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Capstone Jul 14 - 20 25 questions
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Monday 14 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √726

    Answer: 11√6
  2. 2. Algebra

    Complete the square: x² + 7x + 2

    Answer: (x + 7⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 20cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 112.03cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 20:15:3
  5. 5. Statistics

    Find the mean, median and range of: 50, 22, 17, 66, 90, 29, 44, 52, 45. Give your answer to 2 decimal places

    Answer: Mean = 46.11, Median = 45, Range = 73

Tuesday 15 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² + x + 12

    Answer: (x + 1⁄2)² + 47⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 15cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 150.62cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 36:45:5
  5. 5. Statistics

    Find the mean, median and range of: 39, 90, 67, 67, 26, 89, 72. Give your answer to 2 decimal places

    Answer: Mean = 64.29, Median = 67, Range = 64

Wednesday 16 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √931

    Answer: 7√19
  2. 2. Algebra

    Complete the square: x² + 3x + 3

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

    Find area of triangle: a = 20cm, b = 25cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 209.67cm²
  4. 4. Ratio

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

    Answer: 2:18:3
  5. 5. Statistics

    Find the mean, median and range of: 78, 100, 29, 21, 80, 96, 13. Give your answer to 2 decimal places

    Answer: Mean = 59.57, Median = 78, Range = 87

Thursday 17 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√44

    Answer: 6√11
  2. 2. Algebra

    Complete the square: x² - x - 9

    Answer: (x - 1⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 21cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 110.43cm²
  4. 4. Ratio

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

    Answer: 6:42:7
  5. 5. Statistics

    Find the mean, median and range of: 21, 25, 36, 27, 60, 79, 82. Give your answer to 2 decimal places

    Answer: Mean = 47.14, Median = 36, Range = 61

Friday 18 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√112

    Answer: 12√7
  2. 2. Algebra

    Complete the square: x² - 5x + 9

    Answer: (x - 5⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 14cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 167.35cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 12:14:7
  5. 5. Statistics

    Find the mean, median and range of: 57, 10, 99, 60, 98, 81, 71, 43. Give your answer to 2 decimal places

    Answer: Mean = 64.88, Median = 65.5, Range = 89