New England Common Assessment Program

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1 New England Common Assessment Program Released Items Grade 7 Mathematics

2 Mathematics Items with this symbol were selected from Session One no calculators or other mathematics tools allowed D Common, CMN q Which car had the greatest number of miles driven per gallon used? A. miles driven gallons used D Common, CMN w The value of is greater than. The value of is greater than and less than. Which expression has the greatest value? A. B. C. D. B. 7 miles driven gallons used C. D. 6 miles driven 6 gallons used 9 miles driven gallons used 697. A Common, CMN e Renee uses vinegar and water to make a cleaning mixture. The amount of vinegar in the mixture is the amount of water. Renee put cups of water in a bucket. How much vinegar should she add to the water? A. cups B. cups C. cups D. cups

3 69. B Common, CMN r A car dealer has 7 cars, trucks, and minivans in stock. What percent of the vehicles in stock are minivans? A. % B. % C. % D. %. D Common, CMN t A supermarket charges $ per pound for grapes and $ per pound for cherries. Gretchen buys some grapes and some cherries. She buys ounces of grapes. She buys ounces of cherries. What is the total cost of the grapes and the cherries Gretchen buys? [ pound = 6 ounces] A. $ B. $ 6 C. $ D. $ 7. B Common, CMN y This table shows the relationship between the fee to park in a garage and the amount of time parked in the garage. Parking Fees Time Up to hour Up to hours Up to hours Up to hours Fee (in dollars)..7.. The pattern continues. What is the fee to park in the garage for up to hours? A. $. B. $. C. $. D. $.. C Common, CMN u Jessica had x dollars. She bought movie tickets for $ each. Which expression represents the amount, in dollars, that Jessica has left? A. ( x) B. (x ) C. x () D. x

4 6. C Common, CMN i Gabriel is hiking up a mountain with friends. Their distance, d, in miles from the summit, is represented by the equation d =.6.t, where t is time in hours. Gabriel and his friends have been hiking for. hours. How many miles are they from the summit? A.. B.. C..6 D.. 7. A Common, CMN o Chet exercised for minutes. Sal exercised for minutes less than Chet exercised. Which equation cannot be used to find t, the time in minutes Sal exercised? A. = + t B. t + = C. = t D. t = 9. 6 B Common, CMN a This graph shows the number of minutes Arthur used a computer each week over the past weeks. Number of Minutes Arthur s Computer Use 6 7 Week What is the range of the number of minutes Arthur used the computer? A. minutes B. minutes C. minutes D. minutes

5 69. Common, CMN s Write a number that could go in the box to make this statement true. < <7% Common, CMN d This stem-and-leaf plot shows the price of each of the textbooks used at Jefferson Middle School. Textbook Prices Key represents $ What is the median price, in dollars, of the textbooks?

6 Common, CMN f Look at this graph. y x a. What is the value of y when x =? b. Use words or symbols to write a rule for the pattern shown by the graph Common, CMN g Nelly recorded the distance she ran for each of the days in July. She used the data from all days to calculate the information shown in this table. Minimum distance Maximum distance Mean distance Median distance Mode of distances. mile. miles. miles. miles. miles What is the total number of miles that Nelly ran during the month of July? Show your work or explain how you know.

7 . Common, CMN h Seth uses rectangular shoe boxes like the one shown below for storing his baseball cards. in. in. 6 in. a. What is the area, in square inches, of the bottom of this shoe box? b. What is the volume, in cubic inches, of this shoe box? c. A second box has the same volume, but it has a height of only inches. What could be the length and width, in inches, of the second box? Show your work or explain how you know. 6

8 New England Common Assessment Program Mathematics Reference Sheet Grade 7 Use the information below as needed to answer questions on the mathematics test. Rectangle l Area = lw Trapezoid b w Rectangular Prism h B Volume = area of the base height = Bh Parallelogram h b Area = h(b +b ) b h Area = bh Circle r circumference = πr Triangle h π. b Area = bh Mean: The mean of a data set is the sum of all the values divided by the number of values. Median: The median of a data set is the middle value or average of the two middle values when the values are arranged in numerical order. Mode: The mode of a data set is the value that occurs most often. 7

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