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Capstone Jul 15 - 21 25 questions
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Monday 15 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² - 3x - 5

    Answer: (x - 3⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 29cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 184.55cm²
  4. 4. Ratio

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

    Answer: 30:35:42
  5. 5. Statistics

    Find the mean, median and range of: 59, 26, 40, 82, 68, 53, 86, 64, 36. Give your answer to 2 decimal places

    Answer: Mean = 57.11, Median = 59, Range = 60

Tuesday 16 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√8

    Answer: 6√2
  2. 2. Algebra

    Complete the square: 5x² - 10x - 15

    Answer: 5(x - 1)² - 20
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 23cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 104.15cm²
  4. 4. Ratio

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

    Answer: 9:72:64
  5. 5. Statistics

    Find the mean, median and range of: 13, 75, 22, 63, 59, 44, 28. Give your answer to 2 decimal places

    Answer: Mean = 43.43, Median = 44, Range = 62

Wednesday 17 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² - x + 1

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

    Find area of triangle: a = 27cm, b = 25cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 319.11cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 75, 98, 22, 34, 82, 81, 46, 35. Give your answer to 2 decimal places

    Answer: Mean = 59.13, Median = 60.5, Range = 76

Thursday 18 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √468

    Answer: 6√13
  2. 2. Algebra

    Complete the square: 2x² - 4x - 15

    Answer: 2(x - 1)² - 17
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 12cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 58.25cm²
  4. 4. Ratio

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

    Answer: 4:10:15
  5. 5. Statistics

    Find the mean, median and range of: 31, 40, 96, 91, 91, 66, 96, 18, 94. Give your answer to 2 decimal places

    Answer: Mean = 69.22, Median = 91, Range = 78

Friday 19 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √810

    Answer: 9√10
  2. 2. Algebra

    Complete the square: 2x² + 12x - 1

    Answer: 2(x + 3)² - 19
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 12cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 109.58cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 15:10:12
  5. 5. Statistics

    Find the mean, median and range of: 37, 30, 10, 51, 49, 41, 44, 52

    Answer: Mean = 39.25, Median = 42.5, Range = 42