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Capstone Feb 9 - 15 25 questions
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Monday 9 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √180

    Answer: 6√5
  2. 2. Algebra

    Complete the square: 4x² - 16x + 8

    Answer: 4(x - 2)² - 8
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 20cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 169.89cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 24:15:20
  5. 5. Statistics

    Find the mean, median and range of: 52, 82, 30, 28, 14, 16, 64. Give your answer to 2 decimal places

    Answer: Mean = 40.86, Median = 30, Range = 68

Tuesday 10 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√40

    Answer: 4√10
  2. 2. Algebra

    Complete the square: x² - 3x + 2

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

    Find area of triangle: a = 24cm, b = 18cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 138.84cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 6:7. Find a:b:c in its simplest form.

    Answer: 24:30:35
  5. 5. Statistics

    Find the mean, median and range of: 98, 49, 25, 15, 63, 12, 65, 10. Give your answer to 2 decimal places

    Answer: Mean = 42.13, Median = 37, Range = 88

Wednesday 11 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 + 12

    Answer: (x + 9⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 24cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 148.34cm²
  4. 4. Ratio

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

    Answer: 24:21:14
  5. 5. Statistics

    Find the mean, median and range of: 84, 14, 19, 29, 85, 98, 39. Give your answer to 2 decimal places

    Answer: Mean = 52.57, Median = 39, Range = 84

Thursday 12 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √832

    Answer: 8√13
  2. 2. Algebra

    Complete the square: x² + 11x + 9

    Answer: (x + 11⁄2)² - 85⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 124.81cm²
  4. 4. Ratio

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

    Answer: 3:12:10
  5. 5. Statistics

    Find the mean, median and range of: 82, 12, 52, 65, 85, 80, 69, 99

    Answer: Mean = 68, Median = 74.5, Range = 87

Friday 13 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √405

    Answer: 9√5
  2. 2. Algebra

    Complete the square: 3x² + 18x + 3

    Answer: 3(x + 3)² - 24
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 15cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 152.13cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 7:21:24
  5. 5. Statistics

    Find the mean, median and range of: 61, 14, 66, 68, 47, 19, 41, 30

    Answer: Mean = 43.25, Median = 44, Range = 54