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Capstone Sep 8 - 14 25 questions
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Monday 8 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √550

    Answer: 5√22
  2. 2. Algebra

    Complete the square: 5x² + 60x

    Answer: 5(x + 6)² - 180
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 19cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 185.13cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 21:14:16
  5. 5. Statistics

    Find the mean, median and range of: 99, 58, 64, 66, 97, 84, 88, 65. Give your answer to 2 decimal places

    Answer: Mean = 77.63, Median = 75, Range = 41

Tuesday 9 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √245

    Answer: 7√5
  2. 2. Algebra

    Complete the square: 2x² + 8x - 4

    Answer: 2(x + 2)² - 12
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 25cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 172.34cm²
  4. 4. Ratio

    a:b is 9:5 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 72:40:15
  5. 5. Statistics

    Find the mean, median and range of: 86, 69, 72, 27, 56, 90, 93, 28, 44. Give your answer to 2 decimal places

    Answer: Mean = 62.78, Median = 69, Range = 66

Wednesday 10 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 3x + 9

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

    Find area of triangle: a = 15cm, b = 25cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 151.69cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 16:56:7
  5. 5. Statistics

    Find the mean, median and range of: 86, 84, 38, 31, 60, 10, 29, 56

    Answer: Mean = 49.25, Median = 47, Range = 76

Thursday 11 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √304

    Answer: 4√19
  2. 2. Algebra

    Complete the square: x² - 5x - 3

    Answer: (x - 5⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 15cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 190.32cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 21:12:4
  5. 5. Statistics

    Find the mean, median and range of: 63, 42, 60, 50, 99, 81, 23. Give your answer to 2 decimal places

    Answer: Mean = 59.71, Median = 60, Range = 76

Friday 12 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: 5x² - 20x

    Answer: 5(x - 2)² - 20
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 15cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 151.54cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 2:18:9
  5. 5. Statistics

    Find the mean, median and range of: 38, 73, 62, 72, 46, 55, 40, 90, 75. Give your answer to 2 decimal places

    Answer: Mean = 61.22, Median = 62, Range = 52