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Capstone Aug 17 - 23 25 questions
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Monday 17 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √180

    Answer: 6√5
  2. 2. Algebra

    Complete the square: x² - 11x

    Answer: (x - 11⁄2)² - 121⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 21cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 275.08cm²
  4. 4. Ratio

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

    Answer: 81:36:8
  5. 5. Statistics

    Find the mean, median and range of: 24, 74, 51, 65, 26, 69, 18, 34. Give your answer to 2 decimal places

    Answer: Mean = 45.13, Median = 42.5, Range = 56

Tuesday 18 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: x² - 5x - 7

    Answer: (x - 5⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 25cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 332.87cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 6:7. Find a:b:c in its simplest form.

    Answer: 8:18:21
  5. 5. Statistics

    Find the mean, median and range of: 68, 58, 37, 75, 10, 85, 73, 100, 42. Give your answer to 2 decimal places

    Answer: Mean = 60.89, Median = 68, Range = 90

Wednesday 19 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√160

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² - x - 11

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

    Find area of triangle: a = 19cm, b = 30cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 267.81cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 9:5. Find a:b:c in its simplest form.

    Answer: 9:63:35
  5. 5. Statistics

    Find the mean, median and range of: 18, 37, 38, 77, 35, 80, 88, 62, 50. Give your answer to 2 decimal places

    Answer: Mean = 53.89, Median = 50, Range = 70

Thursday 20 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√20

    Answer: 8√5
  2. 2. Algebra

    Complete the square: 4x² + 24x + 13

    Answer: 4(x + 3)² - 23
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 18cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 219.23cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 21:14:8
  5. 5. Statistics

    Find the mean, median and range of: 95, 96, 47, 46, 77, 53, 89. Give your answer to 2 decimal places

    Answer: Mean = 71.86, Median = 77, Range = 50

Friday 21 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√250

    Answer: 10√10
  2. 2. Algebra

    Complete the square: x² + x - 7

    Answer: (x + 1⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 20cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 251.66cm²
  4. 4. Ratio

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

    Answer: 27:24:40
  5. 5. Statistics

    Find the mean, median and range of: 36, 67, 43, 69, 80, 12, 39, 73. Give your answer to 2 decimal places

    Answer: Mean = 52.38, Median = 55, Range = 68