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Quiz

Grade 8: Relations

10 questions with solutions for grade 8: the idea of a relation, properties, equivalence and order relations, relations in practice.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. A = {1, 2, 3}. How many pairs are in the relation “a < b” on A?

2. The relation “is equal to” is:

3. Which property does “<” between numbers NOT have?

4. On {2, 4, 8} the relation is “a divides b” (including a = b). How many pairs are there?

5. Is R = {(1, 2), (2, 3), (1, 3)} transitive?

6. How many ordered pairs are in A × A if A has 4 elements?

7. Is the relation “a ≤ b” reflexive?

8. R = {(1, 1), (2, 2), (1, 2), (2, 1)} on {1, 2}. Is it an equivalence relation?

9. Natural numbers are grouped by their remainder on division by 3 (“same remainder”). How many equivalence classes are there?

10. The relation “is older than” between people is: