Level 2 Problem Set

Intermediate Ratio Practice

Challenge yourself with proportion equations, rates of change, and direct vs. inverse proportional reasoning.

Problem 1 Intermediate

Solve for x in the proportion: 4 / 7 = x / 35.

Problem 2 Intermediate

Solve for y in the proportion: 9 / y = 27 / 45.

Problem 3 Intermediate

A car travels 180 miles on 6 gallons of gas. How many miles can it travel on 14 gallons at the same fuel rate?

Problem 4 Intermediate

Convert the fraction 5/8 to a part-to-part ratio (Numerator : Remainder).

Problem 5 Intermediate

Solve for n: 1.2 : 3 = n : 15.

Problem 6 Intermediate

If 8 workers can pave a road in 12 days, how many days will it take 16 workers at the same pace? (Inverse Proportion)

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Reviewed for accuracy: October 2026 by Ratio Calculator Mathematical Review Team • Topic: Intermediate Proportion Exercises