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Capstone Dec 21 - 27 25 questions
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Monday 21 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√250

    Answer: 10√10
  2. 2. Algebra

    Complete the square: x² - 11x + 3

    Answer: (x - 11⁄2)² - 109⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 19cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 155.32cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 21:56:48
  5. 5. Statistics

    Find the mean, median and range of: 69, 57, 74, 99, 51, 47, 73. Give your answer to 2 decimal places

    Answer: Mean = 67.14, Median = 69, Range = 52

Tuesday 22 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: x² + x + 7

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

    Find area of triangle: a = 28cm, b = 21cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 283.98cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 27:6:8
  5. 5. Statistics

    Find the mean, median and range of: 25, 84, 44, 84, 13, 34, 46, 24

    Answer: Mean = 44.25, Median = 39, Range = 71

Wednesday 23 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√45

    Answer: 9√5
  2. 2. Algebra

    Complete the square: x² - 11x + 7

    Answer: (x - 11⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 30cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 273.96cm²
  4. 4. Ratio

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

    Answer: 35:14:18
  5. 5. Statistics

    Find the mean, median and range of: 12, 49, 43, 11, 12, 62, 98, 85

    Answer: Mean = 46.5, Median = 46, Range = 87

Thursday 24 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² + 5x - 8

    Answer: (x + 5⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 25cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 148.41cm²
  4. 4. Ratio

    a:b is 9:7 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 18:14:7
  5. 5. Statistics

    Find the mean, median and range of: 63, 68, 18, 23, 81, 45, 22, 85, 90

    Answer: Mean = 55, Median = 63, Range = 72

Friday 25 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√28

    Answer: 8√7
  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 = 16cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 61.71cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 21:18:2
  5. 5. Statistics

    Find the mean, median and range of: 99, 81, 24, 24, 100, 40, 100, 91, 39. Give your answer to 2 decimal places

    Answer: Mean = 66.44, Median = 81, Range = 76