Unit Test — Unit test Answers

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Milo drives 126 miles on 7.5 gallons of gas. How far does he travel on each gallon of gas?

A
1.68 miles
B
16.8 miles
C
168 miles
D
1,680 miles
2
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Shannon paid $57.25 for 28 pounds of potatoes. Shannon estimated the cost per pound to be $3.00. What is her error?

A
Shannon rounded $57.25 to $40 and 28 pounds to 20 before dividing.
B
Shannon rounded $57.25 to $60 and 28 pounds to 20 before dividing.
C
Shannon rounded $57.25 to $40 and 28 pounds to 30 before dividing.
D
Shannon rounded $57.25 to $60 and 28 pounds to 40 before dividing.
3

Ella completed the division problem below. What is Ella’s error?

Question illustration
A
She included a 0 in the quotient, which does not belong.
B
She multiplied the dividend by 100 instead of 10.
C
She should have multiplied both numbers by 100.
D
She did not subtract correctly in one of the steps.
5

What is the sum of the first four composite numbers?

A
19
B
20
C
27
D
28
6

What is the prime factorization of 40?

A
2 times 5
Option A
B
2 times 20
Option B
C
2 times 2 times 2 times 5
Option C
D
2 times 2 times 4 times 5
Option D
7

Emilio’s paycheck was $305.25, and he makes $9.25 per hour. How many hours did Emilio work?

A
0.33 hours
B
3.3 hours
C
33 hours
D
330 hours
8

Manuel created a factor tree and wrote the prime factorization of 60 shown below. What is Manuel’s error?

Question illustration
A
He did not include 15 in the prime factorization.
B
He did not find the prime factors of 4.
C
He should have started the factor tree with .
Option C
D
He should not have found the factors of 15.
9

Jaime created the list of factors of 32 below. 32: 1, 2, 4, 6, 8, 16, 32 Which number should be removed from this list to make the list accurate?

A
1
B
6
C
16
D
32
10

The product of 84.12 and which number will have three decimal places?

A
4.22
B
10.51
C
14.163
D
19.3
11

Brenna is buying 4.25 feet of ribbon for $1.95 a foot. She determines the product of the two numbers to determine the actual cost of the length of ribbon. Which expression will result in the best estimate for Brenna to use to check her multiplication?

A
4 times 1
Option A
B
4 times 2
Option B
C
5 times 1
Option C
D
5 times 2
Option D
12

Shana bought 6.2 pounds of pecans and paid $56.00. About how much per pound did the pecans cost?

A
$5.00
B
$6.00
C
$8.00
D
$10.00
13

Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?

A
82.242 miles
B
822.42 miles
C
8,224.2 miles
D
82,242 miles
14

What is the difference between the largest prime number less than 50 and the smallest composite number greater than 10?

A
35
B
36
C
37
D
38
15

Ray created the list of factors for 48 below. 48: 1, 2, 3, 4, 6, 7, 8, 12, 16, 24, 48Which number should be removed from his list to make the list accurate?

A
3
B
7
C
16
D
48
16

Wyatt hiked for 4.7 hours at a rate of 2.9 miles per hour. He determined that he hiked 13.63 miles. Which best explains the reasonableness of Wyatt’s answer?

A
There are two digits to the left of the decimal in the factors and two digits to the left of the decimal in the product, so Wyatt’s answer is reasonable.
B
There are two digits to the right of the decimal in the factors and two digits to the right of the decimal in the product, so Wyatt’s answer is reasonable.
C
Wyatt’s answer is reasonable because is 8, and 8 is close to 13.63.
Option C
D
Wyatt’s answer is reasonable because is 15, and 15 is close to 13.63.
Option D
17

Kenji wants to divide 48.6 by 0.15. What is the first step that Kenji must complete?

A
Multiply the divisor and dividend by 10.
B
Multiply the divisor and dividend by 100.
C
Divide the divisor and dividend by 100.
D
Divide the divisor and dividend by 10.
18

Chen completed the division problem below. What is Chen’s error?

Question illustration
A
He included a 4 in the quotient, which does not belong.
B
He multiplied the dividend by 100 instead of 10.
C
He should have multiplied both numbers by 100.
D
He did not subtract correctly in one of the steps.
19

Latoya created a factor tree and wrote the prime factorization of 90 shown below.What is Latoya’s error?

Question illustration
A
She should not have found the factors of 9.
B
She should have included an exponent of 2 on the 3.
C
She should have included 9 and 10 in the prime factorization.
D
She should have started the tree with .
Option D
20

Prime numbers have

A
less than two factors.
B
more than two factors.
C
exactly two factors.
D
less than or equal to two factors.

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