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Capstone Feb 22 - 28 25 questions
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Monday 22 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √539

    Answer: 7√11
  2. 2. Algebra

    Complete the square: 5x² - 60x + 10

    Answer: 5(x - 6)² - 170
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 28cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 207.89cm²
  4. 4. Ratio

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

    Answer: 4:18:81
  5. 5. Statistics

    Find the mean, median and range of: 11, 55, 70, 77, 75, 76, 18, 57, 52. Give your answer to 2 decimal places

    Answer: Mean = 54.56, Median = 57, Range = 66

Tuesday 23 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√50

    Answer: 25√2
  2. 2. Algebra

    Complete the square: x² + 7x + 3

    Answer: (x + 7⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 20cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 128.03cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 8:24:21
  5. 5. Statistics

    Find the mean, median and range of: 20, 24, 100, 57, 64, 77, 35, 56, 47. Give your answer to 2 decimal places

    Answer: Mean = 53.33, Median = 56, Range = 80

Wednesday 24 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√80

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 3x² - 18x - 4

    Answer: 3(x - 3)² - 31
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 28cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 269.97cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 16:12:27
  5. 5. Statistics

    Find the mean, median and range of: 92, 16, 20, 13, 45, 22, 86

    Answer: Mean = 42, Median = 22, Range = 79

Thursday 25 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: x² - 9x

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

    Find area of triangle: a = 21cm, b = 19cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 152.83cm²
  4. 4. Ratio

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

    Answer: 25:15:24
  5. 5. Statistics

    Find the mean, median and range of: 74, 75, 40, 68, 47, 72, 36, 27. Give your answer to 2 decimal places

    Answer: Mean = 54.88, Median = 57.5, Range = 48

Friday 26 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² - x + 8

    Answer: (x - 1⁄2)² + 31⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 27cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 328.85cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 12:10:15
  5. 5. Statistics

    Find the mean, median and range of: 58, 52, 91, 72, 30, 29, 25

    Answer: Mean = 51, Median = 52, Range = 66