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Capstone Feb 27 - Mar 5 25 questions
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Monday 27 February 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√40

    Answer: 6√10
  2. 2. Algebra

    Complete the square: x² - 3x + 5

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

    Find area of triangle: a = 26cm, b = 20cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 239.33cm²
  4. 4. Ratio

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

    Answer: 4:6:21
  5. 5. Statistics

    Find the mean, median and range of: 19, 37, 62, 51, 29, 63, 47, 98

    Answer: Mean = 50.75, Median = 49, Range = 79

Tuesday 28 February 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √48

    Answer: 4√3
  2. 2. Algebra

    Complete the square: 3x² - 24x + 6

    Answer: 3(x - 4)² - 42
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 25cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 344.76cm²
  4. 4. Ratio

    a:b is 3:7 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 15:35:14
  5. 5. Statistics

    Find the mean, median and range of: 84, 96, 63, 88, 68, 79, 99, 68. Give your answer to 2 decimal places

    Answer: Mean = 80.63, Median = 81.5, Range = 36

Wednesday 1 March 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√50

    Answer: 20√2
  2. 2. Algebra

    Complete the square: 5x² + 30x - 12

    Answer: 5(x + 3)² - 57
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 29cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 307.53cm²
  4. 4. Ratio

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

    Answer: 21:6:4
  5. 5. Statistics

    Find the mean, median and range of: 17, 83, 85, 61, 89, 49, 41. Give your answer to 2 decimal places

    Answer: Mean = 60.71, Median = 61, Range = 72

Thursday 2 March 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√112

    Answer: 20√7
  2. 2. Algebra

    Complete the square: x² + x + 2

    Answer: (x + 1⁄2)² + 7⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 20cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 117.38cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 32:72:45
  5. 5. Statistics

    Find the mean, median and range of: 34, 10, 99, 53, 69, 63, 83. Give your answer to 2 decimal places

    Answer: Mean = 58.71, Median = 63, Range = 89

Friday 3 March 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² - 5x - 3

    Answer: (x - 5⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 18cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 215.63cm²
  4. 4. Ratio

    a:b is 5:4 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 35:28:20
  5. 5. Statistics

    Find the mean, median and range of: 76, 30, 37, 36, 62, 13, 99, 76, 18. Give your answer to 2 decimal places

    Answer: Mean = 49.67, Median = 37, Range = 86