CONQUERING SAT MATH
218
9.
How many 5-digit numerals have 9 as the first digit,
3 or 6 as the third digit, and no digit repeated?
10. Someone writes a five digit numeral that reads the
same from left to right as right to left (a palindrome).
How many 5-digit palindromes are there?
11. A jar contains 10 blue, 8 green, and 6 red marbles.
Every time a marble is removed from the jar, it is not
replaced. What is the probability, to the nearest hundredth, that the second marble chosen is green if the
first marble chosen is green?
A. O.28
B. 0.29
C. 0.30
D. 0.31
E. 0.32
12. Five people, all different ages, are arranged in a row
so that the oldest person is in the middle and the two
youngest people are on the ends. How many different arrangements of this type exist?
A. 32
B. 16
15. Frank scored 26 points in a basketball game. All of
his points came from either a two-point or threepoint basket. If Frank scored at least one three-point
basket, what is the maximum number of two-point
baskets that Frank could have scored?
A. II
B. 10
C. 9
D. 8
E. 7
16. Fifty people went to see two different movies. Forty
saw Movie A and twenty saw both Movie A and
Movie B. How many people saw Movie B?
A. 10
B.20
C. 30
D.40
E. 50
17. Blaire, Chad, Erin, and Jordan randomly arranged in
four seats at the front row of the classroom. What is
the probability that Chad and B1aire are sitting next
to each other?
C. 8
D. 4
E. 2
13. A teacher gives stickers to students as a reward for
good work. The stickers are on a long strip and repeat in a regular order: Balloon, Happy Face, Clown
Face, and Spaceship. What are the 63rd and 65th
stickers handed out by the teacher?
A. 0.15
B. 0.25
C. 0.35
D. 0.4
E. 0.5
18. Using the diagram below, how many different ways
can you get from point A to point C and then back to
point A without retracing?
A. Balloon and Happy Face
B. Clown face and Balloon
C. Spaceship and Clown Face
D. Clown Face and Happy Face
E. Balloon and Spaceship
14. Seventy people are seated at a dinner party. Each
table at the party can seat eight people. What is the
minimum number of tables needed for the party?
A. 12
B. II
C.1O
D. 9
E. 8
A
c
158
CONQUERING SAT MATH
S. If the area of the rectangle is 120, what is the area of
triangle CPD?
Ar-______________~----~
t I. The base of a rectangle is three times as long as the
height. If the perimeter is 64, what is the area of the
rectangle?
A.24
B.64
C.96
D. 192
E. 216
12. What is the value of x in the figure seen below?
6
x
A.60
B. 100
c. 120
D.2oo
E. 240
10
6
10
9. In the parallelogram below, if x is 4 times as big as y,
then x - y =
A. 4
B.4J2
C. S
D. sJ2
E. 16
13. What is the area of a regular hexagon with perimeter
24?
A. 4../3
A.36
B. lOS
c. 144
D. ISO
E. 220
B. s../3
C. 12../3
D. 16../3
10. What is the area of the parallelogram below?
E. 24../3
14. The angles of a pentagon are in ratio 9: 10: 12: 14:15.
What is the sum of measures of the smallest and
largest angles?
A. 540
40
A. SO
B. 120
C. 10../3
D. 100../3
E. 400../3
B. Si o
C. 135 0
D. 216 0
E. 2700
98
CONQUERING SAT MATH
S. What is the perimeter ofthe triangle with vertices L
(1,5), M (- 3,- 3), and N (3.1)?
A.
=
6JW +4J13
B.
6../5 +2J13
=
=
11. A is the midpoint of PQ and B is the midpoint of XY.
P = (2,4) Q= (6,IO)X = (- 8,2), and Y=(4,-6). What
is the slope of AB?
A.
--32
B.
-
C.
3
2
D.
4
7
c. 4../5 +2m
D.
sm
E. 24J2
9. AB.L BC ,andA = (2,3),B=(6.-2),andC=(-5,q).
What is the value of q?
A. -10
B. -10.2
C. -10.4
D. -10.6
E. -IO.S
10. What is the length of AD in the graph below?
(-2,1) = A
(-2,-1) '" C
2
3
7
4
E.
=
12. A = (-3,5) and B (3.-4). The absolute value of the
slope of AB is equal to the slope of AC. What are the
coordinates of point C?
A. (S,-I)
B. (-I,S)
C. (-3,2)
D. (2,-3)
E. (-2,3)
B = (2,1)
D = (2,-1)
13. Let ms be the slope of line S and mr be the slope of
line T. If S .L T, which of the following is always
true?
I. ms· mr=-I
II. Imsl = Imrl
III. ms = 1
mr
A. I
A.
B.
2JW
JW
C. 2../5
D. ../5
E.
.Jl5
B.
C.
D.
E.
II
III
I and II
I and III