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Capstone Jun 15 - 21 25 questions
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Monday 15 June 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√125

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² - x + 9

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

    Find area of triangle: a = 18cm, b = 19cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 130.99cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 9:5. Find a:b:c in its simplest form.

    Answer: 27:72:40
  5. 5. Statistics

    Find the mean, median and range of: 82, 29, 49, 67, 31, 79, 50. Give your answer to 2 decimal places

    Answer: Mean = 55.29, Median = 50, Range = 53

Tuesday 16 June 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √720

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 5x² - 50x - 8

    Answer: 5(x - 5)² - 133
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 26cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 156.58cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 26, 49, 14, 71, 55, 84, 68, 16, 87. Give your answer to 2 decimal places

    Answer: Mean = 52.22, Median = 55, Range = 73

Wednesday 17 June 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√18

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 11x - 12

    Answer: (x + 11⁄2)² - 169⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 29cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 251.81cm²
  4. 4. Ratio

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

    Answer: 45:20:16
  5. 5. Statistics

    Find the mean, median and range of: 76, 82, 61, 70, 48, 25, 33, 41, 25. Give your answer to 2 decimal places

    Answer: Mean = 51.22, Median = 48, Range = 57

Thursday 18 June 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√20

    Answer: 8√5
  2. 2. Algebra

    Complete the square: 3x² - 6x

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

    Find area of triangle: a = 13cm, b = 19cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 81.02cm²
  4. 4. Ratio

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

    Answer: 16:20:45
  5. 5. Statistics

    Find the mean, median and range of: 97, 86, 12, 63, 100, 51, 89. Give your answer to 2 decimal places

    Answer: Mean = 71.14, Median = 86, Range = 88

Friday 19 June 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√175

    Answer: 25√7
  2. 2. Algebra

    Complete the square: 3x² + 36x - 12

    Answer: 3(x + 6)² - 120
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 24cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 187.78cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 32:56:49
  5. 5. Statistics

    Find the mean, median and range of: 54, 55, 59, 22, 41, 69, 65, 93, 36. Give your answer to 2 decimal places

    Answer: Mean = 54.89, Median = 55, Range = 71