Grade 7 Mathematics Sets Review
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Questions and Answers

Consider three sets: $A = {1, 2, 3}$, $B = {a, b, c}$, and $C = {1, 2, 3, 4}$. Which statement accurately describes the relationship between these sets?

  • A is equal to B, and B is equivalent to C.
  • A is equivalent to B, but A is not equal to C. (correct)
  • A is equivalent to B, and B is equal to C.
  • A is equal to B, and A is equivalent to C.

Which of the following sets represents a finite set?

  • The set of all integers greater than -10.
  • The set of all points on a line.
  • The set of all fractions between 0 and 1.
  • The set of prime numbers less than 100. (correct)

If set $X = {p, q, r, s}$, which of the following statements is true?

  • $u \notin X$
  • $t \in X$
  • $r \in X$ (correct)
  • $p \notin X$

A set $Q$ has 63 proper subsets. How many elements are in set $Q$?

<p>6 (C)</p> Signup and view all the answers

Given the set $B = {1, 2, 2, 3, 3, 3}$, what is the cardinality (number of elements) of set B, considering that sets do not contain duplicate elements?

<p>3 (B)</p> Signup and view all the answers

Flashcards

Equivalent Sets

Sets with the same number of elements.

Finite Set

A set with a countable or limited number of elements.

Element 'Belongs To' Symbol ($\in$)

Indicates that an element belongs to a set.

Proper Subsets

All possible subsets of a set, excluding the set itself.

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Number of Elements in a Set

The number of unique elements in a set.

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Study Notes

  • Mathematics Tutorial, Grade 7, Unit 1, review questions

  • Date: Feb 10, 2025

  • Question 1: Find the set equivalent to {4, 3, 6}

  • Answer: B, {a, b, c}

  • Explanation: {a, b, c} has 3 elements, thus, selecting a set containing only 3 elements

  • Question 2: Identify the finite set

  • Options:

  • The set of natural numbers less than 10

  • The set of whole numbers

  • The set of all whole numbers greater than 10

  • All odd natural numbers

  • Question 3: If D = {a, b, c}, determine the true statement.

  • Options:

  • a ∈ D

  • a ∉ D

  • c ∉ D

  • f ∈ D

  • Question 4: If the number of proper subsets of set A is 7, find the number of elements in set A.

  • Possible answers: 8, 14, 3, 17

  • Question 5: Find the number of elements in set A = {4, 5, 4, 7, 4}

  • Options: 3, 4, 5, 6

  • Question 6: Which one of the following is TRUE about relation among sets?

  • Options:

  • All equal sets are proper subsets of each other

  • All equivalent sets are equal

  • The empty set is a subset of any set

  • Any set is a proper subset of itself

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Description

This review covers basic concepts of sets for Grade 7 mathematics, including equivalent and finite sets, set membership, proper subsets, and determining the number of elements in a set. Questions address key definitions and relationships within set theory. It is designed to reinforce foundational understanding of sets.

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