|
Quantitative
Section 18 (20 Minutes, 16 Questions)
Directions: You have 20 minutes
to answer the following 16 questions. Solve each problem and decide which
is the best of the choices given. Fill in the corresponding circle on
the answer sheet. You may use any available space for scratch work.
The use of a calculator is permitted.
All numbers used are real numbers.
Figures that accompany problems in this test are intended to provide valuable
information useful in solving the problems. They are drawn as accurately
as possible EXCEPT when it is stated in a specific problem that the figure
is not drawn to scale. All figures lie in a plane unless otherwise indicated.
Unless otherwise specified, the domain of any function f is assumed to
be the set of all real numbers x for which f (x) is a real number.
Reference Information:
Circles. Area = r2, Circumference = 2 r
Rectangles: Area = Length X Width
Right Triangles: Area = ½ (Base) (Height)
Cubes: Volume = Length x Width x Height
Cylinders: Volume = r2 h
Pythagorean Theorem: for right triangles c2 = a2 + b2
1. The Ice View Highway, which links City A and City B, provides two rest
areas every twelve miles. How many rest areas would a car pass if it traveled
one-half of the 4,356 miles of Ice View Highway, starting at the origin
of the highway?
a. 182
b. 356
c. 363
d. 726
e. 789
2. Seventy-five freshmen have signed up for extracurricular activities.
Fifty sign up for cheerleading. Thirty sign up for the yearbook staff.
Eleven sign up for both cheerleading and the yearbook staff. How many
of the seventy-five freshman have signed up for NEITHER cheerleading nor
the yearbook staff?
a. 3
b. 6
c. 8
d. 16
e. 18
3. Dan brought his car to the mechanic to have his engine fixed. The mechanic
quoted him the following prices for parts: $350 for a new alternator,
$150 for the battery and $25 for miscellaneous parts. Assuming that the
minimal charge for labor is $45 per hour (rounded to the nearest half-hour)
and that the shop can complete all repairs in 3.5 hours, what is the minimum
amount that Dan will have to pay to have his car fixed?
a. $157.50
b. $525.00
c. $682.50
d. $705.00
e. $727.50
4. In a large lecture hall containing 540 female students, 27 were on
birth control pills, 110 were taking antibiotics, and 220 were taking
antihistamines. The remaining 183 students were not taking any medication.
In simplest terms, what is the ratio of female students taking birth control
pills to the total number of students in the lecture hall?
a. 1: 100
b. 1 : 193
c. 1: 27
d. 1 : 20
e. 1 : 5
5. Triangles with equal angles and equal sides are called
a. Similar triangles
b. Congruent triangles
c. Scalene triangles
d. Isosceles triangles
e. Equilateral triangles
6. If the length of a square is increased by 3 inches, but 3 inches are
subtracted from its width, what is the overall effect on the area of the
new rectangle?
a. It is 9 square
inches smaller than the square
b. It is 33% smaller than the square
c. It is the same area as the square
d. It is 33% larger than the square
e. It cannot be determined from the information given.
7. In the xy-plane, a circle is centered at the origin and passes through
the point (-7,0). What is the area of the circle?
a. 49/
b. 3.5
c. 7
d. 49
e. 81
8. If f (a) = (a)(a) - 4a + 3, what is f(-1) ?
a. -2
b. 0
c. 7
d. 8
e. 9
9. What is the mean of the following set of numbers? 44, 33, 58, 22, 16,
66
a. 35.8
b. 38.5
c. 38.9
d. 39.8
e. 39.9
10. If it takes 12 people to serve 500 meals at the soup kitchen, how
many people will be required to serve 14,280 meals?
a. 29
b. 290
c. 343
d. 1190
e. 11,900
11. 23/42 - 35/84 =
a. -12/84
b. -11/84
c. 11/84
d. 12/84
e. 12/42
12. For the repeating decimal 0.04321043210432104321
.., what is
the 49th digit to the right of the decimal point?
a. 0
b. 1
c. 2
d. 3
e. 4
13. For a graduation gift, Sally's mother offered to buy her three CDs
from her list of seven favorites. How many different combinations does
Sally have to choose from?
a. 21
b. 42
c. 840
d. 1764
e. 2520
14. If p =3 and q is 2, what is (9p)(27q) =
a. 39
b. 314
c. (729)2
d. 6561 x 2
e. 95
15. If m (8)(10)(12)(14)= (4)(5)(6)(7), what is the value of m?
a. 1/16
b. 1/8
c. ½
d. 8
e. 16
16. Which of the following are the solutions to the following equation?
(x)(x) + 3x - 18= 0
a. -2, 9
b. 2, -9
c. -3, 6
d. 3, -6
e. 3, -9
STOP
The
answers to these questions are presented in Section
QA18
Want to learn more?
We are proud to offer 1,001 Questions and Answers for the SAT in
both electronic and paperback format.
To order the electronic
(PDF) version of the publication for $15.99, please click
here. When
you place your order, you can immediately download the document and save
it to your computer for future use - and print your own copy, if desired.
To order a paperback
version of the publication for $15.99 (plus shipping), which will
be delivered to your door, please click
here. The site accepts all major credit cards.

Back
to top
|