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MTH 231 Practice Test SKILL Problems (Sections 6.1-6.5,7.1-7.3) NOTE: Modeling problems are NOT represented in this set of exercises. Refer to class notes for examples. Use the figures to answer the question. Write the fraction that represents the shaded area. 1) A) 1 7 B) 7 4 C) 3 4 D) 7 8 A) 3 4 B) 3 1 C) 1 3 D) 1 4 2) 5) What fraction of figure 4 is shaded? 1 2 4 B) C) A) 3 5 5 D) 2 10 D) 1 2 3) 6) What fraction of figure 9 is shaded? 1 2 1 A) B) C) 4 3 3 A) 5 3 B) 1 5 C) 5 1 D) 5 6 7) Name the figure which is a fraction strip 1 depicting . 4 A) Figure 1 B) Figure 2 C) Figure 3 D) None of the above 4) 7 A) 1 7 B) 4 7 C) 8 8) Name the figure which is a fraction strip 1 depicting . 3 1 D) 7 A) Figure 7 B) Figure 11 C) Figure 10 D) None of the above Find the requested fraction. 11 ? 9) = 6 12 1 A) 11 12 B) 132 72 C) 22 12 D) 66 12 10) 7 14 = 10 ? 18) A) 98 140 B) 14 20 C) 14 70 D) 14 10 11) An equivalent fraction to the fraction A) 0.964 C) 0.884 24 72 B) 32 99 C) 4 would 11 28 77 D) A) 0.888888 . . . C) 0.177777 . . . 35 84 20) ? 12) = 8 16 C) - 144 128 -9 16 B) D) - 72 21) 16 - 18 -4 C) 90 - 32 72 B) D) 9 - 40 80 15) A) 70 D) 1 80 1 55 B) 11 10 C) 11 2 D) 11 B) 0.02 D) 0.2 A) 7 1000 B) 7 500 C) 1 7 D) 7 250 25) 0.0005 B) 0.515 D) 0.615 11 20 A) 0.45 C) 0.55 17) B) 0.066666 . . . D) 0.181818 . . . 24) 0.014 5 8 A) 0.625 C) 0.715 16) 2 11 23) 5.50 - 28 Write the fraction as a terminating decimal. 1 14) 5 A) 2 C) 0.1 B) 0.059090 . . . D) 0.039393 . . . Write the decimal as a fraction in lowest terms. 22) 0.8 4 8 4 A) B) C) 25 5 5 would be: - 36 13 66 A) 0.363636 . . . C) 0.022222 . . . 16 13) An equivalent fraction to the fraction A) B) 0.727272 . . . D) 0.266666 . . . A) 0.196969 . . . C) 0.019696 . . . -9 A) B) 0.814 D) 0.864 Write the decimal representing the given rational number. 8 19) 9 be: A) 108 125 1 1000 B) 1 4000 C) 1 2000 D) 1 200 Write the decimal in the form indicated. 26) 2.78; expanded form 8 7 8 7 B) 2 + + A) 2 + + 100 1000 10 100 B) 0.6 D) 0.65 29 40 A) 0.685 C) 0.735 A) C) B) 0.625 D) 0.725 2 2 7 8 + + 10 100 1000 D) 2 + 78 100 34) Mr. Rivera opened a package of 150 drinking cups for his restaurant. During the day, 97 cups were used. What fraction of the package of cups was used? Express the result using a simple, convenient fraction that is close in value to the exact answer. 1 2 3 3 A) B) C) D) 2 3 4 5 27) 261.09; expanded exponential form A) 2 · 102 + 6 · 101 + 1 · 100 + 0 · 10-1 + 9 · 10-2 B) 2 · 103 + 6 · 102 + 1 · 101 + 0 · 100 + 9 · 10-1 C) 2 · 10-2 + 6 · 10-1 + 1 · 100 + 0 · 101 + 9 · 102 D) 2 · 103 + 6 · 102 + 1 · 101 + 0 · 10-1 + 9 · 10-2 28) 9.003812; expanded exponential form A) 9 · 101 + 0 · 100 + 0 · 10-1 + 3 · 10-2 + 8 · 10-3 + 1 · 10-4 + 2 · 10-5 B) 9 · 100 + 0 · 101 + 0 · 102 + 3 · 103 Write in the requested form. NOTE: On test, be prepared to draw an illustration. 25 ; mixed number 35) 3 + 8 · 104 + 1 · 105 + 2 · 106 C) 9 · 100 + 0 · 10-1 + 0 · 10-2 + 3 · 10-3 + 8 · 10-4 + 1 · 10-5 + 2 · 10-6 A) 8 D) 9 · 100 + 3 · 10-1 + 8 · 10-2 + 1 · 10-3 + 2 · 10-4 36) Write the number in scientific notation. 29) 0.000209 A) 2.09 × 10- 5 B) 2.09 × 104 C) 2.09 × 10- 3 A) 8 D) 2.09 × 10- 4 C) 8.9 × 1010 31) 7,600,000,000,000 A) 7.6 × 10- 9 C) 7.6 × 109 B) 8.9 × 10- 10 D) 8.9 × 10- 9 B) 7.6 × 1012 D) 7.6 × 10- 12 D) 9 1 3 3 7 B) 9 3 5 C) 8 3 5 D) 7 3 5 A) -4 5 8 B) -5 5 7 C) -5 5 8 D) -6 5 8 A) 2 D) hr 5 D) 1 7 43 5 B) 43 3 C) 40 5 D) 40 3 B) 16 8 C) 23 8 D) 23 7 7 39) 2 ; fraction 8 16 7 Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer ʺEquivalentʺ. 1 12 40) - , - 2 17 33) For lunch, Jamie bought a 8-inch submarine sandwich. What fraction of a foot was Jamieʹs sandwich? (1 foot = 12 inches) 5 7 ft B) ft A) 12 12 5 ft 6 C) 7 3 38) 8 ; fraction 5 Solve the problem. 32) Julia preheated her oven for 19 minutes. What fraction of an hour was this? (1 hour = 60 min) 7 19 hr B) hr A) 20 60 C) 1 3 45 ; mixed number 8 A) 3 hr C) 10 B) 8 43 ; mixed number 5 37) - 30) 89,000,000,000 A) 8.9 × 109 1 2 A) - 2 ft 3 12 1 , - 17 2 1 12 B) - , - 2 17 C) Equivalent 3 41) - 1 1 , - 15 7 4 5 A) 2 , 2 , 2.25, 2.52 9 8 1 1 B) - , - 7 15 5 4 B) 2.25, 2 , 2.52, 2 8 9 C) Equivalent 4 5 C) 2.25, 2.52, 2 , 2 9 8 A) - 42) 3 10 8 , , 4 13 11 A) 43) 5 4 48) 2.25, 2 , 2.52, 2 8 9 1 1 , - 15 7 5 4 D) 2 , 2.52, 2 , 2.25 8 9 10 8 3 , , 13 11 4 49) 0.5866, 0.586, 0.58666, 0.586 8 3 10 B) , , 11 4 13 A) 0.586, 0.58666, 0.5866, 0.586 3 8 10 C) , , 4 11 13 C) 0.586, 0.586, 0.5866, 0.58666 B) 0.586, 0.586, 0.5866, 0.58666 D) 0.586, 0.5866, 0.58666, 0.586 7 2 9 , , 22 5 24 A) 2 7 9 , , 5 22 24 B) 7 9 2 , , 22 24 5 Find the mixed number or rational fraction in lowest terms represented by the repeating decimal. 50) 0.11111 . . . 10 10 A) B) 99 999 C) 9 2 7 C) , , 24 5 22 51) 0.323232 . . . 320 A) 99 Write the numbers in order of increasing size. 44) 0.08, 0.01, 0.018, 0.081 A) 0.01, 0.08, 0.018, 0.081 B) 0.081, 0.018, 0.08, 0.01 C) 0.018, 0.081, 0.01, 0.08 D) 0.01, 0.018, 0.08, 0.081 C) 32 99 52) 0.814814 . . . 220 A) 27 45) 2.954, 2.549, 2.594, 2.459 A) 2.459, 2.594, 2.549, 2.954 B) 2.954, 2.549, 2.594, 2.459 C) 2.459, 2.549, 2.594, 2.954 D) 2.954, 2.594, 2.549, 2.459 C) 22 27 53) 1.363636 . . . 4 A) 1 11 46) 2.09, 2.9, 2.099, 2.999 A) 2.999, 2.9, 2.099, 2.09 B) 2.09, 2.099, 2.9, 2.999 C) 2.099, 2.09, 2.999, 2.9 D) 2.09, 2.9, 2.099, 2.999 C) 2 1 3 , , , 0.95 3 2 4 B) 1 2 3 , , , 0.95 2 3 4 3 2 1 C) 0.95, , , 4 3 2 D) 3 2 1 , , , 0.95 4 3 2 5 37 D) 1 9 B) 320 999 D) 32 999 B) 740 9 D) 74 9 B) 13 D) 1 7 11 13 37 Write the number in scientific notation. 54) 82,000 A) 8.2 × 10-4 B) 8.2 × 104 1 3 2 47) , , , 0.95 2 4 3 A) 1 99 C) 8.2 × 105 4 D) 8.2 × 10-5 55) 6,500,000 A) 6.5 × 10-7 C) 6.5 × 10-6 B) 6.5 × 106 D) 6.5 × 107 56) 0.000294 A) 2.94 × 10-5 C) 2.94 × 104 B) 2.94 × 10-3 D) 2.94 × 10-4 57) 0.000005579 A) 5.579 × 10-6 C) 5.579 × 10-7 B) 5.579 × 10-5 D) 5.579 × 106 68) 14 minutes to 5 hours A) 7 : 150 C) 14 : 60 B) 168 D) 14 : 5 69) 19 hours to 72 days A) 19 : 3 C) 3 : 19 B) 1 : 152 D) 19 : 1728 A) 9 : 2 C) 1 : 7 B) 225.9 D) 753 59) 1.91 × 10-4 A) 0.000191 C) 0.0000191 B) -191,000 D) 0.00191 60) 4.296 × 10-5 A) 0.00004296 C) 0.000004296 B) -429,600 D) 0.0004296 61) 1.981 × 10-6 A) 0.0000001981 C) 0.00001981 B) 0.000001981 D) -1,981,000 Express the ratio in simplest form. 62) 28 cents to 91 cents A) 1 : 13 C) 13 : 4 B) 7 : 80 D) 21 : 20 1 70) 4 days to 4 weeks 2 Convert to standard notation. 58) 7.53 × 103 A) 75,300 C) 7530 67) 7 feet to 80 inches A) 7 : 960 C) 80 : 7 Solve the problem. 71) The fuel for a gas snowblower consists of 1.7 parts oil to 30.6 parts gas. Determine the ratio of oil to gas in simplest form. A) 1 : 19 B) 1 : 18 C) 18 : 1 D) 17 : 1 72) The ratio of staff to patients at Lakeview is 8 to 7. If total staff plus patients is 1575 people, how many staff are at Lakeview? A) 735 B) 945 C) 840 D) 630 73) Carl wants to make some furniture stripper. The stripper is a mixture of chemicals A and B in the ratio of 10 to 2. How many ounces of chemical A are needed to make 24 ounces of stripper? A) 20 B) 18 C) 22 D) 4 B) 4 : 13 D) 27 : 91 63) $24 to $112 A) 8 : 8 C) 112 : 24 B) 24 : 14 D) 3 : 14 64) 27 people to 12 people A) 5 : 10 C) 9 : 4 B) 4 : 9 D) 10 : 5 B) 9 : 56 D) 9 : 4 74) May planted 156 tulip bulbs in 6 hours and June planted 120 in 5 hours. Compare the ratios. Which person planted the most per hour? How many per hour? B) May, 24 A) June, 26 D) May, 26 C) June, 24 75) The trim for a costume costs $38.25 for 4.5 yd. Find the unit price in dollars per yard. A) $76.50 per yd B) $33.75 per yd C) $8.50 per yd D) $42.75 per yd 65) The ratio of wins to games played if a baseball team wins 35 games and loses 55 games A) 7 : 11 B) 11 : 18 C) 11 : 7 D) 7 : 18 76) A 2-lb package of ground beef costs $3.18. What is the unit price in cents per ounce? Round to the nearest hundredth of a cent. B) 1.59 cents per oz A) 9.06 cents per oz C) 1.18 cents per oz D) 9.94 cents per oz 66) The ratio of all members to women members in a club whose members are 14 men and 26 women A) 7 : 13 B) 20 : 13 C) 20 : 7 D) 13 : 7 5 77) Find the best buy. 84) Brand X 16 oz for $6.08 Brand Y 12 oz for $4.32 A) Equal value B) Brand Y C) Not enough information D) Brand X 8.1 5.4 A) x = 7.2; y = 3.9 C) x = 6.3; y = 3.6 78) Find the best buy. Brand A 21 oz for $12.60 Brand B 24 oz for $14.64 A) Brand A B) Not enough information C) Equal value D) Brand B Use a proportion to solve the problem. Round answers to the nearest tenth if necessary. 85) Dr. Wong can see 12 patients in 3 hours. At this rate, how long would it take her to see 84 patients? A) 20 hours B) 36 hours C) 336 hours D) 21 hours Solve the proportion. 11 11.88 = 79) 7.56 y A) 0.06 C) 10.19 80) 81) 86) Maria and Charlie can deliver 66 papers in 2 hours. How long would it take them to deliver 99 papers? A) 3 hr B) 4.5 hr C) 1.3 hr D) 198 hr B) 17.29 D) 7 0.4 a = 0.3 0.8 A) 1.15 C) 0.15 87) A label printer prints 5 pages of labels in 1.7 seconds. How long will it take to print 160 pages of labels? A) 56.4 sec B) 54.4 sec C) 57.4 sec D) 58.4 sec B) 0.6 D) 0.3 9 5 = x x + 8 4 A) 3 B) 2 C) 10 88) In a sample of 70 widgets, 8 were defective. How many defective widgets would you expect in a sample of 350 widgets? A) 43 widgets B) 86 widgets C) 38 widgets D) 40 widgets 4 D) 7 The two triangles below are similar. Find the missing lengths. Use a proportion to solve the problem. 89) On Anneʹs bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. If her rear wheel turns 994 times per mile, how many times does she turn the pedal in one mile? Express your answer as an integer or mixed number. 1 B) 568 times A) 1739 times 2 82) 15 3 5 12 4 B) x = 3 D) x = 12 A) x = 9 C) x = 5 83) C) 998 times 9 12 4 3 5 A) x = 20 C) x = 15 B) x = 6.3; y = 3.9 D) x = 1.24; y = 3.6 B) x = 5 D) x = 16 6 D) 1001 times 90) The ratio of the distances a 7-iron and a 5-iron will drive a golf ball is 5 to 6. If a golfer averages 153 yards with a 7-iron, how far should he average with a 5-iron? Express your answer as an integer or mixed number. 1 A) 142 yards B) 127 yards 2 3 C) 183 yards 5 Find the percent of the figure that is shaded. 94) D) 164 yards 1 91) Under typical conditions, 1 ft of snow will melt 2 to 2 in. of water. To how many inches of water 1 will 3 ft of snow melt? Express your answer as 4 an integer or mixed number. 1 5 B) 6 inches A) 4 inches 2 12 7 C) 4 inches 8 B) 10% D) 0.12% A) 0.7% C) 7% B) 70% D) 60% 95) 1 D) 4 inches 3 Provide an appropriate response. 92) Suppose you want to solve the following problem. A teacher can grade 7 essays in 2 hours. At this rate, how many essays will she be able to grade in 5 hours? Which of the following proportions will give the correct answer? 7 5 2 x 2 5 7 x (i) = (ii) = (iii) = (iv) = 2 x 7 5 7 x 2 5 A) (i) and (iv) C) (ii) and (iv) A) 12% C) 1.2% B) (iii) only D) (i) only 93) Ben drove his car 656 kilometers in 7 hours while he was on vacation in Italy. He was trying to estimate how far he could drive in 6 hours the next day so he set up the following proportion: 656 6 = . Explain why this proportion will not x 7 give him the correct answer. 7 96) Write as a percent. 100) 0.77 A) 770% C) 77% B) 0.077% D) 7.7% 101) 0.595 A) 0.595% C) 0.0595% B) 595% D) 59.5% 102) 8.9 A) 89% C) 0.0089% B) 0.89% D) 890% 103) 8 A) 400% C) 0.08% B) 800% D) 0.8% Write the percent as a fraction in the lowest terms. 104) 27% 27 27 B) A) 50 100 27 20 D) 3 10 A) 437 500 B) 874 100 C) 437 50 D) 437 5 A) 1 200 B) 1 1000 C) 1 4000 D) 1 2000 B) 69 8 D) 69 40 C) 105) 87.4% 106) 0.05% A) 251% C) 51% B) 2.51% D) 25.1% Write the fraction as a percent. 18 97) 20 A) 95% C) 100% 107) 86.25% 69 A) 160 B) 90% D) 80% C) 98) 13 50 A) 26.0% C) 2.60% 99) Write the percent as a decimal. 108) 40% A) 0.04 C) 4 B) 13.00% D) 15.00% 31 50 A) 620% C) 124% 69 80 109) 400% A) 0.4 C) 4.01 B) 62% D) 6.2% 8 B) 0.29 D) 0.4 B) 40 D) 4 110) 505% A) 5.05 C) 50.5 118) At a university, 60% of the students who apply are accepted. Of those who are accepted, 70% actually enroll. If 30,000 students apply, how many actually enroll? A) 17,400 students B) 29,870 students C) 12,600 students D) 28,700 students B) 0.505 D) 5.06 Solve the problem. Round your answer to the nearest tenth of a percent unless otherwise indicated. 111) Sales of frozen pizza for a club fund-raiser increased from 500 one year to 575 the next year. What was the percent of increase? A) 85% B) 87% C) 15% D) 13% 112) Last year, Maria earned $314 per week. This year, her salary increased to $334 per week. What is the percent of increase? A) 6% B) 6.4% C) 94% D) 93.6% 113) The price of a printer was reduced from $400 to $280. What was the percent of decrease? A) 42.9% B) 30% C) 35% D) 70% 114) All 33 of the students in a mathematics class attended class on Monday. On Tuesday only 27 students attended. What was the percent of decrease? A) 77.8% B) 18.2% C) 81.8% D) 22.2% Solve the problem. If the answer is an amount of money, round to the nearest dollar. 115) The Perrones have saved $20,000 for a down payment. If a 18% down payment is required, what price house can they buy? A) $360,000 B) $3600 C) $1111 D) $111,111 116) Alex and Juana went on a 40-mile canoe trip with their class. On the first day they traveled 22 miles. What percent of the total distance did they canoe? A) 2% B) 55% C) 0.55% D) 200% 117) Maria has saved $420 at a bank. She wants to accumulate $1250 to attend computer camp. What percent of her goal has been reached? A) 33.6% B) 30% C) 0.336% D) 3% 9 Answer Key Testname: MTH 231 REVIEW (SECTIONS 6.1‐6.5,7.1‐7.3) 1) B 2) A 3) A 4) B 5) C 6) C 7) B 8) B 9) C 10) B 11) C 12) D 13) C 14) D 15) A 16) C 17) D 18) D 19) A 20) A 21) D 22) C 23) C 24) B 25) C 26) A 27) A 28) C 29) D 30) C 31) B 32) A 33) D 34) B 35) B 36) C 37) C 38) A 39) C 40) A 41) B 42) B 43) B 44) D 45) C 46) B 47) B 48) B 49) D 50) D 51) C 52) C 53) A 54) B 55) B 56) D 57) A 58) C 59) A 60) A 61) B 62) B 63) D 64) C 65) D 66) B 67) D 68) A 69) D 70) B 71) B 72) C 73) A 74) D 75) C 76) D 77) B 78) A 79) D 80) C 81) C 82) A 83) C 84) C 85) D 86) A 87) B 88) D 89) B 90) C 91) D 92) A 93) The proportion is wrong. It 656 x should be = . 7 6 94) A 95) B 96) A 97) B 98) A 99) B 100) C 101) D 102) D 103) B 104) A 10 105) 106) 107) 108) 109) 110) 111) 112) 113) 114) 115) 116) 117) 118) A D C D D A C B B B D B A C