A basket contains 12 red apples and 16 green apples. What is the simplified ratio of red apples to the total number of apples in the basket?
Ratios Proportional Relationships
Question · Easy
Stats test: find the median
Short
A car travels 180 miles in 3 hours at a constant speed. What is the unit rate of speed in miles per hour?
A recipe requires 2 cups of flour for every 3 cups of sugar. If Maya uses 12 cups of sugar, how many cups of flour does she need to maintain the same ratio?
A 16-ounce box of cereal costs $4.80. What is the unit cost per ounce of cereal?
What is 35% of 80?
If 24 students represent 60% of a 6th-grade class, how many total students are in the class?
A wooden board is 4.5 feet long. How many inches long is the board? (Note: 1 foot = 12 inches)
Which ratio is equivalent to 5:8?
Brand A sells 5 cans of soup for $6.50. Brand B sells 8 cans of the same soup for $9.60. Which brand is cheaper per can, and by how much?
Question · Medium
A cyclist rides at a constant speed of 14 miles per hour. How far will the cyclist travel in 2.5 hours?
The original price of a pair of sneakers is $65. If a store offers a 20% discount, what is the sale price of the sneakers before tax?
A printing machine prints 45 pages in 3 minutes. Assuming the printing rate remains constant, which ordered pair (minutes, pages) lies on the graph representing this proportional relationship?
Ethan bought a bicycle in Memphis for $150. If the sales tax rate is 7%, what is the total cost of the bicycle including tax?
A water dispenser holds 3.75 liters of water. How many milliliters of water does the dispenser hold? (Note: 1 liter = 1,000 milliliters)
In a middle school choir, there are 18 sopranos, 12 altos, and 6 tenors. What is the simplified ratio of altos to total choir members?
A commercial printer can output 120 pages in 4 minutes. At this exact rate, how many minutes will it take the printer to complete a 330-page document?
On a science examination, Marcus answered 84% of the questions correctly. If he got 42 questions correct, how many total questions were on the test?
A runner completes a 10-kilometer road race in 50 minutes. What is the runner's average pace in minutes per kilometer?
A custom green paint mixture requires 4 cups of blue paint for every 5 cups of yellow paint. How many cups of blue paint are needed to mix with 35 cups of yellow paint?
A family's dinner bill at a restaurant in Nashville is $85.00. If they leave an 18% tip, how much is the tip amount?
Store X sells a 12-pack of juice boxes for $7.20. Store Y sells an 18-pack of the same juice boxes for $9.90. How much money per juice box do you save by buying from Store Y instead of Store X?
Question · Hard
A smartphone originally priced at $400 is on sale for 25% off. A customer also has a store coupon for an additional 10% off the discounted sale price. What is the final price of the smartphone before tax?
A vehicle travels at a constant speed of 45 miles per hour. How many feet per second is the vehicle traveling? (Note: 1 mile = 5,280 feet, 1 hour = 3,600 seconds)
A baking recipe requires 3/4 cup of sugar for every 1 1/2 cups of flour. How many cups of sugar are needed if a baker uses 5 cups of flour?
In September, a school garden produced 80 pounds of produce. In October, the garden produced 104 pounds of produce. What was the percentage increase in produce from September to October?
Evaluate the quotient: 3/4 ÷ 1/8.
Number System
What is the quotient of 4,896 ÷ 16?
Calculate the sum: 14.85 + 7.39.
What is the Greatest Common Factor (GCF) of 24 and 36?
A research submarine is located 45 feet below sea level. Which integer best represents this elevation?
What is the opposite of -17 on a number line?
What is the absolute value of -15.5?
What is the distance between point A at (3, 5) and point B at (3, -4) on a coordinate plane?
Sarah has a piece of ribbon that is 5/6 yard long. If she cuts the ribbon into smaller strips that are each 1/12 yard long, how many strips can she cut?
Calculate the product: 4.25 × 3.6.
Evaluate the quotient: 28.35 ÷ 4.5.
Hot dog buns are sold in packages of 8, and sausages are sold in packages of 12. What is the smallest number of packages of each that Alex must buy to have an equal number of buns and sausages?
Which expression uses the greatest common factor and the distributive property to rewrite 48 + 72?
In which quadrant of the coordinate plane is the point (-4, -7) located?
Which list of rational numbers is ordered correctly from least to greatest?
Bank Account A has a balance of -$45. Bank Account B has a balance of -$62. Which statement correctly compares their balances and absolute debt values?
Solve the division problem: 2 1/2 ÷ 3/4.
Jackson bought 3 notebooks for $2.45 each and 2 packs of pens for $3.80 each. He paid with a $20 bill. How much change should Jackson receive?
If point P with coordinates (5, -3) is reflected across the x-axis, what are the coordinates of the reflected point P'?
Which fraction represents the number located exactly halfway between -1/2 and 3/4 on a number line?
A rectangular raised garden bed has an area of 7 1/2 square yards. If the length of the garden bed is 3 1/3 yards, what is its width?
A driver fills a car's tank with 14.5 gallons of gasoline for a total cost of $44.95. What is the price per gallon of gasoline?
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