NAEP NQT v3.0 -- Print Output

Additional Materials (1)

Additional Materials (2)

Additional Materials (3)

Additional Materials (4)

Additional Material (1)

The following question refers to the following information. The cost to mail a first-class letter is 33 cents for the first ounce. Each additional ounce costs 22 cents. (Fractions of an ounce are rounded up to the next whole ounce.)
1.	How much would it cost to mail a letter that weighs 2.7 ounces?

	A)	55 cents
	B)	66 cents
	C)	77 cents
	D)	88 cents
	E)	99 cents

The following question refers to the following information. The cost to mail a first-class letter is 33 cents for the first ounce. Each additional ounce costs 22 cents. (Fractions of an ounce are rounded up to the next whole ounce.)
2.	What is a possible weight for a first-class letter that costs $1.21 to mail? Show your work.

3.	In a certain restaurant a whole pie has been sliced into 8 equal wedges. Only 2 slices of the pie remain. Three people would each like an equal portion from the remaining slices of pie. What fraction of the original pie should each person receive?

	Answer: _________________________

/STRONG> refers to the following diagram.
4.	If you were to redraw the diagram using a scale of inch = 10 feet, what would be the length of the side that is 48 feet?

	A)	3.0 in
	B)	3.6 in
	C)	5.6 in
	D)	7.5 in
	E)	12.0 in

The following question refer to the following information. Easy Ride Van Company finds that about 40 percent of the time a person who makes an advance reservation for transportation does not keep the reservation. Therefore, for each of their 10-passenger vans, the Easy Ride Van Company schedules 13 persons on the basis of advance reservations.
5.	Based on the information above, about how many riders out of the 13 scheduled would not keep their reservations?

	A)	1
	B)	3
	C)	5
	D)	7
	E)	9

6.	If the digit in the tens place of 37,241 is increased by one and the digit in the thousands place is decreased by one, how has the number been changed?

	A)	The number has been decreased by 990.
	B)	The number has been decreased by 1,000.
	C)	The number has been decreased by 1,010.
	D)	The number has been increased by 10.
	E)	The number has been increased by 1,010.

7.	The remainder when a number n is divided by 7 is 2. Which of the following is the remainder when 2n + 1 is divided by 7 ?

	A)	1
	B)	2
	C)	3
	D)	4
	E)	5

8.	Roxanne plans to enlarge her photograph, which is 4 inches by 6 inches. Which of the following enlargements maintains the same proportions as the original photograph? Justify your answer. 5 inches by 7 inches 5 inches by inches



Did you use the calculator on this question?

9.	The town of Mayville taxes property at a rate of $42 for each $1,000 of estimated value. What is the estimated value of a property on which the owner owes $5,250 in property tax?

	A)	$42,000
	B)	$47,250
	C)	$125,000
	D)	$220,500
	E)	$5,250,000

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Question 10 refers to Additional Material (1)

10.

If x and y are integers, then the expression 4x + 5y has a value that is odd or even depending on the values of x and y. For example, if x and y are each even, 4x is even and 5y is even. Therefore, 4x + 5y is also even. Fill in each of the blank spaces in the following table with either "odd" or "even" for the value of 4x + 5y.

Value of x	Value of y	Value of 4x + 5y
even	even	even
even	odd
odd	even
odd	odd

11.	If each of the counting numbers from 1 through 10 is multiplied by 13, how many of the resulting numbers will be even?

	A)	One
	B)	Four
	C)	Five
	D)	Six
	E)	Ten

Did you use the calculator on this question?


12.	In 1980, the populations of Town A and Town B were 5,000 and 6,000, respectively. The 1990 populations of Town A and Town B were 8,000 and 9,000, respectively.
	Brian claims that from 1980 to 1990 the populations of the two towns grew by the same amount. Use mathematics to explain how Brian might have justified his claim. Darlene claims that from 1980 to 1990 the population of Town A had grown more. Use mathematics to explain how Darlene might have justified her claim.

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13.	The population of the United States is approximately 250 million, and the national debt is approximately 4 trillion dollars. If this debt were divided equally among the population, what would be the debt, in dollars, per person?

	A)	16
	B)	1,600
	C)	16,000
	D)	1,600,000
	E)	16,000,000

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14.	Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink. Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water. Who made the drink with the stronger cherry flavor?
	Give mathematical evidence to justify your answer.

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15.	A certain machine produces 300 nails per minute. At this rate, how long will it take the machine to produce enough nails to fill 5 boxes of nails if each box will contain 250 nails?

	A)	4 min
	B)	4 min 6 sec
	C)	4 min 10 sec
	D)	4 min 50 sec
	E)	5 min


16.	If the string does not cost anything, how much does the necklace above cost?

	A)	10¢
	B)	24¢
	C)	28¢
	D)	34¢


17.	Carol wanted to estimate the distance from A to D along the path shown on the map above. She correctly rounded each of the given distances to the nearest mile and then added them. Which of the following sums could be hers?

	A)	4 + 6 + 5 = 15
	B)	5 + 6 + 5 = 16
	C)	5 + 6 + 6 = 17
	D)	5 + 7 + 6 = 18

18.	Divide:
	Answer:____________________

19.	It takes 28 minutes for a certain bacteria population to double. If there are 5,241,763 bacteria in this population at 1:00 p.m., which of the following is closest to the number of bacteria in millions at 2:30 p.m. on the same day?

	A)	80
	B)	40
	C)	20
	D)	15
	E)	10

20.

In a recent election between Candidates A and B, 48 percent of the male voters and 55 percent of the female voters voted for Candidate A. Did Candidate A receive more votes than Candidate B?

A. YES

B. NO

C. CANNOT TELL

Explain your answer:

21.	Debbie runs 0.6 of a mile every day. How many miles will Debbie run in 45 days?
	Answer:____________________

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22.	Suppose 4r = 3s = 10t, where r, s, and t are positive integers. What is the sum of the least values of r, s, and t for which this equality is true?

	A)	7
	B)	17
	C)	41
	D)	82
	E)	120

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Video Store A	Video Store B
$2.65 per tape for one night	$3.00 per tape for 2 nights
$1.50 charge for each additional night	1 credit if tape returned after one night
Every 10th tape free for one night	Every 10 credits = one free rental

23.

The Peterson family rents 30 videotapes yearly, of which 23 are rented for one night only and 7 are rented over a period of two nights. Given the rental fee structures shown above, fill in the chart below with the total yearly cost for the Petersons at each store. (Note: The 30 tapes include the free tapes earned.)

Store	Total Cost
A
B

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42, 51, 49, 58, 56, . . .
24.	If the pattern in the list above continues, what will be the next number after 56?

	A)	54
	B)	63
	C)	64
	D)	65
	E)	67

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25.	What is the difference between the smallest positive 3-digit number and the largest positive 2-digit number?

	A)	1
	B)	9
	C)	10
	D)	90
	E)	900

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26.	Ken bought a used car for $5,375. He had to pay an additional 15 percent of the purchase price to cover both sales tax and extra fees. Of the following, which is closest to the total amount Ken paid?

	A)	$806
	B)	$5,510
	C)	$5,760
	D)	$5,940
	E)	$6,180

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27.	Which of the following is both a multiple of 3 and a multiple of 7?

	A)	7,007
	B)	8,192
	C)	21,567
	D)	22,287
	E)	40,040

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28.

Tracy said, "I can multiply 6 by another number and get an answer that is smaller than 6."

Pat said, "No, you can't. Multiplying 6 by another number always makes the answer 6 or larger."

Who is correct? Give a reason for your answer.

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29.	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?
	Answer:____________________

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30.	Rulers cost $0.85 each, including tax. How many rulers can Tom buy if he has $7.00?
	Answer:____________________

31.	On the number line below, place a dot at the point that could represent 1.75.

32.	In a group of 1,200 adults, there are 300 vegetarians. What is the ratio of nonvegetarians to vegetarians in the group?

	A)	1 to 3
	B)	1 to 4
	C)	3 to 1
	D)	4 to 1
	E)	4 to 3

33.

If	2	=	n	, then n =
	25		500

34.	Which of the following figures best illustrates the statement 5 × (6 + 2) = (5 × 6) + (5 × 2)?

	A)
	B)
	C)
	D)
	E)

35.	The least common multiple of 8, 12, and a third number is 120. Which of the following could be the third number?

	A)	15
	B)	16
	C)	24
	D)	32
	E)	48

36.	What is 2/3 of 15 marbles?

	A)	10 marbles
	B)	9 marbles
	C)	8 marbles
	D)	5 marbles

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37.	In the division problem above, what number does represent?

	A)	116
	B)	120
	C)	124
	D)	160
	E)	480

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38.	The figure above shows the display on a scientific calculator. The value of the displayed number is between which of the following pairs of numbers?

	A)	0.04 and 0.05
	B)	0.4 and 0.5
	C)	4.0 and 5.0
	D)	40.0 and 50.0
	E)	400.0 and 500.0

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39.	Pencils sell individually for $0.07 each or in packs of 12 for $0.79 per pack. How much is saved when 24 pencils are purchased by the pack instead of individually?

	A)	$0.01
	B)	$0.05
	C)	$0.10
	D)	$0.72
	E)	$1.44

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40.	What percent of 175 is 7 ?

	A)	4%
	B)	12.25%
	C)	25%
	D)	40%

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41.	The postal rate is 25 cents for the first ounce and 20 cents for each additional ounce or part of an ounce. What would it cost to mail a package that weighs 6.8 ounces?

	A)	$1.25
	B)	$1.40
	C)	$1.45
	D)	$1.70
	E)	$1.75

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42.	A savings account earns 1 percent interest per month on the sum of the initial amount deposited plus any accumulated interest. If a savings account is opened with an initial deposit of $1,000 and no other deposits or withdrawals are made, what will be the amount in this account at the end of 6 months?

	A)	$1,060.00
	B)	$1,061.52
	C)	$1,072.14
	D)	$1,600.00
	E)	$6,000.00

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Question 1

Key


1.	How much would it cost to mail a letter that weighs 2.7 ounces?

	A)	55 cents
	B)	66 cents
	C)	77 cents
	D)	88 cents
	E)	99 cents

Question 2

Scoring Guide

Solution:

Any number of ounces greater than 4 but less than or equal to 5.

4 < oz < 5

Score & Description

	Correct
	Correct response with correct work and correct label - must say ounces.

Partial

Correct response (or correct process) with computational error; includes an answer of 4 with everything else correct.

Correct response without work or labels.

	Incorrect
	Incorrect response including all papers where 33 cents is used as cost of additional ounce.

Correct - Student Response

2	What is a possible weight for a first-class letter that costs $1.21 to mail? Show your work.

	Scorer Comments: This response received full credit because the student gave a correct answer with the correct label and showed the work.

Partial - Student Response

2	What is a possible weight for a first-class letter that costs $1.21 to mail? Show your work.

	Scorer Comments: This response received partial credit because the student followed the correct process, but did not include the first ounce when specifying a final answer.

Incorrect - Student Response

2	What is a possible weight for a first-class letter that costs $1.21 to mail? Show your work.

	Scorer Comments: This response received no credit because the answer given is incorrect and the work shown does not support the answer.

Question 3

Scoring Guide

Solution:

or equivalent

Score & Description

	Correct
	Correct response.

	Incorrect
	Incorrect response.

Correct - Student Response

3	In a certain restaurant a whole pie has been sliced into 8 equal wedges. Only 2 slices of the pie remain. Three people would each like an equal portion from the remaining slices of pie. What fraction of the original pie should each person receive?

Incorrect - Student Response

3	In a certain restaurant a whole pie has been sliced into 8 equal wedges. Only 2 slices of the pie remain. Three people would each like an equal portion from the remaining slices of pie. What fraction of the original pie should each person receive?

Question 4

Key


4.	If you were to redraw the diagram using a scale of inch = 10 feet, what would be the length of the side that is 48 feet?

	A)	3.0 in
	B)	3.6 in
	C)	5.6 in
	D)	7.5 in
	E)	12.0 in

Question 5

Key


5.	Based on the information above, about how many riders out of the 13 scheduled would not keep their reservations?

	A)	1
	B)	3
	C)	5
	D)	7
	E)	9

Question 6

Key


6.	If the digit in the tens place of 37,241 is increased by one and the digit in the thousands place is decreased by one, how has the number been changed?

	A)	The number has been decreased by 990.
	B)	The number has been decreased by 1,000.
	C)	The number has been decreased by 1,010.
	D)	The number has been increased by 10.
	E)	The number has been increased by 1,010.

Question 7

Key


7.	The remainder when a number n is divided by 7 is 2. Which of the following is the remainder when 2n + 1 is divided by 7 ?

	A)	1
	B)	2
	C)	3
	D)	4
	E)	5

Question 8

Scoring Guide

Solution:

where x = the length of the enlarged picture

4x = 30, x = 30/4 = 7 1/2

To be a proportional enlargement, the picture should be 5 inches by inches because that maintains the same ratio of width to length as the 4-inch by 6-inch picture.

Score & Description

	Correct
	Correct response with justification.

	Incorrect
	Incorrect response.

Correct - Student Response

8	Roxanne plans to enlarge her photograph, which is 4 inches by 6 inches. Which of the following enlargements maintains the same proportions as the original photograph? Justify your answer. 5 inches by 7 inches 5 inches by inches

Incorrect - Student Response

8	Roxanne plans to enlarge her photograph, which is 4 inches by 6 inches. Which of the following enlargements maintains the same proportions as the original photograph? Justify your answer. 5 inches by 7 inches 5 inches by inches

Question 9

Key


9.	The town of Mayville taxes property at a rate of $42 for each $1,000 of estimated value. What is the estimated value of a property on which the owner owes $5,250 in property tax?

	A)	$42,000
	B)	$47,250
	C)	$125,000
	D)	$220,500
	E)	$5,250,000

Question 10

Scoring Guide

Solution:
odd, even, odd

Scoring Guide

In this question, a student needed to use elementary number theory to determine whether the value of an algebraic expression was even or odd. A student could also have made numeric substitutions into the given algebraic expression in order to get the correct answer. To earn full credit a student needed to answer all three parts correctly.

Score & Description

	Correct
	Correct response

	Incorrect #2
	1 or 2 entries correct

	Incorrect #1
	Incorrect response

* The use of more than one incorrect category in this question enabled NAEP to gather data on common student errors. Any response that fell into one of these incorrect categories earned no credit.

Correct - Student Response

10	If x and y are integers, then the expression 4x + 5y has a value that is odd or even depending on the values of x and y. For example, if x and y are each even, 4x is even and 5y is even. Therefore, 4x + 5y is also even. Fill in each of the blank spaces in the following table with either "odd" or "even" for the value of 4x + 5y.


10	If x and y are integers, then the expression 4x + 5y has a value that is odd or even depending on the values of x and y. For example, if x and y are each even, 4x is even and 5y is even. Therefore, 4x + 5y is also even. Fill in each of the blank spaces in the following table with either "odd" or "even" for the value of 4x + 5y.

Incorrect #2 - Student Response

10	If x and y are integers, then the expression 4x + 5y has a value that is odd or even depending on the values of x and y. For example, if x and y are each even, 4x is even and 5y is even. Therefore, 4x + 5y is also even. Fill in each of the blank spaces in the following table with either "odd" or "even" for the value of 4x + 5y.


10	If x and y are integers, then the expression 4x + 5y has a value that is odd or even depending on the values of x and y. For example, if x and y are each even, 4x is even and 5y is even. Therefore, 4x + 5y is also even. Fill in each of the blank spaces in the following table with either "odd" or "even" for the value of 4x + 5y.

Incorrect #1 - Student Response

10	If x and y are integers, then the expression 4x + 5y has a value that is odd or even depending on the values of x and y. For example, if x and y are each even, 4x is even and 5y is even. Therefore, 4x + 5y is also even. Fill in each of the blank spaces in the following table with either "odd" or "even" for the value of 4x + 5y.


10	If x and y are integers, then the expression 4x + 5y has a value that is odd or even depending on the values of x and y. For example, if x and y are each even, 4x is even and 5y is even. Therefore, 4x + 5y is also even. Fill in each of the blank spaces in the following table with either "odd" or "even" for the value of 4x + 5y.

Question 11

Key


11.	If each of the counting numbers from 1 through 10 is multiplied by 13, how many of the resulting numbers will be even?

	A)	One
	B)	Four
	C)	Five
	D)	Six
	E)	Ten

Question 12

Scoring Guide

Solution:

Score & Description

	Correct
	Correct response

	Partial
	Gives correct reason for Brian or Darlene but not both. (Reason must include mathematics illustrated in above solution or an appropriate reason using proportion.) OR uses 1000 or 3000 (without additional mathematics) for Brian's claim and uses 60% and 50% (or their equivalents) without additional mathematics for Darlene's claim

	Incorrect
	Incorrect response

Note: If a response is correct except that numbers used are 3, 5, 6, 8, and 9 instead of 3,000, 5,000, etc., it should be scored a 3.

Correct - Student Response

12	In 1980, the populations of Town A and Town B were 5,000 and 6,000, respectively. The 1990 populations of Town A and Town B were 8,000 and 9,000, respectively.

Partial - Student Response

12	In 1980, the populations of Town A and Town B were 5,000 and 6,000, respectively. The 1990 populations of Town A and Town B were 8,000 and 9,000, respectively.

Incorrect - Student Response

12	In 1980, the populations of Town A and Town B were 5,000 and 6,000, respectively. The 1990 populations of Town A and Town B were 8,000 and 9,000, respectively.


12	In 1980, the populations of Town A and Town B were 5,000 and 6,000, respectively. The 1990 populations of Town A and Town B were 8,000 and 9,000, respectively.

Question 13

Key


13.	The population of the United States is approximately 250 million, and the national debt is approximately 4 trillion dollars. If this debt were divided equally among the population, what would be the debt, in dollars, per person?

	A)	16
	B)	1,600
	C)	16,000
	D)	1,600,000
	E)	16,000,000

Question 14

Scoring Guide

Solution:
Martin's drink has the stronger cherry flavor.

6÷59 < 5÷47
0.1017 < 0.1064
OR
6÷53 < 5÷42
0.1132 < 0.1190
OR
Luis: 1 part CS to 8.8 parts water < Martin: 1 part CS to 8.4 parts water

Scoring Guide

In this question, a student has to use ratios to describe a situation and make a comparison of whether Luis or Martin makes the drink with the stronger cherry flavor. There are various combinations of ratios that could be correctly used in this question. Setting up the ratios correctly, performing the division correctly (students had a calculator available in this question) and answering that Martin's drink has the stronger cherry flavor would earn a student full credit. Partial credit could be earned if a student compares a pair of correct ratios but does not draw a conclusion on whose drink has the stronger cherry flavor.

Score & Description

	Correct
	Correct response

	Partial
	Compares a pair of correct ratios for both Luis and Martin but does not give the correct answer

	Incorrect
	Incorrect response

Correct - Student Response

14	Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink. Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water. Who made the drink with the stronger cherry flavor?


14	Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink. Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water. Who made the drink with the stronger cherry flavor?

Partial - Student Response

14	Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink. Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water. Who made the drink with the stronger cherry flavor?


14	Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink. Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water. Who made the drink with the stronger cherry flavor?

Incorrect - Student Response

14	Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink. Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water. Who made the drink with the stronger cherry flavor?


14	Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink. Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water. Who made the drink with the stronger cherry flavor?

Question 15

Key


15.	A certain machine produces 300 nails per minute. At this rate, how long will it take the machine to produce enough nails to fill 5 boxes of nails if each box will contain 250 nails?

	A)	4 min
	B)	4 min 6 sec
	C)	4 min 10 sec
	D)	4 min 50 sec
	E)	5 min

Question 16

Key


16.	If the string does not cost anything, how much does the necklace above cost?

	A)	10¢
	B)	24¢
	C)	28¢
	D)	34¢

Question 17

Key


17.	Carol wanted to estimate the distance from A to D along the path shown on the map above. She correctly rounded each of the given distances to the nearest mile and then added them. Which of the following sums could be hers?

	A)	4 + 6 + 5 = 15
	B)	5 + 6 + 5 = 16
	C)	5 + 6 + 6 = 17
	D)	5 + 7 + 6 = 18

Question 18

Scoring Guide

Score & Description

	Correct
	2.03

	Incorrect #2
	2.3

	Incorrect #1
	Any incorrect response other than as described in 2.

*The use of more than one incorrect category in this question enabled NAEP to gather data on common student errors. Any response that fell into one of the incorrect categories earned no credit.

Correct - Student Response

18	Divide:

Incorrect #2 - Student Response

18	Divide:

Incorrect #1 - Student Response

18	Divide:


18	Divide:

Question 19

Key


19.	It takes 28 minutes for a certain bacteria population to double. If there are 5,241,763 bacteria in this population at 1:00 p.m., which of the following is closest to the number of bacteria in millions at 2:30 p.m. on the same day?

	A)	80
	B)	40
	C)	20
	D)	15
	E)	10

Question 20

Scoring Guide

Score & Description

Correct

Cannot tell.
You need to know the number of males and the number of females that voted in the election.

(An answer that clearly indicates that the student realizes the need to know the number of voters is acceptable as a correct answer.)

	Incorrect #2
	Correct answer, (Cannot tell), with an incorrect or no explanation.

	Incorrect #1
	Incorrect answer, (Yes or No), with or without an explanation.

NOTE:
This question does not follow general scoring guidelines. Scorer must read bubbled response as a part of the scoring process.

*The use of more than one incorrect category in this question enabled NAEP to gather data on common student errors. Any response that fell into one of the incorrect categories earned no credit.

Correct - Student Response

20	In a recent election between Candidates A and B, 48 percent of the male voters and 55 percent of the female voters voted for Candidate A. Did Candidate A receive more votes than Candidate B?


20	In a recent election between Candidates A and B, 48 percent of the male voters and 55 percent of the female voters voted for Candidate A. Did Candidate A receive more votes than Candidate B?

Incorrect #2 - Student Response

20	In a recent election between Candidates A and B, 48 percent of the male voters and 55 percent of the female voters voted for Candidate A. Did Candidate A receive more votes than Candidate B?


20	In a recent election between Candidates A and B, 48 percent of the male voters and 55 percent of the female voters voted for Candidate A. Did Candidate A receive more votes than Candidate B?

Incorrect #1 - Student Response

20	In a recent election between Candidates A and B, 48 percent of the male voters and 55 percent of the female voters voted for Candidate A. Did Candidate A receive more votes than Candidate B?


20	In a recent election between Candidates A and B, 48 percent of the male voters and 55 percent of the female voters voted for Candidate A. Did Candidate A receive more votes than Candidate B?

Question 21

Scoring Guide

Score & Description

	Correct
	27

	Incorrect
	Any incorrect response.

Correct - Student Response

21	Debbie runs 0.6 of a mile every day. How many miles will Debbie run in 45 days?


21	Debbie runs 0.6 of a mile every day. How many miles will Debbie run in 45 days?

Incorrect - Student Response

21	Debbie runs 0.6 of a mile every day. How many miles will Debbie run in 45 days?


21	Debbie runs 0.6 of a mile every day. How many miles will Debbie run in 45 days?

Question 22

Key


22.	Suppose 4r = 3s = 10t, where r, s, and t are positive integers. What is the sum of the least values of r, s, and t for which this equality is true?

	A)	7
	B)	17
	C)	41
	D)	82
	E)	120

Question 23

Scoring Guide

Score & Description

Correct

Correct answer for Video Store A and Video Store B.

Store Total Cost

A 82.05

B 84.00

	Incorrect #3
	Correct answer for Video Store B, incorrect answer for Video Store A.

	Incorrect #2
	Correct answer for Video Store A, incorrect answer for Video Store B.

	Incorrect #1
	Any incorrect response other than those described in Incorrect #2, Incorrect #3.

*The use of more than one incorrect category in this question enabled NAEP to gather data on common student errors. Any response that fell into one of the incorrect categories earned no credit.

Correct - Student Response

23	The Peterson family rents 30 videotapes yearly, of which 23 are rented for one night only and 7 are rented over a period of two nights. Given the rental fee structures shown above, fill in the chart below with the total yearly cost for the Petersons at each store. (Note: The 30 tapes include the free tapes earned.)


23	The Peterson family rents 30 videotapes yearly, of which 23 are rented for one night only and 7 are rented over a period of two nights. Given the rental fee structures shown above, fill in the chart below with the total yearly cost for the Petersons at each store. (Note: The 30 tapes include the free tapes earned.)

Incorrect #3 - Student Response

23	The Peterson family rents 30 videotapes yearly, of which 23 are rented for one night only and 7 are rented over a period of two nights. Given the rental fee structures shown above, fill in the chart below with the total yearly cost for the Petersons at each store. (Note: The 30 tapes include the free tapes earned.)


23	The Peterson family rents 30 videotapes yearly, of which 23 are rented for one night only and 7 are rented over a period of two nights. Given the rental fee structures shown above, fill in the chart below with the total yearly cost for the Petersons at each store. (Note: The 30 tapes include the free tapes earned.)

Incorrect #2 - Student Response

23	The Peterson family rents 30 videotapes yearly, of which 23 are rented for one night only and 7 are rented over a period of two nights. Given the rental fee structures shown above, fill in the chart below with the total yearly cost for the Petersons at each store. (Note: The 30 tapes include the free tapes earned.)


23	The Peterson family rents 30 videotapes yearly, of which 23 are rented for one night only and 7 are rented over a period of two nights. Given the rental fee structures shown above, fill in the chart below with the total yearly cost for the Petersons at each store. (Note: The 30 tapes include the free tapes earned.)

Incorrect #1 - Student Response

23	The Peterson family rents 30 videotapes yearly, of which 23 are rented for one night only and 7 are rented over a period of two nights. Given the rental fee structures shown above, fill in the chart below with the total yearly cost for the Petersons at each store. (Note: The 30 tapes include the free tapes earned.)


23	The Peterson family rents 30 videotapes yearly, of which 23 are rented for one night only and 7 are rented over a period of two nights. Given the rental fee structures shown above, fill in the chart below with the total yearly cost for the Petersons at each store. (Note: The 30 tapes include the free tapes earned.)

Question 24

Key


24.	If the pattern in the list above continues, what will be the next number after 56?

	A)	54
	B)	63
	C)	64
	D)	65
	E)	67

Question 25

Key


25.	What is the difference between the smallest positive 3-digit number and the largest positive 2-digit number?

	A)	1
	B)	9
	C)	10
	D)	90
	E)	900

Question 26

Key


26.	Ken bought a used car for $5,375. He had to pay an additional 15 percent of the purchase price to cover both sales tax and extra fees. Of the following, which is closest to the total amount Ken paid?

	A)	$806
	B)	$5,510
	C)	$5,760
	D)	$5,940
	E)	$6,180

Question 27

Key


27.	Which of the following is both a multiple of 3 and a multiple of 7?

	A)	7,007
	B)	8,192
	C)	21,567
	D)	22,287
	E)	40,040

Question 28

Scoring Guide

Score & Description

	Correct #1
	Tracy, with correct reason given. Examples of correct reasons: If you multiply by a number smaller than 1, the result is less than 6. 6 × 0 = 0 6 × ½ = 3 6 &times -1 = -6

	Correct #2
	No name stated, but reason given is correct.

	Incorrect #2
	Tracy, with no reason or an incorrect reason.

Incorrect #1

Any incorrect response that states that Pat is correct

No name stated and reason given is incorrect.

*The use of more than one correct category in this question enabled NAEP to gather data on different ways students responded correctly to this question. Any one of these responses that fell into one of these correct categories earned full credit.

*The use of more than one incorrect category in this question enabled NAEP to gather data on common student errors. Any response that fell into one of the incorrect categories earned no credit.

Correct #1 - Student Response

28	Tracy said, "I can multiply 6 by another number and get an answer that is smaller than 6." Pat said, "No, you can't. Multiplying 6 by another number always makes the answer 6 or larger." Who is correct? Give a reason for your answer.

Correct #2 - Student Response

28	Tracy said, "I can multiply 6 by another number and get an answer that is smaller than 6." Pat said, "No, you can't. Multiplying 6 by another number always makes the answer 6 or larger." Who is correct? Give a reason for your answer.

Incorrect #2 - Student Response

28	Tracy said, "I can multiply 6 by another number and get an answer that is smaller than 6." Pat said, "No, you can't. Multiplying 6 by another number always makes the answer 6 or larger." Who is correct? Give a reason for your answer.


28	Tracy said, "I can multiply 6 by another number and get an answer that is smaller than 6." Pat said, "No, you can't. Multiplying 6 by another number always makes the answer 6 or larger." Who is correct? Give a reason for your answer.

Incorrect #1 - Student Response

28	Tracy said, "I can multiply 6 by another number and get an answer that is smaller than 6." Pat said, "No, you can't. Multiplying 6 by another number always makes the answer 6 or larger." Who is correct? Give a reason for your answer.

Question 29

Scoring Guide

Score & Description

	Correct #1
	4

	Correct #2
	4 with incorrect units, e.g., "4 pages."

	Incorrect #3
	3.5 to 3.6 or "about 4."

	Incorrect #2
	3

	Incorrect #1
	Any incorrect response other than those described in 2 and 3.

*The use of more than one incorrect category in this question enabled NAEP to gather data on common student errors. Any response that fell into one of the incorrect categories earned no credit.

Correct #1 - Student Response

29	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?


29	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?

Correct #2 - Student Response

29	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?


29	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?

Incorrect #3 - Student Response

29	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?


29	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?

Incorrect #2 - Student Response

29	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?


29	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?

Incorrect #1 - Student Response

29	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?


29	Raymond must buy enough paper to print 28 copies of a report that contains 64 sheets of paper. Paper is only available in packages of 500 sheets. How many whole packages of paper will he need to buy to do the printing?

Question 30

Scoring Guide

Score & Description

	Correct
	8 or Eight

	Incorrect
	Any incorrect response.

Correct - Student Response

30	Rulers cost $0.85 each, including tax. How many rulers can Tom buy if he has $7.00?


30	Rulers cost $0.85 each, including tax. How many rulers can Tom buy if he has $7.00?

Incorrect - Student Response

30	Rulers cost $0.85 each, including tax. How many rulers can Tom buy if he has $7.00?


30	Rulers cost $0.85 each, including tax. How many rulers can Tom buy if he has $7.00?

Question 31

Scoring Guide

Score & Description

	Correct
	Dot placed anywhere in the interval from 5/3 to 2, but not on 5/3 or 2.

	Incorrect #3
	Places dot at either 4/3 or 5/3

	Incorrect #2
	Dot placed between 1 and 4/3

	Incorrect #1
	Any incorrect response other than those described in Incorrect #2, Incorrect #3.

*The use of more than one incorrect category in this question enabled NAEP to gather data on common student errors. Any response that fell into one of the incorrect categories earned no credit.

Correct - Student Response

31	On the number line below, place a dot at the point that could represent 1.75.


31	On the number line below, place a dot at the point that could represent 1.75.

Incorrect #3 - Student Response

31	On the number line below, place a dot at the point that could represent 1.75.


31	On the number line below, place a dot at the point that could represent 1.75.

Incorrect #2 - Student Response

31	On the number line below, place a dot at the point that could represent 1.75.


31	On the number line below, place a dot at the point that could represent 1.75.

Incorrect #1 - Student Response

31	On the number line below, place a dot at the point that could represent 1.75.

Question 32

Key


32.	In a group of 1,200 adults, there are 300 vegetarians. What is the ratio of nonvegetarians to vegetarians in the group?

	A)	1 to 3
	B)	1 to 4
	C)	3 to 1
	D)	4 to 1
	E)	4 to 3

Question 33

Key

33.

If	2	=	n	, then n =
	25		500

Question 34

Key


34.	Which of the following figures best illustrates the statement 5 × (6 + 2) = (5 × 6) + (5 × 2)?

	A)
	B)
	C)
	D)
	E)

Question 35

Key


35.	The least common multiple of 8, 12, and a third number is 120. Which of the following could be the third number?

	A)	15
	B)	16
	C)	24
	D)	32
	E)	48

Question 36

Key


36.	What is 2/3 of 15 marbles?

	A)	10 marbles
	B)	9 marbles
	C)	8 marbles
	D)	5 marbles

Question 37

Key


37.	In the division problem above, what number does represent?

	A)	116
	B)	120
	C)	124
	D)	160
	E)	480

Question 38

Key


38.	The figure above shows the display on a scientific calculator. The value of the displayed number is between which of the following pairs of numbers?

	A)	0.04 and 0.05
	B)	0.4 and 0.5
	C)	4.0 and 5.0
	D)	40.0 and 50.0
	E)	400.0 and 500.0

Question 39

Key


39.	Pencils sell individually for $0.07 each or in packs of 12 for $0.79 per pack. How much is saved when 24 pencils are purchased by the pack instead of individually?

	A)	$0.01
	B)	$0.05
	C)	$0.10
	D)	$0.72
	E)	$1.44

Question 40

Key


40.	What percent of 175 is 7 ?

	A)	4%
	B)	12.25%
	C)	25%
	D)	40%

Question 41

Key


41.	The postal rate is 25 cents for the first ounce and 20 cents for each additional ounce or part of an ounce. What would it cost to mail a package that weighs 6.8 ounces?

	A)	$1.25
	B)	$1.40
	C)	$1.45
	D)	$1.70
	E)	$1.75

Question 42

Key


42.	A savings account earns 1 percent interest per month on the sum of the initial amount deposited plus any accumulated interest. If a savings account is opened with an initial deposit of $1,000 and no other deposits or withdrawals are made, what will be the amount in this account at the end of 6 months?

	A)	$1,060.00
	B)	$1,061.52
	C)	$1,072.14
	D)	$1,600.00
	E)	$6,000.00