Unit Rates with Fractions: Grade 7 Math Test – PDF Download

Question 1: Bike trip (2 points)

Jamal bikes \(\frac{3}{4}\) mile in \(\frac{1}{8}\) hour. Find his unit rate in miles per hour.

Question 2: Water flow (2 points)

A faucet fills \(\frac{5}{6}\) gallon in \(\frac{1}{3}\) minute. Find the unit rate in gallons per minute.

Question 3: Almond price (2 points)

A bag with \(\frac{3}{4}\) pound of almonds costs $6.00. Find the price per pound.

Question 4: Minutes and hours (2 points)

Aisha walks \(\frac{3}{4}\) mile in 15 minutes. Find her speed in miles per hour.

Question 5: Poster paint (2 points)

Mei paints \(\frac{5}{8}\) square foot of a poster in \(\frac{1}{4}\) hour. Find the area she paints per hour.

Question 6: Cyclist comparison (2 points)

Cyclist A rides \(\frac{2}{3}\) mile in \(\frac{1}{6}\) hour. Cyclist B rides \(\frac{3}{4}\) mile in \(\frac{1}{5}\) hour. Which cyclist is faster, and by how many miles per hour?

Question 7: Find the error (2 points)

Liam says that a runner who goes \(\frac{1}{3}\) mile in \(\frac{1}{6}\) hour has a unit rate of \(\frac{1}{18}\) mile per hour. Find the correct unit rate and explain Liam’s mistake.

Question 8: Muffin recipe (2 points)

A recipe uses \(\frac{3}{4}\) cup of oil for \(\frac{1}{2}\) batch of muffins.

1. Find the cups of oil per batch. (1 point)
2. Find the cups of oil needed for 3 batches. (1 point)

Question 9: Hiking (2 points)

A hiker walks \(1\frac{1}{2}\) miles in \(\frac{3}{4}\) hour at a steady pace.

1. Find the hiker’s speed in miles per hour. (1 point)
2. How far does the hiker walk in \(2\frac{1}{2}\) hours? (1 point)

Question 10: Filling a tank (2 points)

A pipe fills \(\frac{1}{2}\) of a tank in \(\frac{3}{4}\) minute.

1. Find the fraction of the tank filled per minute. (1 point)
2. How many minutes does it take to fill the whole tank? (1 point)

⬇ Download the Grade 7 Unit Rates with Fractions test (PDF, 82 KB)

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