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Capstone Apr 28 - May 4 25 questions
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Monday 28 April 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² - 3x - 10

    Answer: (x - 3⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 23cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 205.32cm²
  4. 4. Ratio

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

    Answer: 10:6:9
  5. 5. Statistics

    Find the mean, median and range of: 95, 55, 42, 92, 51, 88, 49, 66, 77. Give your answer to 2 decimal places

    Answer: Mean = 68.33, Median = 66, Range = 53

Tuesday 29 April 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√63

    Answer: 15√7
  2. 2. Algebra

    Complete the square: x² + 5x + 10

    Answer: (x + 5⁄2)² + 15⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 16cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 204.23cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 9:5. Find a:b:c in its simplest form.

    Answer: 36:63:35
  5. 5. Statistics

    Find the mean, median and range of: 45, 15, 93, 95, 33, 45, 62, 51, 100. Give your answer to 2 decimal places

    Answer: Mean = 59.89, Median = 51, Range = 85

Wednesday 30 April 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√275

    Answer: 20√11
  2. 2. Algebra

    Complete the square: x² + 3x - 7

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

    Find area of triangle: a = 24cm, b = 27cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 280.59cm²
  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: 98, 97, 23, 51, 47, 47, 28. Give your answer to 2 decimal places

    Answer: Mean = 55.86, Median = 47, Range = 75

Thursday 1 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √275

    Answer: 5√11
  2. 2. Algebra

    Complete the square: x² + 9x - 11

    Answer: (x + 9⁄2)² - 125⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 20cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 137.43cm²
  4. 4. Ratio

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

    Answer: 35:15:21
  5. 5. Statistics

    Find the mean, median and range of: 84, 70, 89, 92, 79, 21, 12. Give your answer to 2 decimal places

    Answer: Mean = 63.86, Median = 79, Range = 80

Friday 2 May 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √486

    Answer: 9√6
  2. 2. Algebra

    Complete the square: x² - x - 12

    Answer: (x - 1⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 25cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 253.85cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 30:35:63
  5. 5. Statistics

    Find the mean, median and range of: 62, 24, 87, 71, 92, 80, 12, 63. Give your answer to 2 decimal places

    Answer: Mean = 61.38, Median = 67, Range = 80