Name______#

Math 9R Homework: Venn Diagrams WP Day 2

1) Jose surveyed 20 of his friends to find out what equipment they use to play recorded movies. He found that 12 of his friends have only DVD players, 5 have both DVD players and VCRs, and 2 have neither type of player. The rest of his friends have only VCRs. What is the total number of his friends that have VCRs?

2) A school band has 40 members. 23 students play the flute, 17 play the trumpet, 6 play only the clarinet, 5 play both the clarinet and the trumpet, 8 students play the clarinet and flute, three students play all three instruments, and 5 students play different instruments. How many students play only the flute?

3) Students were asked what kind of profession they wanted to work in. Many students had trouble deciding and picked more than one. 50 students wanted to be a doctor, 66 students wanted to be a lawyer, and 45 students wanted to be a teacher. 25 said they wanted to be a doctor and a lawyer, 22 said they wanted to be a doctor and a teacher and 12 said they wanted to be a lawyer and a teacher. 10 students said they would like to be all three and 25 said they would not like to be any of the three professions. How many students want to be a lawyer or a doctor, but not a teacher?

4) Kara questioned the students in her art class as to what type of pet they have and asked them to bring in a drawing of their pet. She organized her data into the following sets:

T={Animals with teeth}

S={Animals with scales}

L= {Animals with four legs}

Richard brought in a drawing of his carnivorous fish (a piranha), named Morty, shown below.

a)Using set notation, indicate (from all the sets listed) the set to which Tyrone’s fish belongs.

b)Draw a Venn diagram displaying your answer to part a.

5) Which section in the diagram fulfils the criteria for the value ?

6) The accompanying diagram show she results of a survey asking which sports the members of the Key Club watch on television.

Which of the statement or statements below are true?

  1. The most watched sport is tennis
  2. The least watched sport is baseball
  3. More Key Club members watch tennis than football.

a. II onlyb. I onlyc. I and II onlyd. II and III only.

7) Classify the number as real, rational, whole, integer, natural, and/or irrational: 3.14

8) If j  k = find -15  3