The Pennsylvania System of School Assessment. Mathematics Item and Scoring Sampler SUPPLEMENT Grade 7

Transcription

1 The Pennsylvania System of School Assessment Mathematics Item and Scoring Sampler SUPPLEMENT Grade 7 Pennsylvania epartment of Education Bureau of Assessment and Accountability

2 MULTIPLE-CHOICE ITEMS Note: All percentages listed in the tables below the items have been rounded. A.... Between } 5 and } of the students in a class received an A on a history test. Which decimal is between } 5 and }? A 0.7 less than both fractions B 0.3 * C 0.6 thinks that /5 > / 0.3 thinks that /5 > / A.3.. uring an assessment, students would not be permitted to use a calculator on item An icicle was 8.3 centimeters (cm) long one morning, and 39.9 cm long that evening. Which is the closest estimate of the change in the length of the icicle from morning to evening? A 8 cm * B 9 cm dropped both decimal values: ; or rounded both up: % 67% 3% 8% C 0 cm rounded both to nearest 0: A.... A store sells bags of apples for $3.60. What is the unit cost per apple? A $0.30 * B $0.33 divided by 36 C $3.33 divided by 3.60, the bag price $3.60 confused unit cost with bag price cm dropped both decimal values and subtracted incorrectly: % 9% % 6% 8% 7% 0% % Grade 7 Mathematics Item Sampler Supplement

3 A.3... Adrienne had 0 cups of flour. She used 7 3 } cups of flour for a batch of bread and 3 } cups of flour for a 3 batch of cookies. How much flour did Adrienne have left after she baked the bread and cookies? A 8 } cups * B 9 cups C } cups 5 7 } cups 0 (8 3), (rounded fractions) 7-3/ 3-/3 (amount used) 0 7-3/ 3-/3 B... Note: In the actual test, conversion charts will be provided. 5. A bucket contains 6 quarts pint of paint. Ann pours 3 quarts pint of additional paint into the bucket. What is the total amount of paint in the bucket? A gallons quart forgot about pints B gallons quarts * C 3 gallons quart used 3 quarts per gallon gallons quart pint converted incorrectly % 5% 5% 0% 59% % % 5% Grade 7 Mathematics Item Sampler Supplement

4 B On a drawing of a house, the length of the living room is 3.5 inches. The scale of the drawing is inch : feet (ft). What is the actual length of the living room? A.3 ft divided by 3.5 B 7.5 ft added 3.5 and C 3.00 ft * C Abe made a straight cut through a circular rubber band and then laid the rubber band flat, as shown below. cut Which measure corresponds to the length of the cut rubber band??.77 ft used ft 5 8 inches and divided 8 by 3.5, then rounded up A chord distance from one point on the edge of a circle to another B circumference * % % 77% 5% C diameter distance from one point on the edge of a circle to another through the center radius distance from the edge of a circle to the center % 57% % 7% Grade 7 Mathematics Item Sampler Supplement

5 C Triangle RSW is similar to triangle RTV as shown below. R C.3.. Use the coordinate plane below to answer question 9. y W S V T Which angle corresponds to /RVT? A /RSW corresponds to /RTV B /WRS corresponds to /VRT J K L M 6 80 x C /RTV corresponds to /RSW /RWS * 5% 5% % 65% 9. Which point is located at (3, 7)? A point J (-7, 3) B point K (-3, 7) C point L * point M (7, 3) 3% % 86% 9% Grade 7 Mathematics Item Sampler Supplement

6 The total amount of water a plant absorbed during the first five days of an experiment is shown below. Plant Experiment.... enisha has $5 to buy seeds for her flower garden. The seeds cost $.5 per package. The equation below describes the number of seed packages (p) that enisha will buy. ay Total Amount of Water Absorbed uring Experiment.5p = 5 Which is the first step to find the value of p? cups cups A add.5 to both sides B divide both sides by.5 * C multiply both sides by cups subtract.5 from both sides 3 3 cups 5 cups The pattern continues. What is the total amount of water that the plant had absorbed by the end of the 6th day of the experiment? 7% 67% 8% 8% A 3 } cups added / instead of 3/ B 5 cups added / instead of 3/ C 5 } cups * 5 } cups added instead of 3/ 8% 0% 68% % Grade 7 Mathematics Item Sampler Supplement

7 ... Use the expression below to answer question. x xy + y. What is the value of the expression when x = 6 and y =? A in the first term incorrectly multiplied 6 ; completed the rest correctly B 5 * C 96 in the first term incorrectly multiplied 6 then squared 3; completed the rest correctly,988 squared 6 and multiplied by ; then worked left to right, disregarding order of operations 9% 7% % 5% Grade 7 Mathematics Item Sampler Supplement

8 The table below shows the coordinates of some points on a line. x y Which is a graph of the line represented by the coordinates in the table? A y B y x x mistakenly used origin and (, 3) only * C y y x x used origin and (3, ), the reversed x and y values reversed x and y values 7% 55% 6% % Grade 7 Mathematics Item Sampler Supplement

9 E.... The graph below shows the stock prices of companies from 9:00 A.M. to 3:00 P.M. on Monday. Price ($) Stock Prices Key Company A Company B. Time Based on the graph, at what time were the stock prices the same? A 9:00 A.M. first time shown on the graph B :00 P.M. greatest difference C :00 P.M. * 3:00 P.M. first time after graphs intersect 6% 3% 89% % Grade 7 Mathematics Item Sampler Supplement

10 E The prices of 0 different backpacks at a store are listed below. $8, $8, $8, $8, $8, $8, $8, $8, $50, $50 Which statistical measure provides the best information about the typical price of a backpack at the store? A mean B mode * C maximum range greater than price of typical backpack greater than price of typical backpack greater than price of typical backpack E The table below shows the number of different types of music Cs sold at a store last month. Type of Music C Sales Number of Cs Sold blues 0 classical 0 country 80 jazz 0 pop 360 rock 80 Based on the table, what is the experimental probability that one of these Cs chosen at random is a jazz C? 3% 6% % 8% A } 0 B C } 0 } 9 } 6 * 6% 58% 6% 9% Grade 7 Mathematics Item Sampler Supplement

11 OPEN-ENE ITEM.3 7. Karen s cell phone company charges a per-minute fee with no other monthly fees. The table below shows the number of minutes used and the amount charged for some of Karen s phone calls last month. Cell Phone Charges Length of Call (minutes) Total Cost of Call $0.8 $ $0.7 $0.8 3 $0.9 A. Explain how to find the cost of a 5-minute phone call. GO TO THE NEXT PAGE TO FINISH THE QUESTION. Grade 7 Mathematics Item Sampler Supplement

12 7. Continued. Please refer to the previous page for task explanation. B. What is the total cost of a 5-minute phone call? Show all your work. One month, Karen s total monthly cell phone bill was $8.56. C. What is the total number of minutes Karen used her cell phone? Show all your work. Score Point Score Point 3 Score Point Score Point Score Point 0 % 0% 9% 0% 7% Grade 7 Mathematics Item Sampler Supplement