, 52, 15. Give your answer to 2 decimal places

    Answer: Mean = 61.56, Median = 61, Range = 76

Wednesday 4 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √72

    Answer: 6√2
  2. 2. Algebra

    Complete the square: 4x² - 32x + 6

    Answer: 4(x - 4)² - 58
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 25cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 304.02cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 7:63:45
  5. 5. Statistics

    Find the mean, median and range of: 36, 70, 26, 58, 23, 14, 82. Give your answer to 2 decimal places

    Answer: Mean = 44.14, Median = 36, Range = 68

Thursday 5 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² - 3x - 4

    Answer: (x - 3⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 25cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 194.55cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 90, 52, 92, 39, 53, 10, 44, 54, 34

    Answer: Mean = 52, Median = 52, Range = 82

Friday 6 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√150

    Answer: 15√6
  2. 2. Algebra

    Complete the square: x² + 9x - 4

    Answer: (x + 9⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 16cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 144.53cm²
  4. 4. Ratio

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

    Answer: 25:35:56
  5. 5. Statistics

    Find the mean, median and range of: 100, 20, 53, 85, 79, 100, 47. Give your answer to 2 decimal places

    Answer: Mean = 69.14, Median = 79, Range = 80