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Capstone Jan 16 - 22 25 questions
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Monday 16 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √32

    Answer: 4√2
  2. 2. Algebra

    Complete the square: 4x² + 8x + 13

    Answer: 4(x + 1)² + 9
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 27cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 277.72cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 5:20:32
  5. 5. Statistics

    Find the mean, median and range of: 22, 44, 82, 10, 98, 73, 12, 24, 84. Give your answer to 2 decimal places

    Answer: Mean = 49.89, Median = 44, Range = 88

Tuesday 17 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: 2x² - 24x + 6

    Answer: 2(x - 6)² - 66
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 14cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 206.14cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 35:14:12
  5. 5. Statistics

    Find the mean, median and range of: 45, 61, 78, 24, 70, 10, 20

    Answer: Mean = 44, Median = 45, Range = 68

Wednesday 18 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√44

    Answer: 10√11
  2. 2. Algebra

    Complete the square: x² - 7x + 2

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

    Find area of triangle: a = 18cm, b = 24cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 138.84cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 4:7. Find a:b:c in its simplest form.

    Answer: 24:20:35
  5. 5. Statistics

    Find the mean, median and range of: 21, 41, 84, 41, 76, 82, 76, 46. Give your answer to 2 decimal places

    Answer: Mean = 58.38, Median = 61, Range = 63

Thursday 19 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √252

    Answer: 6√7
  2. 2. Algebra

    Complete the square: x² - 5x + 2

    Answer: (x - 5⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 18cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 143.77cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 9:45:40
  5. 5. Statistics

    Find the mean, median and range of: 18, 50, 46, 58, 40, 72, 50, 82

    Answer: Mean = 52, Median = 50, Range = 64

Friday 20 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√45

    Answer: 15√5
  2. 2. Algebra

    Complete the square: 3x² + 18x + 4

    Answer: 3(x + 3)² - 23
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 21cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 203.96cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 45:10:16
  5. 5. Statistics

    Find the mean, median and range of: 25, 95, 57, 73, 60, 12, 61, 93, 58. Give your answer to 2 decimal places

    Answer: Mean = 59.33, Median = 60, Range = 83