Grade 7 math questions on set theory with answers are presented. Some of these questions can be challenging and need more time to be solved. Also, the solutions and explanations are included.

 Give the cardinality of set A and B defined by A = {a, b, c, d} and B = {1, 4, 7, 9, 10, 12, 23} Give the cardinality of a) the set of all months beginning with M. b) the set of all vowels in the English alphabet. Sets A and B are defined by A = {3, 5, 7, 8} and B = {x, y, z} Answer by true or false a) 3 A b) 3 B c) x A d) z B e) 8 B List all terms in each set a) The set of all positive even numbers less than or equal to 10 b) The set of all letters in the word "AUSTRALIA". c) The set of all whole numbers greater than 3 and smaller than 16, and divisible by 3. d) The set of all whole numbers greater than 5 and smaller than 35, and divisible by 5. e) The set of all prime numbers divisible by 3. f) The set of all numebrs whose absolute value is equal to 7. Set A, B, C and D are defined by: A = {2,3,4,5,6,7} B = {3,5,7} C = {3,5,7,20,25,30} D = {20,25,30} Answer by true or false a) A B b) B A c) B C d) C D e) D A Use set A, B, C and D defined in question 5 to find a) A B b) A B c) B C d) C B e) D C f) (A B) C g) (A B) (C D) h) (A B) (C D)

1. Card(A) = 4 , Card(B) = 7
2. a) 2

b) 5
3. a) true

b) false

c) false

d) true

e) false

4. a) {2,4,6,8,10}

b) {A,U,S,T,R,L,I}

c) {6,9,12,15}

d) {10,15,20,25,30}

e) {3}

f) {-7,7}

5. a) false

b) true

c) false

d) false

e) true

6. a) A B = A

b) A B = B

c) B C = B

d) C B = C

e) D C = D

f) (A B) C = B

g) (A B) (C D) = B

h) (A B) (C D) = {2,3,4,5,6,7,20,25,30}
More Middle School Math (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers

More High School Math (Grades 10, 11 and 12) - Free Questions and Problems With Answers

More Primary Math (Grades 4 and 5) with Free Questions and Problems With Answers

Author - e-mail