The sat math section 3 pps

5. At a school fair, the spinner represented in the
accompanying diagram is spun twice.
What is the probability that it will land in section
G the first time and then in section B the second
time?
a.
ᎏ
1
2
ᎏ
b.
ᎏ
1
4
ᎏ
c.
ᎏ
1
8
ᎏ
d.
ᎏ
1
1
6
ᎏ
e.
ᎏ
3
8
ᎏ

6. If a and b are integers, which equation is always
true?
a.
ᎏ
a
b
ᎏ
=
ᎏ
a
b
ᎏ
b. a + 2b = b + 2a
c. a – b = b – a
d. a + b = b + a
e. a – b
7. If x ≠ 0, the expression
ᎏ
x
2
+
x
2x
ᎏ
is equivalent to
a. x + 2.
b. 2.
c. 3x.
d. 4.
e. 5.

8. Given the statement: “If two sides of a triangle
are congruent, then the angles opposite these
sides are congruent.”
Given the converse of the statement: “If two
angles of a triangle are congruent, then the sides
opposite these angles are congruent.”
What is true about this statement and its
converse?
a. Both the statement and its converse are true.
b. Neither the statement nor its converse is true.
c. The statement is true, but its converse is false.
d. The statement is false, but its converse is true.
e. There is not enough information given to
determine an answer.
9. Which equation could represent the relationship
between the x and y values shown below?
xy
02
13
26
311
418
a. y = x + 2
b. y = x
2
+ 2
c. y = x
2
d. y = 2
x

e. y
2
10. If bx – 2 = K, then x equals
a.
ᎏ
K
b
ᎏ
+ 2.
b.
ᎏ
K
b
–2
ᎏ
.
c.
ᎏ
2–
b
K
ᎏ
.
d.
ᎏ
K
b
+2
ᎏ
.

e. k – 2.
RG
B
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11. What is the slope of line l in the following
diagram?
a. –
ᎏ
3
2
ᎏ
b. –
ᎏ
2
3
ᎏ
c.
ᎏ
2
3
ᎏ
d.
ᎏ
3
2
ᎏ
e. 2
ᎏ

2
3
ᎏ
12. From January 3 to January 7, Buffalo recorded
the following daily high temperatures: 5°, 7°, 6°,
5°, 7°. Which statement about the temperatures
is true?
a. mean = median
b. mean = mode
c. median = mode
d. mean < median
e. median < mode
13. In which of the following figures are segments
XY and YZ perpendicular?
a. Figure 1 only
b. Figure 2 only
c. both Figure 1 and Figure 2
d. neither Figure 1 nor Figure 2
e. not enough information given to determine
an answer
14. Let x and y be numbers such that 0 < x < y < 1,
and let d = x – y. Which graph could represent
the location of d on the number line?
15. A car travels 110 miles in 2 hours. At the same
rate of speed, how far will the car travel in h
hours?
a. 55h
b. 220h
c.
ᎏ

5
h
5
ᎏ
d.
ᎏ
2
h
20
ᎏ
e. 10h
16. In the set of positive integers, what is the solution
set of the inequality 2x – 3 < 5?
a. {0, 1, 2, 3}
b. {1, 2, 3}
c. {0, 1, 2, 3, 4}
d. {1, 2, 3, 4}
e. {0}
17. Which is a rational number?
a. ͙8
ෆ
b. π
c. 5͙9
ෆ
d. 6͙2
ෆ
e. 2π
a.
b.
c.

d.
e.
−110
0
0
0
0
xy
d
−11xy
−11xy
−11xy
−11x y
d
d
d
d
Y
ZX
Figure 1
10
8
6
Y
ZX
Figure 2
10
65°
25°
l

y
x
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18. Which polynomial is the quotient of
ᎏ
6x
3
+9
3
x
x
2
+3x
ᎏ
?
a. 2x
2
+ 3x + 1
b. 2x
2
+ 3x
c. 2x + 3
d. 6x
2
+ 9x
e. 2x – 3
19. If the length of a rectangular prism is doubled, its
width is tripled, and its height remains the same,

what is the volume of the new rectangular prism?
a. double the original volume
b. triple the original volume
c. six times the original volume
d. nine times the original volume
e. four times the original volume
20. A hotel charges $20 for the use of its dining room
and $2.50 a plate for each dinner. An association
gives a dinner and charges $3 a plate but invites
four nonpaying guests. If each person has one
plate, how many paying persons must attend for
the association to collect the exact amount
needed to pay the hotel?
a. 60
b. 44
c. 40
d. 20
e. 50
21. One root of the equation 2x
2
– x – 15 = 0 is
a.
ᎏ
5
2
ᎏ
.
b.
ᎏ
3

2
ᎏ
.
c. 3.
d. –3.
e. –
ᎏ
2
5
ᎏ
.
22. A boy got 50% of the questions on a test correct.
If he had 10 questions correct out of the first 12,
and
ᎏ
1
4
ᎏ
of the remaining questions correct, how
many questions were on the test?
a. 16
b. 24
c. 26
d. 28
e. 18
23. In isosceles triangle DOG, the measure of the ver-
tex angle is three times the measure of one of the
base angles. Which statement about ΔDOG is true?
a. ΔDOG is a scalene triangle.
b. ΔDOG is an acute triangle.

c. ΔDOG is a right triangle.
d. ΔDOG is an obtuse triangle.
e. ΔDOG is an alien triangle.
24. Which equation illustrates the distributive prop-
erty for real numbers?
a.
ᎏ
1
3
ᎏ
+
ᎏ
1
2
ᎏ
=
ᎏ
1
2
ᎏ
+
ᎏ
1
3
ᎏ
b. ͙3
ෆ
+ 0 = ͙3
ෆ
c. (1.3 × 0.07) × 0.63 = 1.3 × (0.07 × 0.63)

d. –3(5 + 7) = (–3)(5) + (–3)(7)
e. 3x + 4y = 12
25. Factor completely:
3x
2
– 27 =
a. 3(x – 3)
2
b. 3(x
2
– 27)
c. 3(x + 3)(x – 3)
d. (3x + 3)(x – 9)
e. 3x – 9
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26. A woman has a ladder that is 13 feet long. If she
sets the base of the ladder on level ground 5 feet
from the side of a house, how many feet above
the ground will the top of the ladder be when it
rests against the house?
a. 8
b. 9
c. 11
d. 12
e. 14
27. At a school costume party, seven girls wore
masks and nine boys did not. If there were 15
boys at the party and 20 students did not wear

masks, what was the total number of students at
the party?
a. 30
b. 33
c. 35
d. 42
e. 50
28. If one-half of a number is 8 less than two-thirds
of the number, what is the number?
a. 24
b. 32
c. 48
d. 54
e. 22
29. If a is an odd number, b an even number, and c
an odd number, which expression will always be
equivalent to an odd number?
a. a(bc)
b. acb
0
c. acb
1
d. acb
2
e. a
2
b
30. Which statement is NOT always true about a
parallelogram?
a. The diagonals are congruent.

b. The opposite sides are congruent.
c. The opposite angles are congruent.
d. The opposite sides are parallel.
e. The lines that form opposite sides will never
intersect.
31. Of the numbers listed, which choice is NOT
equivalent to the others?
a. 52%
b.
ᎏ
1
2
3
5
ᎏ
c. 52 × 10
–2
d. .052
e. none of the above
32. On Amanda’s tests, she scored 90, 95, 90, 80, 85,
95, 100, 100, and 95. Which statement is true?
I. The mean and median are 95.
II. The median and the mode are 95.
III. The mean and the mode are 95.
IV. The mode is 92.22.
a. statements I and IV
b. statement III
c. statement II
d. statement I
e. All of the statements are true.

33. Which figure can contain an obtuse angle?
a. right triangle
b. square
c. rectangle
d. isosceles triangle
e. cube
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34. If 5% of a number is 20, what would 50% of that
number be?
a. 250
b. 100
c. 200
d. 400
e. 500
35. Use the pattern below to determine which state-
ment(s) are correct.
xy
12
411
720
12 35
I. The pattern is 3x – 1.
II. The pattern is 2x + 1.
III. The pattern is 3x + 1.
IV. Of the first 100 terms, half will be even
numbers.
a. statement I only
b. statement II only

c. statement III only
d. statements I and IV
e. All of the above statements are correct.
36. The pie graph below is a representation of the
allocation of funds for a small Internet business
last year.
Suppose this year’s budget was $225,198. Accord-
ing to the graph, what was the dollar amount of
profit made?
a. $13,511.88
b. $18,015.84
c. $20,267.82
d. $22,519.80
e. $202,678.20
37. What type of number solves the equation
x
2
– 1 = 36?
a. a prime number
b. irrational number
c. rational number
d. an integer
e. There is no solution.
38. Points A and B lie on the graph of the linear
function y = 2x + 5. The x-coordinate of B is 4
greater than the x-coordinate of A. What can you
conclude about the y-coordinates of A and B?
a. The y-coordinate of B is 5 greater than the
y-coordinate of A.
b. The y-coordinate of B is 7 greater than the

y-coordinate of A.
c. The y-coordinate of B is 8 greater than the
y-coordinate of A.
d. The y-coordinate of B is 10 greater than the
y-coordinate of A.
e. The y-coordinate of B is 20 greater than the
y-coordinate of A.
30%
Rent
20%
Utilities
25%
Employee
Wages
6%
Taxes
9%
Profit
10%
Insurance
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39. Marguerite is remodeling her bathroom floor.
Each imported tile measures 1
ᎏ
2
7
ᎏ
inch by 1

ᎏ
4
5
ᎏ
inch.
What is the area of each tile?
a. 1
ᎏ
3
8
5
ᎏ
square inches
b. 1
ᎏ
1
3
1
5
ᎏ
square inches
c. 2
ᎏ
1
3
1
5
ᎏ
square inches
d. 3

ᎏ
3
3
5
ᎏ
square inches
e. 4
ᎏ
3
1
2
ᎏ
square inches
40. If Deirdre walks from Point A to Point B to Point
C at a constant rate of 2 mph without stopping,
what is the total time she takes?
a. (x + y) × 2
b. 2x + 2y
c. xy Ϭ 2
d. (x + y) Ϭ 2
e. xy
2
A
BC
x miles y miles
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