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Capstone Feb 29 - Mar 6 25 questions
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Monday 29 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √336

    Answer: 4√21
  2. 2. Algebra

    Complete the square: 2x² + 8x - 6

    Answer: 2(x + 2)² - 14
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 17cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 226.01cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 7:35:10
  5. 5. Statistics

    Find the mean, median and range of: 83, 63, 98, 31, 30, 82, 64. Give your answer to 2 decimal places

    Answer: Mean = 64.43, Median = 64, Range = 68

Tuesday 1 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√48

    Answer: 20√3
  2. 2. Algebra

    Complete the square: x² + 9x

    Answer: (x + 9⁄2)² - 81⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 16cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 112.03cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 9:72:32
  5. 5. Statistics

    Find the mean, median and range of: 73, 28, 26, 53, 48, 81, 51. Give your answer to 2 decimal places

    Answer: Mean = 51.43, Median = 51, Range = 55

Wednesday 2 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² + 7x - 2

    Answer: (x + 7⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 21cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 208.49cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 45:10:2
  5. 5. Statistics

    Find the mean, median and range of: 64, 87, 84, 97, 26, 46, 10. Give your answer to 2 decimal places

    Answer: Mean = 59.14, Median = 64, Range = 87

Thursday 3 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 7x - 7

    Answer: (x + 7⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 15cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 109.7cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 14:21:27
  5. 5. Statistics

    Find the mean, median and range of: 48, 18, 43, 97, 91, 83, 80, 84

    Answer: Mean = 68, Median = 81.5, Range = 79

Friday 4 March 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√112

    Answer: 16√7
  2. 2. Algebra

    Complete the square: 3x² - 6x + 9

    Answer: 3(x - 1)² + 6
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 27cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 326cm²
  4. 4. Ratio

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

    Answer: 49:35:30
  5. 5. Statistics

    Find the mean, median and range of: 60, 48, 69, 22, 48, 71, 72, 54, 73. Give your answer to 2 decimal places

    Answer: Mean = 57.44, Median = 60, Range = 51