Venn diagrams with numbers Quiz
10 questions · easy to harder · Foundations · score and step-by-step answers
How it works
- 10 questions, about 20 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 3 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. No calculator: work it out on paper.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
30 students: 18 play football, 15 play tennis, 8 play both. How many play neither?- A) 5
- B) 7
- C) 10
2 Question 2
40 children: 22 have a cat, 15 have a dog, 6 have both. How many have neither?Type the answer.
3 Question 3
35 people: 20 read books, 18 read comics, 10 read both. How many read neither?- A) 8
- B) 10
- C) 7
4 Question 4
30 students: 18 play football, 15 play tennis, 5 play neither. How many play both?Type the answer.
5 Question 5
32 people: 16 like jazz, 20 like rock, 2 like neither. How many like both?Type the answer.
6 Question 6
36 people: 20 drink milk, 18 drink juice, 4 drink neither. How many drink both?Type the answer.
7 Question 7
n(ξ) = 40, n(A) = 25, n(B) = 20, n((A ∪ B)′) = 3, find n(A ∩ B)Type the answer.
8 Question 8
n(ξ) = 30, n(A) = 16, n(B) = 12, n(A ∩ B) = 5, find n((A ∪ B)′)Type the answer.
9 Question 9
n(ξ) = 24, n(A) = 10, n(B) = 9, n(A ∩ B) = 4, find n((A ∪ B)′)- A) 5
- B) 9
- C) 6
10 Question 10
n(ξ) = 36, n(A) = 15, n(B) = 21, n((A ∪ B)′) = 6, find n(A ∩ B)Type the answer.