A fruit basket contains 12 red apples and 18 green apples. What is the ratio of red apples to green apples in simplest form?
Ratios And Proportions
Question · Easy
Stats test: find the median
Short
Carlos bought 3 identical spiral notebooks for a total cost of $15.00. What is the unit cost per notebook?
What is $40\%$ expressed as a fraction in simplest form?
What is $25\%$ of 80?
A baker uses 2 cups of sugar for every 6 batches of cookies. How many cups of sugar are needed to bake 18 batches of cookies?
A vehicle travels a distance of 120 miles in 2 hours at a constant speed. What is the vehicle's speed in miles per hour?
Store A sells 4 cans of soup for $6.00. Store B sells 6 cans of the same soup for $8.10. Which store offers the lower unit price per can, and by how much is it cheaper per can?
Question · Medium
In a 6th grade class, 12 students participate in the school band, representing $30\%$ of the total class. How many total students are in the class?
The ratio of boys to girls in a robotics club is 3 : 5. If there are 24 boys in the club, how many girls are in the club?
Given that 1 inch is equal to 2.54 centimeters, how many centimeters are in 15 inches?
In a school garden of 150 total plants, 45 of them are tomato plants. What percentage of the garden consists of tomato plants?
A jacket originally priced at $80.00 is on sale for $20\%$ off. What is the sale price of the jacket before tax?
A runner completes $\frac{3}{4}$ of a mile in $\frac{1}{10}$ of an hour. What is the runner's average speed in miles per hour?
On a map of Puerto Rico, the scale is 1 centimeter represents 25 kilometers. If the map distance between San Juan and Ponce is 4.8 centimeters, what is the actual distance?
A trail mix recipe uses flour, sugar, and cocoa powder in the ratio 4 : 2 : 1 by weight. If a chef prepares a total batch weighing 700 grams, how many grams of flour are used?
A town's library membership increased from 5,000 members to 5,750 members in one year. What was the percentage increase in library membership?
Pack A contains 8 juice boxes for $5.20. Pack B contains 12 juice boxes for $7.20. How much money do you save per juice box by buying Pack B instead of Pack A?
A family dinner bill comes to $60.00. Sales tax is $7\%$ and the family leaves an $18\%$ tip, with both tax and tip calculated on the original $60.00 bill. What is the total amount paid?
Question · Hard
A punch bowl contains 14 liters of water and 6 liters of fruit juice. If 7 liters of water and 3 liters of fruit juice are added to the punch bowl, what is the ratio of water to fruit juice in simplest form?
Printer A prints $\frac{2}{3}$ of a page per second. Printer B prints $\frac{3}{5}$ of a page per second. Which printer is faster, and how many pages does it print in 1 minute (60 seconds)?
A computer monitor listed at $150.00 is discounted by $30\%$. Then an $8\%$ sales tax is calculated on the discounted price. What is the final total price of the monitor?
Water Pipe A fills a water storage tank at a rate of 12 gallons per minute. Pipe B drains the tank at a rate of 4 gallons per minute. If both pipes are open simultaneously, how many minutes will it take to fill an empty 240-gallon tank?
What is the quotient of $\frac{3}{4} \div \frac{1}{2}$ expressed in simplest form?
The Number System
Calculate the sum: $14.38 + 7.82$.
Calculate the difference: $45.6 - 12.85$.
What is the Greatest Common Factor (GCF) of 24 and 36?
What is the Least Common Multiple (LCM) of 8 and 12?
Which integer best represents a financial debt of $15.00?
What is the absolute value of $-18$, written as $|-18|$?
In which quadrant of the Cartesian coordinate plane is the ordered pair $(-4, 5)$ located?
A baker has $2\frac{1}{4}$ cups of sugar. If each batch of cookies requires $\frac{3}{8}$ cup of sugar, how many full batches of cookies can the baker make?
Calculate the quotient: $17.55 \div 0.45$.
Fabric costs $6.45 per meter. What is the total cost of 3.8 meters of fabric?
Which expression shows the sum $48 + 36$ rewritten using their Greatest Common Factor (GCF) and the distributive property?
Route A bus arrives at a station every 15 minutes. Route B bus arrives every 20 minutes. If both buses arrive together at 9:00 AM, at what time will they next arrive at the station together?
Which inequality statement correctly compares the two rational numbers $-3.5$ and $-2.8$?
A submarine operates at an elevation of $-120$ meters relative to sea level. A research helicopter flies directly overhead at an elevation of $+350$ meters. What is the total vertical distance between the submarine and the helicopter?
What is the distance between the two points $(3, -7)$ and $(3, 5)$ on the Cartesian coordinate plane?
Find the distance between point $A(-6, -4)$ and point $B(8, -4)$ on a coordinate grid.
Point $P$ has coordinates $(-5, 3)$. What are the coordinates of point $P'$ after it is reflected across the y-axis?
Calculate $3\frac{1}{3} \div 1\frac{2}{5}$ and express the answer as a simplified mixed number.
Which list orders the rational numbers $-0.8$, $-\frac{3}{4}$, $-\frac{1}{2}$, and $-0.25$ from least to greatest?
A wooden board measuring $7\frac{1}{2}$ feet long is to be cut into equal pieces that are each $\frac{5}{6}$ foot long. How many complete pieces can be cut, and how much wood remains?
Three lighthouse signals flash at different intervals: Light A flashes every 12 seconds, Light B every 18 seconds, and Light C every 30 seconds. If all three lights flash together right now, after how many seconds will they all flash together again?
A rectangle plotted on a coordinate grid has vertices at $A(-4, 6)$, $B(5, 6)$, $C(5, -2)$, and $D(-4, -2)$. What is the perimeter of rectangle $ABCD$?
A manufacturing facility fills 4.75-liter containers with purified water from a large 100-liter storage tank. How many full containers can be filled, and how many liters of water remain in the storage tank?
What is the value of the exponential expression $4^3$?
Expressions And Equations
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