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Capstone Jan 21 - 27 25 questions
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Monday 21 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√160

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² - 9x - 5

    Answer: (x - 9⁄2)² - 101⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 13cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 126.14cm²
  4. 4. Ratio

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

    Answer: 54:63:49
  5. 5. Statistics

    Find the mean, median and range of: 70, 65, 23, 53, 63, 56, 95. Give your answer to 2 decimal places

    Answer: Mean = 60.71, Median = 63, Range = 72

Tuesday 22 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: x² + 5x + 9

    Answer: (x + 5⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 22cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 108.13cm²
  4. 4. Ratio

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

    Answer: 16:36:27
  5. 5. Statistics

    Find the mean, median and range of: 21, 22, 67, 74, 62, 65, 94, 75

    Answer: Mean = 60, Median = 66, Range = 73

Wednesday 23 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√160

    Answer: 20√10
  2. 2. Algebra

    Complete the square: 4x² - 16x - 1

    Answer: 4(x - 2)² - 17
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 26cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 216.73cm²
  4. 4. Ratio

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

    Answer: 49:28:12
  5. 5. Statistics

    Find the mean, median and range of: 25, 64, 64, 45, 60, 93, 67, 86, 79. Give your answer to 2 decimal places

    Answer: Mean = 64.78, Median = 64, Range = 68

Thursday 24 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √833

    Answer: 7√17
  2. 2. Algebra

    Complete the square: 4x² + 32x - 11

    Answer: 4(x + 4)² - 75
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 19cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 186.77cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 56:63:36
  5. 5. Statistics

    Find the mean, median and range of: 35, 16, 96, 71, 32, 30, 89, 32. Give your answer to 2 decimal places

    Answer: Mean = 50.13, Median = 33.5, Range = 80

Friday 25 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: x² + x - 10

    Answer: (x + 1⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 24cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 225.07cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 14:35:30
  5. 5. Statistics

    Find the mean, median and range of: 38, 22, 48, 88, 98, 73, 69, 52, 52

    Answer: Mean = 60, Median = 52, Range = 76