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Capstone Jul 4 - 10 25 questions
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Monday 4 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√50

    Answer: 20√2
  2. 2. Algebra

    Complete the square: 5x² + 60x + 8

    Answer: 5(x + 6)² - 172
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 18cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 136.57cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 5:4. Find a:b:c in its simplest form.

    Answer: 10:35:28
  5. 5. Statistics

    Find the mean, median and range of: 18, 24, 32, 65, 68, 19, 24, 66

    Answer: Mean = 39.5, Median = 28, Range = 50

Tuesday 5 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √637

    Answer: 7√13
  2. 2. Algebra

    Complete the square: 2x² + 16x + 8

    Answer: 2(x + 4)² - 24
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 17cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 114.39cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 28:24:27
  5. 5. Statistics

    Find the mean, median and range of: 41, 19, 61, 73, 63, 76, 41. Give your answer to 2 decimal places

    Answer: Mean = 53.43, Median = 61, Range = 57

Wednesday 6 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √704

    Answer: 8√11
  2. 2. Algebra

    Complete the square: x² + 5x - 7

    Answer: (x + 5⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 30cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 365.39cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 40:15:6
  5. 5. Statistics

    Find the mean, median and range of: 52, 90, 50, 96, 47, 19, 12, 66

    Answer: Mean = 54, Median = 51, Range = 84

Thursday 7 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√275

    Answer: 25√11
  2. 2. Algebra

    Complete the square: 4x² - 16x + 3

    Answer: 4(x - 2)² - 13
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 26cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 114.09cm²
  4. 4. Ratio

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

    Answer: 64:40:25
  5. 5. Statistics

    Find the mean, median and range of: 38, 49, 41, 52, 27, 16, 36, 62, 82. Give your answer to 2 decimal places

    Answer: Mean = 44.78, Median = 41, Range = 66

Friday 8 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √325

    Answer: 5√13
  2. 2. Algebra

    Complete the square: x² - x - 5

    Answer: (x - 1⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 17cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 197.94cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 33, 68, 60, 68, 67, 87, 98, 81, 24. Give your answer to 2 decimal places

    Answer: Mean = 65.11, Median = 68, Range = 74