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Capstone Aug 12 - 18 25 questions
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Monday 12 August 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√12

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 5x² + 50x + 6

    Answer: 5(x + 5)² - 119
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 24cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 267.44cm²
  4. 4. Ratio

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

    Answer: 49:28:24
  5. 5. Statistics

    Find the mean, median and range of: 92, 56, 49, 92, 73, 75, 38, 45, 92

    Answer: Mean = 68, Median = 73, Range = 54

Tuesday 13 August 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√176

    Answer: 16√11
  2. 2. Algebra

    Complete the square: x² - x + 7

    Answer: (x - 1⁄2)² + 27⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 17cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 93.77cm²
  4. 4. Ratio

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

    Answer: 49:21:27
  5. 5. Statistics

    Find the mean, median and range of: 60, 90, 15, 89, 65, 36, 93, 33. Give your answer to 2 decimal places

    Answer: Mean = 60.13, Median = 62.5, Range = 78

Wednesday 14 August 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 2x² + 8x - 4

    Answer: 2(x + 2)² - 12
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 20cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 208.4cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 56:35:30
  5. 5. Statistics

    Find the mean, median and range of: 13, 17, 72, 81, 63, 60, 88, 33, 10. Give your answer to 2 decimal places

    Answer: Mean = 48.56, Median = 60, Range = 78

Thursday 15 August 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√160

    Answer: 20√10
  2. 2. Algebra

    Complete the square: 5x² - 60x + 6

    Answer: 5(x - 6)² - 174
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 16cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 216.37cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 15:24:4
  5. 5. Statistics

    Find the mean, median and range of: 21, 43, 99, 73, 78, 32, 30, 34, 25. Give your answer to 2 decimal places

    Answer: Mean = 48.33, Median = 34, Range = 78

Friday 16 August 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: 5x² - 60x - 4

    Answer: 5(x - 6)² - 184
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 12cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 118.29cm²
  4. 4. Ratio

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

    Answer: 4:14:21
  5. 5. Statistics

    Find the mean, median and range of: 20, 60, 46, 44, 44, 83, 24. Give your answer to 2 decimal places

    Answer: Mean = 45.86, Median = 44, Range = 63