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Basic Level Examination  •  BLE Preparation

Sets – Practice Worksheet

Chapter: Sets  |  Venn Diagrams & Subsets

Class: 8 Subject: Mathematics Topic: Sets Level: BLE
Q.N. 1 Kathmandu Metropolitan City
A school offers three extra-curricular activities: dance, music and painting. This is denoted by Set $A = \{\text{dance, music, painting}\}$
  1. Construct any two proper subsets that show two different combinations of activities made from set $A$.2A
  2. "Every set is an improper subset of itself." Do you agree? Give reason.1HA
Q.N. 2 Lalitpur Metropolitan City
Study the given Venn-diagram and answer the following questions.
UAB .1.2 .3.6.9
  1. Define proper subsets.1K
  2. Write the improper subset of $B$.1U
  3. Write, whether the sets are overlapping or disjoint. Give reason.1HA
Q.N. 3 Dhangadhi Sub‑Metropolitan City
Study the given Venn-diagram and answer the following questions.
U A B .4 .8 .6 .2 .3 .5 .7 .1 .10
  1. Write set $B$ by descriptive method.1K
  2. How many subsets are formed from set $A$?1U
  3. What type of sets are $A$ and $B$? Give reason.1HA
Q.N. 4 Bhaktapur Municipality
If $A = \{4,6,8\}$  and  $B = \{5,6,7,8\}$  are subsets of the universal set  $U = \{4,5,6,7,8,9\}$
  1. What type of sets are $A$ and $B$, overlapping or disjoint?1K
  2. Write the formula to find the number of subsets.1U
  3. Show the above sets in a Venn diagram.1A
Q.N. 5 Nepalgunj Sub‑Metropolitan City
Given a Venn diagram of two sets $P$ and $Q$ as shown below, answer the following questions.
U .d .c .a .b .e .f P Q
  1. Given sets are overlapping or disjoint?1K
  2. Write the improper subset of $P$.1U
  3. If $a$ and $b$ are not members of set $P$, what type of sets are $P$ and $Q$? Give reason.1HA
Q.N. 6 Butwal Sub‑Metropolitan City
Given a Venn diagram of two sets $A$ and $B$ as shown below, answer the following questions.
U A B .1 .3 .2 .4 .6 .8
  1. Are sets $A$ and $B$ overlapping or disjoint? Give reason.1K
  2. Write the improper subset of set $A$.1U
  3. Which element of sets $A$ and $B$ should be removed to make them disjoint?1HA
Q.N. 7 Biratnagar Metropolitan City
Study the given Venn-diagram and answer the following questions.
U M N .o .r .s .e .a .t
  1. Define disjoint sets.1K
  2. Write improper subset of $M$.1U
  3. If the elements $s$ and $e$ are removed from set $M$ and $N$, what type of sets will $M$ and $N$ be?1HA
Q.N. 8 Birgunj Metropolitan City
Sets $M$ and $N$ are shown in the Venn diagram below. Answer the following questions.
U .1 .3 .2 .4 .6 .8 M N
  1. Construct any one proper subset having two elements from set $M$.1A
  2. Construct the improper subset from set $N$.1U
  3. When $2$ is removed from $M$ and $N$, what type of sets are $M$ and $N$? Give reason.1HA
Q.N. 9 Bharatpur Metropolitan City
Two sets are given as $A = \{3,4,5\}$  and  $B = \{3,4,5,6,7\}$
  1. Write any one proper subset of $B$.1U
  2. Show sets $A$ and $B$ in a Venn diagram.1A
  3. Which elements should be added or removed from $A$ to make $A$ an improper subset of $B$?1HA
Q.N. 10 Pokhara Metropolitan City
Study the given Venn-diagram and answer the following questions.
U .a .c .b .d e A B
  1. Identify whether $A$ and $B$ are overlapping or disjoint.1K
  2. Write the improper subset of set $B$.1U
  3. Which one element is to be added in set $B$ so that it becomes overlapping with set $A$?1HA