Name Numeration, Patterns, and Relationships

Transcription

1 Numeration, Patterns, and Relationships 1. What is ( ) (7 10 ) in standard form? A 7,000,000,000 B 0,700,000,000 C,700,000,000 D,070,000,000. Which submarine is closest to the surface? Submarine Yellow Green Blue Red A Yellow B Green C Blue D Red. Of the numbers Depth 0 ft 60 ft 50 ft 0 ft, 7, 0., and 0.5, which is farthest to the right on a number line? A B 7 C 0. D 0.5. What is ( 9)? A 11 C 7 B 7 D Campsite A is at an altitude of 5 ft. Campsite B is at an altitude of ft. How much higher is Campsite A than Campsite B? A 7 ft B 1 ft C 17 ft D 67 ft 6. Maurice shot under par, or, on each of the first holes of golf. What is his score with respect to par after the fourth hole? A B C D 7. The temperature dropped 1 degrees in hours. What was the average change in temperature each hour? A 9 C B D 9 10

2 Numeration, Patterns, and Relationships (continued). What are the coordinates of point D? D A A (, ) C (, ) B (, ) D (, ) y B C 5 x 11. Jamal drew the graph shown. Which equation did he use? x A y x B y x C y x D y x 5 5 y 9. Write an expression to describe the relationship in the table. m n Which computation should you do first to evaluate this expression? A m 1 B m 1 C m 1 D 1 m 10. Carla earns $5 each time she rakes the leaves. Use the table to find the equation that represents this situation. Rakes x 1 Money y A y x C y 5x B y x 5 D y x 5 A 9 5 B 1 1 C 1 D A pound is 16 ounces. Which expression shows the number of ounces in p pounds? A 16p B 16 p C 16 p D 16 p

3 Numeration, Patterns, and Relationships (continued) 1. the property used in the equation. (7 ) 1 7 ( 1) A Distributive Property B Associative Property C Commutative Property D Zero Property 15. Solve the equation 10. n.. A n.0 B n. C n 1. D n You pay $6. for a video game. The amount includes a tax of $.. Which equation can be used to find c, the cost of the video game before tax? A c. 6. B c. 6. C c 6.. D c Solve x. A x 1 5 B x 1 C x 1 6 D x 1 1. Solve 16h. A h 1 6 B h 1 1 C h 1 D h 19. Solve 5t 5. A t 5 B t 7 C t 7 D t 5 0. Solve x A x 6 B x 11 C x D x 105

4 Operations with Whole Numbers 1. Traci wants to find 9 mentally. Which of the following strategies should she use? A ( 00) ( 90) B ( 00) ( 90) C ( 500) ( ) D ( 500) ( ). Which equals 7? A 1 B C 6 D 1. Which is the prime factorization of? A B C 16 D 6. Which number is divisible by? A 6 C 96 B 5 D What is the GCF of 15 and 0? A B C 5 D 9 6. Maria s parents do not have to work this Saturday. Her mom gets every sixth day off. Her dad gets every fourth day off. How long will it be until they both get a day off together again? A 1 days B days C days D 96 days 7. The art teacher has 6 small sticks and 60 pipe cleaners for art projects. He wants to make kits for the students using all the sticks and pipe cleaners. All the kits must be alike. He wants to make as many kits as possible. What is the greatest number of kits he can make? A kits B 9 kits C 1 kits D 6 kits 106

5 Fractions, Decimals, and Percents. Gina works in a shoe store. During a sale, she sold pairs of shoes. Before the sale started, there were pairs of shoes in stock. In simplest form, what fractional part of the stock did Gina sell? A B 1 C 1 D Which of the following shows numbers in order from least to greatest? A.1,.99,.9, 0.1 B.9,.99, 0.1,.1 C 0.1,.99,.9,.1 D 0.1,.9,.99,.1 1. Jamie s cat weighs 6 1 pounds. Her dog weighs 9 7 pounds. About how much more does Jamie s dog weigh than her cat? A About pounds B About pounds C About 5 pounds D About 6 pounds _ A 1 7 B 1 C 1 D 7 0. Which number does not equal? A B.5 C.75 D 6. Kira gave handball lessons for 5 hours on Saturday and hours on Sunday. How many hours did she teach in all? A hours B hours C 5 1 hours D 1 1 hours 107

6 Fractions, Decimals, and Percents (continued). How many one-eighths are in? A 1 16 B C D During a race Li averaged 10 miles per hour for 5 5 hours. Which is the best estimate of the total distance he ran? A 0 miles B miles C 0 miles D miles 5 6. What is 7? A 1 B C D What is 5 6? A 5 B 5 C 1 1 D A 0.7 B 1.7 C 0.6 D A 0.7 C B 0.07 D Mr. Littleton bought 67.5 pounds of hamburger. He wants to separate it into packages of 1.5 pounds. How many packages can he make? A packages B packages C 5 packages D packages 1. Mr. Jones earns about 75,0 frequent flier miles per year. What is this number written in scientific notation? A B C D

7 Fractions, Decimals, and Percents (continued). There are 6 squares, 9 rectangles, and circles. What is the ratio of circles to rectangles? A 6 9 B 6 C 9 D You are making a scale drawing of your bedroom using a scale of 1 inch 1.5 feet. The actual width of your bedroom is 1 feet. What width should your bedroom be on the scale drawing?. Which store has the best buy on acrylic paint? What is its unit price? A 6 in. B in. C 9 in. D 1 in. Painter s Palette acrylic paint for $7.50 brushes for $5.5 The Hobby Shop acrylic paint for $9.79 brushes for $10.99 Art World acrylic paint 6 for $1.99 brushes for $9.50 A The Hobby Shop; $.7 B Art World; $.75 C Art World; $.17 D The Hobby Shop; $ The formula d rt gives the relationship among distance, d, rate of speed, r, and time, t. Use the formula to find how long it would take to travel 17 miles at 6 miles per hour. A hours B.5 hours C hours D.5 hours 7. Which is the best estimate of 9% of 9? A.5 C 5 B 0 D 0. A recipe calls for 1.5 cups of flour and 0.75 cup of sugar. Which proportion can be used to find f, the amount of flour needed to make this recipe with 1.5 cups of sugar? A B f f C f 1.5 D 1.5 f You buy a pair of jeans that normally cost $5.99 for 5% off. Sales tax is.5%. How much do you pay? A $9.5 B $6.99 C $.07 D $.1 109

8 Measurement and Geometry Use the figure for Questions 9 and Find the measure of P. P D E C A B 5 9. Which angle is complementary to DBC? A CBA B EBA C DBF F A 5 B 5 C 55 D 15 R 5 5. Which figure is a parallelogram with all sides congruent? S D DBE 50. What is the measure of CBE? A 5 B 55 C 15 D How many edges does a pentagonal prism have? A 15 B 1 C 10 Figure A Figure B Figure C Figure D A Figure A B Figure B C Figure C D Figure D 5. What type of transformation was used to move Figure I to Figure II? Fig. l Fig. ll 110 D 5 A Translation B Rotation C Reflection D Glide

9 Measurement and Geometry (continued) 55. There are 0 quarts of milk on the grocery s shelves. How many gallons is this? A 60 gallons B gallons C 7.5 gallons D 6 gallons 56. Find the missing number. 9 ml L A 0.09 C 90 B 0.9 D 9, About how many pounds is 9 kilograms? A 5 pounds B 10 pounds 1 kg. lb 59. Which measurement is most precise? A 5 mm B 5 cm C 50 cm D 0.5 m 60. The perimeter of a rectangular park is 0 yards. The park is 170 yards wide. If stands for the length of the park, which equation can be used to find? A B 0 0 C 0 0 D Find the area of the parallelogram. C 0 pounds D 0 pounds 5 yd 5. Subtract. h 5 min 15 h 17 min A h 1 min B h 5 min C h 1 min D h 5 min A yd B 0. yd C 0 yd D. yd 6. yd 111

10 Measurement and Geometry (continued) 6. Find the area of the triangle. in. 7 in. 65. Find the volume of the prism. 5 m. m.5 m A 1 in. B in. C 0 in. D 56 in. 6. A water sprinkler in the center of a garden shoots water for a distance of m in all directions. Caleb plans to put a small fence around the area being watered. How long should the fence be? Use.1 for. A 1 m B.5 m C 9.5 m D 99 m 66. Find the surface area of the cylinder below. Use.1 for. cm A 6. m B 1.56 m C 1.66 m D 5.1 m.5 cm 6. What is the area of the circle, rounded to the nearest whole number? Use.1 for. A About 7 cm B About 1 cm C About 7 cm in. D About 50 cm A 9 in. C in. B 19 in. D 11 in. 11

11 Data Analysis and Probability 67. The histogram shows the ages of people who entered an amusement park the first hour of opening day. Number of People People Entering an Amusement Park Under 1 1 to 1 Age Ranges 19 to 9 Over 0 The frequency table below was used to make the histogram. What is the missing number in the table? Age Range Frequency Under 1 1 to 1? 19 to 9 19 Over Which is the most appropriate display for the favorite activities of children at summer camp? A Bar graph B Line graph C Circle graph D Stem-and-leaf plot 70. The stem-and-leaf diagram shows the number of school bus riders during May. Find the median of the data. Stem 1 Leaf A 1 C 1 B 1 D A 7 C B 5 D 1 6. In a survey of 100 people, 5 said their favorite amusement park ride is the roller coaster. Susi is making a circle graph of the results. What fraction of the graph should she make the roller coaster sector? A 1 B 1 C 5 D The following represent amounts Thom earned babysitting. $17 $0 $17 $ $ $ What is Thom s mean income? A $17 B $1 C $ D $ 11

12 Data Analysis and Probability (continued) 7. Each set of data below gives the heights of trees, in feet. For which set of data does the median give a better indication of the typical height than the mean? A 1, 6, 5, 1 B 15, 1, 11, C 19, 16,, Identify the sampling method: A person asks those entering a mall about their favorite beverage. A Random sampling B Responses to a survey C Convenience sampling D Systematic sampling D 6,, 19, Use the following for Questions 7 and 7. To learn what voters think about a tax to build a new gym, you send a questionnaire to parents of sixth-grade students. 7. What is the population being studied? A Sixth-grade students B Parents of sixth-grade students C People who use the gym D Voters in the school district 7. Which question is most fair? A Are you willing to pay extra taxes? B Will you vote for or against the tax for a new gym? C Do you want a new gym? D Will you vote for the tax? 76. Which sample is likely to be unbiased? A Choosing random phone numbers to ask people their preferred cleaning product. B Having a candidate ask voters whom they plan to vote for. C Asking readers to return a survey about their income. D Asking the Spanish club their preferred eating establishment. 77. Mrs. Arnold is planning dinner. She has choices of a main dish: chicken, meatloaf, hamburgers, and fish. She has choices of vegetables: beans and peas. How many different meals could she prepare with one choice of each main dish and vegetable? A 6 C 1 B D 16 11

13 Data Analysis and Probability (continued) 7. There are 6 class officers. How many ways can of these students be selected to serve on a committee? A 60 C 15 B 0 D 1 Use the spinner for Questions red green red blue red yellow 79. You spin the spinner once. Find P (not red).. Suzanne got 1 hits in her first 1 times at bat. She expects to bat times in today s game. How many hits should she get? A None B 1 hit C hits D hits Use the following for Questions and. The letters of the word MIDDLE are placed in a bag. You draw two letters without looking.. What is the probability both letters drawn are D? A B 1 C 5 D 0. You spin the spinner once. Find P (red). A 7.5% C 6.5% B 50% D 75% 1. You spin the spinner twice. Find P (red, red). A B C 1 D A 1 15 B 1 9 C 15 D. Which best describes the events of drawing two Ds from the bag? A Dependent events B Independent events C Mutually exclusive events D Complementary events 115

14 Problem Solving 5. The fruit market has peaches for $1.9 per pound and apples for $1.9 per pound. What is the total cost of pounds of peaches and pounds of apples? A $5.16 B $5.96 C $.1 D $.5 6. Movie tickets cost $5.00 for children and $.00 for adults. On Thursday, the movie theater sold 110 tickets and collected $0. How many childrens tickets were sold?. Kira and Joe are playing a game. They toss plastic chips which are red on one side and blue on the other side. If exactly chips turn up red, Joe gets a point. Otherwise, Kira gets a point. Make a list of all possible outcomes and use it to explain why the game is or is not fair. RRR RRB RBB A The game is not fair because only out of possible outcomes have exactly red. B The game is not fair because only 1 out of possible outcomes have exactly red. A 90 tickets B 5 tickets C 0 tickets D 10 tickets 7. Al played a game and finished with 6 points. During the game he earned 00 points, lost 50 points, earned 15 points, lost 5 points, and lost 10 points. How many points did Al have at the beginning of the game? A 16 C B 0 D 17 C The game is fair because out of possible outcomes have exactly red. D The game is fair because out of possible outcomes have exactly red. 9. It is normal to leave a 15% to 0% tip in a restaurant. Which of the following is the only reasonable tip to leave on a $6.55 bill? A $.66 C $1.00 B $.00 D $