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Capstone Apr 4 - 10 25 questions
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Monday 4 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√45

    Answer: 6√5
  2. 2. Algebra

    Complete the square: x² - 3x + 9

    Answer: (x - 3⁄2)² + 27⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 24cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 298.24cm²
  4. 4. Ratio

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

    Answer: 9:6:16
  5. 5. Statistics

    Find the mean, median and range of: 62, 77, 16, 42, 68, 32, 81

    Answer: Mean = 54, Median = 62, Range = 65

Tuesday 5 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√50

    Answer: 25√2
  2. 2. Algebra

    Complete the square: 3x² - 30x + 11

    Answer: 3(x - 5)² - 64
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 28cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 324.01cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 12:14:21
  5. 5. Statistics

    Find the mean, median and range of: 27, 37, 100, 25, 93, 94, 62, 70, 25. Give your answer to 2 decimal places

    Answer: Mean = 59.22, Median = 62, Range = 75

Wednesday 6 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √80

    Answer: 4√5
  2. 2. Algebra

    Complete the square: x² - 11x + 7

    Answer: (x - 11⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 24cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 138.84cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 4:14:21
  5. 5. Statistics

    Find the mean, median and range of: 56, 38, 89, 65, 26, 90, 38, 95. Give your answer to 2 decimal places

    Answer: Mean = 62.13, Median = 60.5, Range = 69

Thursday 7 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: x² - 9x + 7

    Answer: (x - 9⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 17cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 127.8cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 48:56:7
  5. 5. Statistics

    Find the mean, median and range of: 51, 63, 67, 86, 50, 78, 69. Give your answer to 2 decimal places

    Answer: Mean = 66.29, Median = 67, Range = 36

Friday 8 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: 5x² - 20x + 6

    Answer: 5(x - 2)² - 14
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 19cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 241.6cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 5:4. Find a:b:c in its simplest form.

    Answer: 30:35:28
  5. 5. Statistics

    Find the mean, median and range of: 62, 82, 62, 29, 80, 83, 84, 59, 11. Give your answer to 2 decimal places

    Answer: Mean = 61.33, Median = 62, Range = 73