# Subset Worksheets

Related Topics & Worksheets:
Sets
Math Worksheets

Objective:

• I know what are subsets and proper subsets.
• I know the formula to find the number of subsets and proper subsets.

Examples:
Given A = {a, b}, B = {a, b, c} and C = {a, b, c}
A ⊂ C (A is a proper subset of C)
A ⊆ C (A is a subset of C)
B ⊆ C (B is a subset of C)
B ⊄ C (B is not a proper subset of C)

Check out the following lesson on subsets if you need help.
Subsets

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
1. Given K = {1, 2, 3, 4, 5, 6}, L = {2, 3, 5, 6}, M = {0, 1, 2, 3}, N = {6, 5, 4, 3, 2, 1}, P = {3, 6, 2, 5}, Q = {} and R = {3}, state whether each of the following is true (T) or false (F).

a) M ⊂ K
b) P ⊆ N
c) L ⊂ P
d) Q ⊆ M
e) K ⊂ N
f) P ⊆ L
g) R ⊄ N
h) N ⊈ K
i) P ⊈ K
j) R ⊆ L
k) N ⊆ K
l) M ⊄ N

2. Given P = {1, 2, 3, 4}, how many subsets will P have?

3. Let S = be the set of all vowels in the word “MATHEMATICS”, how many subsets will S have?

4. Given T = {y: y is a multiple of 7, y < 20}, how many subsets will T have?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.