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Capstone Feb 2 - 8 25 questions
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Monday 2 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: 2x² - 20x - 3

    Answer: 2(x - 5)² - 53
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 15cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 128.58cm²
  4. 4. Ratio

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

    Answer: 56:21:9
  5. 5. Statistics

    Find the mean, median and range of: 64, 83, 50, 99, 45, 71, 39, 36, 66. Give your answer to 2 decimal places

    Answer: Mean = 61.44, Median = 64, Range = 63

Tuesday 3 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√125

    Answer: 25√5
  2. 2. Algebra

    Complete the square: 5x² - 40x - 1

    Answer: 5(x - 4)² - 81
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 23cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 223.68cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 24:15:5
  5. 5. Statistics

    Find the mean, median and range of: 36, 66, 66, 85, 76, 76, 50

    Answer: Mean = 65, Median = 66, Range = 49

Wednesday 4 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √640

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² + 7x + 3

    Answer: (x + 7⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 18cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 179.27cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 32:28:7
  5. 5. Statistics

    Find the mean, median and range of: 29, 20, 83, 56, 83, 76, 90. Give your answer to 2 decimal places

    Answer: Mean = 62.43, Median = 76, Range = 70

Thursday 5 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² - 9x - 4

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

    Find area of triangle: a = 12cm, b = 21cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 80.99cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 5:4. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 89, 90, 56, 26, 56, 27, 28, 63. Give your answer to 2 decimal places

    Answer: Mean = 54.38, Median = 56, Range = 64

Friday 6 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√28

    Answer: 4√7
  2. 2. Algebra

    Complete the square: x² + 5x - 3

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

    Find area of triangle: a = 21cm, b = 15cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 103.33cm²
  4. 4. Ratio

    a:b is 9:4 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 27:12:8
  5. 5. Statistics

    Find the mean, median and range of: 21, 18, 31, 27, 22, 88, 25, 15. Give your answer to 2 decimal places

    Answer: Mean = 30.88, Median = 23.5, Range = 73