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SHS Core Mathematics · Year 1

Number Sets practice questions

The real number system and its subsets (natural, whole, integer, rational, irrational), the closure/commutative/associative/distributive/identity/inverse properties, and two- and three-set problems including De Morgan's law.

27 questions in this topic: 10 recall, 10 applying skills and concepts, 5 strategic thinking and 2 extended thinking. Every one carries a written explanation.

Sample questions

5 of 27 questions in this topic. Sign up to answer them and see the explanations.

  1. Question 1Recall

    The number 0 is called the additive identity because

    • aadding 0 to any number leaves the number unchanged, e.g. 6 + 0 = 6
    • bmultiplying any number by 0 leaves it unchanged
    • c0 is the additive inverse of every number
    • d0 cannot be added to any real number
  2. Question 2Recall

    The equation 2 × 6 = 6 × 2 illustrates which property of real numbers?

    • aCommutative property of multiplication
    • bAssociative property of multiplication
    • cDistributive property
    • dIdentity property
  3. Question 3Skills & concepts

    The set of whole numbers is NOT closed under which two operations?

    • aSubtraction and division
    • bAddition and multiplication
    • cAddition and subtraction
    • dMultiplication and division only
  4. Question 4Skills & concepts

    A set with 3 elements has how many subsets in total, including the empty set and the set itself?

    • a8
    • b3
    • c6
    • d9
  5. Question 5Recall

    Given U = {a, b, c, d, e, f} and A = {a, b, e}, the complement A′ is

    • a{c, d, f}
    • b{a, b, e}
    • c{a, b, c, d, e, f}
    • dthe empty set

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