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Venn & Tree Diagrams

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

Which of these is something both whales and fish have in common?

a)

live birth

b)

lay eggs

c)

have fins

d)

have hair

2.

How many people ate pepperoni pizza for lunch?

a)

15

b)

21

c)

6

d)

12

3.

How many students have dog in their house?

a)

3

b)

4

c)

5

d)

8

4.

How many students have fish in their house?

a)

3

b)

4

c)

5

d)

7

5.

How many like to take the bus ONLY?

a)

18

b)

13

c)

16

6.

How many take BOTH car and bus?

a)

13

b)

18

c)

16

7.

The Venn diagram shows the number of senior boys who play football or wrestle.

How may senior boys wrestle, but do not play football?

(a)  

8.

The Venn diagram shows the number of senior boys who play football or wrestle.

How may senior boys play football?

(a)  

9.

The Venn diagram shows the number of senior boys who play football or wrestle.

How may senior boys do not play football?

(a)  

10.

Who are all of the students who prefer bananas?

a)

Diana

b)

Ben

c)

Tiara

d)

Nico

e)

Susan

11.

Who are all of the elements in the set (Mangoes)?

a)

Tiara

b)

Ben

c)

Paul

d)

Francesca

e)

Susan

12.

How many students do Music (M) or Science (S)?

a)

12

b)

78

c)

115

d)

90

e)

25

13.

How many students do Music (M) and Science (S)?

a)

115

b)

12

c)

78

d)

25

14.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

15.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)
b)
c)
d)
16.

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

a)

12 outfits

b)

22 outfits

c)

3 outfits

d)

7 outfits

17.

For breakfast, you can choose to eat cereal or a bagel and to drink coffee, OJ, tea, or water. What is the sample space of this situation?

a)

2, because there are 2 things to choose from to eat.

b)

4, because there are 4 things to choose from to drink

c)

10, because I see 10 different words on the tree diagram

d)

8, because there are 8 different outcomes (cereal, coffee) (cereal, OJ) (cereal, tea) (cereal, water) (bagel, coffee) (bagel, OJ) (bagel, tea) (bagel, water)

18.

What is the probability of randomly choosing a breakfast with a bagel and coffee?

a)

1/8 because there is only 1 outcome out of the 8 possible choices that include both a bagel and coffee.

b)

1/2 because there is only cereal and a bagel to choose from

c)

1/4 because there is only one out of the four choices that include coffee

d)

3 because the words "coffee" and "bagel" are on the diagram a total of 3 times.

19.

What is the probability of randomly picking a lunch with pizza, soda, and ice cream?

a)

1/18

b)

3/18 or 1/6

c)

13/18

d)

1/3

20.

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

a)

1

b)

1/2

c)

1/4

d)

1/8