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Capstone Mar 23 - 29 25 questions
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Monday 23 March 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √756

    Answer: 6√21
  2. 2. Algebra

    Complete the square: 5x² + 40x + 8

    Answer: 5(x + 4)² - 72
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 26cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 202.06cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 7:21:9
  5. 5. Statistics

    Find the mean, median and range of: 47, 17, 57, 48, 42, 32, 99, 39. Give your answer to 2 decimal places

    Answer: Mean = 47.63, Median = 44.5, Range = 82

Tuesday 24 March 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √864

    Answer: 12√6
  2. 2. Algebra

    Complete the square: x² - 11x - 1

    Answer: (x - 11⁄2)² - 125⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 30cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 259.81cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 8:18:9
  5. 5. Statistics

    Find the mean, median and range of: 36, 79, 84, 33, 65, 21, 32, 45, 67. Give your answer to 2 decimal places

    Answer: Mean = 51.33, Median = 45, Range = 63

Wednesday 25 March 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √525

    Answer: 5√21
  2. 2. Algebra

    Complete the square: 5x² - 30x + 11

    Answer: 5(x - 3)² - 34
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 25cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 291.43cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 16:18:45
  5. 5. Statistics

    Find the mean, median and range of: 50, 39, 89, 17, 63, 96, 38, 44, 60. Give your answer to 2 decimal places

    Answer: Mean = 55.11, Median = 50, Range = 79

Thursday 26 March 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √96

    Answer: 4√6
  2. 2. Algebra

    Complete the square: 3x² + 6x

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

    Find area of triangle: a = 26cm, b = 23cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 253.57cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 28:35:15
  5. 5. Statistics

    Find the mean, median and range of: 38, 62, 19, 71, 13, 48, 48. Give your answer to 2 decimal places

    Answer: Mean = 42.71, Median = 48, Range = 58

Friday 27 March 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √891

    Answer: 9√11
  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 = 12cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 119.5cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 35:63:27
  5. 5. Statistics

    Find the mean, median and range of: 21, 28, 53, 89, 83, 32, 74, 31, 69. Give your answer to 2 decimal places

    Answer: Mean = 53.33, Median = 53, Range = 68