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Capstone Sep 14 - 20 25 questions
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Monday 14 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: x² - 9x - 11

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

    Find area of triangle: a = 30cm, b = 28cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 296.98cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 21:12:2
  5. 5. Statistics

    Find the mean, median and range of: 79, 25, 88, 26, 49, 18, 69. Give your answer to 2 decimal places

    Answer: Mean = 50.57, Median = 49, Range = 70

Tuesday 15 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: 3x² - 18x + 9

    Answer: 3(x - 3)² - 18
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 21cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 215.66cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 45:72:56
  5. 5. Statistics

    Find the mean, median and range of: 79, 71, 95, 38, 46, 58, 50. Give your answer to 2 decimal places

    Answer: Mean = 62.43, Median = 58, Range = 57

Wednesday 16 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: 5x² + 10x - 2

    Answer: 5(x + 1)² - 7
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 30cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 247.43cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 7:42:30
  5. 5. Statistics

    Find the mean, median and range of: 82, 100, 17, 60, 49, 71, 33. Give your answer to 2 decimal places

    Answer: Mean = 58.86, Median = 60, Range = 83

Thursday 17 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: x² + 5x + 11

    Answer: (x + 5⁄2)² + 19⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 14cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 89.45cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 16:24:21
  5. 5. Statistics

    Find the mean, median and range of: 41, 77, 51, 68, 74, 77, 51, 38, 82. Give your answer to 2 decimal places

    Answer: Mean = 62.11, Median = 68, Range = 44

Friday 18 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √150

    Answer: 5√6
  2. 2. Algebra

    Complete the square: x² + x + 1

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

    Find area of triangle: a = 20cm, b = 28cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 226.52cm²
  4. 4. Ratio

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

    Answer: 2:12:27
  5. 5. Statistics

    Find the mean, median and range of: 53, 79, 31, 38, 35, 40, 87, 99, 26. Give your answer to 2 decimal places

    Answer: Mean = 54.22, Median = 40, Range = 73