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Capstone Dec 1 - 7 25 questions
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Monday 1 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: x² - 5x + 5

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

    Find area of triangle: a = 18cm, b = 22cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 177.96cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 16:14:63
  5. 5. Statistics

    Find the mean, median and range of: 24, 80, 10, 34, 15, 17, 12, 94

    Answer: Mean = 35.75, Median = 20.5, Range = 84

Tuesday 2 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√28

    Answer: 4√7
  2. 2. Algebra

    Complete the square: x² + 9x - 5

    Answer: (x + 9⁄2)² - 101⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 23cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 260.96cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 32:36:9
  5. 5. Statistics

    Find the mean, median and range of: 72, 89, 19, 64, 100, 64, 60. Give your answer to 2 decimal places

    Answer: Mean = 66.86, Median = 64, Range = 81

Wednesday 3 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √486

    Answer: 9√6
  2. 2. Algebra

    Complete the square: x² - 7x + 9

    Answer: (x - 7⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 16cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 62.98cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 20:35:7
  5. 5. Statistics

    Find the mean, median and range of: 30, 40, 95, 85, 41, 99, 51

    Answer: Mean = 63, Median = 51, Range = 69

Thursday 4 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√12

    Answer: 4√3
  2. 2. Algebra

    Complete the square: 4x² + 8x + 5

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

    Find area of triangle: a = 28cm, b = 30cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 399.44cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 72:63:7
  5. 5. Statistics

    Find the mean, median and range of: 78, 18, 56, 37, 51, 52, 19. Give your answer to 2 decimal places

    Answer: Mean = 44.43, Median = 51, Range = 60

Friday 5 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√250

    Answer: 15√10
  2. 2. Algebra

    Complete the square: x² + 5x - 9

    Answer: (x + 5⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 18cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 141.77cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 14:63:45
  5. 5. Statistics

    Find the mean, median and range of: 24, 68, 33, 100, 83, 22, 61, 13, 98. Give your answer to 2 decimal places

    Answer: Mean = 55.78, Median = 61, Range = 87