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Capstone Sep 18 - 24 25 questions
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Monday 18 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√48

    Answer: 20√3
  2. 2. Algebra

    Complete the square: x² + x - 11

    Answer: (x + 1⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 18cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 94.47cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 42:35:25
  5. 5. Statistics

    Find the mean, median and range of: 98, 17, 21, 53, 48, 81, 75, 22. Give your answer to 2 decimal places

    Answer: Mean = 51.88, Median = 50.5, Range = 81

Tuesday 19 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: x² + 3x - 3

    Answer: (x + 3⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 14cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 122.45cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 21:14:16
  5. 5. Statistics

    Find the mean, median and range of: 36, 49, 27, 76, 72, 50, 11. Give your answer to 2 decimal places

    Answer: Mean = 45.86, Median = 49, Range = 65

Wednesday 20 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√125

    Answer: 15√5
  2. 2. Algebra

    Complete the square: x² + 3x + 2

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

    Find area of triangle: a = 26cm, b = 13cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 133.17cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 27:72:16
  5. 5. Statistics

    Find the mean, median and range of: 35, 50, 75, 70, 32, 79, 78. Give your answer to 2 decimal places

    Answer: Mean = 59.86, Median = 70, Range = 47

Thursday 21 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√176

    Answer: 12√11
  2. 2. Algebra

    Complete the square: x² - 5x - 9

    Answer: (x - 5⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 23cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 243.02cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 48, 19, 72, 39, 13, 47, 38, 86, 27. Give your answer to 2 decimal places

    Answer: Mean = 43.22, Median = 39, Range = 73

Friday 22 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √1000

    Answer: 10√10
  2. 2. Algebra

    Complete the square: 2x² + 20x - 10

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

    Find area of triangle: a = 26cm, b = 27cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 272.78cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 63:14:18
  5. 5. Statistics

    Find the mean, median and range of: 15, 34, 20, 30, 78, 97, 46. Give your answer to 2 decimal places

    Answer: Mean = 45.71, Median = 34, Range = 82