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Capstone Dec 19 - 25 25 questions
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Monday 19 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² + 9x

    Answer: (x + 9⁄2)² - 81⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 328.76cm²
  4. 4. Ratio

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

    Answer: 3:12:16
  5. 5. Statistics

    Find the mean, median and range of: 42, 32, 54, 41, 91, 82, 94, 61. Give your answer to 2 decimal places

    Answer: Mean = 62.13, Median = 57.5, Range = 62

Tuesday 20 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √810

    Answer: 9√10
  2. 2. Algebra

    Complete the square: 2x² - 16x + 2

    Answer: 2(x - 4)² - 30
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 17cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 207.05cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 21:15:20
  5. 5. Statistics

    Find the mean, median and range of: 73, 68, 40, 14, 30, 15, 13. Give your answer to 2 decimal places

    Answer: Mean = 36.14, Median = 30, Range = 60

Wednesday 21 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: 2x² + 20x + 2

    Answer: 2(x + 5)² - 48
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 17cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 132.23cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 63:56:16
  5. 5. Statistics

    Find the mean, median and range of: 31, 87, 12, 72, 83, 26, 69. Give your answer to 2 decimal places

    Answer: Mean = 54.29, Median = 69, Range = 75

Thursday 22 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √32

    Answer: 4√2
  2. 2. Algebra

    Complete the square: x² - 5x + 4

    Answer: (x - 5⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 28cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 252.86cm²
  4. 4. Ratio

    a:b is 7:8 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 35:40:48
  5. 5. Statistics

    Find the mean, median and range of: 50, 14, 61, 63, 97, 21, 84, 39, 57

    Answer: Mean = 54, Median = 57, Range = 83

Friday 23 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: 5x² - 40x - 4

    Answer: 5(x - 4)² - 84
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 27cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 366.77cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 79, 54, 82, 81, 36, 98, 87, 93

    Answer: Mean = 76.25, Median = 81.5, Range = 62