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Capstone May 16 - 22 25 questions
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Monday 16 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √240

    Answer: 4√15
  2. 2. Algebra

    Complete the square: 4x² + 48x - 15

    Answer: 4(x + 6)² - 159
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 12cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 146.16cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 56:21:15
  5. 5. Statistics

    Find the mean, median and range of: 87, 27, 41, 76, 85, 21, 98, 33

    Answer: Mean = 58.5, Median = 58.5, Range = 77

Tuesday 17 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√176

    Answer: 20√11
  2. 2. Algebra

    Complete the square: x² + 3x + 12

    Answer: (x + 3⁄2)² + 39⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 13cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 115.22cm²
  4. 4. Ratio

    a:b is 9:7 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 72:56:35
  5. 5. Statistics

    Find the mean, median and range of: 64, 86, 51, 58, 63, 36, 81, 46. Give your answer to 2 decimal places

    Answer: Mean = 60.63, Median = 60.5, Range = 50

Wednesday 18 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√275

    Answer: 15√11
  2. 2. Algebra

    Complete the square: x² - 9x - 6

    Answer: (x - 9⁄2)² - 105⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 20cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 173.97cm²
  4. 4. Ratio

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

    Answer: 64:72:63
  5. 5. Statistics

    Find the mean, median and range of: 94, 86, 30, 59, 62, 33, 83, 15, 96

    Answer: Mean = 62, Median = 62, Range = 81

Thursday 19 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√28

    Answer: 6√7
  2. 2. Algebra

    Complete the square: 4x² - 48x + 4

    Answer: 4(x - 6)² - 140
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 16cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 70.93cm²
  4. 4. Ratio

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

    Answer: 10:35:49
  5. 5. Statistics

    Find the mean, median and range of: 85, 70, 91, 10, 46, 64, 67. Give your answer to 2 decimal places

    Answer: Mean = 61.86, Median = 67, Range = 81

Friday 20 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: 2x² + 8x - 5

    Answer: 2(x + 2)² - 13
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 25cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 242.71cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 5:4. Find a:b:c in its simplest form.

    Answer: 10:45:36
  5. 5. Statistics

    Find the mean, median and range of: 65, 39, 81, 22, 11, 58, 39

    Answer: Mean = 45, Median = 39, Range = 70