California. Content Standards. Mathematics. Practice and Mastery CAHSEE CAHSEE CAHSEE CAHSEE CAHSEE CAHSEE CAHSEE CAHSEE CAHSEE CAHSEE CAHSEE CAHSEE

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1 California Content Standards Mathematics Practice and Master C A L I F O R N I A

2 To the Student This book provides practice with the math skills that high-school students should master. The book has four practice units. Each unit has 8 multiple-choice problems from si ke areas of math. These areas are number sense; statistics, data analsis, and probabilit; algebra and functions; measurement and geometr; mathematical reasoning; and algebra I. Your teacher will eplain how to complete the practice units and how to record our answers. You ll use the Answer Form at the back of the book. Remember to fill in the answer bubbles completel. If ou change an answer, be sure to erase our first answer full. To help ou choose the best answer to a problem, use the following tips: Read each problem carefull before ou tr to answer it. Be sure ou know what the problem is asking ou to do. Then solve the problem. Cross out an answer choices that are not reasonable. Think about the remaining choices. Choose the one that seems best. Read the problem again. Check that our answer makes sense. Product Developer: Mar Ellen Osowski Editor: Pamela Halloran Designer: Pat Lucas Table of CONTENTS Practice One Number Sense... Statistics, Data Analsis, and Probabilit... Algebra and Functions...6 Measurement and Geometr.... Mathematical Reasoning... Algebra I...6 Practice Two Number Sense...8 Statistics, Data Analsis, and Probabilit.. Algebra and Functions... Measurement and Geometr....7 Mathematical Reasoning... Algebra I... Practice Three Number Sense... Statistics, Data Analsis, and Probabilit.. 7 Algebra and Functions... Measurement and Geometr.... Mathematical Reasoning...8 Algebra I... Practice Four Number Sense... Statistics, Data Analsis, and Probabilit.. Algebra and Functions...7 Measurement and Geometr....6 Mathematical Reasoning...6 Algebra I...67 Answer Form...69 Reorder No. CA76 -Pack ISBN Curriculum Associates, Inc. North Billerica, MA 86 Phone: 8--8 (U.S. & Canada) Fa: (U.S. & Canada) info@cainc.com Web: No part of this book ma be reproduced b an means without written permission from the publisher. All Rights Reserved. Printed in USA

3 Practice ONE Number Sense Answer Numbers through.. Which is the prime factorization of the denominators when finding the least common denominator for 7 7 6? A B C D. A popular stle of jeans is marked up % from the factor manufacturer s price of $.. What will be the purchase price of the jeans in a retail store? A $.7 B $. C $6. D $.7. Tristan has completed the answers to of the 8 questions assigned in his social-studies class. What decimal portion has he completed? A.8 B.6 C.8 D.6. How man numbers on a number line have an absolute value of 6? A B C D 6. What is the product of - and -? A - 8 B - 8 C D 6. The members of the art club plan to participate in a competition in which each club member is given the same materials to create an art object. Each member is to pa $8. of the $7. cost of his or her materials. The remaining cost is to be paid from the club s funds. What is the total amount of the cost of materials that is to be paid from the club s funds? A $9. B $. C $7. D $8.

4 7. The planet Neptune is about,8,, miles from the sun. Which number written in scientific notation represents Neptune s distance from the sun? A.8 6 B.8 8 C.8 9 D Angela squared a whole number, which resulted in a number between, and,. Which could be the number that she squared? A B 6 C 6 D,96 9. Of the students in Ada s math class, out of ever students are girls. What percent of the class are girls? A % C % B % D %. Which is true for the epression (.)? A., (.) # B, (.),. C, (.), D, (.),. Over a period of week, Kashka was able to improve his score on 8 holes of golf from points to 96 points. B what percent did he improve his score? A % B % C % D 8%. Which represents ( ) 6? A B C 8 D. Clarissa makes a commission on items that she sells in the furniture store where she works. If she makes a $7. commission on the sale of an item costing $8., what is her percent of commission? A 7% B % C 8% D 8%. Quinn is preparing a recipe that calls for cups of seasoned bread crumbs. If he has cups of bread crumbs, how man 8 more cups does he need? A B C D 9

5 Statistics, Data Analsis, and Probabilit Answer Numbers through 6.. Joceln is speed jump roping. She kept track of the number of jumps without misses, in seconds. The chart shows five results. What is the mean number of jumps in seconds? Trial Number of jumps A 7 C B 9 D The probabilit that Hector will select a green marble from a jar of marbles is., and the probabilit that he will select a ellow marble is.. What is the probabilit that he will not select a green or ellow marble? A. C. B. D.6 7. Vic and Deirdre are preparing to pla a board game. The are choosing a game piece from red, ellow, and blue pieces. If Vic reaches into the bo without looking and gets a ellow game piece, what is the probabilit that Deirdre, without looking, will also get a ellow game piece? A 7 C 7 B 6 D 8. The circle graph shows the percent breakdown of the part of a high-school population that belongs to different clubs. If students belong to different clubs, which set of data is represented b the circle graph? Environmental % A B C D High-School Clubs Math % Chess % Spanish % Drama % Club Number of members Environmental 8 Drama 9 Spanish 6 Chess Math Club Number of members Environmental 8 Drama Spanish 6 Chess Math Club Number of members Environmental 8 Drama Spanish Chess Math Club Number of members Environmental 8 Drama 8 Spanish Chess 6 Math

6 9. Eustis received the following scores on his last five math tests: 9, 87, 88, 9, 9. What is the median of his test scores? A 88 B 9 C 9 D 9. The scatterplot shows data about the relationship between age and time spent listening to music. Twent children between ages 8 and were asked the number of hours, on average, that the listen to music per week. Which statement is BEST supported b the data in the scatterplot? Hours Age A Children under the age of 8 do not listen to music. B The -ear-olds each listen to music for about the same amount of time. C As children get older, the spend more time listening to music. D The -ear-olds spend more time listening to music than the -ear-olds.. Ms. Alpert is choosing between white, almond, or gra paint for her garage. She must also choose one of three stles of new garage doors. The table shows all possible choices of one paint color and one door stle. white almond gra stle white, almond, gra, stle white, almond, gra, stle white, almond, gra, If she chooses one of these pairs of choices at random, what is the probabilit that it will be the almond paint color with door stle? A 9 B 9 C D. Mr. Alvarez s class of students has fewer bos than girls. Mr. Alvarez wrote the names of the students on cards and placed the cards facedown. He randoml chose a student card and asked that student to come to the board to complete of problems. What is a possible probabilit that Mr. Alvarez chose a girl? A % B % C % D 6%

7 . Ali is on the tennis team and has been hitting the ball into the net or 6 times during a match. He has been spending etra time practicing and used this scatterplot to show the effect on his tennis game.. The double-bar graph compares the mone spent on food supplies at a da-care center for Januar through Ma in and 6. Which statement is true about the graph? Monthl Food Epense 7 Shots into the Net 6 Cost (in dollars)... Practice Hours Jan. Feb. Mar. Apr. Ma All of the following are valid conclusions based on the scatterplot, ecept which one? A The graph shows a positive correlation. B The graph shows that Ali hit the net less frequentl as he practiced more. C The graph shows a negative correlation. D Ali has reduced the number of hits into the net b at least 7%.. Cruz practices on his drum set ever da. The table shows the length of time, in hours, that he practiced each da last week. Which time represents the mode? Da 6 7 Time A. B. C. D.7 6 A Each month in 6 had greater food epenses than in. B Each month in had greater food epenses than in 6. C The months of Januar and March had greater food epenses in 6 than in. D The months of March, April, and Ma had greater food epenses in 6 than in. 6. The West Valle Veterinarian Clinic treated 8 animals last week. Shots were given to half of the cats and dogs treated. The onl other tpes of animals treated that week were 6 goats and sheep from a local farm. What can be concluded from the information given? A The clinic treated 8 sheep. B The clinic treated dogs. C The clinic treated 6 cats. D The clinic treated cats and dogs.

8 Algebra and Functions Answer Numbers 7 through. 7. Use the points on the graphed line to determine the slope of the line epressed as the ratio of the vertical change to the horizontal change. 9. Kain walks to school ever da. The graph shows his average rate of speed. What is Kain s average rate of speed? A C B D Miles Hours A. mile per hour B. mile per hour C. mile per hour D miles per hour 8. The epression () - can be written in which form? A B C D. What is the solution to 8? A 6. B C D 6. 6

9 . Onl a portion of a graph is shown. Which is the equation of the graph? Which graph has a slope of? A B A B C D. Which is equivalent to 6 6? C A 6 B 6 C 8 D 8. Horace split the road time for his trip to his friend s house into two parts. For the first part of the trip, he drove miles in hours. During the second part of the trip, he drove the remaining miles in hours. What was his average rate of speed for the entire trip? A miles per hour B miles per hour C miles per hour D D 6 miles per hour 7

10 . Phineas bought pounds of apples and pounds of oranges for a total of $9.6. Marlene bought pounds of apples and pounds of oranges for a total of $7.8. When represents the cost of a pound of apples and represents the cost of a pound of oranges, which sstem of equations could be used to find the price per pound of each tpe of fruit? A 7 6 $7. B $9.6 and $7.8 C $9.6 and $7.8 D $9.6 and $ Mrs. Friedman s new job requires that she commute to and from work each da. For one work week, she kept track of the total commute distance. Based on the dail distances shown in the graph, what is the distance from her home to her workplace? Miles A miles B miles C 6 miles D 8 miles Das 7. The graph shows the difference in cost of belonging to two different book clubs. For members of club A, the onl cost is that of each book ordered. Club B has an initial membership fee as well as the cost of each book ordered. What is the difference in the cost of ordering a book from each club? Cost (in dollars) Club B Club A Number of Books A $ C $ B $8 D $ 8. Morgan has read si fewer than twice as man books as Hale has read. If represents the number of books that Hale has read, which epression represents the number of books that Morgan has read? A C 6 B 6 D 6 8

11 9. When Amanda eercises, she can walk at a rate of miles in minutes. At this rate, how far can she walk in minutes? A miles B. miles C miles D 6.7 miles. When and, what is the simplified result of 6()? A 8 B 7 C 9 D. Ma s Fitness Gm is offering a special membership plan. The graph shows the monthl cost of the plan for 8 months. What MOST likel eplains the graph of the line from to months? Cost (in dollars) Month A The member was not able to pa his monthl fee during this time. B The use of the gm was free for the first months. C The fee of $ covered all of the first months. D The monthl membership fee of $8.7 did not show on the member's account until the third month.. The number of homework problems that Gracie has completed compared to p, the number of problems that Theo has completed, is p 7. How man problems has Theo completed? A B 6 C D 7. Kiefer s part-time food-deliver job pas an hourl wage plus tips. Because his hours and tips var, his average weekl earnings can be represented b the inequalit 7 #, where represents his total work hours. What is the average number of hours that Kiefer works in one week? A 7 B C D 9

12 Measurement and Geometr Answer Numbers through 6.. Gar would like to change his wrestling weight class from pounds to pounds. If he achieves his goal, what could the scale read in kilograms? ( pound <. kilogram) A 8. C. B 6.7 D 7.. Sello checked the thermometer before deciding if he needed a jacket. The thermometer read Celsius. What is this temperature in degrees Fahrenheit? (F 9 C ) A C B D Ever da, Damien rides his bike to soccer practice at a rate of about 8 kilometers per hour. What is his rate of speed epressed as meters per minute? A meters per minute B 8 meters per minute C meters per minute D,8 meters per minute 7. Through the center of an oval garden is a pathwa that measures. centimeters (cm) in a diagram. If the actual distance of the pathwa is feet (ft), what is the scale of the diagram? A ft. cm B cm. ft C cm ft D cm 9. ft. centimeters 8. Terrell created a circular painting that has a circumference of p inches. Which is the smallest frame that he can use for the painting without the frame covering an of the painting? A a square-shaped frame with inside dimensions of inches per side B a square-shaped frame with inside dimensions of inches per side C a square-shaped frame with inside dimensions of. inches per side D a square-shaped frame with inside dimensions of inches per side

13 9. Sandra and Kenneth plan on doing some remodeling in their kitchen. The estimate that it will take them das if the work 9 hours a da. If a friend offers to help them and the of them work 6 hours a da, how man das will it take to complete the job? A C 6 B D. Garrett built a podium in the shape of a rectangular prism. It measured. feet high, feet wide, and feet long. If he painted all but the bottom surface of the podium, how man square feet did he paint? A C B. D 7. Ms. Piazza s art class is making table-lamp bases b filling glass clinders with laers of colored sand. Each clinder has a diameter of 6 inches and a height of inches. How much space will be filled with sand? (V pr h and p <.) A B C 88. cubic inches 8.6 cubic inches 76.8 cubic inches D,. cubic inches. Lionel plans to replace the sod in his backard, shown in the diagram. How man square feet of sod will he need?. The swim team is making signs with large maroon arrows, like the one shown, to direct the wa to the men s locker room at the sports facilit where the are having a swim competition. How man square inches (in. ) of the sign are covered b the maroon arrow? 6 feet 6 feet feet feet 8 in. in. A 68 B 6 C D 88 6 in. in. A 7 C 8 B 76 D 66

14 . Henrietta built a doghouse, shown in the diagram, for her dog Rocket. She plans to paint the top, front, back, and sides of the roof. How man square feet will she paint?. feet 6 feet B A C D ROCKET feet A 8. square feet B square feet C 9 square feet D 77 square feet 7. Which rectangle is the image of rectangle ABCD translated units to the right and units down? A B' A' C' D'. A decorative triangular flag has a height of. feet and a base of feet. What is the area of the flag in square inches? A C,8 B 97 D,9 B D' A' C' B' 6. The graph shows triangle ABC. What is the area, in square units, of triangle ABC? 6 6 A 6 B C 6 A 6 C B D C D A' D' B' C' C' B' D' A'

15 8. The diagram represents a rectangular piece of land that will soon be developed. The dotted line is a paved road that the developers constructed. What is the length of the road? 6. Which figure is congruent to a right triangle with congruent legs that equal 7 inches in length? A 7 inches 6 miles 8 miles B 7 inches A 7 miles B 9 miles C miles D miles 7 inches C 9. What is the value of? 7 inches 7 inches 7 8 D 7 inches A 9 B C D 6 inches

16 Mathematical Reasoning Answer Numbers 6 through The noontime temperatures for three consecutive das are shown in the table. If this pattern in rising temperatures continues at about the same rate, what will be the noontime temperature on the fifth consecutive da? Da Temperature 6 F 6 F 6 F A 6 F B 66 F C 67 F D 68 F 6. The sets of values in the table show a relationship between and. What represents that relationship? 9 7 A B 8 C D 6. If, a and a,, which could be a value of a? 6. A small plane, which travels at an average rate of miles per hour, makes two round trips dail from cit A to cit B. The plane takes.6 hours to travel from cit A to cit B. How far does the plane travel in a round trip? A miles B 6 miles C, miles D,6 miles A B C D

17 The scale on a map shows that inch represents miles. Mettice measured the distance on the map, between cit A and cit B. The measure equals. inches. How man miles are between the two cities? 6. Mettice used a proportion to solve the problem above. Which of the problems below can also be solved b using a proportion? A Mettice drove miles Monda, 7 miles Tuesda, and miles Wednesda. How man total miles did he drive? B Mettice had $.. After he finished shopping, he had $9.7 left. How much did he spend while shopping? C When Mettice travels b car, he stops times for ever miles he drives. If he has stopped times, about how man miles has he driven? D Mettice drove from cit A to cit B. After conducting some business, he chose a different route for the return trip to cit A. He traveled at the same average rate of speed, and the trip was minutes shorter. If the round trip took hours, how long did each part of the trip take? 66. Mr. Ward reserved the buses needed to transport 7 students and the chaperones on a field trip. He plans to have no more than 6 people on a bus, with at least chaperone per bus. To determine if Mr. Ward reserved the correct number of buses, what additional information is needed? 67. What is the BEST estimate of,7? A B C D, 68. The graph shows the time that Nuncio takes to complete his essa questions. About how long might it take for him to complete 9 questions? Number of Questions A. hours B hours C. hours D 9 hours.7 Time (in hours) A the number of chaperones B the difference in the number of students on the first and second buses C the number of buses reserved D both A and C

18 Algebra I Answer Numbers 69 through Which is the equation of the graphed line? 7. What is the slope of a line parallel to the line? A C B D Which is a simplification of ( )? A B C 6 D 6 A B C 6 D 6 7. The base of the triangle is units less than the height. Which epression can be used to represent the number of square units in the area of the triangle? 7. What is the opposite of? A B C D 6 6 A B C D

19 7. What is the set of all integer solutions for the equation 6? A { } C {, } B {} D {, } 7. Which point lies on the line whose equation is? A (6, ) C (6, 8) B (, 7) D (, ) 76. Dewe solved the equation ( 7) 7 b using the following steps: Given: ( 7) 7 Step : 7 Step : 6 7 Step : 6 Step : 7 What propert did Dewe use to get from the given to step? A distributive propert B associative propert C commutative propert D multiplicative inverse propert 78. Which is equivalent to the equation 6 8? A 8 6 B 6 8 C D What is the solution to this sstem of equations? 7 A ( 8, ) B ( 6, ) C (6, ) D (8, 7) 8. What are the and intercepts of the line whose equation is? A -intercept (, ), -intercept (, ) B -intercept (, ), -intercept (, ) C -intercept (, ), -intercept (, ) 77. Alice bikes for. hours at a rate of miles per hour. If she wants to ride the same distance in. hours, at what rate would she have to travel? D -intercept (, ), -intercept (, ) A 9. miles per hour B. miles per hour C miles per hour D 6 miles per hour 7

Pellissippi State Middle School Mathematics Competition

Pellissippi State Middle School Mathematics Competition 8 th Grade Eam Scoring Format: 3 points per correct response - each wrong response 0 for blank answers Directions: For each multiple-choice problem