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Advanced Mathematics

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Quizzes in Advanced Mathematics for Grade 8

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {2, 4, 6, 9, 10}, what is A′?

  • {}
  • {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
  • {2, 4, 6, 9, 10}
  • {1, 3, 5, 7, 8, 11, 12}
Correct answer(s):
  • {1, 3, 5, 7, 8, 11, 12}

In a class of 37 students, 18 study only Algebra, 13 study only Geometry, and 11 study both. How many study Algebra or Geometry?

  • 11
  • 53
  • 42
  • 37
  • 31
Correct answer(s):
  • 42

Let A = {3, 5, 6, 9, 10, 11} and B = {6, 7, 10, 11, 13, 17}. What is A ∩ B?

  • {6, 10, 11}
  • {3, 5, 9}
  • {3, 5, 6, 7, 9, 10, 11, 13, 17}
  • {}
Correct answer(s):
  • {6, 10, 11}

A bag has 3 red, 6 blue, and 5 green marbles. What is the probability of choosing a red marble?

  • 5/14
  • 3/9
  • 14/3
  • 3/14
  • 6/14
Correct answer(s):
  • 3/14

A student can choose from 3 shirts, 3 pants, and 4 pairs of shoes. How many different outfits are possible?

  • 10
  • 15
  • 9
  • 12
  • 36
Correct answer(s):
  • 36

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {1, 3, 4, 5, 12}, what is A′?

  • {}
  • {1, 3, 4, 5, 12}
  • {2, 6, 7, 8, 9, 10, 11}
  • {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Correct answer(s):
  • {2, 6, 7, 8, 9, 10, 11}

Solve the system: 2x + 3y = -4 and 1x – 2y = -9.

  • x = 5, y = -2
  • x = 2, y = -5
  • x = -4, y = -9
  • x = -4, y = 1
  • x = -5, y = 2
Correct answer(s):
  • x = -5, y = 2