How many ratio, rate, and unit questions are on the SAT?

SAT Math runs two modules of 22 questions in 35 minutes each, and the second module adapts to how you did on the first. Problem Solving and Data Analysis fills about 15 percent of the 44 questions, roughly 7, and ratios, rates, and units usually claim 2 to 3 of those.

Do I need to memorize unit conversions?

Know the everyday ones: 60 minutes in an hour, 60 seconds in a minute, 100 centimeters in a meter, 1000 meters in a kilometer. Anything unusual, like feet in a mile, is stated inside the question, so read for the conversion before you panic.

What is the difference between a ratio and a rate?

A ratio compares quantities of the same kind, like 3 cups of flour to 2 cups of sugar. A rate compares different units, like miles per hour. The SAT treats both the same way: build a fraction, keep the units straight, and scale it.

Can I solve these questions with Desmos?

Desmos handles the arithmetic beautifully, especially long conversion chains typed as one expression. It cannot decide what goes in the numerator and the denominator. That setup step is the actual skill, and it is what our drills train.

Is this practice really free?

Yes. Every drill regenerates with fresh numbers each time you load it, and there is no account, paywall, or ad anywhere on Satified.

Data Analysis · Skill 1 of 7

SAT Ratios, Rates, and Units Practice

The digital SAT hides ratio thinking everywhere: unit prices, map scales, recipe scaling, speed conversions, and density all reduce to the same move of building a fraction and keeping its units honest. This page shows the exact patterns, works one conversion through completely, then hands you drills that rebuild themselves with fresh numbers every time.

Domain: Data Analysis
About 15% of the test is Data Analysis
Difficulty: easy to hard
Free, no account

Drill ratios and rates now → See all Data Analysis skills

The patterns the SAT actually uses

Every ratio and rate question is one of four setups wearing a different story. Once you can name the setup, the story stops slowing you down.

Pattern 01

Set up a proportion

Recipe, map, and mixing problems give one complete pair and one incomplete pair. Write a/b = c/x with matching units in matching positions, cross multiply once, and you are done.

Pattern 02

Find and use a unit rate

Price per ounce, pages per minute, gallons per mile. Divide to get the amount for one unit, then multiply by however many units the question actually wants.

Pattern 03

Convert units in a chain

Miles per hour to feet per second, hours to seconds, grams to kilograms. Multiply by conversion fractions so the old units cancel. Hard versions chain two or three conversions in one question.

Pattern 04

Compare two rates or deals

Which bottle is the better buy, which printer is faster, which car burns less fuel. Convert both options to the same per one unit rate before comparing anything.

One worked example, start to finish

Worked example · medium

A car travels at a constant speed of 54 miles per hour. What is the car's speed in feet per second? (1 mile = 5,280 feet)

The rate arrives in miles per hour and leaves in feet per second, so two conversions are needed: miles to feet, and hours to seconds.
Convert the distance: 54 × 5,280 = 285,120, so the car covers 285,120 feet in one hour.
Convert the time: one hour is 60 × 60 = 3,600 seconds.
Divide: 285,120 ÷ 3,600 = 79.2. Check it backward: 79.2 × 3,600 = 285,120, which matches step 2 exactly.

Answer: 79.2 feet per second

Every regeneration swaps the vehicle, the units, and the numbers. The two step conversion never changes.

Where students lose the point

Mismatched proportion positions. If miles sit on top on the left side, miles must sit on top on the right side. Building a proportion with the pairs crossed solves cleanly to a wrong answer, which is why it works as a trap.
Converting only half the rate. Miles per hour to feet per second needs both conversions. Stopping at feet per hour, or seconds with miles, lands on a planted wrong choice every time.
Reading per backward. Dollars per ounce puts ounces in the denominator. Compute ounces per dollar instead and the comparison flips, and so does your answer.
Part to part versus part to whole. A ratio of 3 to 5 for red to blue means red is 3/8 of the total, not 3/5. The SAT writes both fractions into the answer choices on purpose.

Using Desmos here

Desmos is a superb conversion calculator. Type the whole chain as one expression, 54 × 5280 ÷ 3600, and let it carry the arithmetic while you track the units in your head. What Desmos cannot do is choose the setup: it will happily evaluate an upside down proportion to full precision. Satified includes the same built in Desmos as the real test, so you can practice keeping the thinking and delegating the arithmetic.

Why drilling here is different

Satified's ratio and rate drills are generators, not a fixed worksheet. Every load produces new quantities, new units, and freshly shuffled choices at easy, medium, and hard difficulty, so the proportion setup becomes something you do, not something you remember. Every answer and explanation in the bank of 1,483 questions has been independently verified.

Fresh numbers every load, forever.

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Questions students ask

How many ratio, rate, and unit questions are on the SAT?: SAT Math runs two modules of 22 questions in 35 minutes each, and the second module adapts to how you did on the first. Problem Solving and Data Analysis fills about 15 percent of the 44 questions, roughly 7, and ratios, rates, and units usually claim 2 to 3 of those.
Do I need to memorize unit conversions?: Know the everyday ones: 60 minutes in an hour, 60 seconds in a minute, 100 centimeters in a meter, 1000 meters in a kilometer. Anything unusual, like feet in a mile, is stated inside the question, so read for the conversion before you panic.
What is the difference between a ratio and a rate?: A ratio compares quantities of the same kind, like 3 cups of flour to 2 cups of sugar. A rate compares different units, like miles per hour. The SAT treats both the same way: build a fraction, keep the units straight, and scale it.
Can I solve these questions with Desmos?: Desmos handles the arithmetic beautifully, especially long conversion chains typed as one expression. It cannot decide what goes in the numerator and the denominator. That setup step is the actual skill, and it is what our drills train.
Is this practice really free?: Yes. Every drill regenerates with fresh numbers each time you load it, and there is no account, paywall, or ad anywhere on Satified.

Keep going

Ratios feed directly into the rest of this domain: percentages are ratios out of 100, and unit thinking returns inside every data question.