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Capstone Jul 20 - 26 25 questions
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Monday 20 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√12

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² - x - 1

    Answer: (x - 1⁄2)² - 5⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 26cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 307.26cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 56:72:9
  5. 5. Statistics

    Find the mean, median and range of: 10, 25, 82, 32, 51, 10, 92, 66, 58. Give your answer to 2 decimal places

    Answer: Mean = 47.33, Median = 51, Range = 82

Tuesday 21 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √640

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² + 9x - 3

    Answer: (x + 9⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 22cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 242.71cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 4:36:9
  5. 5. Statistics

    Find the mean, median and range of: 44, 53, 64, 81, 57, 35, 98, 74

    Answer: Mean = 63.25, Median = 60.5, Range = 63

Wednesday 22 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 9x + 2

    Answer: (x + 9⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 12cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 119.63cm²
  4. 4. Ratio

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

    Answer: 7:21:12
  5. 5. Statistics

    Find the mean, median and range of: 12, 76, 18, 60, 24, 82, 63. Give your answer to 2 decimal places

    Answer: Mean = 47.86, Median = 60, Range = 70

Thursday 23 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √245

    Answer: 7√5
  2. 2. Algebra

    Complete the square: 3x² + 30x + 10

    Answer: 3(x + 5)² - 65
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 23cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 109.34cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 7:35:45
  5. 5. Statistics

    Find the mean, median and range of: 49, 54, 92, 34, 25, 32, 62. Give your answer to 2 decimal places

    Answer: Mean = 49.71, Median = 49, Range = 67

Friday 24 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √891

    Answer: 9√11
  2. 2. Algebra

    Complete the square: 5x² - 40x - 13

    Answer: 5(x - 4)² - 93
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 13cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 63.21cm²
  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: 23, 24, 26, 63, 92, 55, 46, 80, 62. Give your answer to 2 decimal places

    Answer: Mean = 52.33, Median = 55, Range = 69