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Capstone Aug 20 - 26 25 questions
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Monday 20 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √224

    Answer: 4√14
  2. 2. Algebra

    Complete the square: 5x² + 60x - 14

    Answer: 5(x + 6)² - 194
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 23cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 177.73cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 21:56:72
  5. 5. Statistics

    Find the mean, median and range of: 36, 16, 76, 13, 74, 14, 63, 44

    Answer: Mean = 42, Median = 40, Range = 63

Tuesday 21 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: x² + 9x - 11

    Answer: (x + 9⁄2)² - 125⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 19cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 168.28cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 9:45:20
  5. 5. Statistics

    Find the mean, median and range of: 54, 56, 86, 95, 69, 54, 56. Give your answer to 2 decimal places

    Answer: Mean = 67.14, Median = 56, Range = 41

Wednesday 22 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√54

    Answer: 6√6
  2. 2. Algebra

    Complete the square: x² + 3x - 8

    Answer: (x + 3⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 30cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 141.84cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 3:7. Find a:b:c in its simplest form.

    Answer: 12:15:35
  5. 5. Statistics

    Find the mean, median and range of: 38, 72, 39, 48, 39, 100, 11, 74. Give your answer to 2 decimal places

    Answer: Mean = 52.63, Median = 43.5, Range = 89

Thursday 23 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: 2x² + 8x - 6

    Answer: 2(x + 2)² - 14
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 16cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 128.72cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 4:7. Find a:b:c in its simplest form.

    Answer: 4:36:63
  5. 5. Statistics

    Find the mean, median and range of: 33, 28, 84, 81, 70, 22, 46

    Answer: Mean = 52, Median = 46, Range = 62

Friday 24 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √432

    Answer: 12√3
  2. 2. Algebra

    Complete the square: 5x² + 40x + 15

    Answer: 5(x + 4)² - 65
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 12cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 93.9cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 9:24:4
  5. 5. Statistics

    Find the mean, median and range of: 54, 74, 44, 48, 26, 32, 72

    Answer: Mean = 50, Median = 48, Range = 48