KAP Grade 7 Ratios and Proportional Relationships. Practice it free.

Pentagons $ABCDE$ and $FGHJK$ are similar. The perimeter of pentagon $ABCDE$ is $35\textsf{,}$ and the perimeter of pentagon $FGHJK$ is $21\textsf{.}$ Side $AB$ corresponds to side $FG\textsf{,}$ and $AB = 20\textsf{.}$ What is the length of $FG\textsf{?}$

An herbicide spray uses concentrate and water in a ratio of $6$ to $24$. How many cups of concentrate should be added to $2$ quarts of water to make the spray in this ratio? ($4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

What is $30\%$ of $90$?

After a $25\%$ discount, a board game costs $\text{\char36}45$. What was the original price, in dollars, before the discount?

A recipe uses $3$ cups of flour to make $18$ muffins. At this rate, how many cups of flour are needed to make $30$ muffins?

$x$ and $y$ are in the ratio $8$ to $3$. Given that $y = 45$, what is $x$?

Find the simple interest on $\text{\char36}100$ at $10\%$ per year for $1$ year.

The table shows miles driven and gasoline used over two weeks. At the same miles-per-gallon rate, how many gallons are needed to drive $150$ miles?
$\begin{array}{l|c|c} \text{Week} & \text{Miles} & \text{Gallons} \\ \hline 1 & 240 & 8 \\ 2 & 180 & 6 \end{array}$