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Capstone Jan 14 - 20 25 questions
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Monday 14 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: 2x² - 16x - 11

    Answer: 2(x - 4)² - 43
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 22cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 232.89cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 6:7. Find a:b:c in its simplest form.

    Answer: 24:30:35
  5. 5. Statistics

    Find the mean, median and range of: 39, 15, 59, 91, 17, 84, 88, 22, 59. Give your answer to 2 decimal places

    Answer: Mean = 52.67, Median = 59, Range = 76

Tuesday 15 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√75

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 4x² + 32x - 6

    Answer: 4(x + 4)² - 70
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 21cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 139.28cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 32:12:27
  5. 5. Statistics

    Find the mean, median and range of: 26, 35, 56, 50, 64, 42, 43, 83. Give your answer to 2 decimal places

    Answer: Mean = 49.88, Median = 46.5, Range = 57

Wednesday 16 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√80

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 5x² - 10x + 13

    Answer: 5(x - 1)² + 8
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 27cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 239.13cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 2:14:21
  5. 5. Statistics

    Find the mean, median and range of: 25, 88, 20, 45, 75, 99, 22, 68, 66. Give your answer to 2 decimal places

    Answer: Mean = 56.44, Median = 66, Range = 79

Thursday 17 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√96

    Answer: 8√6
  2. 2. Algebra

    Complete the square: x² + 5x - 6

    Answer: (x + 5⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 25cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 128.05cm²
  4. 4. Ratio

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

    Answer: 25:45:72
  5. 5. Statistics

    Find the mean, median and range of: 39, 13, 45, 70, 70, 12, 90, 73

    Answer: Mean = 51.5, Median = 57.5, Range = 78

Friday 18 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √726

    Answer: 11√6
  2. 2. Algebra

    Complete the square: x² + x + 12

    Answer: (x + 1⁄2)² + 47⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 21cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 168.94cm²
  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: 51, 87, 87, 45, 10, 26, 58, 65, 76. Give your answer to 2 decimal places

    Answer: Mean = 56.11, Median = 58, Range = 77