Venn diagrams with numbers Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. No calculator. Show your working. steplyclass.com/foundations/venn-diagrams-with-numbers/quiz/

1. 1

   30 students: 18 play football, 15 play tennis, 8 play both. How many play neither?
   1. A) 5
   2. B) 7
   3. C) 10

2. 2

   40 children: 22 have a cat, 15 have a dog, 6 have both. How many have neither?

   Answer: ____________________

3. 3

   35 people: 20 read books, 18 read comics, 10 read both. How many read neither?
   1. A) 8
   2. B) 10
   3. C) 7

4. 4

   30 students: 18 play football, 15 play tennis, 5 play neither. How many play both?

   Answer: ____________________

5. 5

   32 people: 16 like jazz, 20 like rock, 2 like neither. How many like both?

   Answer: ____________________

6. 6

   36 people: 20 drink milk, 18 drink juice, 4 drink neither. How many drink both?

   Answer: ____________________

7. 7

   n(ξ) = 40, n(A) = 25, n(B) = 20, n((A ∪ B)′) = 3, find n(A ∩ B)

   Answer: ____________________

8. 8

   n(ξ) = 30, n(A) = 16, n(B) = 12, n(A ∩ B) = 5, find n((A ∪ B)′)

   Answer: ____________________

9. 9

   n(ξ) = 24, n(A) = 10, n(B) = 9, n(A ∩ B) = 4, find n((A ∪ B)′)
   1. A) 5
   2. B) 9
   3. C) 6

10. 10

    n(ξ) = 36, n(A) = 15, n(B) = 21, n((A ∪ B)′) = 6, find n(A ∩ B)

    Answer: ____________________