Test Bank for A Survey of Mathematics with Applications 8th Edition by Angel Abbott and Runde Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) An electric pole 16 ft high casts a shadow that is 8.0 ft long. What is the length of the shadow of a 24-ft pole? A) 12.0 ft B) 2 ft C) 9.0 ft D) 15.0 ft 1) Complete the magic (addition) square. 2) Use each number 22, 23, 24, 25, 26, 27, 28, 29, and 30 once. 2) 25 24 26 29 22 27 A) B) 25 28 30 24 26 23 29 22 27 25 30 23 24 26 28 29 22 27 C) D) 25 30 28 24 26 23 29 22 27 25 28 23 24 26 30 29 22 27 1
Draw the next figure in the pattern. 3) 3) A) B) C) D) Solve the problem. 4) An airport parking lot charges $5.50 for the first two hours of parking and $1.00 for each additional half hour or part thereof. If Sam parks his car for 8 hours, how much does he pay for parking? A) $12.00 B) $17.50 C) $16.00 D) $11.50 4) Use inductive reasoning to predict the next line in the pattern. 5) (1 9) - 4 = 5 (21 9) - 4 = 185 (321 9) - 4 = 2885 A) (4321 9) - 4 = 28,885 B) (432 9) - 4 = 38,885 C) (4321 9) - 4 = 3884 D) (4321 9) - 4 = 38,885 5) 2
Complete the magic (addition) square. 6) Use each number 19, 20, 21, 22, 23, 24, 25, 26, and 27 once. 6) 24 23 21 20 27 A) B) 24 19 26 25 23 21 20 27 22 24 19 25 26 23 21 20 27 22 C) D) 24 22 25 26 23 21 20 27 19 24 22 26 25 23 21 20 27 19 Solve the problem. 7) A yardstick measures 1 2 by 2 by 36 inches. How many yardsticks will fit in a box 2 inches wide and 7) 36 inches high, if the girth of the box is 24 inches? A) 40 yardsticks B) 60 yardsticks C) 48 yardsticks D) 10 yardsticks 8) The height of the antenna on top of the building, shown in the figure below, is 73 feet. Estimate the total height of the building and antenna together. 8) A) 511 feet B) 584 feet C) 365 feet D) 438 feet 3
9) Estimate the maximum number of smaller figures (at left) that can be placed in the larger figure (at right) without the small figures overlapping. 9) A) 20 B) 17 C) 15 D) 24 Draw the next figure in the pattern. 10) 10) A) B) C) D) Estimate the answer to the problem. 11) One cook can make enough food for 350 people a night. How many cooks are needed to feed 838 people a night? A) 4 cooks B) 2 cooks C) 3 cooks D) 5 cooks 11) Use inductive reasoning to predict the next line in the pattern. 12) 8 9 = 10 11 - (8 + 9 + 10 + 11) 9 10 = 11 12 - (9 + 10 + 11 + 12) A) 10 11 = 12 13 - (8 + 9 + 10 + 11 + 12 + 13) B) 11 12 = 13 14 - (11 + 12 + 13 + 14) C) 11 12 = 13 14 - (10 + 9 + 8 + 7) D) 10 11 = 12 13 - (10 + 11 + 12 + 13) 12) 4
Use the table or graph to answer the question. 13) A company decides the bonus it gives to its employees on the basis of the number of years of service as shown in the following table: 13) Number of years of service Bonus 1-3 5% of salary 3-8 8% of salary 8-15 12% of salary 15 or more 18% of salary If Anne gets a bonus of $4080 after working 4 years for this company, what is her salary? A) $10,200 B) $25,500 C) $51,000 D) $40,800 Solve the problem. 14) How many cubes (of any size) are there in the figure? 14) A) 9 B) 14 C) 10 D) 15 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem using inductive reasoning. 15) How many rectangles are there in the last two figures? 15) Answer: 6 + 5 + 4 + 3 + 2 + 1 = 21 rectangles 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 55 rectangles Diff: 0 Type: SA 5
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Estimate the answer from the table or graph. 16) The number of calories in different food items are given below. 16) Food item Calories Glass of milk 170 Bowl of cereal 110 Slice of bread 75 Fruit bowl 60 Serving of salad 30 If Jeanne had a serving of salad and two slices of bread for lunch, what was her calorie intake? A) 105 calories B) 180 calories C) 135 calories D) 210 calories Solve the problem. 17) An average newspaper contains at least 16 pages and at most 87 pages. How many newspapers must be collected to be certain that at least two newspapers have the same number of pages? A) 70 newspapers B) 71 newspapers C) 72 newspapers D) 73 newspapers 17) Estimate the answer from the table or graph. 18) The profit earnings for XYZ company are reported quarterly. The earnings as a percentage of the yearly earnings for 1995 are shown in the pie chart. If the earnings in the first quarter were $54,000, what were the earnings for the whole year? 18) A) $216,000 B) $27,000 C) $108,000 D) $270,000 Estimate the answer by rounding. 19) 932-676 19) A) 1600 B) 300 C) 256 D) 200 6
Solve the problem. 20) A small farm field is a square measuring 350 ft on a side. What is the perimeter of the field? If you double the length of each side of the field, what is the new perimeter? A) 350 ft, 1400 ft B) 1400 ft, 2800 ft C) 700 ft, 2800 ft D) 700 ft, 1400 ft 21) An average library contains at least 50 and at most 250 books. How many library owners must be polled to be certain that at least two owners have the same number of books in their libraries? A) 201 owners B) 202 owners C) 200 owners D) 203 owners 22) A boxer takes 3 drinks of water between each round for the first four rounds of a championship fight. After the fourth round he starts to take his three drinks plus one additional drink between each of the remaining rounds. If he continues to increase his drinks by 1 after each round, how many drinks will he take between the 14th and 15th round? A) 12 drinks B) 15 drinks C) 14 drinks D) 18 drinks 20) 21) 22) Complete the magic (addition) square. 23) Use each number 12, 13, 14, 15, 16, 17, 18, 19, and 20 once. 23) 19 15 12 16 18 13 A) B) 19 14 15 12 16 20 17 18 13 19 17 15 12 16 14 20 18 13 C) D) 19 14 15 12 16 17 20 18 13 19 20 15 12 16 14 17 18 13 7
Solve the problem. 24) How many triangles (of any size) are there in the figure? 24) A) 10 B) 9 C) 12 D) 14 Estimate the answer to the problem. 25) An appliance store sells 16 refrigerators a week. Without finding the exact amount, calculate the total amount of money the store makes in a week if each refrigerator costs $638. A) $6000 B) $14,000 C) $12,000 D) $7000 25) Complete the magic (addition) square. 26) Use each number 48, 49, 50, 51, 52, 53, 54, 55, and 56 once. 26) 49 53 48 51 50 A) B) 49 54 53 55 52 48 51 50 56 49 55 53 56 54 48 51 50 52 C) D) 49 55 53 56 52 48 51 50 54 49 54 53 56 52 48 51 50 55 Estimate the answer to the problem. 27) A mobile library has 1056 books in its collection. If there are 22 shelves in the library, then how many books, on average, are stacked on each shelf? A) 55 books B) 50 books C) 46 books D) 60 books 27) 8
Draw the next figure in the pattern. 28) 28) A) B) C) D) Estimate the answer by rounding. 29) 34,313 457 29) A) 500 B) 50 C) 600 D) 60 Use inductive reasoning to predict the next number in the sequence. 30) 1, 5, 2, 10, 4, 20,... 30) A) 30 B) 40 C) 8 D) 6 Estimate the answer to the problem. 31) Each gallon of shingle stain covers 120 square feet. How many gallons should you buy to cover 892 square feet? A) 7 gal B) 9 gal C) 8 gal D) 6 gal 31) Solve the problem using inductive reasoning. 32) Find the 7th triangular number that corresponds to the following dot sequence. 32) A) t7 = 28 B) t7 = 21 C) t7 = 24.5 D) t7 = 56 Estimate the answer by rounding. 33) 923-558 33) A) 400 B) 365 C) 300 D) 360 9
Use the table or graph to answer the question. 34) Company MRK declared profits of $3,000,000 for the year 1999. The profits were from its three groups (research, product, and consulting) as shown in the pie chart. The profits from the product group were further categorized as shown in the second pie chart. How much was the profit from appliances? 34) A) $900,000 B) $450,000 C) $360,000 D) $600,000 Use inductive reasoning to predict the next line in the pattern. 35) (5 1) (2 1) = 10 (5 10) (2 2) = 200 (5 100) (2 3) = 3000 A) (5 1000) (2 4) = 4000 B) (5 1000) (2 4) = 35,000 C) (5 1000) (2 4) = 45,000 D) (5 1000) (2 4) = 40,000 35) Draw the next figure in the pattern. 36) 36) A) B) C) D) 10
Solve the problem. 37) A cell has at least 3 and at most 47 nucleii. How many cells must a scientist view under his microscope to be certain that at least two cells have the same number of nucleii? A) 44 cells B) 46 cells C) 45 cells D) 47 cells 38) Below is a map of a trail through a forest preserve. Using the scale on the map, estimate the distance of the route starting at the fishing dock and ending at the ranger station. 37) 38) 0 5 kilometers A) 35 km B) 40 km C) 20 km D) 25 km Complete the magic (addition) square. 39) Use each number 5, 6, 7, 8, 9, 10, 11, 12, and 13 once. 39) 8 6 9 11 5 A) B) 8 13 6 7 9 11 10 5 12 8 13 6 7 9 11 12 5 10 C) D) 8 10 6 7 9 11 12 5 13 8 12 6 7 9 11 10 5 13 11
Estimate the answer to the problem. 40) A particular freight elevator can safely carry 1093 pounds. How many 114-pound bundles of wood can be safely carried by this elevator? A) 8 bundles B) 7 bundles C) 9 bundles D) 5 bundles 40) Solve the problem using inductive reasoning. 41) The following graph shows the average monthly cost for satellite television for each year from 2000 through 2007. 41) Assuming the trend continues, use the graph to predict the average monthly cost for satellite TV in 2008. Round your answer to the nearest dollar. A) $55 B) $56 C) $53 D) $58 Solve the problem. 42) Estimate the percent of area that is shaded in the following figure. 42) A) 50% B) 40% C) 25% D) 80% 12
Use inductive reasoning to predict the next line in the pattern. 43) 18 + 81 = 99 19 + 91 = 110 A) 20 + 101 = 121 B) 20 + 101 = 162 C) 88 + 33 = 121 D) 101 + 20 = 121 43) Solve the problem. 44) How many triangles (of any size) are there in the figure? 44) A) 15 B) 16 C) 19 D) 13 Estimate the answer by rounding. 45) 84-18 45) A) 60 B) 66 C) 100 D) 70 46) 453 + 158 + 204 + 555 + 361 46) A) 1731 B) 1900 C) 1700 D) 1730 Estimate the answer to the problem. 47) Each gallon of porch and deck paint covers 200 square feet. How many gallons are needed to cover 784 square feet? A) 4 gal B) 3 gal C) 5 gal D) 2 gal 47) 13
Solve the problem. 48) If each square represents one square unit, estimate the area of the shaded figure in square units. 48) A) 6 square units B) 8 square units C) 7 square units D) 10 square units Solve the problem using inductive reasoning. 49) Find the 12th square number that corresponds to the following dot sequence. 49) A) s12 = 169 B) s12 = 78 C) s12 = 144 D) s12 = 24 Solve the problem. 50) To make orange juice from concentrate powder, you need to mix 2.5 teaspoons of the concentrate in 8 ounces of water. How much concentrate powder do you need for 1 gallon of water? A) 20 teaspoons B) 12.5 teaspoons C) 5 teaspoons D) 40 teaspoons 50) Use the table or graph to answer the question. 51) Amy graphed her utility bills for the last year for her records. Estimate the total amount Amy paid for her utilities for the month of July. 51) A) $145 B) $125 C) $95 D) $105 14
Solve the problem. 52) Sally and Bill work at different jobs. Sally earns $6 per hour and Bill earns $3 per hour. They each earn the same amount per week but Bill works 3 more hours. How many hours a week does Bill work? A) 12 hr B) 6 hr C) 9 hr D) 3 hr 52) Estimate the answer from the table or graph. 53) In a shop that sells a variety of nuts, the prices of some items are as given below. 53) Item Cost/lb Almonds $4.20 Walnuts $4.10 Cashews $4.60 Pecans $3.60 Raisins $2.90 If Sarah buys 2 lb of cashews, 1 lb of walnuts, and 2 lb of raisins, how much did she have to pay? A) $19.10 B) $23.20 C) $15.00 D) $26.10 Use inductive reasoning to predict the next number in the sequence. 54) 3, 10, 17, 24, 31 54) A) 38 B) 37 C) 45 D) 34 Estimate the answer to the problem. 55) Jane runs 24 miles a day. Without finding the exact answer, estimate the total number of miles Jane runs in 77 days. A) 2400 mi B) 5600 mi C) 1400 mi D) 1600 mi 55) 15
Estimate the answer from the table or graph. 56) The profit earnings for ABC company are reported quarterly. The earnings as a percentage of the yearly earnings for 1992 are shown in the pie chart. If the total earnings for the year were $450,000, what were the earnings for the third quarter? 56) A) $225,000 B) $180,000 C) $112,500 D) $90,000 Estimate the answer by rounding. 57) 32,353 477 A) 600 B) 500 C) 50 D) 60 57) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem using inductive reasoning. 58) How many line segments are determined by joining dots on the last two circles? 58) Answer: 4 + 3 + 2 + 1 = 10 segments 6 + 5 + 4 + 3 + 2 + 1 = 21 segments Diff: 0 Type: SA MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 59) One gallon of a driveway sealant covers an area of 190 ft2. How many gallons of the sealant are needed to cover a 760 ft2 driveway? A) 1 gal B) 6 gal C) 7 gal D) 4 gal 59) 16
60) Margaret is saving $25 every week so that she can have enough money to buy a bracelet she wants. The bracelet costs $753. What is the minimum number of weeks she will have to save to be able to buy the bracelet? A) 31 weeks B) 29 weeks C) 30 weeks D) 32 weeks 61) A telephone call from Texas, U.S.A. to Ontario, Canada costs $2.00 for the first minute and $0.58 for each additional minute. How much will a 27-minute call cost? A) $15.08 B) $15.66 C) $17.08 D) $32.16 60) 61) Estimate the answer to the problem. 62) Ingred is planning a vacation to Colorado. Her round-trip airfare from Chicago, Illinois, to Denver, Colorado, totals $173. Car rental is $38 per day and her hotel is a total of $82 per day, and she estimates a total of $50 per day for food, gas, and miscellaneous items. If Ingred is planning on staying three full days and nights, estimate her total expenses. A) $340 B) $680 C) $870 D) $720 62) Use the table or graph to answer the question. 63) The following chart shows an appliance store's average percent profit margin on certain items: 63) Product category Average profit margin,% Washer/Dryer 18 Refrigerator 16 Stove 19 Microwave 33 What is the average profit for the store if it lists the price of a particular refrigerator at $830? A) $114.48 B) $132.80 C) $547.80 D) $273.90 Solve the problem using inductive reasoning. 64) How many triangles are in the next figure? 64) A) 18 B) 16 C) 12 D) 36 17
65) How many line segments are used in the next figure? 65) A) 24 B) 27 C) 36 D) 30 Solve the problem. 66) A rectangle has area of 1176 square meters. Its length and width are whole numbers. Which measurements give the smallest perimeter? A) 7 m by 168 m B) 28 m by 42 m C) 1 m by 1176 m D) 6 m by 196 m 66) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem using inductive reasoning. 67) In how many ways can you exactly cover the last two diagrams with "dominoes" that are just the size of two small squares? 67) Answer: 8 ways 34 ways Diff: 0 Type: SA MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 68) Find the next term in the following sequence. F, S, S, M, T A) W B) S C) T D) F 68) 18
Solve the problem. 69) A yardstick measures 1 4 by 3 by 36 inches. How many yard sticks will fit in a box 3 inches wide and 69) 36 inches high, if the girth of the box is 30 inches? A) 12 yardsticks B) 24 yardsticks C) 120 yardsticks D) 96 yardsticks Estimate the answer to the problem. 70) David's company has to ship 4796 boxes of sprinklers. If a truck can hold 550 boxes, how many trucks does he need to ship all the boxes? A) 9 trucks B) 7 trucks C) 8 trucks D) 10 trucks 70) Estimate the answer from the table or graph. 71) The number of students at Alder High School who studied foreign languages in different years is shown in the bar graph. What is the total number of students who studied a foreign language in 2002? (Assume no student studied two foreign languages). 71) A) 160 students B) 140 students C) 80 students D) 120 students Solve the problem using inductive reasoning. 72) Find the next term in the following sequence. T, F, S, E, T, T, F A) T B) S C) E D) F 72) 19
Draw the next figure in the pattern. 73) 73) A) B) C) D) Use inductive reasoning to predict the next number in the sequence. 74) 1, - 1 2, 1 4, - 1 8, 1,... 74) 16 A) - 1 64 B) 1 64 C) - 1 32 D) 1 32 Estimate the answer from the table or graph. 75) The probability of finding apples, oranges, and pears in each of baskets A, B, C, D, and E is shown in the graph given below. What is the probability of finding apples in one of the baskets A, B, or C? 75) A) 0.45 B) None C) 1 D) 0.47 20
76) A retail store has items such that they fall under the categories of clothes, housewares, jewelry, and other. The percentage floor space allocated for displaying each category of items is shown in the pie chart. If the floor space allocated to clothes is 23,000 ft2, what is the floor space allocated to jewelry? 76) A) 11,500 ft2 B) 5750 ft2 C) 46,000 ft2 D) 69,000 ft2 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem using inductive reasoning. 77) Find the number of games played in a round robin tournament for the given numbers of teams. In a round robin tournament every team plays every other team once. 77) Number of teams Number of games played 3 teams 3 games 4 teams 6 games 5 teams 10 games 6 teams games 7 teams games Look for a pattern. Find the number of games played in a round robin tournament involving n teams. Find the number of games played in a round robin tournament involving 14 teams. Answer: 6 teams: 5 + 4 + 3 + 2 + 1 = 15 games 7 teams: 6 + 5 + 4 + 3 + 2 + 1 + = 21 games n(n - 1) n teams : games 2 Diff: 0 14 teams: 91 games Type: SA MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Estimate the answer by rounding. 78) 84 + 89 + 56 + 62 + 74 78) A) 360 B) 365 C) 400 D) 370 21
Solve the problem. 79) Jill took five courses this semester, each for four credit hours. She received a B (3 points), a B+ (3.5 points), an A (4 points), and a B+ (3.5 points) in four of the courses. If her GPA is 3.2, what was her grade in the fifth course? A) D (1 point) B) B+ (3.5 points) C) C (2 points) D) C+ (2.5 points) 79) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem using inductive reasoning. 80) How many rectangles are there in the last two figures? 80) Answer: 5 + 4 + 3 + 2 + 1 = 15 rectangles 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 36 rectangles Diff: 0 Type: SA MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Estimate the answer by rounding. 81) 129 6879 81) A) 600,000 B) 700,000 C) 140,000 D) 1,200,000 Use inductive reasoning to predict the next number in the sequence. 82) 0, 2, 2, 0, -2,... 82) A) 4 B) -2 C) 2 D) 0 22
Complete the magic (addition) square. 83) Use each number 20, 21, 22, 23, 24, 25, 26, 27, and 28 once. 83) 22 23 24 28 21 A) B) 27 22 23 20 24 28 25 26 21 26 22 23 20 24 28 25 27 21 C) D) 27 22 23 26 24 28 20 25 21 25 22 23 20 24 28 27 26 21 Solve the problem. 84) The cost of gasoline is $1.36 per gallon. Jane's car gives a mileage of 37 miles per gallon. Approximately how much did Jane pay for gasoline for a trip of 630 miles? A) $23.12 B) $25.84 C) $28.56 D) $21.76 84) Estimate the answer from the table or graph. 85) A retail chain has three stores that are carrying various sizes of a particular dress. The number of pieces of each size that a store has is shown in the graph below. If Store 1 sold 32 pieces of the large (L) size, how many does it still have? 85) A) 1146 pieces B) 168 pieces C) 88 pieces D) 118 pieces 23
Use inductive reasoning to predict the next line in the pattern. 86) 10 12 = 11 13-23 12 14 = 13 15-27 A) 14 16 = 15 17-29 B) 14 16 = 15 17-31 C) 14 16 = 17 27-31 D) 14 16 = 15 17 + 29 86) Use inductive reasoning to predict the next number in the sequence. 87) 7, -14, 28, -56, 112 87) A) 224 B) -224 C) 168 D) -168 Use inductive reasoning to predict the next line in the pattern. 88) 6 6 = 36 66 66 = 4356 666 666 = 443,556 A) 6666 6666 = 44,435,556 B) 6666 6666 = 445,556 C) 6666 6666 = 444,556 D) 666 6666 = 44,435,556 88) Use inductive reasoning to predict the next number in the sequence. 89) 21, 18, 15, 12, 9 89) A) 3 B) 6 C) 2 D) 0 Draw the next figure in the pattern. 90) 90) A) B) C) D) 24
91) 91) A) B) C) D) Estimate the answer from the table or graph. 92) The graph shows the average monthly cost of a wireless phone service for the years 2000 through 2007. Estimate the average monthly cost of this wireless phone service in 2007. 92) A) $55 B) $65 C) $50 D) $60 Use the table or graph to answer the question. 93) The number of vacation days a company provides for its employees depends on the number of years of service as shown in the following table: 93) Number of years of service 1 1-5 5-10 10 and more Number of vacation days 5 9 13 20 If Jack took 15 vacation days last year, what is the minimum number of years he must have worked for the company? A) 11 B) 10 C) 9 D) 8 25
Use inductive reasoning to predict the next line in the pattern. 94) 70-9 = 61 700-89 = 611 7000-789 = 6211 A) 70,000-6789 = 63,211 B) 70,000-6789 = 693,211 C) 7000-6789 = 63,211 D) 700,000-6789 = 63,211 94) Estimate the answer to the problem. 95) James' drive from home to work is 30.3 miles one way. If in a month he goes to work 22 days, then how many miles does he drive going from home to work and back in one month? A) 1200 mi B) 1750 mi C) 900 mi D) 1500 mi 95) 26