Name: _________________________________
Date: ___________________
Geometry Midterm Exam Study Guide Part 2
2 Ring Venn Diagrams- complete on a separate sheet of paper if needed
1) A college decides to survey a group of their freshman class about the courses they have
registered for. Of the 150 college freshman interviewed: 85 were registered for a Math
class, 70 were registered for an English class, and 50 were registered for both a Math and
English class.
A. How many signed up only for a Math class? ______________________
B. How many signed up only for an English class? ____________________
C. How many signed up for Math or English? ________________________
2) In a class of 30 students, 19 are studying French, 12 are studying Spanish and 7 are
studying both French and Spanish.
A. How many students are not taking any foreign languages? ___________
B. How many students take French and Spanish? _____________________
3 Ring Venn Diagrams-complete on a separate sheet of paper if needed
3) Students went to a school carnival. The food and drink choices were hamburgers, soft
drinks and ice cream.
-3 had a hamburger, soft drink and ice cream
-15 had nothing to eat or drink
-24 had hamburgers
-10 had a soft drink and ice cream
-33 had soft drinks
-5 had a hamburger and a soft drink
-38 had ice cream
-8 had a hamburger and ice cream
A. How many had nothing to eat? __________________________
B. How many did not have ice cream? ______________________
C. How many had soft drinks but not hamburgers? ___________
D. How many total students went to the carnival? ____________
4) A total of 100 high school students were interviewed about certain classes they take.
The results were: 28 took Gym, 31 took Biology, 42 took English, 9 took Gym and Biology,
10 took Gym and English, 6 took Biology and English, 4 took all three subjects.
A. How many students took Gym but not Biology? ________________
B. How many students took English and Gym only? ___________________
Sets
Classify the following sets as finite or infinite.
1) {The set of numbers which are multiples of 3} __________________________
2) {The set of letters in the English alphabet} _____________________________
3) {The set of all prime numbers greater than 1 but less than 29} ______________
Name the elements in each set.
4) {Multiples of 3, less than 30} ________________________________________
5) {Multiples of 5} __________________________________________________
Find the union or intersection. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A= {2, 5}, B= {5, 7, 9},
C= {an odd number less than 9}, and D={an even number less than 9}.
6) A ∪ B
7) B ∪ C
8) A ∩ B
9) B ∩ D
Mixed Set Review-
10) A`
11) 7 ∈ B
12) 8 ∈ C
13) {2, 4, 5}
14) C
D
∅
15) Name all subsets of A
Probability- show all work for each problem in the space provided
17a) Suppose you rolled 5 strikes and 7 non strikes in a bowling game. Based on these results,
what is the experimental probability that you will roll a strike?
17b) What is the complement of rolling a strike?
18) Name the sample space when rolling a standard number cube?