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Capstone Nov 10 - 16 25 questions
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Monday 10 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√63

    Answer: 9√7
  2. 2. Algebra

    Complete the square: 4x² - 40x + 14

    Answer: 4(x - 5)² - 86
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 26cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 226.17cm²
  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: 42, 96, 50, 95, 65, 98, 24, 97, 42. Give your answer to 2 decimal places

    Answer: Mean = 67.67, Median = 65, Range = 74

Tuesday 11 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √468

    Answer: 6√13
  2. 2. Algebra

    Complete the square: x² - 7x + 4

    Answer: (x - 7⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 21cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 229.59cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 5:2. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 68, 89, 47, 75, 82, 14, 26. Give your answer to 2 decimal places

    Answer: Mean = 57.29, Median = 68, Range = 75

Wednesday 12 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √72

    Answer: 6√2
  2. 2. Algebra

    Complete the square: x² + 9x + 2

    Answer: (x + 9⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 26cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 341.cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 9:18:14
  5. 5. Statistics

    Find the mean, median and range of: 20, 90, 91, 39, 65, 17, 21

    Answer: Mean = 49, Median = 39, Range = 74

Thursday 13 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: 5x² + 30x - 6

    Answer: 5(x + 3)² - 51
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 18cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 110.06cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 3:15:20
  5. 5. Statistics

    Find the mean, median and range of: 34, 58, 46, 73, 53, 54, 90, 85, 86. Give your answer to 2 decimal places

    Answer: Mean = 64.33, Median = 58, Range = 56

Friday 14 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√50

    Answer: 15√2
  2. 2. Algebra

    Complete the square: x² - 5x + 9

    Answer: (x - 5⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 14cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 98.89cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 15:10:2
  5. 5. Statistics

    Find the mean, median and range of: 49, 85, 34, 26, 44, 86, 76, 78

    Answer: Mean = 59.75, Median = 62.5, Range = 60