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Capstone Oct 21 - 27 25 questions
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Monday 21 October 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √540

    Answer: 6√15
  2. 2. Algebra

    Complete the square: x² - x + 1

    Answer: (x - 1⁄2)² + 3⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 21cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 142.63cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 15:18:16
  5. 5. Statistics

    Find the mean, median and range of: 34, 64, 82, 66, 19, 42, 58. Give your answer to 2 decimal places

    Answer: Mean = 52.14, Median = 58, Range = 63

Tuesday 22 October 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √180

    Answer: 6√5
  2. 2. Algebra

    Complete the square: x² + 7x - 11

    Answer: (x + 7⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 12cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 137.62cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 9:5. Find a:b:c in its simplest form.

    Answer: 9:72:40
  5. 5. Statistics

    Find the mean, median and range of: 43, 97, 60, 37, 68, 15, 47. Give your answer to 2 decimal places

    Answer: Mean = 52.43, Median = 47, Range = 82

Wednesday 23 October 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√50

    Answer: 20√2
  2. 2. Algebra

    Complete the square: 3x² - 12x - 5

    Answer: 3(x - 2)² - 17
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 20cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 162.86cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 14:18:81
  5. 5. Statistics

    Find the mean, median and range of: 50, 99, 69, 48, 91, 40, 25. Give your answer to 2 decimal places

    Answer: Mean = 60.29, Median = 50, Range = 74

Thursday 24 October 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√150

    Answer: 20√6
  2. 2. Algebra

    Complete the square: 4x² + 32x

    Answer: 4(x + 4)² - 64
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 21cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 236.42cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 35:21:27
  5. 5. Statistics

    Find the mean, median and range of: 62, 75, 69, 45, 61, 99, 98, 75, 42. Give your answer to 2 decimal places

    Answer: Mean = 69.56, Median = 69, Range = 57

Friday 25 October 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √1000

    Answer: 10√10
  2. 2. Algebra

    Complete the square: 3x² + 18x - 6

    Answer: 3(x + 3)² - 33
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 12cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 146.59cm²
  4. 4. Ratio

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

    Answer: 27:6:4
  5. 5. Statistics

    Find the mean, median and range of: 85, 36, 54, 69, 62, 97, 46, 19

    Answer: Mean = 58.5, Median = 58, Range = 78