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Capstone Dec 22 - 28 25 questions
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Monday 22 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: 5x² + 60x + 7

    Answer: 5(x + 6)² - 173
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 20cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 266.3cm²
  4. 4. Ratio

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

    Answer: 30:35:49
  5. 5. Statistics

    Find the mean, median and range of: 70, 95, 45, 75, 85, 87, 65, 68

    Answer: Mean = 73.75, Median = 72.5, Range = 50

Tuesday 23 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: x² - 11x + 5

    Answer: (x - 11⁄2)² - 101⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 22cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 117.77cm²
  4. 4. Ratio

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

    Answer: 20:24:3
  5. 5. Statistics

    Find the mean, median and range of: 68, 70, 64, 35, 69, 54, 15, 52. Give your answer to 2 decimal places

    Answer: Mean = 53.38, Median = 59, Range = 55

Wednesday 24 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: x² - 7x - 11

    Answer: (x - 7⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 22cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 166.06cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 3:8. Find a:b:c in its simplest form.

    Answer: 3:21:56
  5. 5. Statistics

    Find the mean, median and range of: 42, 97, 93, 97, 34, 80, 10, 68. Give your answer to 2 decimal places

    Answer: Mean = 65.13, Median = 74, Range = 87

Thursday 25 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√24

    Answer: 8√6
  2. 2. Algebra

    Complete the square: x² - 9x + 9

    Answer: (x - 9⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 28cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 316.98cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 3:5. Find a:b:c in its simplest form.

    Answer: 3:21:35
  5. 5. Statistics

    Find the mean, median and range of: 62, 71, 51, 63, 97, 43, 83. Give your answer to 2 decimal places

    Answer: Mean = 67.14, Median = 63, Range = 54

Friday 26 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√8

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² - 5x

    Answer: (x - 5⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 17cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 102.45cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 24:40:25
  5. 5. Statistics

    Find the mean, median and range of: 48, 84, 31, 49, 43, 66, 68. Give your answer to 2 decimal places

    Answer: Mean = 55.57, Median = 49, Range = 53