STUDENT NAME DATE ID BENCHMARK. Grade 8. Math

Transcription

1 STUDENT NAME DATE ID TEACHER NAME CLASSROOM PERIOD BENCHMARK Grade Math Students, This test will measure our progress in the material ou have covered in our class and readiness for upcoming material. The information we get from the test results helps determine which subject matter we must focus on to improve our performance. Please tr our best! Curriculum & Instruction Department Administered March 00 San Antonio Independent School District TAKS Release Test 009 Teas Education Agenc

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3 Teas Assessment of Knowledge and Skills Grade Mathematics Chart Centimeters LENGTH Metric Customar kilometer = 000 meters mile = 760 ards meter = 00 centimeters mile = 0 feet centimeter = 0 millimeters ard = feet foot = inches CAPACITY AND VOLUME Metric Customar liter = 000 milliliters gallon = quarts gallon = fluid ounces quart = pints pint = cups cup = fluid ounces MASS AND WEIGHT Metric Customar kilogram = 000 grams ton = 000 pounds gram = 000 milligrams pound = 6 ounces TIME ear = 6 das ear = months ear = weeks week = 7 das da = hours hour = 60 minutes minute = 60 seconds Inches 0 6 Continued on the net side

4 Grade 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 pramid (lateral) S = Pl pramid (total) S = Pl + B clinder (lateral) S = πrh clinder (total) S = πrh +πr or S =πr(h + r) Volume prism V = Bh clinder V = Bh pramid cone V = V = Bh Bh sphere V = πr Pi π π. or π 7 Pthagorean Theorem a + b = c Simple Interest Formula I = prt

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

6 The graph below shows the results of a surve about the animal that people prefer as a pet. Surve Results Number of People Dog Cat Fish Horse Bird Pet According to this graph, which statement is true? A B C D Twice as man people prefer dogs to fish. Most people do not prefer horses as pets because the are too big to care for. Man people prefer fish as pets because the are eas to care for. Five more people prefer cats to birds. Tomás will earn $ for each mile he walks in a charit walkathon. Tomás walks between and miles during the walkathon. Which of the following is a possible amount he will earn for the charit? F $0 G $ H $60 J $900 Marta is twice as old as Jamie, and Angie is one-fourth the age of Kell. Kell is ears older than Marta. Jamie is 0 ears old. Who is the oungest? A B C D Marta Jamie Angie Kell Page

7 Figure STUVW will be translated units left and 7 units up to form figure S T U V W. S W V 6 U 7 9 T Which ordered pair best represents point W? F (, 6) G (, ) H ( 7, 6) J (, ) A mistake was made in simplifing the epression below. Page Simplif: + (6 + ) Step : + (0) Step : 7(0) Step : 70 Step : 70 Step : 6 In which step did the mistake first appear? A Step B Step C Step D Step 6 A truck driver travels at an average speed of miles per hour. Which equation can be used to find d, the distance the truck driver will travel in hours? F d = G d = H d = J d = +

8 7 Trapezoid JKLM is similar to trapezoid WXYZ. W X J K 0 in. in. M 6 in. L Z Y What is the length of YZ? A 6 in. B in. C 0 in. D in. Page

9 The table below shows the value of the first five terms in a sequence. Position n Value of Term 7? 9 A store manager collects data showing the number of times each brand of soap is purchased in his store. Which measure of data shows which brand he sells most? A B C D Range Mean Mode Median Which epression can be used to find the value of the nth term? F n G H J 6n n n Page

10 0 The following figures are in Set R. The following figures are not in Set R. Which of the following figures belongs in Set R? F H G J Page 6

11 The scale drawing below shows a door. Use the ruler on the Mathematics Chart to measure the dimensions of this door to the nearest inch. Scale inch = foot Which of the following dimensions are closest to those of the actual door? A feet wide and 6 feet high B feet wide and 7 feet high C feet wide and 6 feet high D feet wide and 7 feet high Which of the following numbers is greater than.07? F.0 G.90 H.06 J.6 Page 7

12 The table below shows monthl water rates for using g gallons of water. Monthl Water Rates Water Used (gallons) First,000,00 to,000,00 to,000 More than,000 Total Cost (dollars) (g,000) (g,000) (g,000) What is the total cost for a business that uses 0,000 gallons in one month? A $7.00 B $9.0 C $7.00 D $9.0 The probabilit of getting a red gumball from a gumball machine is. The probabilit of getting a red piece of cand from a cand machine is. If both a gumball and a piece of 6 cand are purchased, what is the probabilit that both are red? F Gabb can assemble 7 music books in minutes. At this rate, how man music books can she assemble in hours? A B 0 C 69 D 0 G H J 7 7 Page

13 6 Parallelogram KLMN has vertices K ( 7, 7), L (, ), M (, 6), and N (, ). 7 Jasmine is building birdhouses. It takes her hours to build birdhouses. Which of the following is an equivalent rate? L M A B C D hours to build birdhouses hours to build birdhouses 7 hours to build birdhouses hours to build birdhouses N K Which of the following are coordinates of a point inside parallelogram KLMN? F (, ) G (, ) H (, ) J (, ) Page 9

14 Tuan made the scatterplot below to show the relationship between his tping accurac and his tping speed. p Tuan s Tping Accurac (percent) Speed (words per minute) s Which statement best describes the relationship shown in this scatterplot? F G H J There is no relationship between Tuan s tping speed and his tping accurac. As Tuan s tping speed increased, his accurac remained constant. As Tuan s tping speed increased, his accurac increased. As Tuan s tping speed increased, his accurac decreased. 9 Marcos bus folders that cost $0.7 each and 6 pens that cost $. each. What is the total cost in dollars and cents of the folders and pens, not including ta? Record our answer and fill in the bubbles on our answer grid below. Be sure to use the correct place value.. Page 0

15 0 The drawings below show the top, front, and right-side views of a -dimensional figure built using identical cubes. Top view Front view Right-side view Which -dimensional figure do these views best represent? F H Front Front G J Front Front Page

16 A clindrical glass vase is 6 inches in diameter and inches high. There are inches of sand in the vase, as shown below. A human red blood cell is about meter in diameter. Which of the following represents this number in scientific notation? F G H J in. in. 6 in. Which of the following is closest to the volume of the sand in the vase? A in. B in. C in. D 9 in. Page

17 The graph of the equation = is shown below Which table of values best represents ordered pairs on the graphed equation? A 0 C 0 B D 0 Page

18 Tai sailed east from the marina for miles and then sailed south for miles, as shown in the diagram. Marina mi mi What is the shortest distance Tai can sail to return to the marina? F G H J 6 mi mi 0 mi mi In Jul 00 the United States imported approimatel 0. million barrels of oil per da. Canada supplied about 6% of the imported oil. Which of these is closest to the number of barrels of oil the United States imported from Canada each da? A B C D.7 million.6 million. million 0. million Page

19 6 A set of tiles is shown below. 7 0,000 Which statement best describes the relationship between the numerators and denominators of these fractions? F G H J The denominator is the square of the numerator. The denominator is twice the numerator. The denominator is the cube of the numerator. The denominator is three times the numerator. Page

20 7 As part of a science eperiment, four students each planted some flower seeds. After one week the students compared the number of seeds that germinated with the number of seeds planted. Their results are shown in the table below. Science Eperiment Student Nadia Eduardo Kim Jordan Result % Which list shows the results in order from least to greatest? A 60%,, 0.7, B 60%, 0.7,, C, 0.7,, 60% D,, 60%, 0.7 Which statement best describes the change in the perimeter of a triangle if all its side lengths are multiplied b? F G H J The new perimeter will be times as large as the perimeter of the original triangle. The new perimeter will be 6 times as large as the perimeter of the original triangle. The new perimeter will be times as large as the perimeter of the original triangle. The new perimeter will be times as large as the perimeter of the original triangle. Page 6

21 9 If AB = 9, the length of AB is 0 B 0 The epression shown below describes a sequence of numbers. n + If n represents the position of a number in this sequence, which sequence of numbers does this epression describe? F,,,, 7,... G, 7, 9,,,... H,,,,,,... J,,,,,... A A B C D between units and units between units and 90 units between units and 9 units between 9 units and 0 units Jodie wants to bu a shirt regularl priced at $0. The shirt is on sale for % off the regular price. Which equation can be used to determine s, the sale price of the shirt, not including ta? A s = 0 (0)(0.) B s = 0 (0 + 0.) C s = 0(0.) D s = Page 7

22 The right triangle shown below is formed b joining three squares at their vertices. 7 cm cm What is the value of, the side length of the smallest square? F G H J 6 cm cm cm cm Page

23 Mr. Rena spent the afternoon bird-watching at the coast. The table below shows the number of each tpe of bird he saw. Coastal Birds Bird Tpe Great blue heron Roseate spoonbill Brown pelican Herring gull Number of Birds 0 0 Based on the information in the table, which of these is NOT a valid conclusion? A B C D Mr. Rena saw twice as man roseate spoonbills as brown pelicans. Of the birds Mr. Rena saw, % were great blue herons. Mr. Rena saw 0 times as man brown pelicans as great blue herons. More than half the birds Mr. Rena saw were herring gulls. Mrs. Jackson bought pounds of potatoes for $.9. Which of the following represents the same price per pound? F 0 pounds of potatoes for $.70 G pounds of potatoes for $. H pounds of potatoes for $. J 0 pounds of potatoes for $9.60 The cost of renting video games at two different video stores is listed below. Best Videos: $ per video game plus a $0 membership fee Qualit Videos: $ per video game and no membership fee For what number of video games is the cost of renting from either store the same? A 0 B C 6 D Page 9

24 6 There were 00 students who voted for a class color. The results are shown in the graph below. Votes for Class Color Gold 0% Silver % Black % Red 0% Based on the information in the graph, which table represents the actual number of votes for each color? Votes for Class Color Votes for Class Color Color Number of Votes Color Number of Votes F Silver H Silver 0 Red 0 Red 0 Black Black 60 Gold 0 Gold 0 Votes for Class Color Votes for Class Color Color Number of Votes Color Number of Votes G Silver 90 J Silver 0 Red 7 Red 0 Black 6 Black 70 Gold 7 Gold 0 Page 0

25 7 Alssa rakes leaves for her neighbors. She charges $.00 per hour to rake leaves plus $7.00 to remove the leaves. She uses the equation below to calculate t, her total earnings based on h, the number of hours she works. t = 7 + h How much will Alssa earn if she works for hours minutes? A $.00 B $.6 C $0.00 D $.7 Mr. Renolds wants to determine the number of bags of fertilizer he should bu in order to completel cover his ard. Which of the following methods can he use to find the number of bags of fertilizer he needs? F G H J Multipl the area of the ard b the area each bag of fertilizer can cover Divide the area of the ard b the area each bag of fertilizer can cover Multipl the area of the ard b the cost of each bag of fertilizer Divide the area of the ard b the weight of each bag of fertilizer Page

26 9 With the origin as the center of dilation, rectangle PQRS will be dilated b a scale factor of to form rectangle P Q R S. P S Q R What will be the length of P S? A B C D units units 7 units units 0 Four people plan to drive an equal amount of time during a 6-hour car trip. The first driver accidentall drives % longer than he should have. If the other three people evenl divide the remaining driving time, how long will each of the three people drive? The cars in a parade are passing Marisol at a rate of cars per minute. If it takes minutes for all the cars to pass b Marisol, which equation can she use to determine c, the number of cars in the parade? F G H J.6 hours. hours hours hours A c = 60 B c = ( ) C c = ( ) 60 D c = () Page

27 Which equation best represents the relationship between and in the table below? A cube is shown below F = G = 6 H = 6 J = What is the total surface area of this cube? F 9 ft ft G 0 ft H ft J 0 ft Tim recorded that 7 out of 6 customers used a shopping cart at a grocer store. Based on these results, about how man customers out of 0 can be epected to use a shopping cart? A 0 B 60 C 90 D 0 Page

28 The vertices of triangle XYZ are X ( 7, ), Y (, 6), and Z (, ). 9 Y 7 6 X Z If triangle XYZ is reflected across the -ais, which graph best represents triangle X Y Z? A X' Z' C X' Z' Y' Y' B Y' Z' X' D Y' Z' X' Page

29 6 One Saturda Hale asked all the people leaving a jogging trail whether the run on a regular basis. Of the 7 people she asked, 7 said es. Hale concluded that nearl all the people in her cit run on a regular basis. What is the best eplanation of wh her conclusion might NOT be valid? The graph below shows the stopping distance for a certain car, depending on the speed of the car when the brakes were applied. Stopping Distance F G H J The sample size was not large enough. Hale should have randoml selected people leaving the jogging trail. Hale did not ask how long each person ran. The sample ma not have been representative of all the people in the cit. Distance (feet) Speed (miles per hour) If the car needed 0 feet to stop, approimatel how fast was the car traveling? 7 Louise wants to bu some socks. The packages of socks she could bu are listed below. pairs of socks for $.6 6 pairs of socks for $.00 Louise concludes that the package containing 6 pairs of socks is a better price. Which statement best describes her conclusion? F G H J Between 0 and 0 miles per hour Between 0 and 60 miles per hour Between 60 and 70 miles per hour Between 70 and 0 miles per hour A B C D Louise is correct because the package of 6 pairs costs eactl $0.6 less per pair. Louise is incorrect because the package of pairs costs eactl $0.6 less per pair. Louise is correct because the package of 6 pairs costs eactl $0.0 less per pair. Louise is incorrect because the package of pairs costs eactl $0.0 less per pair. Page

30 9 A cookie recipe requires pounds of butter to make dozen cookies. If a baker wants to make onl dozen cookies, which proportion can he use to find b, the number of pounds of butter he needs? A = b 0 Frank plans to make a displa b stacking cans. The top rows are shown below. SOUP B = b SOUP SOUP C = D b = b SOUP SOUP SOUP The displa will be a total of 7 rows high. How man cans in all will Frank need to make the displa? F 9 G H 7 J Page 6

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