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OtisamLMS
Core Mathematics

Core Mathematics · Quick practice · answer shown after each question

Sets and Venn diagrams

Question 1 of 10

Question 1 of 10

By De Morgan's law, (A ∪ B)′ is equal to

Question 2 of 10

Question 2 of 10

Given A = {x : 2 < x ≤ 7, x an integer}, n(A) is

Question 3 of 10

Question 3 of 10

If U = {1, ..., 10} and A = {2, 4, 6, 8, 10}, find n(A′).

Question 4 of 10

Question 4 of 10

How many proper subsets does a set with 3 elements have?

Question 5 of 10

Question 5 of 10

If n(A ∪ B) = 40, n(A) = 25 and n(A ∩ B) = 7, find n(B).

Question 6 of 10

Question 6 of 10

In a survey, 45 people read Daily Graphic, 30 read Times and 12 read both. If 10 read neither, how many were surveyed?

Question 7 of 10

Question 7 of 10

If A ⊂ B, then A ∩ B is equal to

Question 8 of 10

Question 8 of 10

If n(U) = 60, n(A) = 35, n(B) = 30 and n(A′ ∩ B′) = 5, find n(A ∩ B).

Question 9 of 10

Question 9 of 10

Of 80 students, 50 study Twi, 40 study French and x study both, with 5 studying neither. Find x.

Question 10 of 10

Question 10 of 10

Of 100 traders, 60 sell rice, 45 sell beans and 20 sell both. How many sell beans only?

Questions written by OtisamLMS in the style of the WASSCE. They are not WAEC past questions.