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A collection of math exercises designed to enhance problem-solving skills in various practical scenarios. The exercises cover topics such as unit conversions, fractions, decimals, and basic arithmetic operations. Each exercise includes a clear problem statement, multiple-choice options, and a detailed explanation of the correct answer. This resource is suitable for individuals seeking to improve their mathematical proficiency in real-world applications.
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It takes 4 minutes to complete an administrative task. There are 60 second in 1 minute. How many seconds does it take to complete the same task? A. 24 seconds B. 240 seconds C. 244 secretion D. 420 seconds - Answer-B. 240 seconds Explanation: 4 x 60 = 240 A bread machine produces 159 loaves per hour. The machine operates 10 hours per day. How many loaves of bread does it produce per day? _________ loaves - Answer- 159 x 10. = 1590 You have 7 people in your group. If you each worked 38 hours during last week, how many total hours were worked by the group? _________ hours - Answer-7 x 38 = 266 hours One yard = three feet. A carpenter has a piece of wood that is 10 yards long. How many feet of wood does the carpenter have? ______ ft - Answer-3 ft x 10 yards = 30 ft There are 60 seconds in a minute, how many minutes are in 360 seconds? - Answer- 360 seconds : 60 minutes = 6 minutes You are a truck driver for a distribution center. You drove 30 hours in 5 days. What is your average daily travel time? - Answer-30 hours: 5 days = 6 hours You work for a florist. Normally, it takes you 20 hours to assemble 10 flower arrangements. How long does it take you to assemble one flower arrangement? - Answer-20 hours : 10 flowers = 2 hours One yard equals three feet. How many yards are there in 63 feet? - Answer-63 feet : 3 feet = 21 yards You are a batter mixer in a factory that makes cakes. The batter calls for 0.75 of tea spoon of almond extract. Your measuring spoons show fractions not decimals. Using your tools to measure, how much almond extract should you add? A. 1/4 of a teaspoon B. 1/2 of a teaspoon C. 3/4 of a teaspoon D. 1/3 of a teaspoon - Answer-C. 3/4 of a teaspoon
Explanation: 75/ ==> 75 = 1 x 75 ==> 75 : 25 = 3 3 x 25 ==> 100 = 1 x 100 ==> 100 : 25 = 4 2 x 50 3 x 25 75/100 = 3/ In the checkout line, a costumer has two coupons for the same item. One is 1/3 off, and the other is 1/2 off. Which coupon will give the costumer the biggest discount? A. 1/ B. 1/2 - Answer-B. 1/ Explanation: Convert the 1/3 and 1/2 into decimal 1/3 = 1 : 3 = 0. 1/2 = 1 : 2 = 0. So the biggest discount is 1/2 (0.5) Change 0.25 to a fraction in simplest form A. 25/ B. 1/ C. 1/ D. 1/2 - Answer-B. 1/ Explanation: 0.25 to fraction 25/ 25= 1 x 25 100 = 1 x 100 2 x 50 4 x 25 : 25 = 1 100 : 25 = 4 So the simplest form of 0.25 is 1/
minutes. How many total minutes did you spend on the two projects combined? - Answer- 1 30 minutes Explanation: Project A = 1 hour and 25 minutes = 60 minutes + 25 minutes = 85 minutes Project B = 45 minutes Total minutes on the projects combined: 85 minutes + 45 minutes = 130 minutes You've just finished making 3 batches of plastic tumblers: a red batch, a yellow batch, and a purple batch. There are 500 in each batch. You are now making sets of 3 tumblers that contain 1 tumblers of each color. How many sets can you make? A. 166 B. 167 C. 500 D. 506 E. 1500 - Answer-3 x 500 = 1500 1500 : 3 = 500 You are a cook. You just got orders for 2 steaks at table 6, 4 steaks at table 7, and 4 steaks at table 11. How many steaks should you put on the grill? - Answer-10 grill Explanation: 2 + 4 + 4 = 10 You worked the dinner shift tonight and served a family their dinner. The bill was $43.89. They left $50 to pay for the meal; the remainder was your tip. How much your tip? - Answer-$6. Explanation: $50.00 - $43.89 = $6. The 4 people in your crew each spent 4 hours laying sod. How many person hours in this? - Answer-16 hours Explanation: 4 crew x 4 hours = 16 hours It takes about 14 person-hours of labor to break up a driveway and clear away the ruble. It takes about 8 person-hours of labor to pour and smooth concrete for the new driveway. About how many person-hours of labor does it take to break up a driveway, clear away the rubble, pour the concrete, and smooth the concrete? - Answer- 22 Explanation: 14 + 8 = 22 person-hours
You estimate that you have completed 1/4 of the work your boss expects this week. What percent of your work is complete? - Answer-25% Explanation: 1/4 x 100 1 x 100 = 100 : 4 = 25 % You are putting 30 different bolts into bins according to the size of the bolt. So far you have successfully put 10 bolts into bins, while is 1/3 of the total job. What is your answer when your supervisor asks, "within 1%, what percent of the job is complete? - Answer- 33% Explanation: 1/3 x 100 = 33% You are trying to order 1/4 pound of saffron, but the ordering system wants a decimal. What should you type in? - Answer-O. Explanation: 1/4 : 100 = 0. You process paychecks for your company. Paydays are 2 weeks apart, on Friday. The first payday in one month is on the 12th.the next payday is on the: - Answer-26th Explanation: 1 week = 7days 2 weeks = 7 days x 2 = 14 days First payday on the 12th + 14days = 26th You just found out the balance in one of the company's bank accounts dropped below $0 to - $425.59. Now you must adjust the balance to include the $30 penalty that the bank will charge, and then transfer funds from another of the company's accounts. What is the balance after the penalty and before you transfer any funds? - Answer--$455. Explanation:
The customer paid with: $50 + $20 =$ The customer got change of $70 - $52.25 = $12. You are a carpenter and have a 3/16 inch piece of wood and a 5/16 inch piece of wood. If you glue the pieces together, what is the new measurement of the combined piece of wood in its lowest form? - Answer-1/2 inches Explanation: 3/16 + 5/16 =8/ Divide both nominator and denominator with 8 8/18 = 1/ A part time contractor at a manufacturing facility earns $11.00 per hour. He worked 4 1/4 hours on Tuesday, 3 1/4 hours on Wednesday, 7 1/4 hours on Thursday, and 5 1/ hours on Friday. How much money did he earn for the week? - Answer-$220. Explanation: 4 1/4 + 3 1/4 + 7 1/4 + 5 1/ 4 + 3 + 7 + 5 = 19 1/4 x4 = 4/4 = 1 19 + 1 = 20 hours 20 hours x $11.00 = $220. As a project manager, your need to plan production runs over the next 3 1/2 weeks. If your team is able to produce 1250 widgets in one weeks, how many widgets can they produce in. 3 1/2 weeks? - Answer- 4375 Explanation: 1250 x 3 weeks = 3750 1250 x 1/2 week = 625 Total of 3 1/2 weeks is 4375 You have 50 rolls of fencing that are each 15 1/2 feet long. What is the total length of fencing? - Answer-775 feet Explanation:
Explanation: 8 x 5 3/ 8 x 5 = 40 8 x 3/4 = 8 x 0.75 = 6 40 + 6 = 46 inches An operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3 of his pay. What is his total pay per month? - Answer-$ Explanation: 1/3 = $ $849 x 3 = $ Your employer pays you 1 1/2 times your normal wage on holidays. If your normal hourly wage is $12/hour, how much will you make per hour on the holiday? - Answer- $ Explanation: $12 x 1 1/2 = 18 or $12 x 1.5 = 18 One of your clients at Wills, Trusts & Estates Law, PLLC passes away. His estate is worth $72,000. He leaves half to charity, and 1/8 to each of his four children. How much will each child receive? - Answer-$ Explanation:
Or 4776 : 40 = 119. 119.4 x 120 = 14328 You are overseeing a machine that seals 80 soda cans per minutes. In one hour of time, how many soda cans will be sealed - Answer-80 sodas x 60 minutes = 4800 soda cans On a recent business trip, a salesman traveled 52 miles the first, 64 miles the second hour and 49 miles the third hour. How many miles did he average per hour? - Answer- 52 + 64 + 49 = 165 165 : 3 = 55 miles/hour A human resource manager is researching the entry-level salary for a technician position. He determined that other companies in the area are paying $15.50, $16.85, $14.25, and $15.95 per hour. What is the average pay for an entry level technician position? - Answer-$15.50 + $16.85 + $14.25 + $15.95 = $62. => $62.55 : 4 = $15.64 per hour Sales Team A at Drive - A-Lot Cars sells 9 cars during the first week of the sales period. Over the next three weeks, they sell 6 cars, 10 cars, and 7 cars. What is the team's average weekly sales for the four we? - Answer-9 + 6 + 10 + 7 = 32 32 : 4 = 8 cars Drive - A-Lot Cars runs a promotion for three years of interest-free payment on sedans. The cost of a new sedan is $22968 (including tax). What is the average monthly payment a customer will make if they pay off the car during the interest-free period? - Answer-$638/month 3 years x 12 months = 36 months $22968 : 36 months = $ Your company sells $$25543 worth of merchandise in January, $15550 in February, and $32461 in March. What are the average sales for these months? - Answer-$ Explanation: $25543 + $15550 + $32461 = $73554 : 3 = $ A costumer buy a bag of dog food that costs $12.79 and pays the sales tax of $0.64. How much change is due back from a $20 bi? - Answer-$20.00 - $12.79 - $0.64 = $6.
You have $28, and you want to get half-dollars coins from the bank to give to children who come into your store. What is the most you get? - Answer- 56 Explanation: $ 1 = 2 half-dollars coins $ 28 x 2 = 56 Prime number - Answer-A whole number greater than 1 that has exactly two factors ( and itself) Example of a prime number - Answer-1, 2, 3, 5, 7, 11, 13, 17, 19, 23 Composite numbers - Answer-A natural number greater than 1 that can be divided evenly by 1 and itself and at least one other number Ex: 125 125 : 25 = 5 125 : 125 = 1 125 : 1 = 125 Ex: 4 1 x 4 = 4 2 x 2 = 4 Ex: 48 Can divide with 1,6, Natural Numbers (Counting Numbers) - Answer-1, 2, 3, 4, 5, 6, 7, 8, 9, etc. Whole numbers that are not negative. Zero (0) is not a natural number Integers numbers - Answer-whole numbers and their opposites