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Capstone Nov 7 - 13 25 questions
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Monday 7 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√12

    Answer: 8√3
  2. 2. Algebra

    Complete the square: 2x² - 20x + 11

    Answer: 2(x - 5)² - 39
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 18cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 136.32cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 30:35:21
  5. 5. Statistics

    Find the mean, median and range of: 87, 84, 57, 59, 96, 44, 85. Give your answer to 2 decimal places

    Answer: Mean = 73.14, Median = 84, Range = 52

Tuesday 8 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √360

    Answer: 6√10
  2. 2. Algebra

    Complete the square: x² - 9x - 9

    Answer: (x - 9⁄2)² - 117⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 28cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 389.42cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 4:12:3
  5. 5. Statistics

    Find the mean, median and range of: 17, 82, 31, 84, 99, 98, 66, 24, 19. Give your answer to 2 decimal places

    Answer: Mean = 57.78, Median = 66, Range = 82

Wednesday 9 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: 5x² - 10x - 11

    Answer: 5(x - 1)² - 16
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 14cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 136.54cm²
  4. 4. Ratio

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

    Answer: 40:45:27
  5. 5. Statistics

    Find the mean, median and range of: 20, 78, 43, 70, 45, 35, 68, 84, 48. Give your answer to 2 decimal places

    Answer: Mean = 54.56, Median = 48, Range = 64

Thursday 10 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √891

    Answer: 9√11
  2. 2. Algebra

    Complete the square: x² + x - 11

    Answer: (x + 1⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 17cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 189.43cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 8:18:3
  5. 5. Statistics

    Find the mean, median and range of: 65, 73, 95, 65, 61, 38, 66, 74. Give your answer to 2 decimal places

    Answer: Mean = 67.13, Median = 65.5, Range = 57

Friday 11 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √931

    Answer: 7√19
  2. 2. Algebra

    Complete the square: 3x² + 12x - 8

    Answer: 3(x + 2)² - 20
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 23cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 203.86cm²
  4. 4. Ratio

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

    Answer: 18:63:49
  5. 5. Statistics

    Find the mean, median and range of: 25, 100, 16, 65, 41, 28, 42, 42. Give your answer to 2 decimal places

    Answer: Mean = 44.88, Median = 41.5, Range = 84