A school art club has 12 sixth graders and 18 seventh graders. What is the ratio of sixth graders to seventh graders in simplest form?
Ratios And Proportional Relationships
Question · Easy
Flip it: the negative swing
Short
A runner completes 15 kilometers in 3 hours at a steady pace. What is the runner's unit rate in kilometers per hour?
A grocery store sells a 6-pack of juice boxes for $4.50. What is the unit price per juice box?
A recipe calls for 2 cups of sugar for every 5 cups of flour. If a baker uses 15 cups of flour, how many cups of sugar are needed to maintain the ratio?
In a class of 25 students, 17 students prefer science over social studies. What percentage of the class prefers science?
Maya saves 40% of her monthly allowance. If her monthly allowance is $45, how much money does she save each month?
Question · Medium
On a math test, 18 questions represent 75% of the total number of questions. How many total questions are on the test?
Brand A offers an 8-ounce container of yogurt for $1.60. Brand B offers a 12-ounce container of the same yogurt for $2.16. Which brand has a lower unit price, and by how much per ounce?
The ratio of blueberry syrup to sparkling water in a fruit drink is 3 tablespoons per 8 fluid ounces. Which ordered pair (syrup in tbsp, water in fl oz) lies on the graph representing this proportional relationship?
A jacket originally priced at $80 is on sale for 25% off. What is the sale price of the jacket before tax?
In Container X, the ratio of red paint to white paint is 3:4. In Container Y, the ratio of red paint to white paint is 5:6. Which container has a higher proportion of red paint relative to white paint?
A car travels at a constant speed of 54 miles per hour. How many miles does the car travel in 40 minutes?
A printer prints 45 pages in 3 minutes. At this constant rate, how many minutes will it take to print 105 pages?
An animal shelter adopted out 36 pets in March and 45 pets in April. What percentage of March's adoptions was April's adoptions?
A lawn care service charges $90 to mow a 1.5-acre lawn. At this same rate per acre, how much would the service charge to mow a lawn measuring 2.4 acres?
Question · Hard
A bicycle has a list price of $240. It is on sale for 15% off, and a 6% sales tax is applied to the discounted price. What is the total cost of the bicycle including tax?
After a 20% increase, the enrollment at an elementary school reached 540 students. What was the school's enrollment before the increase?
There are 16 ounces in 1 pound. How many pounds are equivalent to 104 ounces?
A machine packages 18 boxes in 4 minutes. A table shows equivalent rates: (4 min, 18 boxes), (10 min, x boxes), (14 min, 63 boxes). What is the value of x?
The ratio of boys to girls in a community youth orchestra is 4 to 5. If there are 36 boys in the orchestra, how many total members are in the orchestra?
Sam deposits $500 into a savings account that earns 3% simple interest per year. How much total money will be in the account after 2 years if no deposits or withdrawals are made?
A fruit bowl contains 8 apples, 6 bananas, and 10 oranges. What is the ratio of bananas to total fruit in simplest form?
Chef Antonio uses 2.5 pounds of cheese to make 10 pizzas. Chef Bella uses 3.2 pounds of cheese to make 16 pizzas. How much more cheese per pizza does Chef Antonio use than Chef Bella?
A school library has 800 books. 35% of the books are fiction. Of the fiction books, 25% are mystery novels. How many mystery novels are in the library?
A turtle walks 1/4 mile in 1/6 of an hour. At this constant rate, how many miles can the turtle walk in 1 hour?
Evaluate: 3/4 divided by 1/8.
The Number System
What is the sum of 48.75 and 19.408?
Calculate: 3.4 multiplied by 2.15.
What is the Greatest Common Factor (GCF) of 24 and 36?
What is the Least Common Multiple (LCM) of 8 and 12?
Which list of integers is ordered from least to greatest?
What is the value of |-15|?
In which quadrant of the coordinate plane is the point (-4, 7) located?
A container holds 7/8 gallon of lemonade. If each serving size is 1/16 gallon, how many full servings are in the container?
What is 14.28 divided by 0.35?
Which expression uses the greatest common factor and the distributive property to rewrite 36 + 48?
A submarine is at an elevation of -180 feet relative to sea level. A bird is flying directly above the submarine at an elevation of +120 feet. What is the vertical distance between the submarine and the bird?
Which inequality correctly compares -3/4 and -0.8?
What is the distance between point A(-5, 3) and point B(4, 3) on a coordinate plane?
Point P is located at (3, -6). If point P' is the reflection of point P across the x-axis, what are the coordinates of P'?
A ribbon measuring 5 1/4 yards long is cut into pieces that are each 3/4 yard long. How many pieces can be cut?
Divide: 88.92 divided by 3.8.
Hot dog buns come in packs of 8, while hot dog patties come in packs of 12. What is the minimum number of packages of each item a school must buy so that there are equal numbers of buns and patties with none left over?
Four bank accounts have the following balances: Account A: -$45, Account B: -$62, Account C: $30, Account D: -$15. Which account has the greatest debt (largest negative balance relative to zero)?
A rectangle has vertices at A(-2, 5), B(6, 5), C(6, -1), and D(-2, -1). What is the area of the rectangle in square units?
What is 100.05 - 37.892?
At midnight the temperature in Providence was -6.5°C. By noon the next day, the temperature rose by 14.2°C. What was the temperature at noon?
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