Below are sample Mathematics questions and answers on sets for BECE and WASSCE candidates who are preparing for their final examination. You can use the questions for both Section A and Section B. Each question is followed by an explanation on what the question expects from the students in order to get it right. After the explanation is the actual solutions to the questions. Kindly study and follow for more Mathematics questions and answers in order to prepare you fully for the impending final examination.
(1) S is a universal set with elements {1,3,5,7,11,13} and set T ={3,7,11}. Which of the following describes the relationship between the universal set and set T?
A. {1,5,13} is a complementary of T
B. {1,3,5,13} is a Union set of set S and T
C. {1,3,5} is a Union set of set S and T
D. None of the above
Correct answer is A.
Explanation
The correct answer is A which shows that {1,5,13} is a complement of T. Complement set are those elements in the universal set that are not in the main set in question.
Solution
S= {1,3,5,7,11,13}
T={3,7,11} o complement set of T hence, the correct answer is option A.
Two sets, X and Y have X={1,2,3,4,5,6} and Y={2,4,6,8,10} members respectively. Use it to answer question 2-3.
(2) Which of the following is true of set X and Y?
A. XnY={1,3,5}
B. XUY={1,2,3,4,5,6,}
C. Both A and B
D. XnY={2,4,6}
Correct answer is D.
Explanation
Option D gives the correct answer of set X and Y. Intersection set are all elements that are in both members of the set.
Solution
X ={1,2,3,4,5,6}
Y ={2,4,6,8.10}
XnY ={ 2,4,6} hence, the correct answer is option D.
(3) The union of both set is given by .....
A. XUY ={1,2,3,4,5,6,7,8,9,10}
B. XUY ={2,3,4,5,6.8,10}
C. XUY ={1,2,3,4,5,6,8.10}
D. XUY ={2,4,6,8,10}
Correct answer is C.
Explanation
The union of a set is the combination of the members of set without considering common members or elements.
Solution
X={1,2,3,4,5,6}
Y={2,4,6,8,10}
XUY={1,2,3,4,5,6,7,8,9.10} hence the correct answer is option C.
4. A set M={even numbers less than 20} and another set N={1,3,5,7,9,11,13,15,17,19,21}. How many elements are present in set M intersection N?
A. 5
B. 0
C. 2
D. 12
Correct answer is B
Explanation
Given a question like this, students are expected to list the elements found in set M and afterwards, find the intersection set of both set M and N. The intersection set are the elements that are common between the two sets M and N.
After getting your intersection set, count the number of elements and use it to select the correct answer from the options given.
Solution
M={2,4,6,8,10,12,14,16,18}
N={1,3,5,7,9,11,13,15,17,19,21}
M intersection N; MnN={}
The intersection of the two sets will give you an empty set. This is because, between the two sets M and N, they do not share any elements in common. Therefore, the number of elements in the intersection set M and N is 0. Hence, the correct answer is B.
(5) Which is the number of elements of the set in union set?
A. 10
B. 8
C. 4
D. 7
Correct answer is D.
Explanation
To find the number of elements of the union set, first find XuY and count the members in that set.
Solution
X ={2,5,8,12}
Y ={2,3,4,6}
n(XuY)= 7 hence the correct answer is option D.
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