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Capstone Oct 2 - 8 25 questions
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Monday 2 October 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² + 11x - 6

    Answer: (x + 11⁄2)² - 145⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 21cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 145.88cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 25:30:54
  5. 5. Statistics

    Find the mean, median and range of: 31, 38, 73, 65, 23, 29, 15, 34, 98. Give your answer to 2 decimal places

    Answer: Mean = 45.11, Median = 34, Range = 83

Tuesday 3 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 - 11x + 8

    Answer: (x - 11⁄2)² - 89⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 18cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 102.38cm²
  4. 4. Ratio

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

    Answer: 64:40:25
  5. 5. Statistics

    Find the mean, median and range of: 64, 26, 58, 32, 38, 87, 88. Give your answer to 2 decimal places

    Answer: Mean = 56.14, Median = 58, Range = 62

Wednesday 4 October 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √405

    Answer: 9√5
  2. 2. Algebra

    Complete the square: 3x² + 6x + 12

    Answer: 3(x + 1)² + 9
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 14cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 124cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 24:40:35
  5. 5. Statistics

    Find the mean, median and range of: 30, 69, 13, 97, 81, 67, 90, 79, 82. Give your answer to 2 decimal places

    Answer: Mean = 67.56, Median = 79, Range = 84

Thursday 5 October 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: 4x² - 48x + 4

    Answer: 4(x - 6)² - 140
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 22cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 202.79cm²
  4. 4. Ratio

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

    Answer: 8:40:25
  5. 5. Statistics

    Find the mean, median and range of: 94, 26, 14, 66, 97, 71, 38, 37, 19. Give your answer to 2 decimal places

    Answer: Mean = 51.33, Median = 38, Range = 83

Friday 6 October 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √180

    Answer: 6√5
  2. 2. Algebra

    Complete the square: x² - x + 3

    Answer: (x - 1⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 24cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 176.69cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 7:56:72
  5. 5. Statistics

    Find the mean, median and range of: 92, 19, 20, 43, 63, 90, 98. Give your answer to 2 decimal places

    Answer: Mean = 60.71, Median = 63, Range = 79