WorksheetsVenn Diagrams - Start
Total questions: 48
Worksheet time: 55mins
There are 126 students in year 9.
14 students do not play rugby or football.
42 play both rugby and football.
The ratio of the students that only play football to the students that only play rugby is 7 : 3
How many students play Rugby?
49
91
54
53
There are 126 students in year 9.
14 students do not play rugby or football.
42 play both rugby and football.
The ratio of the students that only play football to the students that only play rugby is 7 : 3
How many students play atleast 1 game?
112
91
54
53
There are 126 students in year 9.
14 students do not play rugby or football.
42 play both rugby and football.
The ratio of the students that only play football to the students that only play rugby is 7 : 3
What fraction of the kids who play football also play rugby?
1/7
6/7
2/7
3/7
There are 126 students in year 9.
14 students do not play rugby or football.
42 play both rugby and football.
The ratio of the students that only play football to the students that only play rugby is 7 : 3
How many students play only football?
49
91
54
53
This quarter, a survey of 100 students at a local college finds the following:
- 50 take math
- 40 take English
- 30 take history
- 15 take English and math
- 10 take English and history
- 10 take math and history
- 5 take all three subjects.
Use a Venn diagram to determine the following. The number of students taking none of these subjects.
30
60
10
100
This quarter, a survey of 100 students at a local college finds the following:
- 50 take math
- 40 take English
- 30 take history
- 15 take English and math
- 10 take English and history
- 10 take math and history
- 5 take all three subjects.
Use a Venn diagram to determine the following. The number of students taking English or math, but not history.
30
60
10
100
This quarter, a survey of 100 students at a local college finds the following:
- 50 take math
- 40 take English
- 30 take history
- 15 take English and math
- 10 take English and history
- 10 take math and history
- 5 take all three subjects.
Use a Venn diagram to determine the following. The number of students taking math but not the other two subjects.
30
60
10
100
Use a triple Venn diagram to help answer the following. A survey of students at a film school revealed the following information:
- 51 like animated films
- 49 like comedy films
- 60 like dramatic films
- 34 like animated and comedy
- 32 like comedy and dramatic
- 36 like animated and dramatic
- 24 like all three types
- 1 does not like any of the three types
How many like only one of the three types of film?
28
10
12
82
Use a triple Venn diagram to help answer the following. A survey of students at a film school revealed the following information:
- 51 like animated films
- 49 like comedy films
- 60 like dramatic films
- 34 like animated and comedy
- 32 like comedy and dramatic
- 36 like animated and dramatic
- 24 like all three types
- 1 does not like any of the three types
How many like animated and comedy by not dramatic?
28
10
12
82
Use a triple Venn diagram to help answer the following. A survey of students at a film school revealed the following information:
- 51 like animated films
- 49 like comedy films
- 60 like dramatic films
- 34 like animated and comedy
- 32 like comedy and dramatic
- 36 like animated and dramatic
- 24 like all three types
- 1 does not like any of the three types
How many like either animated, dramatic or comedy?
28
10
12
82
How many students like basketball but not Volleyball and softball?
6
62
32
44
How many students neither of the three sports?
5
6
7
10
How many students taking up Science but not Mathematics?
5
10
15
20
How many students like all three sports?
6
12
15
10
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
5/6
1/3
3/2
2
A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?
1/9
2/9
5/21
10/21
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
1/10
2
7/10
3/10
The chart above represents the number of marbles in a jar.
P(green) =
5/19
11/19
7/19
10/19
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
5/6
1/3
3/2
2
In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?
1/11
1/18
1/36
2/33
You roll two die.
What is the probability you will roll a 4, then roll a number less than 3?
1/36
1/18
1/9
1/6
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
5/11
15/6
1/3
5
In a cup are the numbers 1 - 20. Find the theoretical probability of
picking an even number.
1/2
1/20
1
2
In a cup are the numbers 1 - 20. Find the theoretical probability of
picking a number divisible by 5.
1/5
1/4
Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students have brown hair?
13
16
20
22
How many students have all 3 streaming services?
40
360
10
140
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play football only?
66/80
4/80
18/80
49/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play all three sports?
31/80
45/80
62/80
67/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play Hockey and Rugby?
36/80
5/80
41/80
44/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they don't play Rugby?
24/80
77/80
23/80
17/80
A pizza parlor surveyed 110 customers to determine their favorite pizza topping or combination of toppings. The results are shown below. Find P(Mushrooms). Reduce the fraction.
103
11039
5526
554
According to the government, 17% of the world's population has blue eyes and 46% of the world's population is educated. What s the probability the a person chosen randomly does not has blue eyes and is not educated?
8%
9%
38%
45%
According to the government, 17% of the world's population has blue eyes and 46% of the world's population is educated. What s the probability the a person chosen randomly does not has blue eyes and is educated?
8%
9%
38%
45%
How many students like country or rap but not rock?
46
23
46
5
How many students like rap and rock but not country?
18
20
46
53
The Venn diagram above shows information about the number of students who study Music (M ), Drama (D) and Geography (G).
How many students study Music?
14
16
5
The Venn diagram above shows information about the number of students who study Music (M ), Drama (D) and Geography (G).How many students study exactly two subjects?
14
16
15
What is the probability of rolling a less than 6 and flipping a head?
