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Capstone Feb 10 - 16 25 questions
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Monday 10 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √275

    Answer: 5√11
  2. 2. Algebra

    Complete the square: x² + 9x - 4

    Answer: (x + 9⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 18cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 184.39cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 3:8. Find a:b:c in its simplest form.

    Answer: 9:12:32
  5. 5. Statistics

    Find the mean, median and range of: 76, 80, 88, 22, 22, 53, 19, 27. Give your answer to 2 decimal places

    Answer: Mean = 48.38, Median = 40, Range = 69

Tuesday 11 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √960

    Answer: 8√15
  2. 2. Algebra

    Complete the square: x² - 7x + 4

    Answer: (x - 7⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 13cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 74.81cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 24:30:5
  5. 5. Statistics

    Find the mean, median and range of: 98, 69, 34, 79, 12, 79, 19, 36

    Answer: Mean = 53.25, Median = 52.5, Range = 86

Wednesday 12 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√90

    Answer: 15√10
  2. 2. Algebra

    Complete the square: 2x² - 12x + 8

    Answer: 2(x - 3)² - 10
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 203.08cm²
  4. 4. Ratio

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

    Answer: 64:72:45
  5. 5. Statistics

    Find the mean, median and range of: 84, 23, 14, 54, 99, 25, 26, 35, 48. Give your answer to 2 decimal places

    Answer: Mean = 45.33, Median = 35, Range = 85

Thursday 13 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: 4x² - 32x + 8

    Answer: 4(x - 4)² - 56
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 21cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 261.96cm²
  4. 4. Ratio

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

    Answer: 25:40:24
  5. 5. Statistics

    Find the mean, median and range of: 23, 68, 27, 55, 73, 77, 77, 68

    Answer: Mean = 58.5, Median = 68, Range = 54

Friday 14 February 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² - 5x - 8

    Answer: (x - 5⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 29cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 296.94cm²
  4. 4. Ratio

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

    Answer: 18:10:25
  5. 5. Statistics

    Find the mean, median and range of: 18, 38, 35, 34, 53, 66, 85, 89, 73. Give your answer to 2 decimal places

    Answer: Mean = 54.56, Median = 53, Range = 71