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Capstone Oct 24 - 30 25 questions
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Monday 24 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √640

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² - 9x + 1

    Answer: (x - 9⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 17cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 164.24cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 49:35:5
  5. 5. Statistics

    Find the mean, median and range of: 85, 27, 45, 42, 22, 53, 97, 31, 65. Give your answer to 2 decimal places

    Answer: Mean = 51.89, Median = 45, Range = 75

Tuesday 25 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√40

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² - 3x - 1

    Answer: (x - 3⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 12cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 60.38cm²
  4. 4. Ratio

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

    Answer: 45:72:40
  5. 5. Statistics

    Find the mean, median and range of: 15, 11, 67, 96, 19, 25, 68, 69

    Answer: Mean = 46.25, Median = 46, Range = 85

Wednesday 26 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: 2x² + 4x - 14

    Answer: 2(x + 1)² - 16
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 23cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 219.95cm²
  4. 4. Ratio

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

    Answer: 10:6:15
  5. 5. Statistics

    Find the mean, median and range of: 49, 53, 42, 68, 49, 17, 51, 63, 65. Give your answer to 2 decimal places

    Answer: Mean = 50.78, Median = 51, Range = 51

Thursday 27 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: x² - x + 7

    Answer: (x - 1⁄2)² + 27⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 13cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 93.82cm²
  4. 4. Ratio

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

    Answer: 24:21:56
  5. 5. Statistics

    Find the mean, median and range of: 27, 15, 66, 95, 40, 83, 40, 35. Give your answer to 2 decimal places

    Answer: Mean = 50.13, Median = 40, Range = 80

Friday 28 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √847

    Answer: 11√7
  2. 2. Algebra

    Complete the square: 4x² + 48x + 15

    Answer: 4(x + 6)² - 129
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 25cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 236.4cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 40:35:7
  5. 5. Statistics

    Find the mean, median and range of: 51, 91, 22, 57, 14, 32, 60, 52. Give your answer to 2 decimal places

    Answer: Mean = 47.38, Median = 51.5, Range = 77