STUDENT NAME DATE ID TAKS-M BENCHMARK. Grade 11 Math

Transcription

1 STUDENT NAME DATE ID TEACHER NAME CLASSROOM PERIOD TAKS-M BENCHMARK Grade Ma Students, This test will measure your progress in e material you have covered in your class and readiness for upcoming material. The information we get from e test results helps determine which subject matter we must focus on to improve your performance. Please try your best! Curriculum & Instruction Department Administered March 00 San Antonio Independent School District Teas Education Agency, 009

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3 Teas Assessment of Knowledge and Skills Grades 9, 0, and Eit Level Maematics Chart Centimeters LENGTH Metric Customary kilometer = 000 meters mile = 760 yards meter = 00 centimeters mile = 580 feet centimeter = 0 millimeters yard = 3 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 = 365 days year = mons year = 5 weeks week = 7 days day = hours hour = 60 minutes minute = 60 seconds Inches Page Continued on e net side Grade Ma Benchmark

4 Grades 9, 0, and Eit Level Maematics Chart Perimeter rectangle P = l + w or P = (l + w) Circumference circle C = πr or C = πd Area rectangle A = lw or A = bh triangle bh A = bh or A = trapezoid A = (b + b )h or A = regular polygon A = ap circle A = πr P represents e Perimeter of e Base of a ree-dimensional figure. B represents e Area of e Base of a ree-dimensional figure. (b + b )h Surface Area cube (total) S = 6s 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) cone (lateral) S = πrl cone (total) S = πrl + πr or S = πr(l + r) sphere S = πr Volume prism or cylinder V = Bh pyramid or cone V = Bh 3 Special Right Triangles sphere V = πr , 60, 90, 3, 5, 5, 90,, Pyagorean Theorem a + b = c Distance Formula d = ( ) + (y y ) Slope of a Line m = y y Midpoint Formula M = ( + y, + y ) Quadratic Formula Slope-Intercept Form of an Equation = b ± b ac a y = m + b Point-Slope Form of an Equation y y = m( ) Standard Form of an Equation Simple Interest Formula A + By = C I = prt TX Page Grade Ma Benchmark

5 DIRECTIONS Read each question. Then fill in e correct answer on your answer document. SAMPLE According to a paint label, gallon of paint will cover 00 square feet of wall space. How many gallons of paint are needed to cover 800 square feet of wall space? A B C 8 gal 7 gal gal Page 3 Grade Ma Benchmark

6 Look at e figure below. It shows a rectangular prism wi a rod passing rough it. If e rod is removed, which net best represents e rectangular prism? A C B Page Grade Ma Benchmark

7 The table below shows selected values of a functional relationship between and y. 0 y Which of e following equations best fits ese data? F y =.5 5 G y = H y = 7 Page 5 Grade Ma Benchmark

8 3 Eli is using a rectangular canvas for a school art project. The shaded triangles represent e sections Eli will paint. 6 cm cm 8 cm A = Area of a triangle = bh base height What is e total area of e sections at Eli will paint? A cm B 8 cm C cm Page 6 Grade Ma Benchmark

9 How does e graph of e equation y = 9 compare to e graph of e equation y = 9? F The graph of y = 9 is wider an e graph of y = 9. G The graph of y = 9 is narrower an e graph of y = 9. H The graph of y = 9 is a reflection of e graph of y = 9 across e -ais. Page 7 Grade Ma Benchmark

10 5 Triangle KPW is shown below. y K W P Which of ese coordinates represents point S so at KS is a median of triangle KPW? A (8, 7) B (, 3) C (, 0) Page 8 Grade Ma Benchmark

11 6 Which pair of 3-dimensional figures has e same number of vertices? F G H Page 9 Grade Ma Benchmark

12 7 The graph below shows e total charge for labor at a vehicle-repair shop. The total charge includes e basic service charge plus e amount charged for each hour of work done on a vehicle. y Vehicle-Repair Shop $0 $0 Total Charge $00 $80 $60 $0 $ Time (hours) Based on e graph, what is e amount charged for each hour of work done on a vehicle at is shop? A B C $5 per hour $0 per hour $0 per hour Page 0 Grade Ma Benchmark

13 8 The total cost to park in a parking garage can be epressed by e function c = (h ), where h represents e number of hours parked. Which is e best interpretation of is information? F G The charge for parking in e parking garage is $.00 for e first hour and $0.60 per hour for each additional hour. The charge for parking in e parking garage is $.60 plus e number of hours parked. H There is no charge for parking in e parking garage for e first hour, but each additional hour costs $0.60. Page Grade Ma Benchmark

14 9 Which graph best represents a line at has a slope of 7 and contains e 5 point ( 3, 8)? y y A C y B Page Grade Ma Benchmark

15 0 In ΔKPT shown below, KT = 9 centimeters and PT = 3 centimeters. K 9 cm P 3 cm T Which of ese could be e leng of segment KP? F G cm 3 cm H 7 cm Page 3 Grade Ma Benchmark

16 Raj purchased a spherical gumball container wi a stand, like e one shown below. The diameter of e container is 8 inches. 8 inches V = πr 3 3 Volume of a sphere = 3 π radius radius radius Which is closest to e volume of e container? A 68 in. 3 B 5 in. 3 C 0 in. 3 Page Grade Ma Benchmark

17 An electric company is installing poles and crossbars for electrical service in a neighborhood. A section of one unit is shown below. What is e value of? F 90 G 5 H 60 Page 5 Grade Ma Benchmark

18 3 A boat leaves a dock and travels 86 miles due nor and en 03 miles due east. 03 mi Boat 86 mi? Dock W N S E Pyagorean Theorem: a + b = c Which is closest to e straight-line distance of e boat from e dock? A B C 57 mi 3 mi 33 mi Page 6 Grade Ma Benchmark

19 Marcy loads CDs into her multidisc CD player. When e CD player is set to random mode, it plays song at random from e first CD and song at random from e second CD. Each CD contains songs. The first CD contains 6 songs at she likes. The second CD contains songs at she likes. What is e probability at e first songs played on e CD player when it is set to random mode will be songs at Marcy likes? F G 6 5 H Page 7 Grade Ma Benchmark

20 5 ΔPRK and ΔXYK are similar triangles. P X 0 in. R Y in. 3 in. K What is e leng of XY? A B C 7 inches 5 inches 38 inches 6 Which of ese best represents e solution set of 3 > 8? F G H Page 8 Grade Ma Benchmark

21 7 KM and KP are diameters of circle P and circle T, respectively. M P T K A = πr Area of a circle = π radius radius If MK = inches, which of e following is closest to e area of circle T? A 5 in. B 8 in. C 3 in. Page 9 Grade Ma Benchmark

22 8 Saundra drew ree different isosceles triangles PTQ. In each of e triangles, TP = TQ. T 36 P 7 Q P T 0 30 Q P T 50 5 Q Which equation best represents e relationship between e measures of angles T and Q in each of e triangles? F m Q = (m T) G m Q = (m T) H m Q = (m T) Page 0 Grade Ma Benchmark

23 9 Points K, L, and T are collinear. Point K has coordinates (, ), and point L has coordinates (, ). y Which ordered pair could represent point T? A (, 7) B (3, ) C (5, ) Page Grade Ma Benchmark

24 0 Look at e table below. Regular Polygons Number of Sides of a Regular Polygon n Measure of Each Eterior Angle ? Sum of e Measures of e Eterior Angles 3(0 ) (90 ) 5(7 ) 6(60 )? According to e table, which of e following statements is true? F The sum of e eterior angles of any regular polygon is 80. G The sum of e eterior angles of any regular polygon is 360. H The sum of e eterior angles of any regular polygon is 0n. Page Grade Ma Benchmark

25 Triangle RPT is shown below. R 30 P cm T Special Right Triangle 30, 60, 90, _ 3, Which measure is closest to e leng of RT? A B C 36 cm cm cm Page 3 Grade Ma Benchmark

26 Mr. Winters drove 90 miles in hours. At is rate, how long will it take Mr. Winters to drive 300 miles? F G 0 h 0 h H 65 h Page Grade Ma Benchmark

27 3 Mrs. Pitts has a rectangular backyard wi e dimensions shown below. She plans to cover her backyard wi rectangular pieces of grass turf measuring feet by foot. 0 ft feet foot Rectangular piece of grass turf 8 ft Patio ft ft 6 ft What is e minimum number of pieces of grass turf at Mrs. Pitts needs in order to completely cover her backyard, not including her patio? A 3 B 360 C 7 Page 5 Grade Ma Benchmark

28 In a survey 50 students at a middle school were asked to name e sports ey played. The results are shown in e diagram below. Sports Survey Soccer Basketball Volleyball How many more students played only sports an played all 3 sports? F 9 G 3 H 5 Page 6 Grade Ma Benchmark

29 5 A company at makes trucks delivers em to dealers by train. The company made 50 trucks but could not deliver all of em. The number of trucks e company did not deliver can be represented by. The trucks were delivered in 8 railroad cars. Each railroad car held e same number of trucks. Which epression represents e number of trucks at were delivered in one railroad car? A 50 8 B (50 )8 C Which epression is equivalent to ( 0) + (5 )? F G H Page 7 Grade Ma Benchmark

30 7 Look at e diagram below. Line t intersects parallel lines l and m. t l 0 m What is e measure of? A 30 B 60 C 0 Page 8 Grade Ma Benchmark

31 8 The grid below shows ΔLRW wi vertices at L (, 5), R (5, 3), and W (, ). y L 3 R W Which best represents e image of ΔLRW under e translation ( 5, y + 3)? y y L' 3 F L' R' H R' W' 5 W' y L' R' W' 3 G Page 9 Grade Ma Benchmark

32 9 The figure below shows a cone. The radius is 8 millimeters. The height is millimeters. mm 8 mm Which cone is similar to e cone above? A 8 mm C 6 mm 6 mm 9 mm B 0 mm mm Page 30 Grade Ma Benchmark

33 30 The manager of a stereo store has just received e two graphs shown below from his sales team. The graphs show e revenue from a new brand of speakers. $00 New Speakers y $50 New Speakers y Sales Revenue (ousands) $80 $60 $0 Sales Revenue (ousands) $0 $30 $0 $0 $ Mon Mon If e graphs show e same sales revenue for e same product over time, which statement best eplains why ese graphs appear to be so different? F G The graph on e left shows a decrease in e number of products sold over time. The graph on e right shows an increase in e number of products sold over time. H The vertical scales of e graphs are different, making one graph appear to have a greater increase in sales revenue over time. Page 3 Grade Ma Benchmark

34 3 Karen and Carl went to a game 0 miles away. Karen rode in a bus at traveled at an average rate of 0 miles per hour. Carl drove his car and traveled at an average rate of 60 miles per hour. How much longer did it take Karen to get to e game? A B C 5 hours hour 3 hours Page 3 Grade Ma Benchmark

35 3 Which graph has a domain of < and a range of y? y y F H y 5 3 G Page 33 Grade Ma Benchmark

36 33 Caroline s favorite trivia game features questions in 3 categories. The table below shows how Caroline did e last time she played is trivia game. Trivia-Game Results Category Science Sports Movies Number of Questions 9 Number of Questions Answered Correctly 0 3 Based on e information in e table, which is e best prediction of how many science questions Caroline will answer correctly out of e net 0 science questions she is asked? A B 6 C 3 The function y = 5 represents a function of e form y = a + c. If e value of c is multiplied by, how does e graph of e new function compare to e graph of e original function? F G The graph of e new function is a reflection of e graph of e original function across e -ais. The graph of e new function is a translation down of e graph of e original function. H The graph of e new function is e same as e graph of e original function. Page 3 Grade Ma Benchmark

37 35 KW is a diameter of e circle shown below K (, ) y W (3, 9) Midpoint Formula + y + y M = (, ) What is e midpoint of KW? A (, ) B (, ) C (, 5) Page 35 Grade Ma Benchmark

38 36 When e quadratic function y = is graphed, at what coordinates does e graph intersect e -ais? F (0, 5) and (0, 3) G (, 0) and (5, 0) H (3, 0) and (5, 0) 37 The pressure, P, inside a closed container is given by e product of a constant, n, and e temperature inside e container, t, divided by e volume of e container, V. Which equation best represents is relationship? A P = nt V B P = V nt C P = n Vt 38 A scientist conducts an air-quality study. She finds at e level of ehaust fumes in e air is a function of e number of cars on e highway. What is e independent quantity in is relationship? F G The level of ehaust fumes in e air The number of cars on e highway H The air-quality inde near e highway Page 36 Grade Ma Benchmark

39 39 Which of ese best represents e slope of e line graphed on e grid below? y A B C 7 3 Page 37 Grade Ma Benchmark

40 0 Mrs. Westfield asked her students to identify e parent function of y = 3. Which of e following student responses is correct? F y = G y = H y = Look at e rectangular prism below. The leng of e prism is 8ab 3 c units. The wid of e prism is 5a bc 3 units. The height of e prism is 7a bc units. V = Bh Volume of a rectangular prism = leng wid height Which epression best describes e volume of e prism? A 80a 7 b 5 c 6 cubic units B 80a 8 b 3 c 6 cubic units C 0a 7 b 5 c 6 cubic units Page 38 Grade Ma Benchmark

41 Ron signed a -mon lease on an apartment. He wrote an $850 check to pay for bo one mon s rent and e one-time security deposit. He will pay a total of $750, including rent and e security deposit, for mons in e apartment. Which system of linear equations can be used to determine r, e amount of Ron s monly rent, and d, e amount of e one-time deposit? F r d = 850 r + d = 750 G r + d = 850 r d = 750 H r + d = 850 r + d = A rectangle has a perimeter of 0 units. Its leng is 0 units more an its wid. If l represents e leng and w represents e wid, en is situation can be represented by is system of equations. What is e wid of is rectangle? l + w = 0 l = w + 0 A B C 65 units 30 units 70 units Page 39 Grade Ma Benchmark

42 Manny created a circular spinner for a game. The spinner has a radius of centimeters. The spinner is divided into 5 congruent sectors. 5 3 A = πr Area of a circle = π radius radius Which of ese is closest to e area of each sector on e spinner? F 90 cm G 36 cm H 5 cm Page 0 Grade Ma Benchmark

43 5 Look at e table below. Roman Numeral I II III IV V VI VII VIII IX X L C D M Arabic Numeral If e Roman numeral MCMXCVI represents e year 996, which of e following Roman numerals best represents e year 999? A B C MMI CMXCIX MCMXCIX Page Grade Ma Benchmark

44 6 Which table best describes points on e line graphed below? y y y F H y G Page Grade Ma Benchmark

45 7 Andy has only $0 to spend on art supplies. Paper costs $3.5 per package. Colored pencils cost $.50 per package. Art Supplies Paper COLORED PENCILS $3.5 $.50 Which is a reasonable combination of packages of paper and colored pencils at Andy can buy wi only $0? A B C 3 packages of paper and packages of colored pencils package of paper and 7 packages of colored pencils 5 packages of paper and packages of colored pencils Page 3 Grade Ma Benchmark

46 8 Which shows e right-side view of is 3-dimensional object? Front Right F H G Page BE SURE ALL OF YOUR ANSWERS ARE RECORDED ON THE ANSWER DOCUMENT. Grade Ma Benchmark

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