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Capstone Nov 28 - Dec 4 25 questions
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Monday 28 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√28

    Answer: 8√7
  2. 2. Algebra

    Complete the square: 5x² + 20x - 5

    Answer: 5(x + 2)² - 25
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 13cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 166.43cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 35:20:8
  5. 5. Statistics

    Find the mean, median and range of: 84, 89, 10, 17, 15, 34, 88, 70. Give your answer to 2 decimal places

    Answer: Mean = 50.88, Median = 52, Range = 79

Tuesday 29 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: 3x² - 12x + 8

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

    Find area of triangle: a = 19cm, b = 14cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 101.88cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 48:40:15
  5. 5. Statistics

    Find the mean, median and range of: 35, 29, 72, 81, 88, 53, 73. Give your answer to 2 decimal places

    Answer: Mean = 61.57, Median = 72, Range = 59

Wednesday 30 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√96

    Answer: 12√6
  2. 2. Algebra

    Complete the square: 3x² - 18x - 15

    Answer: 3(x - 3)² - 42
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 19cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 91.04cm²
  4. 4. Ratio

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

    Answer: 49:56:64
  5. 5. Statistics

    Find the mean, median and range of: 79, 93, 31, 90, 26, 75, 51, 89

    Answer: Mean = 66.75, Median = 77, Range = 67

Thursday 1 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √224

    Answer: 4√14
  2. 2. Algebra

    Complete the square: x² + 5x - 12

    Answer: (x + 5⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 12cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 127.26cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 2:7. Find a:b:c in its simplest form.

    Answer: 12:14:49
  5. 5. Statistics

    Find the mean, median and range of: 81, 19, 61, 90, 57, 16, 64, 95, 37. Give your answer to 2 decimal places

    Answer: Mean = 57.78, Median = 61, Range = 79

Friday 2 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √405

    Answer: 9√5
  2. 2. Algebra

    Complete the square: x² - x - 2

    Answer: (x - 1⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 28cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 342.58cm²
  4. 4. Ratio

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

    Answer: 12:21:28
  5. 5. Statistics

    Find the mean, median and range of: 30, 40, 57, 61, 68, 30, 42, 24, 46. Give your answer to 2 decimal places

    Answer: Mean = 44.22, Median = 42, Range = 44