Grade 7 · Fractions & ratios

Ratios, rates, and proportions practice

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 115 ratios, rates, and proportions problems our math games drill.

CCSS 7.RP.A.2115 questions in the bank

Sample questions

Try 8 for free

Question 1easy

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

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

Question 2easy

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

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

Question 3easy

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

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

Question 4easy

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

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

Question 5easy

Solve for $x$ : $\dfrac{2}{14} = \dfrac{3}{x}$ .

Cross-multiply: $2 x = 14 \cdot 3 = 42$ . So $x = 21$ .

Question 6easy

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

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

Question 7easy

Solve for $x$ : $\dfrac{8}{3} = \dfrac{x}{6}$ .

Cross-multiply: $3x = 48$ , so $x = 16$ .

Question 8easy

Solve for $x$ : $\dfrac{9}{36} = \dfrac{5}{x}$ .

Cross-multiply: $9 x = 36 \cdot 5 = 180$ . So $x = 20$ .

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Math games for Grade 7

Questions like these are served inside our head-to-head math games.

Blaster Gate game

Blaster GateBlast through the wall. First to clear wins.

Blitz Tanks game

Blitz TanksSolve math to load shells. Out-think the battalion. Last math standing wins.

Tests that cover ratios, rates, and proportions:

ACT PSAT 8/9 SBAC NC EOG/EOC MCAP

More Grade 7 skills:

Probability of simple events Probability basics Ratio, rate, and proportion word problems Sampling and inference Simple interest Volume of prisms and cylinders Circle formulas One-event probability word problems All Grade 7 practice →

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