Beginning-of-Year Diagnostic Test

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1 . t 7 P.M. the temperature was 5 F. t midnight the temperature was 7 F. What was the change in temperature? F 7 F C 5 F D F. What is the product of ( 5)? 60 C 4 4 D 60. What is true about the relationship between miles and gallons? gallons 4 6 miles There is no relationship between miles and gallons. There is a proportional relationship between miles and gallons C There is a to 5 relationship between miles and gallons. D There is a 0 to relationship between miles and gallons 4. Which decimal is equivalent to 4 0? 0. C D t the farmers market, you can buy jars of honey for $, 6 jars of honey for $4, or 9 jars of honey for $6. What is the constant of proportionality for buying jars of honey? C 6 4 D 6. ndrella makes bead bracelets. Each bracelet is 7 inches long. ndrella has a 67-inch length of beaded string. How many necklaces can she make? 7 necklaces 9 necklaces C 0 necklaces D necklaces 7. The ground temperature at sea level is 60 F. For every 00-foot increase in elevation, the temperature rises of 0 one degree. t an altitude of,000 feet, what will be the likely temperature? 5 F 6 F C 7 F D 0 F. Tamara walked 4 mile in hour. Which of the following represents the unit rate that Tamara walked? mi/h C 4 mi/h mi/h D mi/h 9. Simplify (a b) (4a b). a b C a b a b D a b 0. Jay spent $6.40 to buy 4 muffins. How much will 9 muffins cost? $.0 C $4.40 $.0 D $ reduced scale drawing of a rectangle measures inches by 6 inches. The scale factor is. What is the size of the 4 original rectangle? in. 4 in. 6 in. 0 in. C 6 in. 4 in. D 4 in. 64 in.. Which fraction is equivalent to 0.? C 5 7 D

2 . The cost of pounds of coffee is $7.95. To the nearest dollar, what is the cost of 5 pounds of coffee? $4 C $45 $6 D $90 4. On a map, the distance between two cities is 5.5 inches. The map scale is in.:5 mi To the nearest mile, what is the actual distance between the two cities? mi 0 mi C 5 mi D mi 5. Patti got a new part-time job. Her hourly wage increased from $0.50 to $.9. What was the percent increase in Patti s hourly wage?.% C % 5.5% D 9% 6. To the nearest cubic centimeter, what is the volume of the prism below? 9. Which equation is represented by the graph below? y x y x C y x D y x 0. To the nearest square inch, what is the surface area of the square pyramid below? 9 cm C cm 44 cm D 76 cm 7. bag contains blue marbles, 5 red marbles, and green marbles. Jonas selects a marble and then returns it to the bag before selecting a marble again. If Jonas selects a blue marble 4 out of 0 times, what is the experimental probability that the next marble he selects will be blue?.0% C 0% % D 00%. The circumference of a circle is 6 inches. What is the radius of this circle? 9 in. in. C in. D 6 in. 75 in C 400 in 00 in D 700 in. Cybil flips a coin and rolls a fair number cube at the same time. What is the probability that she will toss tails and roll a number less than? 6. The Rogers family drove 0 miles in 5.5 hours. How many miles would they drive at this same rate in 4 hours? mi 47 mi C D 5 C 60 mi D 76 mi 6

3 . Your school is choosing a new school mascot to represent all team sports. Which group should you ask to get a random sample of student opinion? students on the basketball team every 0th student that enters the cafeteria C the first 0 seniors at the library D students on the cheerleading squad 4. rectangle is 4 inches long and 4 inches wide. smaller, similar rectangle is inches wide. To the nearest inch, what is the length of the smaller rectangle? in. 7 in. C in. D in. 5. Inside a bag are 0 colored marbles. There are 6 yellow, 9 red, 7 white, and blue. One is drawn at random. Which color is most likely to be chosen? white red C blue D yellow 6. Which table represents the same linear relationship as the equation y x 6? 7. Evan s dog weighs 5 pounds. What is this weight written as a decimal? 5.5 lb 5.75 lb C 5.5 lb D 5.65 lb. The spinner below is divided into sections that are red, green, or blue. What is the probability that the spinner will land on red or green? 4 C D 5 9. ased on the dot plots below, which of the following is a true statement? x 0 5 y x 4 5 y 9 0 C x 4 5 y D x 4 5 y 6 0 Set has the greater mode. Set has more items than set. C Set is more symmetric than set. D Set has the greater range. 0. For a trip, Eli packed shirts, pairs of pants, and pairs of shoes. How many different outfits can Eli make? 6 outfits outfits C 9 outfits D outfits 7

4 . The net of a triangular prism is shown below. What is the surface area of the prism? 5. To the nearest tenth, what is the area of the figure below? Segment F is a line of symmetry of the pentagon CDE. Use.4 for. cm C 76 cm 5 cm D 04 cm. middle school has 470 students. Regina surveys a random sample of 40 students and finds that have cell phones. How many students at the school are likely to have cell phones? students students C 9 students D students. Which of the following is the solution to the inequality below? x 6 x 5x 0 0 C x 6 D x 4. Nina operates a dog walking service. She charges a flat fee of $5 plus $5 per hour. Which equation represents this linear relationship? y 5x 5 C y 5x 5 y 5x D y 5x 5 0. in C 9. in.0 in D 4. in 6. What is the measure of GD? C 90 D 0 7. The Masim family s monthly budget is shown in the circle graph below. The family has a current monthly income of $5,000. How much money do they spend on food each month? $50 C $750 $500 D $,00

5 . box is 0 inches long wide, 6 inches long, and 4 inches high. To the nearest cubic inch, what is the volume of the box? 4 in C 40 in 40 in D 6,70 in 9. circle has a radius of 7 inches. What is the area of the circle, rounded to the nearest whole number?.9 in C 5.6 in 4.96 in D in 40. The circle graph shows the results of an employment survey of 00 people. How many of the people surveyed were unemployed? 4. 6-inch piece of string is centimeters long. To the nearest 0.0 a centimeter, how long will a 4-inch piece of ribbon be? cm.64 cm C 06.6 cm D,706. cm 4. One circle has a diameter of 6 inches. second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle? : C :6 :6.4 D :64 Use the box plot for people 40 people C 0 people D 0 people 4. n equestrian center is surveying riders to determine which type of horse is preferred. Which of the following is a random sampling method? The equestrian center manager surveys the first 50 riders. The equestrian center surveys every tenth rider at the stable. C The equestrian center manager surveys 50 of his friends. D The equestrian center surveys the 50 best riders. 44. What is the median? 0 C 40 5 D What is the interquartile range? 0 C 40 0 D 45 Use the figure for What is the measure of FEG? 0 C D 70 9

6 47. Which of the following is not true? 5x 6x 70 5x 6x 0 C 5x 6x 0 D 5x 6x Which equation represents the data shown in the table below? Cost (y) Gallon (x) 4 6 y x C y.5x y x D y.5x 49. Which number line represents the solution to the inequality below? C D x 50. Three stores have the same tablet computer on sale. The regular price of the tablet is $50. Store is offering the tablet on sale at 5% off the regular price. Store is offering a $5 coupon to be deducted from the regular price. Store C is offering a rebate of $0.00 to purchasers. Store D has the tablet on sale for $0.00. Which store is offering the tablet at the lowest cost? Store Store C Store C D Store D 5. The circumference of a circle is feet. What is the radius of the circle? ft 6 ft C ft D 4 ft 5. The Demir family has a monthly budget of $5,500. Mrs. Demir works fulltime and takes home $4,000 each month. Mr. Demir works part-time and brings home earns $6 per hour. How many hours per month must Mr. Demir work at his parttime job to make sure that he and Mrs. Demir have met their monthly budget? 7.5 h 75 h C 9.75 h D 5 h 5. Chana has a bag of colored tiles. Without looking, she removes one tile, records the color, and replaces it. She repeats this process 40 times and records the results in the table. Color Frequency Red 9 lue Green 4 Yellow 5 What is the probability that Chana will not pick a yellow tile on her forty-first time? 4 C D Mills Middle School has 0 students. random sample of 0 students were asked how many cars their families have at home. The results are shown in the dot plot below. 0

7 Which of the following is a qualitative statement that is reasonable based on the data? The fewest number of cars at home is 0. Most students have or fewer cars at home. C Most students have or more cars at home. D The median number of cars at home is. 55. aron buys ties for $9.95 each, a belt for $.50, and a pair of boots for $4.95. The sales tax in his city is 5%, To the nearest cent, what is the total cost of aron s purchases? $7. C $.7 $97.77 D $ The probability of spinning an odd number on a spinner is 6 percent. What is the probability of not spinning an odd number? 0. C D The dot plots below show the number of hours per week that some sixth graders and eight graders play video games. What is the difference between the mode for sixth graders and the mode for eight graders? 5. baseball player gets a hit 0% of the times he is at bat. Out of the next 5 times at bat, how many hits can you expect the player to get? hits hits C 5 hits D hits 59. What is the volume of the prism below? 00 cm C 50 cm 5 cm D 00 cm 60. What is the value of x in the equation below? 5x 5 40 C 5 D 5 6. To the nearest hundredth, what is the area of the figure below? Use.4 for. 57. in C in in D.96 in 6. Mike has $75 to spend at a local model car show. The entrance price for the show is $0. t one seller s stand, Mike finds some model cars that he likes that are $7.50 each. What is the maximum number of model cars that Mike can buy at that stand? 6 cars 7 cars C cars D 0 cars h 5 h C h D h

8 6. 7-by-7 foot rug is shown below. coin is tossed onto the rug randomly. What is the probability that the coin will land on an area that is white? 6.5% C 7.47% 6.% D 76.9% 64. On a road map, the distance from Greenmount to Yorktowne is inches. The map scale is in.:5 mi. How many miles is the actual distance between the two cities?.5 mi 5 mi C 50 mi D 5 mi 65. The temperature in Jukkasjarvi, Sweden, was at P.M. fter 6 hours, the temperature dropped to 5. The temperature dropped the same amount each hour. What was the change in temperature each hour? 5 C D 66. The two quadrilaterals below are similar. What is the length of EF? 9 cm 5 cm C 7 cm D cm 67. The Canadian $ coin has a diameter of millimeters. To the nearest 0.0 mm, what is the circumference of this coin? 7.9 mm 75.4 mm C mm D,46.76 mm 6. Rinaldo is buying a new truck for $6,000. He is entitled to an % rebate. How much will the truck cost after the rebate? $,00 C $,0 $9,50 D $5, bike rental company charges a $0 fee plus $5 per hour. Sofia has $5 to spend. Which inequality could you use to find x, the number of hours Sofia could rent a bike? 0x 5 5 C 0x 5 5 5x 0 5 D 5x To the nearest square meter, what is the area of the figure below? m C 56 m 40 m D 7 m 7. The Dead Sea is at an elevation of,60 feet. seabird is flying over the Dead Sea at an elevation of 4 feet. If the bird lands on the Dead Sea, what will be its change in elevation?,7 ft 9 ft C 9 ft D,7 ft 7. On a scale drawing, the image of an alligator is 7 inches long. The scale factor is. What is the actual length of the 5 alligator in inches? in. 5.7 in. C 75 in. D 0 in.

9 7. Norfolk Island near ustralia has an area of 6 square kilometers. The area of ermuda is. times that of Norfolk Island. To the nearest tenth, what is the area of ermuda? 4.5 km C 64. km 6.5 km D 64 km 74. ecky earned $,0.0 last year. She earned the same amount each month. To the nearest penny, how much did she earn per month last year? $77. C $,0.4 $,77.4 D $, Omar spins both the spinners below. What is the probability that he will land on red and a number less than 5? 77. One triangle has sides that measure yards, 5 yards, and 7 yards. The side lengths of a second triangle are 4 yards, 90 yards, and 0 yards. What is the constant of proportionality between the second and first triangle? 6 C 6 D 7. supermarket is having a sale on canned foods. The sale includes 0 cans of beans for $.50. What is the unit price per can of beans? $0.0 C $.75 $.5 D $ eth says the graph below shows last year s temperatures in degrees Celsius. 64 C D Each hour, the temperature rose by degrees. What was the change in temperature in hours? Which of these could not have been one of last year s temperatures?. C 0.9 C C 7.6 C D 0. C 0. larger circle contains white, striped, and black squares in the same ratio as those shown in the circle below. If the larger circle contains 6 squares, how many of them are black? 4 degrees C 4 degrees 4 degrees D degrees 6 squares 54 squares C 7 squares D 6 squares

10 . rectangular prism is 5 meters long, meters wide, and meters high. What is the surface area of this prism in square inches? 0 m C 5 m 4 m D 00 m. Simplify the expression below. 6 () 4 C 4 D. Four students put their game scores on the number line below. What is the combined score of students and D? C 0 D 4. va wants to leave a 0% tip for the server at a restaurant. Which expression represents the total amount va should pay, if m is the price of the meal? m C m 0.m 0.m D m 0m 5. rectangular prism is sliced by a horizontal plane. What is the shape of the cross-section? triangle circle C rectangle D trapezoid 6. What is the probability of flipping two coins and both landing tails? 0.5 C.5.5 D 4 7. Which statement is true about the line segments below? They can form a unique triangle. They can form more than one triangle. C They cannot form a triangle. D It cannot be determined whether they can form a triangle.. t a school carnival you pick a ball from two different containers. Each container has red balls and green balls. How many possible outcomes are there? C 6 4 D 9. The theoretical probability of a customer walking into ndy s deli and purchasing a sandwich is 6 in 0. Which of the following predictions about ndy s deli is most likely true? The next 6 customers will purchase a sandwich. The next 0 customers will purchase a sandwich. C 6 out of the next 00 customers will purchase a sandwich. D out of the next 0 customers will purchase a sandwich. 90. Simplify the expression below. x y y x (y x) C 4x y D x y 4

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