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Capstone Dec 3 - 9 25 questions
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Monday 3 December 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√27

    Answer: 6√3
  2. 2. Algebra

    Complete the square: 4x² - 48x + 9

    Answer: 4(x - 6)² - 135
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 26cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 214.44cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 10:6:15
  5. 5. Statistics

    Find the mean, median and range of: 54, 59, 46, 41, 10, 16, 67, 39

    Answer: Mean = 41.5, Median = 43.5, Range = 57

Tuesday 4 December 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: x² - 7x - 10

    Answer: (x - 7⁄2)² - 89⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 13cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 144.79cm²
  4. 4. Ratio

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

    Answer: 5:35:28
  5. 5. Statistics

    Find the mean, median and range of: 43, 94, 61, 40, 37, 99, 71, 43

    Answer: Mean = 61, Median = 52, Range = 62

Wednesday 5 December 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √832

    Answer: 8√13
  2. 2. Algebra

    Complete the square: x² - 5x + 3

    Answer: (x - 5⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 28cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 174.64cm²
  4. 4. Ratio

    a:b is 5:4 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 15:12:2
  5. 5. Statistics

    Find the mean, median and range of: 58, 38, 92, 39, 20, 60, 40. Give your answer to 2 decimal places

    Answer: Mean = 49.57, Median = 40, Range = 72

Thursday 6 December 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√75

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 4x² - 24x + 1

    Answer: 4(x - 3)² - 35
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 21cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 171.29cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 20:12:27
  5. 5. Statistics

    Find the mean, median and range of: 99, 58, 38, 82, 80, 45, 70. Give your answer to 2 decimal places

    Answer: Mean = 67.43, Median = 70, Range = 61

Friday 7 December 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: 3x² - 18x + 13

    Answer: 3(x - 3)² - 14
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 152.31cm²
  4. 4. Ratio

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

    Answer: 63:18:2
  5. 5. Statistics

    Find the mean, median and range of: 64, 43, 95, 98, 39, 88, 21

    Answer: Mean = 64, Median = 64, Range = 77