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Capstone Oct 9 - 15 25 questions
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Monday 9 October 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√80

    Answer: 16√5
  2. 2. Algebra

    Complete the square: x² + 11x - 2

    Answer: (x + 11⁄2)² - 129⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 17cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 182.15cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 28:63:27
  5. 5. Statistics

    Find the mean, median and range of: 36, 73, 31, 11, 96, 61, 45, 49, 28. Give your answer to 2 decimal places

    Answer: Mean = 47.78, Median = 45, Range = 85

Tuesday 10 October 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√45

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 2x² + 24x + 7

    Answer: 2(x + 6)² - 65
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 30cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 312.12cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 4:7. Find a:b:c in its simplest form.

    Answer: 20:36:63
  5. 5. Statistics

    Find the mean, median and range of: 53, 95, 89, 53, 38, 98, 65. Give your answer to 2 decimal places

    Answer: Mean = 70.14, Median = 65, Range = 60

Wednesday 11 October 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: x² + x

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

    Find area of triangle: a = 28cm, b = 13cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 154.34cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 5:9. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 96, 63, 16, 96, 36, 20, 17, 67. Give your answer to 2 decimal places

    Answer: Mean = 51.38, Median = 49.5, Range = 80

Thursday 12 October 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√275

    Answer: 10√11
  2. 2. Algebra

    Complete the square: 2x² + 20x - 10

    Answer: 2(x + 5)² - 60
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 17cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 119.81cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 9:24:32
  5. 5. Statistics

    Find the mean, median and range of: 61, 76, 16, 61, 100, 10, 99, 15, 83. Give your answer to 2 decimal places

    Answer: Mean = 57.89, Median = 61, Range = 90

Friday 13 October 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√175

    Answer: 15√7
  2. 2. Algebra

    Complete the square: x² + 7x + 11

    Answer: (x + 7⁄2)² - 5⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 13cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 84.23cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 18, 85, 94, 74, 39, 66, 77, 98, 30. Give your answer to 2 decimal places

    Answer: Mean = 64.56, Median = 74, Range = 80