All questions
Question 1
A stock was priced at $45.20 per share. Its value increased by $2.85 on Monday, and then decreased by $4.10 on Tuesday. What was the price of the stock per share at the end of Tuesday?
- $38.25
- $43.95 (correct answer)
- $48.05
- $52.15
Explanation: Start with the initial price. Add the increase from Monday and subtract the decrease from Tuesday. $45.20 + $2.85 = $48.05. Then, $48.05 - $4.10 = $43.95.
Question 2
A customer buys 3 notebooks at $2.75 each and a pack of pens for $4.95. If the customer pays with a $20 bill, how much change should they receive?
- $6.80 (correct answer)
- $7.80
- $12.30
- $13.20
Explanation: First, calculate the total cost of the notebooks: 3 × $2.75 = $8.25. Next, add the cost of the pens to find the total cost of the purchase: $8.25 + $4.95 = $13.20. Finally, subtract the total cost from the amount paid to find the change: $20.00 - $13.20 = $6.80.
Question 3
A bank account has a starting balance of $435.50. The account holder makes a deposit of $180.25 and then writes a check for $75.80. A monthly service fee of $4.95 is then deducted. What is the final balance of the account?
- $336.00
- $535.00 (correct answer)
- $540.80
- $696.50
Explanation: Start with the initial balance, add the deposit, and subtract the check and the service fee. Calculation: $435.50 + $180.25 = $615.75. Then, $615.75 - $75.80 = $539.95. Finally, $539.95 - $4.95 = $535.00.
Question 4
A carpenter has a wooden plank that is 4.5 meters long. She needs to cut three pieces that are each 0.85 meters long and one piece that is 1.2 meters long. After she cuts these pieces, how much of the original plank will be left?
- 0.75 m (correct answer)
- 1.95 m
- 2.45 m
- 3.75 m
Explanation: First, calculate the total length of the three identical pieces: 3 × 0.85 m = 2.55 m. Next, add the length of the fourth piece to find the total length of wood to be cut: 2.55 m + 1.2 m = 3.75 m. Finally, subtract the total cut length from the original plank's length: 4.5 m - 3.75 m = 0.75 m.
Question 5
An employee earns $18.50 per hour for the first 40 hours worked in a week. For any additional hours, she earns 1.5 times her regular hourly rate. If she works 46 hours in one week, what are her total earnings for that week?
- $795.50
- $851.00
- $906.50 (correct answer)
- $1276.50
Explanation: First, calculate regular pay: 40 hours × $18.50/hour = $740.00. Then, determine overtime hours: 46 - 40 = 6 hours. Next, calculate the overtime rate: $18.50 × 1.5 = $27.75/hour. Calculate overtime pay: 6 hours × $27.75/hour = $166.50. Finally, add regular and overtime pay: $740.00 + $166.50 = $906.50.
Question 6
At the start of a road trip, a car's odometer read 34,258.8 miles. At the end of the trip, it read 34,611.3 miles. The car consumed 12.5 gallons of gasoline during the trip. How many miles per gallon did the car get on this trip?
- 28.2 miles per gallon (correct answer)
- 35.8 miles per gallon
- 44.4 miles per gallon
- 352.5 miles per gallon
Explanation: First, calculate the total distance traveled by subtracting the starting odometer reading from the ending reading: 34,611.3 - 34,258.8 = 352.5 miles. Next, divide the total distance by the number of gallons used to find the miles per gallon: 352.5 miles ÷ 12.5 gallons = 28.2 miles per gallon.
Question 7
A recipe for a smoothie requires 0.4 cups of yogurt for a single serving. A container of yogurt holds 3.5 cups. If David makes 4 servings of the smoothie, how many cups of yogurt will be left in the container?
- 1.6 cups
- 5.1 cups
- 3.1 cups
- 1.9 cups (correct answer)
Explanation: First, calculate the total amount of yogurt used for 4 servings: 4 servings × 0.4 cups/serving = 1.6 cups. Then, subtract the amount used from the total amount in the container: 3.5 cups - 1.6 cups = 1.9 cups.
Question 8
An elevator has a maximum weight capacity of 2,000 pounds. The average weight of a person is estimated to be 185.5 pounds. There is a delivery on the elevator that weighs 285 pounds. What is the maximum number of people who can safely ride the elevator with the delivery?
- 8
- 9 (correct answer)
- 10
- 12
Explanation: First, subtract the weight of the delivery from the total capacity to find the remaining capacity for people: 2,000 pounds - 285 pounds = 1,715 pounds. Next, divide the remaining capacity by the average weight of a person: 1,715 ÷ 185.5 = 9.245... . Since a fraction of a person cannot be on the elevator, the maximum number of whole people is 9.
Question 9
Four friends go out for dinner. The total bill for food is $85.40. They want to leave a tip that is 0.2 of the food bill. If they split the total cost (food and tip) equally, how much should each person pay?
- $21.35
- $25.62 (correct answer)
- $29.89
- $34.16
Explanation: First, calculate the tip amount: $85.40 × 0.2 = $17.08. Next, calculate the total cost including the tip: $85.40 + $17.08 = $102.48. Finally, divide the total cost by the number of friends to find each person's share: $102.48 ÷ 4 = $25.62.
Question 10
A cell phone plan costs $25.50 per month, which includes 2 gigabytes (GB) of data. For each additional GB of data used, the company charges $10.75. If a customer uses 4.2 GB of data in a month, what will their total bill be?
- $36.25
- $45.15
- $49.15 (correct answer)
- $70.65
Explanation: First, determine the amount of additional data used: 4.2 GB - 2 GB = 2.2 GB. Next, calculate the cost of the additional data: 2.2 GB × $10.75/GB = $23.65. Finally, add the base monthly cost to the additional data cost: $25.50 + $23.65 = $49.15.
Question 11
A scientist is mixing a chemical solution. She starts with 1.25 liters of water and adds 0.08 liters of a concentrated acid. She then removes 0.4 liters of the mixture for an experiment. How much of the solution is left?
- 0.77 liters
- 1.73 liters
- 1.33 liters
- 0.93 liters (correct answer)
Explanation: First, find the total volume of the solution after mixing by adding the volumes of the water and acid: 1.25 liters + 0.08 liters = 1.33 liters. Then, subtract the amount removed for the experiment: 1.33 liters - 0.4 liters = 0.93 liters.
Question 12
Maria's car has a 15-gallon fuel tank. She fills the tank and drives 420 miles before the tank is empty. She then buys 10 gallons of gasoline. How many miles can she expect to drive on the 10 gallons of gasoline?
- 28 miles
- 42 miles
- 280 miles (correct answer)
- 405 miles
Explanation: First, calculate the car's fuel efficiency in miles per gallon (MPG): 420 miles ÷ 15 gallons = 28 MPG. Next, use the MPG to find how far she can drive on 10 gallons: 28 MPG × 10 gallons = 280 miles.
Question 13
A machine produces 847.5 widgets per hour. Due to maintenance issues, its efficiency drops to 78.3% of its original rate. If the machine runs for 6.75 hours at the reduced rate, how many widgets will it produce?
- 4,482
- 4,479 (correct answer)
- 4,486
- 4,473
Explanation: Calculate the reduced rate: 847.5 × 0.783 = 663.4125 widgets per hour. Calculate total production: 663.4125 × 6.75 = 4,478.03... widgets. Rounding to the nearest whole widget gives 4,478 widgets. The closest answer is B (4,479). Choice A might result from rounding errors at different steps. Choice C could come from using 78.3% as 0.793 instead of 0.783. Choice D might result from calculation errors in the multiplication steps.
Question 14
A water tank has a capacity of 847.5 gallons. It currently contains 312.8 gallons of water. If water flows in at a rate of 15.7 gallons per minute and flows out at a rate of 9.2 gallons per minute, how long will it take for the tank to be completely full?
- 82.3 minutes (correct answer)
- 76.8 minutes
- 89.1 minutes
- 72.5 minutes
Explanation: First, find how much water is needed: 847.5 - 312.8 = 534.7 gallons. Calculate the net inflow rate: 15.7 - 9.2 = 6.5 gallons per minute. Time needed: 534.7 ÷ 6.5 = 82.26... minutes ≈ 82.3 minutes. Choice B might result from using only the inflow rate without subtracting outflow. Choice C could come from calculation errors. Choice D might result from errors in finding the water needed or rate calculations.
Question 15
A store sells coffee in two sizes. A 10.5-ounce bag costs $8.40, and a 24-ounce bag costs $16.80. How much cheaper is the coffee per ounce in the larger bag?
- $0.10 (correct answer)
- $0.70
- $0.80
- $8.40
Explanation: First, find the unit price for each bag. For the small bag: $8.40 ÷ 10.5 ounces = $0.80 per ounce. For the large bag: $16.80 ÷ 24 ounces = $0.70 per ounce. Then, find the difference in the unit prices: $0.80 - $0.70 = $0.10.
Question 16
A jacket is priced at $120. It is on sale for 15% off. If the sales tax is 6.5%, what is the final price of the jacket, including tax? (Note: Sales tax is calculated on the discounted price.)
- $95.37
- $102.00
- $108.63 (correct answer)
- $109.80
Explanation: First, calculate the discount amount: $120 × 0.15 = $18. Then, find the discounted price: $120 - $18 = $102. Next, calculate the sales tax on the discounted price: $102 × 0.065 = $6.63. Finally, add the tax to the discounted price: $102 + $6.63 = $108.63.
Question 17
A rectangular garden has a length of 8.5 meters and a width of 5.25 meters. Fencing costs $12.50 per meter. How much will it cost to install a fence around the entire perimeter of the garden?
- $171.88
- $343.75 (correct answer)
- $557.81
- $687.50
Explanation: First, calculate the perimeter of the garden: P = 2 × (length + width) = 2 × (8.5 m + 5.25 m) = 2 × 13.75 m = 27.5 m. Then, multiply the perimeter by the cost per meter: 27.5 m × $12.50/m = $343.75.
Question 18
A cyclist travels at an average speed of 14.5 miles per hour. If she bikes for 2.4 hours, how many miles will she travel?
- 6.04 miles
- 16.9 miles
- 34.8 miles (correct answer)
- 36.25 miles
Explanation: To find the total distance traveled, multiply the average speed by the time spent traveling: Distance = Speed × Time. So, 14.5 miles/hour × 2.4 hours = 34.8 miles.
Question 19
A tailor needs to cut strips of ribbon that are each 1.25 feet long. The ribbon comes on a spool that holds 25 feet. How many complete 1.25-foot strips can the tailor cut from one spool?
- 18
- 20 (correct answer)
- 23
- 31
Explanation: To find the number of strips, divide the total length of the ribbon on the spool by the length of each strip: 25 feet ÷ 1.25 feet/strip = 20 strips. Since the result is a whole number, exactly 20 complete strips can be cut.
Question 20
A delivery truck weighs 2.4 tons when empty. It is loaded with 40 identical boxes. If the truck's total weight with the boxes is 3.1 tons, what is the weight of each box in tons?
- 0.0175 tons (correct answer)
- 0.06 tons
- 0.0775 tons
- 0.7 tons
Explanation: First, find the total weight of all the boxes by subtracting the truck's empty weight from its total weight: 3.1 tons - 2.4 tons = 0.7 tons. Then, divide the total weight of the boxes by the number of boxes to find the weight of a single box: 0.7 tons ÷ 40 boxes = 0.0175 tons.