Ratios Practice

Skill: ratios

Ratio Practice

An endless supply of never-repeating ratio problems with instant feedback. Simplify ratios, find unit rates and unit prices, scale recipes, and compare deals — one problem at a time.

1 Practice

Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss walks you through the full solution.

Score 0 · Streak 0 · Problem 0
Score counts first-try correct answers. Streak counts consecutive correct answers.
Simplify ratios

How to enter answers

  • Ratio: use a colon, like 2:3. When a problem says “simplest form”, 4:6 will not count — reduce it.
  • Numbers: an integer (50), a fraction (2/3), or a decimal (0.5).
  • Money: dollars and cents like 1.50 (no dollar sign needed).
  • Choice: the letter A or B.

2 What you’ll practice

Every problem is generated fresh from 12 templates across four question types — a problem never repeats until its whole pool is used up.

Simplify ratios

Divide both sides by their greatest common factor. Watch the order when the question names “girls to boys”.

10:15 → 2:3

Unit rates and prices

“Per” means divide. Find miles per hour, dollars per pound, and pick the better buy by comparing unit prices.

150 miles in 3 hours → 50 mph

Equivalent ratios and scaling

Multiply both sides by the same number to scale a ratio up — for recipes, missing terms, and splitting totals.

2:3 = 10:15

3 Watch out for these

The three mistakes students make most often on ratio problems.

1. Ignoring the order (“girls to boys”)

Wrong: 9 boys, 12 girls → 9:12.    Right: girls to boys = 12:9 = 4:3. The first word named goes first.

2. Adding instead of scaling

Wrong: 2:3 → 4:5.    Right: 2:3 → 4:6. Ratios grow by multiplication only.

3. Dividing the wrong way for a unit rate

Wrong: 150 miles in 3 hours → 3 ÷ 150.    Right: 150 ÷ 3 = 50 mph. The word after “per” is the divisor.

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