High School Background
The student government at
28 took physics,
31 took biology,
42 took geometry,
9 took physics and biology,
10 took physics and
geometry,
6 took biology and geometry, and
4 took all three subjects.
On the
basis of these figures,
a)
How many students took none of the three subjects?
b)
How many students took physics, but not biology or geometry?
c)
How many students took biology and physics but not geometry?
Possessions
In a survey of 6500 people, 5100 had a
car, 2280 had a pet, 5420 had a television set, 4800 had a TV and a car, 1500
had a TV and a pet, 1250 had a car and a pet, and 1100 had a TV, a car, and a
pet.
a) How many people had a TV and a pet, but did
not have a car?
b) How many people had neither
a pet, a TV, nor a car?
Athletes
Of the eighth graders at the Paxson
school, there were 7 who played basketball, 9 who played volley ball, 10 who
played soccer, 1 who played basketball and volleyball only, 1 who played
basketball and soccer only, 2 who played volleyball, basketball, and
soccer. How many played one or more of
the three sports?
Multiple Majors
A survey was taken of 150 college
freshmen. Forty of them were majoring in
Mathematics, 30 of them were majoring in English, 20 were majoring in Science,
7 had a double major of Math and English, and none had a double (or triple)
major with Science. How many students
had majors other than Math, English, or Science?
**
Hint: None had a double (or triple) major with Science gives a lot of
information**
TV Viewing
A class survey found that 25 students
watched TV on Monday, 20 on Tuesday, and 16 on Wednesday. Of those who watched TV on only one of these
days, 11 chose Monday, 7 chose Tuesday, and 6 chose Wednesday. If every student watches TV on at least 1 of
these days and 7 students watched on all 3 days, find the smallest possible number
of students in the class.