April 8, 2014

SAT Mathematics Sample Questions


1. Determine the area of a rectangle with a length of 7 feet and a height
of 9 feet.

(A) 81 ft.2
(B) 63 ft.2
(C) 32 ft.2
(D) 31.5 ft.2
(E) 16 ft.2


2. Determine the perimeter of a rectangle with a length of 5 inches and a
height of 7
inches.

(A) 49 in.
(B) 35 in.
(C) 24 in.
(D) 17.5 in.
(E) 12 in.


3. Determine which figure has a greater area: Figure A, which is a
circle with a diameter of 9 inches, or Figure B, which is a circle
with a radius of 5 inches.

(A) Figure A has a greater area than figure B.
(B) Figure B has a greater area than figure A.
(C) Figure A and Figure B have the same area.
(D) It is impossible to compare the two figures.
(E) There is not enough information to answer the question.


4. Determine the volume of a rectangular box with a length of 5 inches, a
height of 7 inches, and a width of 9 inches.

(A) 445.095 in.3
(B) 315 in.3
(C) 45 in.3
(D) 35 in.3
(E) 21 in.3


5. Determine the volume of a cylinder with a diameter of 9 inches and a
height of 7 inches.

(A) 445.095 in.3
(B) 315 in.3
(C) 197.82 in.3
(D) 63 in.3
(E) 16 in.3


6. Determine the value of x if 6x – 7 = 11 and 4x – 8 + 2
= 6.


7. Determine the value of x if |4x – 3| = 7 and |2x + 2| = 0.


8. A major automotive manufacturing plant has designed a formula to
estimate the number of parts they will need to purchase in order to fill
their orders for a specific period of time. Using their formula,
F(x) = x * 2p – (bx *
d), where F is the number of parts required to fill the orders,
x is the number of days in the period, p is the number of
parts that the plant uses on average per day, b is the number of
parts that the plant currently has on hand, and d is the number of
defective parts the plant expects to have each day, determine the number of
parts that the plant will have to order for a 5-day period in which they
use 15 parts per day, have 50 parts on hand, and expect to have 5 defective
parts each day.


9. A standard deck of playing cards consists of 52 cards separated evenly
into four different suits, which includes hearts, diamonds, spades, and
clubs. Each card is identified by its suit and by a number from 2 – 10, or
a J for jack, a Q for queen, a K for king, and
an A for ace. Using this information, determine the probability of
drawing an ace on the first card drawn and the probability of drawing the
ace of spades on the first card drawn.

(A) 4/13, 1/13
(B) 1/52, 3/52
(C) 1/4, 3/4
(D) 1/13, 1/52
(E) 1/13, 1/1352


10. A standard deck of playing cards consists of 52 cards separated evenly
into four different suits, which includes hearts, diamonds, spades, and
clubs. Each card is identified by its suit and by a number from 2 – 10, or
a J for jack, a Q for queen, a K for king, and
an A for ace. Using this information, determine the probability
that an individual will draw two aces if he or she draws two cards from the
deck without replacing the first card that he or she draws.

(A) 1/13
(B) 1/52
(C) 1/17
(D) 1/221
(E) 1/1352

SAT Prep Help Mathematics Answers & Explanations

Video Review

Home