Core Mathematics

1In a class of 50, 30 offer Physics, 25 Chemistry and 8 neither. How many offer both?

2In a survey, 45 people read Daily Graphic, 30 read Times and 12 read both. If 10 read neither, how many were surveyed?

3In a class of 40, 25 take French, 20 take Twi and 8 take both. How many take neither?

4In a class of 40, 25 study French, 18 study Music and 10 study both. How many study neither?

5A = {letters of the word "BANANA"}. How many elements does A have?

6If A ⊂ B, then A ∩ B is equal to

7By De Morgan's law, (A ∪ B)′ is equal to

8U = {1, 2, …, 10} and A = {even numbers in U}. Find n(A′).

9If n(A ∪ B) = 40, n(A) = 25 and n(A ∩ B) = 7, find n(B).

10P = {1, 2, 3, 4, 5, 6} and Q = {2, 4, 6, 8}. Find P ∩ Q.