Test: Number sets and real numbers

Dynamic tasks on natural, integer, rational, irrational and real number sets, intervals and subsets.

Question qty: 10
Duration in minutes: 15
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Sample questions

Given A = {a, b} and B = {b, c}, find their intersection A ∩ B.
What is the smallest listed number set containing a?
Which statement about number sets is always true?
What is the smallest listed set containing the fraction a/b?
What is the smallest listed set containing √a?
Which of the listed sets is finite?
Does x belong to the interval [a, b)?
Which inclusion relationship between number sets is correct?

Number sets and real numbers

Natural numbers form a subset of the integers, integers form a subset of the rational numbers, and rational together with irrational numbers form the real numbers. A rational number can be written as a/b, where a and b are integers and b ≠ 0.

Sets and intervals

A terminating or recurring decimal is rational, while numbers such as √2 and π are irrational. Interval brackets show whether an endpoint is included. Choose the smallest set containing a number, and distinguish membership ∈ from the subset relation ⊂.

Test: Number sets and real numbers

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Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

Number sets and real numbers

Sets and intervals

Test: Number sets and real numbers

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

Number sets and real numbers

Sets and intervals

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