INTERIM ASSESSMENT. Grade 8 Mathematics. Administered December 2010 STUDENT NAME DATE ID. San Antonio Independent School District

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1 STUDENT NAME DATE ID TEACHER NAME CLASSROOM PERIOD INTERIM ASSESSMENT Grade 8 Mathematics Administered December 00 San Antonio Independent School District This assessment reflects TEKS taught in the first semester of 00-. TAKS Release Items, Tests, Study Guides 00-0 Texas Education Agency

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3 Texas Assessment of Knowledge and Skills Grade 8 Mathematics Chart LENGTH Metric Customary kilometer = 000 meters mile = 760 yards meter = 00 centimeters mile = 580 feet centimeter = 0 millimeters yard = feet foot = inches CAPACITY AND VOLUME Metric Customary liter = 000 milliliters gallon = quarts gallon = 8 fluid ounces quart = pints pint = cups cup = 8 fluid ounces MASS AND WEIGHT Metric Customary kilogram = 000 grams ton = 000 pounds gram = 000 milligrams pound = 6 ounces TIME year = 65 days year = months year = 5 weeks week = 7 days day = hours hour = 60 minutes minute = 60 seconds Inches Continued on the next side 08 Math IA December 0

4 Grade 8 Mathematics Chart Perimeter square P = s rectangle P = l + w or P = (l + w) Circumference circle C = πr or C = πd Area square A = s rectangle A = lw or A = bh triangle A = bh or A = trapezoid A = (b + b )h or A = circle A = πr P represents the Perimeter of the Base of a three-dimensional figure. B represents the Area of the Base of a three-dimensional figure. Surface Area cube (total) S = 6s bh (b + b )h prism (lateral) S = Ph prism (total) S = Ph +B pyramid (lateral) S = Pl pyramid (total) S = Pl + B cylinder (lateral) S = πrh cylinder (total) S = πrh +πr or S =πr(h + r) Volume prism V = Bh cylinder V = Bh pyramid cone V = V = Bh Bh sphere V = πr Pi π π. or π 7 Pythagorean Theorem a + b = c Simple Interest Formula I = prt 08 Math IA December 0

5 DIRECTIONS Read each question. Then fill in the correct answer on your answer document. If a correct answer is not here, mark the letter for Not here. SAMPLE A Find the greatest common factor of and 8. A B 6 C 9 D Not here SAMPLE B Find the perimeter of this square rug in meters.. m Record your answer and fill in the bubbles on the answer grid below. Be sure to use the correct place value Math IA December 0

6 In the 00 Olympic Games in Athens, approximately 8% of the medals the United States won were bronze, 0.8 were silver, and were gold. Which list shows these values in order from greatest to least? A 0.8, 8%, Chris bought 6 packages of gum for a total of $.50. At this rate, which equation can he use to find c, the total cost of packages of gum? A B C D c = (.50)().50 c = ( )() 6 c =.50+ c =.50 6 B C D, 0.8, 8% 0.8,, 8%, 8%, 0.8 John and Jane ate lunch at a local restaurant and wanted to divide the bill evenly. The bill for the food was $8.70, plus sodas for $0.75 each, including tax. How much change should John receive if he pays for his half with a $0 bill? F $5.0 G $9.80 H $0.0 J $.90 Jennifer s truck can travel 50 miles on 5 gallons of gas. At this rate, how many miles can Jennifer s truck travel on 9 gallons of gas? F 00 mi G 50 mi H 0 mi J 00 mi 08 Math IA December 0 Page

7 5 Which table best represents the equation shown below? A B x y x y y = x Mr. Gann asked Patsy to solve the equation shown below. 9x + 6 = Which of the following could Patsy choose as a reasonable first step in solving this equation? A 9x = B 9x + 6 = 6 C 9x + 6 = + 6 D 9x = 6 C x y D x y Mr. Devereaux plans to purchase a new home entertainment center on a financing plan. He must make an initial down payment that is a portion of the total cost. The table below shows the down payments that four different stores require. Store Down Payment 6 Some dragonflies can eat as much as 60% of their own weight in a single meal. The equation f = 0.60w can be used to find f, the amount of food equivalent to 60% of w, the weight of the dragonfly. If a 0-pound tiger ate at this rate, how much food would it eat in a single meal? F 7 lb G 80 lb H 8 lb J 60 lb Home Audio 5% Music and More Sound Savings 5 8 Discount Center 8% If the entertainment center costs the same at each store, which store requires the smallest down payment? F Home Audio G Music and More H Sound Savings J Discount Center 08 Math IA December 0 Page

8 9 The Johnson s are thinking of building a bridge across their pond from point X to point Z, as shown in the figure below. X yd Y Pond 6 yd Z Which is closest to the distance from point X to point Z? A 00 yards B 50 yards C 5 yards D 0 yards 0 Gloria, Peyton, Ryan, and Santos each grew a crystal for a school project. They measured and recorded the heights of their crystal in millimeters, as shown below. Student Height (mm) Start Day Day Day 6 Gloria 0 6 Peyton 0 6 Ryan 0 8 Santos 0 Which student s crystal grew proportionally over time? F Gloria G Peyton H Ryan J Santos 08 Math IA December 0 Page

9 A side of Ari s aquarium is a square with an area of 90 square inches. The length of each side of the square is A between 9 and 0 inches B between 8 and 9 inches C between and inches D between and inches Lucy reads 50 words in minutes. Which equation can be used to find w, the number of words Lucy can read in 0 minutes if she continues to read at the same rate? 50 A w = (0) 50 B w = () 0 C w = 0(50) D 0 w = (50) Mr. Hines paid $8.0 for an international phone call. He paid a fee of $.5 plus $0.55 per minute. Which equation can be used to find x, the length of the call in minutes? F 0.55x +.5 = 8.0 G 0.55x.5 = 8.0 H.5x = 8.0 J.5x 0.55 = 8.0 A store s records showed that during a one-month period, gallons of milk were sold for every boxes of cereal sold. If,86 boxes of cereal were sold that month, how many gallons of milk were sold? F 8,59 gal G 5,78 gal H,96 gal J,909 gal 08 Math IA December 0 Page

10 5 Which of the following statements best describes the data in the table below? x y 5 9 A The value of y is more than the value of x. B The value of y is more than twice the value of x. C The value of y is times the value of x increased by. D The value of y is less than twice the value of x. 7 Dee correctly answered 8 out of 0 equally weighted questions on her English test and out of 5 equally weighted questions on her Spanish test. Choose the method that can be used to accurately determine the test on which she scored higher. A Compare the number of questions missed on each test B Convert the ratios to percents, and then compare them C Add 5 to 0 to make each test have 5 questions, and then compare the number of correct answers on both tests D Multiply 0 by the difference of and 8, multiply 5 by that same difference, and then compare the products 8 The net of a cylinder is shown below. 6 Caroline used the following formula to determine t, the sales tax on p, the dollar amount of a customer s total purchase at the candle shop where Caroline works. 8 in. 0 in. t = 0.085p A customer bought a box of red candles for $5 and scented candles for $0 each. Which is closest to the sales tax on the customer s purchase? F $5.95 G $.5 H $.65 J $.89 Which is closest to the lateral surface area of this cylinder? F G H J 55in. 5in. 00in. 80in. 08 Math IA December 0 Page 5

11 9 Which figure can be placed along the segment labeled x millimeters to make the model below a correct representation of the Pythagorean Theorem? 0 mm 0 mm x mm 6 mm 6 mm 8 mm A 8 mm 6 mm B 0 mm 6 mm C 6 mm D mm mm 08 Math IA December 0 Page 6

12 0 Joan has a garden in the shape of a trapezoid, as shown in the drawing below. 7 feet Grass feet Herbs Roses feet 0 feet feet Joan wants to fence the triangular portion of the garden where the herbs grow. How many feet of fence will she need? F 6 ft G ft H ft J 6 ft The Texas state flag is rectangular and has a width-to-length ratio of :. Which of the following can be used to find l, the length of a Texas state flag with a width of 8 inches? A 8 l B 8 l C 8 l D 8 l The area of a square is 8 square meters. Which of these is closest to the length of each side of the square? F 9. m G 9 m H 8.9 m J 8 m 08 Math IA December 0 Page 7

13 Mr. Loya stated that the circumference of Earth at the equator is,90. miles. Which expression represents this number in scientific notation? 5 Sean is planning a trip of,50 miles. He plans to drive between 50 and 00 miles each day. At this rate, which is a reasonable number of days it will take Sean to complete his trip? A B C D.90x0.90x0 9.0x0 5.90x0 A Less than days B Between and 6 days C Between 6 and 8 days D More than 8 days A water tank contains,500 gallons. A faucet attached to the tank releases water at a constant rate of 5 gallons per minute. If the faucet is left open for hour and no other water is released, which equation can be used to find r, the number of gallons of water remaining in the tank? F r,500 G r,500 H r,500 J r,500 6 A store sells potatoes in 5-pound bags for $.9. Which of the following bags of potatoes would be the same price per pound? F A 0-pound bag for $8.80 G A -pound bag for $.0 H A 0-pound bag for $.58 J A 7-pound bag for $.0 08 Math IA December 0 Page 8

14 7 Moffett s Candy Factory makes candy in the shape of cylinders. The net of a cylindrical piece of candy is shown below. cm.5 cm cm Which is closest to the total surface area of this piece of candy? A B C D cm 9cm cm 75cm 8 A ladder that is feet long leans against a building. The bottom of the ladder is 5 feet away from the base of the building. How far up the side of the building does the ladder reach? F 8 ft G 6 ft H ft J 8 ft 9 The Sundown Parking Garage charges $5.00 to park a car for the first hour and $0.75 for each additional hour or part of an hour after the first hour. What is the total charge for parking a car for hours minutes in this garage? A $5.75 B $6.50 C $7.5 D $ Math IA December 0 Page 9

15 0 Anthony helps his father with lawn-mowing service. His father charges from $5.00 to $50.00 per lawn depending on the size of the lawn to be mowed. Last Saturday, Anthony and his father spent 6 hours mowing lawns. If Anthony s father actually charged $5.00 for the smallest lawn and $50.00 for the largest lawn, about how much could Anthony s father have charged for all lawns? On Monday Mandy bought a CD for 0% off the regular price of $6.00, not including tax. The next day the CD that Mandy had bought was marked down to 65% off its regular price. How much more money would Mandy have saved, not including tax, if she had waited until Tuesday to buy the CD? F $.00 G $6.0 H $9.60 J $0.0 F $75 G $95 H $0 J $50 Mrs. Gonzáles wants to string lights along both diagonals of a rectangular window, as shown below. feet feet Nikki paid Dalton $5.50 for a combination of 5 baseball and football cards. The baseball cards were $.50 each, and the football cards were $0.50 each. How much did Nikki spend on the baseball cards? A $.50 B $.00 C $.00 D $0.50 What is the minimum length of lights Mrs. Gonzáles will need? A 5 ft B 7 ft C 0 ft D ft 08 Math IA December 0 Page 0

16 Mr. and Mrs. Lee brought their children, Cooper and Erin, to a museum. Only Mr. Lee received a discount on his ticket. The table below shows the admission prices at the museum. Museum Admission Adults $7.00 Children ages $5.00 Children under age $.00 Which person s admission price can be found without any other information? F Mrs. Lee G Mr. Lee H Cooper J Erin 5 A set of parentheses is missing from the expression below Which of the following expressions has the parentheses in the correct place for the expression to equal 5? A 5 (5 7 ) B (5 5 7) C 5 (5 7 ) D ( ) 08 Math IA December 0 Page

17 6 This Venn diagram is used to classify counting number according to a set of rules ? Which of the following numbers belongs in the region of the diagram marked by the question mark? F 5 G 50 H 60 J 65 7 Raymond packs boxes for an appliance company. He can pack a large box in 0 minutes and a small box in minutes. He needs to pack 0 large boxes and 0 small boxes. If.5 hours remain before closing time, will Raymond have time to finish the work before closing time if he works without stopping? A Yes, Raymond will finish the work in.8 hours. B No, it will take him hours to finish. C Yes, Raymond will finish the work in 0.5 hour. D No, it will take him hours to finish. 08 Math IA December 0 Page

18 8 Line segment d is a diagonal in each polygon shown below. Which drawing shows enough information to find the length of line segment d? 7 8 F 6 d H* 6 d 9 G 7 d J d 08EM0807CZ08 08 Math IA December 0 Page

19 9 Carlos, Jackie, Lester, and Margie ate lunch at a restaurant. The total amount of the bill, including tax and tip, was $.60. Carlos paid $5.00, Jackie paid of the bill. Lester paid 0% of the bill, and Margie paid the rest of the bill. Who paid the greatest part of the bill? 0 Fred pays the same amount of property tax each month. His total property tax for the year is $,55. What is his monthly tax payment in dollars and cents? Record your answer and fill in the bubbles on the answer grid below. Be sure to use the correct place value. A Carlos B Jackie C Lester D Margie 08 Math IA December 0 Page