

/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 10passenger 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  

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  
Did you use the calculator on this question? 

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? 

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  
Did you use the calculator on this question? 

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  
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  


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  
Did you use the calculator on this question? 

 
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  
Did you use the calculator on this question? 
25. 
What is the difference between the smallest positive 3digit number and the largest positive 2digit number?  
A)  1  
B)  9  
C)  10  
D)  90  
E)  900  
Did you use the calculator on this question? 
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  
Did you use the calculator on this question? 
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  
Did you use the calculator on this question? 



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  
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  
Did you use the calculator on this question? 
 
37. 
In the division problem above, what number does represent?  
A)  116  
B)  120  
C)  124  
D)  160  
E)  480  
Did you use the calculator on this question? 
 
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  
Did you use the calculator on this question? 
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  
Did you use the calculator on this question? 
40. 
What percent of 175 is 7 ?  
A)  4%  
B)  12.25%  
C)  25%  
D)  40%  
Did you use the calculator on this question? 
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  
Did you use the calculator on this question? 
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  
Did you use the calculator on this question? 

Scoring Guide 
Solution: Any number of ounces greater than 4 but less than or equal to 5. 4 < oz < 5 
Score & Description  
 
 

Correct  Student Response 
2 
What is a possible weight for a firstclass 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 firstclass 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 firstclass 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. 

Scoring Guide 
Solution: or equivalent 
Score & Description  
 

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? 




Scoring Guide 
Solution: where x = the length of the enlarged picture 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 4inch by 6inch picture. 
Score & Description  
 


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 

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  
 
 

* 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. 

Scoring Guide 
Solution: 
Score & Description  
 
 

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. 

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



Scoring Guide 
Score & Description  
 
 

*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: 

Scoring Guide 
Score & Description  
 
 

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? 
Scoring Guide 
Score & Description  
 

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? 

Scoring Guide 
Score & Description  
 
 
 

*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.) 




Scoring Guide 
Score & Description  
 
 
 

*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. 
Scoring Guide 
Score & Description  
 
 
 
 

*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 
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? 
Scoring Guide 
Score & Description  
 

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? 
Scoring Guide 
Score & Description  
 
 
 

*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. 







