Ratios, rates, and proportions Practice Questions (Grade 7)

Ratios, rates, and proportions. Game on.

Ratios, rates, and proportions is a grade 7 math skill aligned to Common Core standard 7.RP.A.2: recognize and represent proportional relationships between quantities. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 125 ratios, rates, and proportions problems our math games drill.

CCSS 7.RP.A.2125 questions in the bank

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Warm-upeasy

Solve for $n$ : $\dfrac{2}{9} = \dfrac{n}{45}$ .

Cross-multiply: $9n = 90$ , so $n = 10$ .

Mid-gameeasy

Solve for $x$ : $\dfrac{4}{32} = \dfrac{6}{x}$ .

Cross-multiply: $4 x = 32 \cdot 6 = 192$ . So $x = 48$ .

Mid-gameeasy

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

$\dfrac{x}{y} = \dfrac{8}{3}$ . With $y = 45$ , $\dfrac{x}{45} = \dfrac{8}{3}$ , so $3x = 360$ and $x = 120$ .

Mid-gameeasy

A car travels $390$ miles in $6$ hours. What is the speed in miles per hour?

$390 \div 6 = 65$ miles per hour.

Mid-gameeasy

Solve for $y$ : $\dfrac{6}{4} = \dfrac{y}{24}$ .

Cross-multiply: $4y = 144$ , so $y = 36$ .

Mid-gameeasy

Solve for $x$ : $\dfrac{9}{63} = \dfrac{6}{x}$ .

Cross-multiply: $9 x = 63 \cdot 6 = 378$ . So $x = 42$ .

Mid-gameeasy

Given $a:b = 5:2$ and $a = 75$ , find $b$ .

$\dfrac{a}{b} = \dfrac{5}{2}$ . With $a = 75$ , $\dfrac{75}{b} = \dfrac{5}{2}$ , so $5b = 150$ and $b = 30$ .

Buzzer beatereasy

A car travels $225$ miles in $5$ hours. What is the speed in miles per hour?

$225 \div 5 = 45$ miles per hour.

Ratios, rates, and proportions. Game on.

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