Ratio and Proportion

In a dining room, there are $8$ chairs and $1$ table. What is the ratio of chairs to tables?

In a suitcase, there are $6$ shirts and $5$ pairs of pants. What is the ratio of pants to shirts?

A locker room has $11$ hats and $3$ pairs of gloves. What is the ratio of hats to gloves?

At the pool, there are $7$ swimmers and $4$ divers. What is the ratio of swimmers to divers?

A baker uses 2 eggs for every 250 grams of flour. What is the ratio of eggs to grams of flour in simplest form?

Simplify the ratio $55:5$.

In the word $STUDENT$, what is the ratio of vowels to the total number of letters?

The ratio of the height of a building to the length of its shadow is $5:2$. If the shadow is $14$ meters long, how tall is the building?

A $2$ liter bottle of soda is shared between five people in the ratio $1:2:2:2:3$. How many milliliters does the person with the largest share receive?

On a Saturday, the ratio of the number of visitors to a museum in the morning to those in the afternoon was $5:8$. If $120$ more people visited in the afternoon, how many people visited in the morning?

If $3$ identical T-shirts cost $\$30$, how much would $2$ of those T-shirts cost?

On a map, $1\text{ cm}$ represents $5\text{ km}$ in real life. If two cities are $4\text{ cm}$ apart on the map, how many kilometers are they actually apart?

One shirt requires $6$ buttons. How many buttons are needed for $10$ shirts?

One packet of seeds can plant $5$ rows of flowers. How many rows can be planted with $4$ packets?

A factory machine produces 15 toy cars in 4 hours. How many toy cars can the machine produce in 12 hours at the same rate?

If 5 packs of stickers contain a total of 60 stickers, how many stickers are in 12 packs of the same size?

A garden hose delivers 12 liters of water in 40 seconds. How many liters of water will it deliver in 100 seconds?

To make a specific shade of orange, a painter mixes 3 parts of red paint with 5 parts of yellow paint. If the painter uses 1.2 liters of red paint, what is the total volume of orange paint produced?

A heavy-duty steel cable weighs $10.5\text{ kg}$ for every 4 meters of length. What is the weight of 14 meters of this cable?

On a map, a distance of $8\text{ cm}$ represents $20\text{ km}$. What distance on the map would represent a real-world distance of $55\text{ km}$?

A side of $27\text{ cm}$ is scaled down to a length of $3\text{ cm}$. What scale factor was used?

A triangle has a side of $6\text{ cm}$. If it is scaled up by a factor of $4$, what is the length of the new side?

A rectangle width is $20\text{ cm}$. If it is scaled down by a factor of $10$, what is the new width?

A pentagon has a side length of $2\text{ cm}$. If it is scaled up by a factor of $6$, what is the new side length?

A triangle has side lengths of $5\text{ cm}$, $12\text{ cm}$, and $13\text{ cm}$. If it is scaled down by a factor of $0.2$, what is the perimeter of the new triangle?

A square has a side length of $2.5\text{ cm}$. If it is scaled up by a factor of $4$, what is the perimeter of the new square?

If an original length of $40\text{ cm}$ is multiplied by a scale factor of $0.75$, what is the new length?

The side of a cube is $4\text{ cm}$. If the side length is scaled up by a factor of $1.5$, what is the perimeter of one face of the new cube?

A shape is scaled up by a factor of $2.5$. The original area was $16\text{ cm}^2$. What is the area of the scaled shape?

A regular nonagon (9 sides) has a perimeter of $135\text{ cm}$. It is scaled down by a factor of $1/3$. What is the length of one side of the new nonagon?