Ratios
A bakery uses a ratio of 4 cups of sugar to 6 cups of flour in its bread recipe. If the baker wants to make a smaller batch using only 2 cups of sugar, how much flour should they use to keep the same ratio?
3 cups of flour
A car travels 315 miles on 10.5 gallons of gas. What is the vehicle’s fuel efficiency in miles per gallon (mpg)?
30 mpg
A machine fills 240 bottles in 6 minutes. At that same rate, how many bottles can it fill in 15 minutes?
600 bottles
A rectangular garden is 6 cm long and 3 cm wide. Maria wants to put a fence around it. What is the total length of the fence she needs to buy?
Perimeter = 18 cm
Marcus is building a small fence that’s 3 feet long. He needs to buy wire measured in inches. How many inches of wire does Marcus need?
36 inches
In a factory, the ratio of full-time employees to part-time employees is 5:2. If there are 42 employees in total, how many are part-time?
12 part-time employees
A contractor completes 8 flooring jobs in 12 days, while another team completes 15 jobs in 20 days. Which team has the higher work rate, and by how much more per day?
Team 1: 0.67 jobs/day; Team 2: 0.75 jobs/day → Team 2 is 0.08 jobs/day faster
A recipe uses 2 cups of flour to make 8 muffins. The bakery needs to make 60 muffins for an order. How many cups of flour will they need?
15 cups of flour
A carpenter is cutting a triangular wooden shelf with a base of 10 feet and a height of 6 feet. What is the area of the shelf?
Area = 30 sq ft
Jessica studied for 2.5 hours before her test. How many minutes did she spend studying?
150 minutes
A map uses a ratio scale of 1 inch = 25 miles. If two cities are 4.6 inches apart on the map, what is the actual distance between them?
115 miles
A company prints 900 flyers in 45 minutes. If another printer can produce flyers at a rate 25% faster, how many flyers could it print in the same time?
1,125 flyers
A scale drawing of a warehouse uses a scale of 1 inch = 12 feet. If the drawing shows the building as 18 inches long and 10 inches wide, what are the actual dimensions of the warehouse?
216 ft long and 120 ft wide
A circular flower bed has a radius of 7 cm. The landscaper wants to cover it with mulch. How many square centimeters of mulch are needed? (Use π ≈ 3.14)
Area = 153.86 sq cm
A marathon route in another country is listed as 5 kilometers long. The coach wants to know the distance in meters to compare it to U.S. track data. How many meters is the race?
5,000 meters
A construction crew mixes concrete in a ratio of 3 parts gravel, 2 parts sand, and 1 part cement. If they are using 72 pounds of cement, how many pounds of gravel and sand are required?
Gravel: 216 lbs, Sand: 144 lbs
A factory produces 1,800 parts in 9 hours using 6 machines. If 3 additional machines are added (and efficiency stays the same), how many total parts could be produced in 9 hours?
2,700 parts
A contractor mixes paint in a ratio of 3 parts blue to 2 parts yellow to get a specific shade of green. If they need 20 gallons of paint total, how many gallons of blue and yellow paint are needed?
12 gallons blue, 8 gallons yellow
A cylindrical water tank has a radius of 3 cm and a height of 10 cm. How much water can it hold when full? (Use V = πr²h)
Volume = 282.6 cm³
A recipe calls for 64 ounces of chicken broth, but the measuring cup only shows pounds. How many pounds of broth should the chef use?
4 pounds
A company produces two models of electric scooters. The ratio of Model A to Model B sales last year was 5:3. This year, sales of Model A increased by 20% and Model B by 50%. What is the new ratio of Model A to Model B sales?
New ratio ≈ 6:4.5
Two delivery trucks are compared for efficiency. Truck A travels 480 miles in 8 hours using 20 gallons of fuel. Truck B travels 525 miles in 7 hours using 25 gallons. Which truck is more fuel-efficient and by how many miles per gallon?
Truck A: 24 mpg, Truck B: 21 mpg → Truck A is 3 mpg more efficient
A team of 4 workers can paint 1,200 square feet in 5 hours. The manager wants to estimate how long it will take 6 workers to paint 3,600 square feet at the same rate.
7.5 hours
A company makes decorative cubes with sides that are 4 inches long. If the cubes are to be painted on all sides, what is the total surface area of one cube?
Surface Area = 96 in²
A basketball hoop is 120 inches off the ground. The gym manager wants to confirm the height in both feet and yards for the safety report. What is the height?
10 feet or 3⅓ yards