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Capstone Dec 26 - Jan 1 25 questions
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Monday 26 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √275

    Answer: 5√11
  2. 2. Algebra

    Complete the square: 5x² + 10x + 8

    Answer: 5(x + 1)² + 3
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 23cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 192.19cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 32:12:3
  5. 5. Statistics

    Find the mean, median and range of: 97, 88, 92, 59, 46, 13, 81, 58, 71. Give your answer to 2 decimal places

    Answer: Mean = 67.22, Median = 71, Range = 84

Tuesday 27 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √550

    Answer: 5√22
  2. 2. Algebra

    Complete the square: x² - 5x + 2

    Answer: (x - 5⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 12cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 70.86cm²
  4. 4. Ratio

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

    Answer: 14:18:21
  5. 5. Statistics

    Find the mean, median and range of: 27, 91, 75, 74, 29, 64, 51. Give your answer to 2 decimal places

    Answer: Mean = 58.71, Median = 64, Range = 64

Wednesday 28 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√80

    Answer: 20√5
  2. 2. Algebra

    Complete the square: x² - 9x + 6

    Answer: (x - 9⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 19cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 186.41cm²
  4. 4. Ratio

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

    Answer: 16:24:21
  5. 5. Statistics

    Find the mean, median and range of: 86, 46, 33, 25, 43, 66, 19, 18

    Answer: Mean = 42, Median = 38, Range = 68

Thursday 29 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: x² + 9x - 2

    Answer: (x + 9⁄2)² - 89⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 19cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 228.54cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 5:4. Find a:b:c in its simplest form.

    Answer: 35:45:36
  5. 5. Statistics

    Find the mean, median and range of: 77, 37, 40, 93, 74, 22, 76. Give your answer to 2 decimal places

    Answer: Mean = 59.86, Median = 74, Range = 71

Friday 30 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: 4x² + 16x - 2

    Answer: 4(x + 2)² - 18
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 14cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 74.94cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 35:15:27
  5. 5. Statistics

    Find the mean, median and range of: 41, 27, 68, 53, 31, 44, 71, 98, 51. Give your answer to 2 decimal places

    Answer: Mean = 53.78, Median = 51, Range = 71