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Capstone Dec 29 - Jan 4 25 questions
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Monday 29 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√18

    Answer: 15√2
  2. 2. Algebra

    Complete the square: x² - 7x - 12

    Answer: (x - 7⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 17cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 150.cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 16:18:27
  5. 5. Statistics

    Find the mean, median and range of: 23, 76, 57, 71, 47, 86, 51. Give your answer to 2 decimal places

    Answer: Mean = 58.71, Median = 57, Range = 63

Tuesday 30 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√75

    Answer: 15√3
  2. 2. Algebra

    Complete the square: x² - 3x

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

    Find area of triangle: a = 25cm, b = 25cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 265.02cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 20:15:6
  5. 5. Statistics

    Find the mean, median and range of: 83, 13, 43, 75, 48, 44, 73. Give your answer to 2 decimal places

    Answer: Mean = 54.14, Median = 48, Range = 70

Wednesday 31 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: 3x² + 12x - 15

    Answer: 3(x + 2)² - 27
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 23cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 290.12cm²
  4. 4. Ratio

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

    Answer: 27:72:32
  5. 5. Statistics

    Find the mean, median and range of: 14, 42, 75, 52, 22, 34, 51. Give your answer to 2 decimal places

    Answer: Mean = 41.43, Median = 42, Range = 61

Thursday 1 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: 3x² + 24x + 12

    Answer: 3(x + 4)² - 36
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 28cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 314.58cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 3:7. Find a:b:c in its simplest form.

    Answer: 18:21:49
  5. 5. Statistics

    Find the mean, median and range of: 78, 44, 63, 33, 88, 81, 68, 25, 24

    Answer: Mean = 56, Median = 63, Range = 64

Friday 2 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: 3x² + 24x - 9

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

    Find area of triangle: a = 27cm, b = 21cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 276.23cm²
  4. 4. Ratio

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

    Answer: 3:21:49
  5. 5. Statistics

    Find the mean, median and range of: 60, 72, 67, 84, 60, 28, 89. Give your answer to 2 decimal places

    Answer: Mean = 65.71, Median = 67, Range = 61