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Capstone Jan 9 - 15 25 questions
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Monday 9 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: 2x² + 16x + 2

    Answer: 2(x + 4)² - 30
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 30cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 382.94cm²
  4. 4. Ratio

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

    Answer: 27:12:16
  5. 5. Statistics

    Find the mean, median and range of: 53, 11, 45, 93, 60, 65, 65, 51, 84. Give your answer to 2 decimal places

    Answer: Mean = 58.56, Median = 60, Range = 82

Tuesday 10 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√48

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + x + 6

    Answer: (x + 1⁄2)² + 23⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 18cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 93.64cm²
  4. 4. Ratio

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

    Answer: 12:10:35
  5. 5. Statistics

    Find the mean, median and range of: 99, 88, 68, 93, 20, 39, 52, 84. Give your answer to 2 decimal places

    Answer: Mean = 67.88, Median = 76, Range = 79

Wednesday 11 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √384

    Answer: 8√6
  2. 2. Algebra

    Complete the square: 4x² - 24x - 4

    Answer: 4(x - 3)² - 40
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 14cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 174.05cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 8:10:45
  5. 5. Statistics

    Find the mean, median and range of: 51, 79, 44, 24, 71, 96, 66. Give your answer to 2 decimal places

    Answer: Mean = 61.57, Median = 66, Range = 72

Thursday 12 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√50

    Answer: 20√2
  2. 2. Algebra

    Complete the square: 2x² + 24x + 4

    Answer: 2(x + 6)² - 68
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 18cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 102.12cm²
  4. 4. Ratio

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

    Answer: 3:24:64
  5. 5. Statistics

    Find the mean, median and range of: 85, 15, 71, 57, 89, 96, 67, 75. Give your answer to 2 decimal places

    Answer: Mean = 69.38, Median = 73, Range = 81

Friday 13 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√75

    Answer: 15√3
  2. 2. Algebra

    Complete the square: x² - 5x

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

    Find area of triangle: a = 18cm, b = 27cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 236.77cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 95, 27, 20, 70, 82, 30, 41, 79, 99. Give your answer to 2 decimal places

    Answer: Mean = 60.33, Median = 70, Range = 79