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Capstone Feb 15 - 21 25 questions
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Monday 15 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √180

    Answer: 6√5
  2. 2. Algebra

    Complete the square: 3x² + 6x - 8

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

    Find area of triangle: a = 21cm, b = 18cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 168.4cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 16:14:63
  5. 5. Statistics

    Find the mean, median and range of: 73, 85, 14, 16, 90, 77, 65, 52

    Answer: Mean = 59, Median = 69, Range = 76

Tuesday 16 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: 5x² - 20x - 13

    Answer: 5(x - 2)² - 33
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 18cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 153.17cm²
  4. 4. Ratio

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

    Answer: 2:18:63
  5. 5. Statistics

    Find the mean, median and range of: 86, 35, 64, 26, 33, 34, 74, 71. Give your answer to 2 decimal places

    Answer: Mean = 52.88, Median = 49.5, Range = 60

Wednesday 17 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: x² - x + 9

    Answer: (x - 1⁄2)² + 35⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 13cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 151.71cm²
  4. 4. Ratio

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

    Answer: 40:35:63
  5. 5. Statistics

    Find the mean, median and range of: 10, 58, 15, 85, 98, 71, 25. Give your answer to 2 decimal places

    Answer: Mean = 51.71, Median = 58, Range = 88

Thursday 18 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 5x² + 50x + 5

    Answer: 5(x + 5)² - 120
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 20cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 115.91cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 7:14:12
  5. 5. Statistics

    Find the mean, median and range of: 73, 27, 54, 25, 72, 37, 60, 43, 88. Give your answer to 2 decimal places

    Answer: Mean = 53.22, Median = 54, Range = 63

Friday 19 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √504

    Answer: 6√14
  2. 2. Algebra

    Complete the square: x² - 3x - 12

    Answer: (x - 3⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 17cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 208.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 57, 75, 92, 26, 16, 76, 44, 21. Give your answer to 2 decimal places

    Answer: Mean = 50.88, Median = 50.5, Range = 76