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Capstone May 4 - 10 25 questions
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Monday 4 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √325

    Answer: 5√13
  2. 2. Algebra

    Complete the square: x² + 7x - 6

    Answer: (x + 7⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 20cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 248.54cm²
  4. 4. Ratio

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

    Answer: 14:35:10
  5. 5. Statistics

    Find the mean, median and range of: 10, 85, 70, 100, 95, 60, 41. Give your answer to 2 decimal places

    Answer: Mean = 65.86, Median = 70, Range = 90

Tuesday 5 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: 5x² - 60x + 4

    Answer: 5(x - 6)² - 176
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 20cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 257.74cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 56:35:20
  5. 5. Statistics

    Find the mean, median and range of: 56, 71, 95, 54, 21, 71, 11. Give your answer to 2 decimal places

    Answer: Mean = 54.14, Median = 56, Range = 84

Wednesday 6 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √432

    Answer: 12√3
  2. 2. Algebra

    Complete the square: x² - 3x - 12

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

    Find area of triangle: a = 18cm, b = 12cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 83.93cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 32, 18, 26, 66, 68, 34, 67, 93

    Answer: Mean = 50.5, Median = 50, Range = 75

Thursday 7 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √352

    Answer: 4√22
  2. 2. Algebra

    Complete the square: x² + x - 9

    Answer: (x + 1⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 23cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 293.51cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 29, 46, 33, 78, 100, 39, 38, 22. Give your answer to 2 decimal places

    Answer: Mean = 48.13, Median = 38.5, Range = 78

Friday 8 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√8

    Answer: 6√2
  2. 2. Algebra

    Complete the square: x² - 9x - 1

    Answer: (x - 9⁄2)² - 85⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 21cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 107.51cm²
  4. 4. Ratio

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

    Answer: 9:63:7
  5. 5. Statistics

    Find the mean, median and range of: 86, 54, 97, 35, 100, 53, 74. Give your answer to 2 decimal places

    Answer: Mean = 71.29, Median = 74, Range = 65