ACCUPLACER Arithmetic vs QAS vs AAF: Which Math Test Is Yours?

If your college sent you to take the ACCUPLACER, you will probably see three math test names: Arithmetic, Quantitative Reasoning, Algebra, and Statistics (QAS), and Advanced Algebra and Functions (AAF). They share a score scale but measure very different skills. This guide explains what each test covers, how colleges decide which one you see, and how to prepare for the right one.

The three Next-Generation ACCUPLACER math tests at a glance

All three are Next-Generation ACCUPLACER tests published by the College Board. According to the College Board’s Next-Generation test specifications manual, each computer-adaptive version has 20 operational multiple-choice questions and produces a single placement score. Each test is reported on a 200-300 scale, broken into seven score bands. The College Board’s program overview also reminds students that ACCUPLACER is untimed.

The last row is a general pattern, not a rule. Which course each score leads to is decided by your college, as you will see below.

Arithmetic: number sense and computation

The Arithmetic test checks whether you can work comfortably with numbers. The specifications manual lists five content areas, each worth about 3 to 5 of the 20 questions:

• Whole number operations
• Fraction operations
• Decimal operations
• Percent
• Number comparisons and equivalents (for example, ordering 0.45, 4/9 and 46%)

Because the areas are weighted about evenly, a weak spot in fractions or percents can pull the whole score down. Many Arithmetic questions are designed to be done without a calculator, so practice long division, fraction arithmetic and decimal multiplication by hand.

QAS: the middle test most students start with

Quantitative Reasoning, Algebra, and Statistics is the broadest of the three. Its ten content areas are rational numbers, ratio and proportional relationships, exponents, algebraic expressions, linear equations, linear applications and graphs, probability and sets, descriptive statistics, geometry concepts for pre-algebra, and geometry concepts for Algebra 1. No single area takes more than about 4 questions, so QAS rewards steady, wide preparation more than deep expertise in one topic.

Expect word problems built on proportions (unit rates, scale, percent change), one-variable linear equations, reading a slope or intercept from a situation, finding a mean or median, and simple probability. If you finished Algebra 1 and have not forgotten it, this is usually your home test.

AAF: advanced algebra, functions and some trigonometry

Advanced Algebra and Functions is the test for students headed toward precalculus, calculus or other STEM courses. The specifications manual lists eleven content areas with these question ranges:

• Linear equations (2-3) and linear applications and graphs (2-3)
• Factoring (1-2) and quadratics (2-3)
• Functions (2-4)
• Radical and rational equations (1-3) and polynomial equations (1-3)
• Exponential and logarithmic equations (1-3)
• Geometry concepts for Algebra 1 (1-2) and Algebra 2 (1-2)
• Trigonometry (1-3)

Functions are the single largest area, so function notation, composition, domain and range, and reading graphs deserve real study time. Notice that only a few linear and geometry topics overlap with QAS. Scoring well on QAS does not mean you are ready for AAF; the factoring, logarithms and trigonometry are new material for many students.

Score scale, score bands and cut scores

Every Next-Generation math test reports a score from 200 to 300. The College Board describes seven bands (200-220, 221-230, 231-240, 241-250, 251-260, 261-270 and 271-300), each with a description of what students in that band can typically do. The College Board explains that the score comes from an adaptive algorithm that weighs both the difficulty of each question and whether you answered it correctly. That is why a scaled score is not a percentage: a 250 does not mean you got half the questions right.

There is also no national passing score. Each college sets its own cut scores. Two published examples show how different the numbers and the tests can be:

Sources: Eastern Florida State College placement scores (QAS scores on or after August 1, 2022) and the LSUE cut score sheet (for first-time students entering Fall 2023). At Eastern Florida, an AAF score of 250-269 places into precalculus algebra, trigonometry or statistics, and 270-300 places into Precalculus Algebra/Trigonometry. These are examples only; check your own college’s current table before you test. For a deeper look at what counts as a strong result, read our guide to what a good ACCUPLACER score is.

How colleges route you between the tests

Which tests you see depends on your college’s branching profile. The College Board lets each institution decide where students start and what score sends them up or down to another test. Common setups include:

• Start with QAS, branch up. At Kean University, all students begin with QAS, and some are then given AAF based on their QAS score.
• Start based on your background. Sauk Valley Community College starts students who have taken a year of algebra on QAS and everyone else on Arithmetic, with a possible move to the next test.
• Branch down. Some colleges send students with a low QAS score to Arithmetic to decide which developmental course fits.
• Assigned by program. Some schools assign AAF to STEM or health majors and QAS to everyone else.

Because of branching, you may take one, two or even all three tests in a single session. Each one is still scored separately on the 200-300 scale, and a 255 on Arithmetic means something very different from a 255 on AAF.

How to tell which test you need

Use these questions in order:

1. Ask the testing center. Email or call and ask: “Which ACCUPLACER math test do I start on, and what score moves me to the next one?” Also ask which score you need for the first course in your program.
2. Look at your program’s first math course. If your major needs precalculus or calculus (engineering, physics or business calculus, for example), plan for AAF. If it needs statistics or quantitative reasoning, QAS is usually the target.
3. Be honest about your last math class. If you have not taken algebra in years, solid Arithmetic and early QAS skills come first, even if you hope to branch higher.
4. Take a short diagnostic. Our free ACCUPLACER math diagnostic gives one question per key topic and shows where your gaps are before you choose what to study.

Calculator and test-day rules

Handheld calculators are not allowed on the computer-based tests unless you have an approved accommodation. On selected questions, an on-screen calculator appears; the College Board overview describes options that can include a four-function calculator, one with a square root key, and a graphing calculator on questions where it fits. On questions where a calculator would defeat the purpose (for example, a fraction computation item), no calculator is offered. The adaptive format also means you answer every question in order, and the College Board notes that students must answer each item. Read every question twice and check your work before you submit it.

What this means for you: a study plan by test

Here is a practical way to turn the content lists into a plan. Adjust the weeks to your test date.

If you will start on Arithmetic

• Week 1: fractions (all four operations, mixed numbers) and decimals by hand.
• Week 2: percent problems (percent of, percent change, discounts), plus converting between fractions, decimals and percents.
• Week 3: mixed practice, then start QAS ratio and linear equation topics in case you branch up.

If you will start on QAS

• Week 1: ratios, proportions, rates and percent change (the largest QAS area).
• Week 2: linear equations, slope and graphs, and exponent rules.
• Week 3: mean, median, probability and geometry basics (area, perimeter, angles, Pythagorean theorem).
• Week 4: full practice tests and an error log, plus factoring and function notation if AAF is possible.

If you are aiming for AAF

• Week 1: a quick QAS review, since you may start there, then factoring and quadratics.
• Week 2: functions (notation, composition, inverses, graphs).
• Week 3: radical, rational, exponential and logarithmic equations.
• Week 4: right-triangle trigonometry and the unit circle, then full practice tests.

A worked example: suppose your college places students with QAS 268 or higher into College Algebra and lets them try AAF. With about 20 questions and no single area above 4 questions, you cannot skip any QAS topic and expect a high score. Spend most of your time on proportional reasoning and linear topics (together roughly a third of QAS), but finish at least one pass through statistics and geometry. For more strategy, see how to pass the ACCUPLACER math test and the skill checklist in what skills you need for the ACCUPLACER math test. When you are ready to practice, our ACCUPLACER math center has free practice tests for Arithmetic, QAS and AAF.

Bottom line

Arithmetic tests computation, QAS tests pre-algebra through Algebra 1 with some statistics, and AAF tests advanced algebra, functions and trigonometry. All three use 20 adaptive questions, a 200-300 scale and no time limit, but your college decides where you start, when you branch, and which score places you into each course. Find out your college’s branching rules and cut scores first, then study for the test you will actually see.

Practice Quiz: 10 ACCUPLACER Math Questions

Frequently Asked Questions

Do I have to take all three ACCUPLACER math tests?

Usually not. Most colleges start you on one test, often QAS, and only move you to Arithmetic or AAF if your score crosses a threshold they set. Some students take one test, others take two or three in the same sitting. Ask your testing center for its branching rules before test day.

Is AAF harder than QAS?

Yes. AAF covers factoring, quadratics, functions, polynomial, radical, exponential and logarithmic equations, and trigonometry, which go beyond the pre-algebra and Algebra 1 content of QAS. Since both use the same 200 to 300 scale, a score on AAF is not directly comparable to the same number on QAS.

What is a passing score on the ACCUPLACER QAS?

There is no national passing score. Each college sets its own cut scores. For example, Eastern Florida State College places QAS scores of 268 to 300 into College Algebra, while LSUE places 263 to 300 directly into College Algebra. Check your college's current placement table.

How many questions are on the ACCUPLACER math test?

Each computer-adaptive Next-Generation math test (Arithmetic, QAS and AAF) has 20 operational multiple-choice questions, according to the College Board's test specifications. If your college branches you into a second or third test, you answer another set of questions for each one.

Can I use my own calculator on the ACCUPLACER?

No, not on the computer-based tests unless you have an approved accommodation. An on-screen calculator appears only on certain questions. When no calculator icon shows, the question is meant to be solved by hand, so practice fractions, decimals and percents without one.

Is the ACCUPLACER math test timed?

No. The College Board describes ACCUPLACER as untimed, so you can work carefully. Your testing center may still have session or closing-time limits, so ask how long you should plan to be there.

Sources

• College Board: Next-Generation ACCUPLACER Test Specifications Manual
• College Board: Next-Generation ACCUPLACER Overview (March 2017)
• College Board: What ACCUPLACER Scores Mean
• College Board: How ACCUPLACER Is Scored
• Eastern Florida State College: Placement Requirements
• LSUE: ACCUPLACER Cut Scores
• Kean University: Next-Generation ACCUPLACER Tests
• Sauk Valley Community College: ACCUPLACER Exam