SAT Math Practice Test 3

Directions: Solve each problem and select the best of the answer choices given.

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Question 1
Flying at a constant speed, a bird traveled 72 miles in 6 hours. At this rate, how many miles did the bird travel in 5 hours?

A
12
B
30
C
60
D
14.4
E
120
Question 1 Explanation: 
Here is the rate of the bird: 72/6 = 12 miles per hour.
The distance traveled in 5 hours will be: 12 x 5 = 60
Question 2
sm1

The table above represents a relationship between and x and y. Which of the following linear equations describes the relationship?

A
y = x + 1
B
y = x + 3
C
y = 3x
D
y = 2x
E
y = 3x - 1
Question 2 Explanation: 
This is the only option that satisfies for all the values of x in the tables.
Question 3
Three kids own a total of 96 comic books. If one of them owns 16 of them, what is the average (arithmetic mean) number of comic books owned by other two kids?

A
40
B
42
C
44
D
46
E
50
Question 3 Explanation: 
Number of comic books owned by the other two is: 96 - 16 = 80.
The average number is 80/2 = 40.
Question 4
The total cost of 4 equally priced pens is $6. If the cost per pen is increased by $0.25, how much will 3 of these pens cost at the new rate?

A
$5.25
B
$5.00
C
$5.50
D
$10.50
E
$8.25
Question 4 Explanation: 
Rate/pen = 6/4 = 1.5
Since the price increased by .25, the new rate/pen = 1.5 + .25 = 1.75
The cost of 3 pens will be 3 x 1.75 = 5.25
Question 5
A “Triangle” is any positive integer greater than 1 that has only three positive integer factors: itself, its square root, and 1. Which of the following is a Triangle?

A
169
B
100
C
36
D
81
E
64
Question 5 Explanation: 
The only factors of 169 are: 169, 13, and 1. The square root of 169 is 13. All the other options have more than 3 factors.
Question 6
If the average (arithmetic mean) of 2x and 4x is 18, what is the value of x?

A
2
B
3
C
6
D
9
E
10
Question 6 Explanation: 
Use the formula for average:
(2x + 4x)/2 = 18
(6x)/2 = 18
6x = 18 x 2
6x = 36
x = 6
Question 7
sm2

The table above, which describes the New York City workforce, is partially filled in. Based on this information, how many women in the New York City workforce are unemployed?

A
500
B
1,500
C
2,500
D
3,500
E
18,000
Question 7 Explanation: 
First we can compute the number of employed women by using the numbers in the first column:
40,000 - 22,000 = 18,000
Then we can compute the number of unemployed women by using the data in the second row:
21,500 - 18,000 = 3,500
Question 8
If a, b, c are integers, let aW(b,c) be defined to be true only if b ≤ a ≤ c. If -3W(b,0) is true, which of the following could be a possible value of b?

I. -3

II. 5

III. -5

A
I only
B
II only
C
I and II
D
I and III
E
All are correct
Question 8 Explanation: 
If -3W(b,0) is true, then b ≤ -3 ≤ 0. So b is either -3 or less than that. So from these options, b could be -3 or -5.
Question 9
Trains A, B and C passed through a station at different speeds. Train A’s speed was 2 times Train B’s speed and Train C’s speed was 3 times Train A’s. What was Train C’s speed in miles per hour, if the Train B’s speed was 9 miles per hour?

A
54
B
9
C
27
D
18
E
45
Question 9 Explanation: 
A = 2B and C = 3A ⇒ C = 3(2B) = 6B
We know the speed of Train B is 9 miles/hour.
C = 6(9)
C = 54
Question 10
sm3

The graph of y = f (x) is shown above. If f (3) = k, which of the following could be the value of f (k)?

A
3
B
3.5
C
4
D
4.5
E
2
Question 10 Explanation: 
f (3) = k ⇒ 4 = kk = 4
So for k = 4, f = 2
f (4) = 2
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