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Capstone May 19 - 25 25 questions
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Monday 19 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: 2x² - 4x

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

    Find area of triangle: a = 17cm, b = 14cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 113.18cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 20:12:3
  5. 5. Statistics

    Find the mean, median and range of: 50, 78, 30, 61, 29, 19, 77, 31, 12

    Answer: Mean = 43, Median = 31, Range = 66

Tuesday 20 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√48

    Answer: 20√3
  2. 2. Algebra

    Complete the square: 5x² - 40x + 6

    Answer: 5(x - 4)² - 74
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 19cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 249.96cm²
  4. 4. Ratio

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

    Answer: 27:18:4
  5. 5. Statistics

    Find the mean, median and range of: 39, 57, 94, 27, 87, 68, 24, 97, 79. Give your answer to 2 decimal places

    Answer: Mean = 63.56, Median = 68, Range = 73

Wednesday 21 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: 2x² - 16x - 12

    Answer: 2(x - 4)² - 44
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 18cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 161.78cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 24:28:21
  5. 5. Statistics

    Find the mean, median and range of: 24, 47, 35, 48, 93, 97, 78. Give your answer to 2 decimal places

    Answer: Mean = 60.29, Median = 48, Range = 73

Thursday 22 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√75

    Answer: 25√3
  2. 2. Algebra

    Complete the square: x² + 9x - 8

    Answer: (x + 9⁄2)² - 113⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 17cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 150.68cm²
  4. 4. Ratio

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

    Answer: 7:35:45
  5. 5. Statistics

    Find the mean, median and range of: 75, 93, 39, 84, 93, 56, 99

    Answer: Mean = 77, Median = 84, Range = 60

Friday 23 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√28

    Answer: 4√7
  2. 2. Algebra

    Complete the square: x² + 9x + 5

    Answer: (x + 9⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 25cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 144.79cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 10:18:27
  5. 5. Statistics

    Find the mean, median and range of: 94, 13, 51, 44, 11, 98, 15. Give your answer to 2 decimal places

    Answer: Mean = 46.57, Median = 44, Range = 87