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Capstone Jan 4 - 10 25 questions
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Monday 4 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: 5x² + 30x - 13

    Answer: 5(x + 3)² - 58
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 26cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 230.59cm²
  4. 4. Ratio

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

    Answer: 4:10:15
  5. 5. Statistics

    Find the mean, median and range of: 54, 54, 44, 14, 37, 37, 41, 50, 62. Give your answer to 2 decimal places

    Answer: Mean = 43.67, Median = 44, Range = 48

Tuesday 5 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² + x + 4

    Answer: (x + 1⁄2)² + 15⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 13cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 90.4cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 5:20:36
  5. 5. Statistics

    Find the mean, median and range of: 74, 85, 45, 22, 83, 32, 83, 45, 66. Give your answer to 2 decimal places

    Answer: Mean = 59.44, Median = 66, Range = 63

Wednesday 6 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √216

    Answer: 6√6
  2. 2. Algebra

    Complete the square: x² - 9x - 12

    Answer: (x - 9⁄2)² - 129⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 29cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 325.81cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 18:45:5
  5. 5. Statistics

    Find the mean, median and range of: 52, 90, 39, 91, 13, 74, 70, 39, 53. Give your answer to 2 decimal places

    Answer: Mean = 57.89, Median = 53, Range = 78

Thursday 7 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√8

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 5x - 7

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

    Find area of triangle: a = 22cm, b = 21cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 168.94cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 12:30:25
  5. 5. Statistics

    Find the mean, median and range of: 17, 67, 30, 48, 33, 50, 25, 43. Give your answer to 2 decimal places

    Answer: Mean = 39.13, Median = 38, Range = 50

Friday 8 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √704

    Answer: 8√11
  2. 2. Algebra

    Complete the square: x² + 7x - 12

    Answer: (x + 7⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 19cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 147.48cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 10:45:72
  5. 5. Statistics

    Find the mean, median and range of: 86, 58, 13, 55, 38, 23, 31, 57. Give your answer to 2 decimal places

    Answer: Mean = 45.13, Median = 46.5, Range = 73