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Capstone Feb 13 - 19 25 questions
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Monday 13 February 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √224

    Answer: 4√14
  2. 2. Algebra

    Complete the square: 5x² + 30x + 1

    Answer: 5(x + 3)² - 44
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 23cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 161.6cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 4:18:9
  5. 5. Statistics

    Find the mean, median and range of: 94, 22, 98, 19, 97, 84, 92. Give your answer to 2 decimal places

    Answer: Mean = 72.29, Median = 92, Range = 79

Tuesday 14 February 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√54

    Answer: 12√6
  2. 2. Algebra

    Complete the square: x² + 11x + 8

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

    Find area of triangle: a = 27cm, b = 19cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 226.48cm²
  4. 4. Ratio

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

    Answer: 35:10:4
  5. 5. Statistics

    Find the mean, median and range of: 14, 39, 53, 36, 76, 31, 27, 87. Give your answer to 2 decimal places

    Answer: Mean = 45.38, Median = 37.5, Range = 73

Wednesday 15 February 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √539

    Answer: 7√11
  2. 2. Algebra

    Complete the square: x² + x + 10

    Answer: (x + 1⁄2)² + 39⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 28cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 315.23cm²
  4. 4. Ratio

    a:b is 5:7 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 40:56:63
  5. 5. Statistics

    Find the mean, median and range of: 14, 98, 73, 40, 62, 98, 91, 15. Give your answer to 2 decimal places

    Answer: Mean = 61.38, Median = 67.5, Range = 84

Thursday 16 February 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √252

    Answer: 6√7
  2. 2. Algebra

    Complete the square: x² + 5x + 1

    Answer: (x + 5⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 20cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 209.23cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 18:45:20
  5. 5. Statistics

    Find the mean, median and range of: 39, 100, 83, 56, 24, 71, 92, 96, 73. Give your answer to 2 decimal places

    Answer: Mean = 70.44, Median = 73, Range = 76

Friday 17 February 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² - x - 12

    Answer: (x - 1⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 12cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 125.07cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 63:14:2
  5. 5. Statistics

    Find the mean, median and range of: 34, 72, 43, 83, 69, 68, 36, 48, 23. Give your answer to 2 decimal places

    Answer: Mean = 52.89, Median = 48, Range = 60