Sets Practice Questions
SPM (Malaysia) · SPM Mathematics · 150 free MCQs with instant results and detailed explanations.
150
Total
49
Easy
71
Medium
30
Hard
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Sample Questions from Sets
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
Which of the following is an example of a subset?
A.
{1, 2, 3} is a subset of {1, 2, 3, 4, 5}
B.
{4, 5} is not a subset of {1, 2, 3}
C.
{1, 2, 3, 4} is a subset of {1, 2, 3}
D.
{2} is not a subset of {2, 3, 4}
Show Answer & Explanation
Correct Answer: A
A subset is a set that contains some or all elements of another set. {1, 2, 3} is indeed contained in {1, 2, 3, 4, 5}, making it a subset.
Q2
Easy
If A = {x | x is an even number less than 10}, what is the set A?
A.
{0, 2, 4, 6, 8}
B.
{1, 3, 5, 7, 9}
C.
{2, 4, 6, 8, 10}
D.
{1, 2, 3, 4, 5, 6, 7, 8, 9}
Show Answer & Explanation
Correct Answer: A
The set A contains all even numbers less than 10, which are 0, 2, 4, 6, and 8. Thus, A = {0, 2, 4, 6, 8}.
Q3
Easy
If A = {2, 4, 6} and B = {4, 6, 8}, what is A ∩ B?
A.
{4, 6}
B.
{2, 8}
C.
{2, 4, 6, 8}
D.
{4, 6, 2, 8}
Show Answer & Explanation
Correct Answer: A
The intersection of sets A and B, denoted A ∩ B, includes all elements that are present in both sets. Here, {4, 6} is the common elements.
Q4
Medium
If sets X = {1, 3, 5, 7} and Y = {2, 3, 5, 6}, what is the union of X and Y?
A.
{1, 2, 3, 5, 6, 7}
B.
{1, 3, 5}
C.
{2, 3, 5, 6}
D.
{1, 2, 3, 5, 6, 7, 8}
Show Answer & Explanation
Correct Answer: A
The union X ∪ Y includes all distinct elements from both sets. Thus, combining both sets yields {1, 2, 3, 5, 6, 7}.
Q5
Medium
If A = {x | x is an even number less than 10} and B = {x | x is a prime number less than 10}, what is A ∪ B?
A.
{2, 3, 4, 6, 8}
B.
{2, 3, 5, 7}
C.
{2, 4, 6, 8, 9}
D.
{2, 3, 4, 5, 6, 7, 8, 9}
Show Answer & Explanation
Correct Answer: A
Set A includes even numbers less than 10: {2, 4, 6, 8}. Set B includes prime numbers less than 10: {2, 3, 5, 7}. The union A ∪ B combines these elements without duplicates: {2, 3, 4, 5, 6, 7, 8}.
Q6
Medium
If set A = {2, 4, 6, 8} and set B = {4, 5, 6, 7}, what is A ∩ B?
A.
{4, 6}
B.
{2, 8}
C.
{5, 7}
D.
{2, 4, 6, 8, 5, 7}
Show Answer & Explanation
Correct Answer: A
The intersection A ∩ B includes elements that are present in both sets. Here, 4 and 6 are the only numbers in both A and B.
Q7
Medium
If set X = {x | x is a prime number less than 10} and set Y = {2, 3, 5, 7}, what is X ∪ Y?
A.
{2, 3, 5, 7}
B.
{2, 3, 5, 7, 11}
C.
{2, 3, 5, 7, 9}
D.
{2, 3, 5, 7, 1}
Show Answer & Explanation
Correct Answer: A
Set X consists of all prime numbers less than 10, which are exactly {2, 3, 5, 7}. Hence, the union X ∪ Y is {2, 3, 5, 7}.
Q8
Hard
If set A = {x | x is a prime number less than 20} and set B = {2, 3, 5, 7, 11, 13, 17, 19}, what is A ∩ B?
A.
{2, 3, 5, 7, 11, 13, 17, 19}
B.
{3, 5, 7, 11, 13, 17, 19}
C.
{2, 11, 19}
D.
{7, 11}
Show Answer & Explanation
Correct Answer: A
The intersection of sets A and B includes all elements that are present in both sets. Since all prime numbers less than 20 are present in set B, A ∩ B results in all elements of B.
Q9
Hard
Let set X = {1, 2, 3, 4, 5} and set Y = {4, 5, 6, 7}. What is the number of elements in the union of sets X and Y?
A.
5
B.
6
C.
7
D.
8
Show Answer & Explanation
Correct Answer: B
The union of two sets includes all distinct elements from both sets. The unique elements in the union of X and Y are {1, 2, 3, 4, 5, 6, 7}, totaling 6 distinct elements.
Q10
Hard
If A = {2, 4, 6, 8} and B = {1, 2, 3, 4, 5}, what is the value of |A ∩ B| + |A ∪ B|?
A.
9
B.
7
C.
11
D.
6
Show Answer & Explanation
Correct Answer: A
The intersection A ∩ B = {2, 4}, so |A ∩ B| = 2. The union A ∪ B = {1, 2, 3, 4, 5, 6, 8}, so |A ∪ B| = 7. Thus, |A ∩ B| + |A ∪ B| = 2 + 7 = 9.
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Sets — SPM (Malaysia) SPM Mathematics Practice Questions Online
This page contains 150 practice MCQs for the chapter Sets in SPM (Malaysia) SPM Mathematics. The questions are organized by difficulty — 49 easy, 71 medium, 30 hard — so you can choose the right level for your preparation.
Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.