8.6 Choosing Your Math Test: Arithmetic, QAS, or AAF

Key Takeaways

  • The three math tests are Arithmetic, QAS, and AAF, each 20 questions scored on the same 200 to 300 scale.
  • QAS targets non-STEM and undecided students; AAF targets STEM and quantitative majors.
  • The same 200 to 300 scale means a score is only interpretable alongside the name of the test that produced it.
  • Handheld calculators are prohibited on all computer-adaptive math tests; an on-screen calculator appears only on designated items.
  • COMPANION paper forms are 40 questions and have their own calculator rules that differ by test.
Last updated: August 2026

Three Tests, One Scale, Different Destinations

ACCUPLACER's mathematics component is not one test. It is three separate placement tests, each 20 questions, each reported on the same 200–300 scale:

TestOfficial Target Population
ArithmeticStudents needing foundational computation assessment
Quantitative Reasoning, Algebra, and Statistics (QAS)"Students entering many non-STEM fields of study or ... students who are undecided on a major"
Advanced Algebra and Functions (AAF)"Students entering STEM fields of study, as well as students entering non-STEM fields ... that require some advanced math (e.g., medicine, economics, accounting)"

The shared scale creates a trap worth stating plainly: a 265 on Arithmetic and a 265 on AAF are not comparable achievements. They describe different competencies, and institutions map them to entirely different courses. A score is meaningful only together with the name of the test that produced it.

Content Comparison

Content AreaArithmeticQASAAF
Whole number operations
Fraction operations
Decimal operations
Percent
Number comparisons and equivalents
Rational numbers
Ratio and proportional relationships
Exponents
Algebraic expressions
Linear equations
Linear applications and graphs
Probability and sets
Descriptive statistics
Geometry for Pre-Algebra
Geometry for Algebra 1
Factoring
Quadratics
Functions
Radical and rational equations
Polynomial equations
Exponential and logarithmic equations
Geometry for Algebra 2
Trigonometry

Two observations follow.

The overlap between QAS and AAF is small — only Linear equations, Linear applications and graphs, and Geometry for Algebra 1 appear on both. Preparing for one does not substantially prepare you for the other.

Arithmetic shares nothing with either. It is a distinct assessment of computational fluency, not a lighter version of QAS.

Which Test Will You Take?

Institutions handle this in one of three ways, so check your college's testing page before test day:

  1. Institution-assigned. The college specifies the test based on your intended program. Most common.
  2. Branching. You begin with QAS; a sufficiently high score routes you into AAF for a chance at higher placement, or a low score routes you into Arithmetic for a more precise diagnosis. Branching rules are set locally, not by the College Board.
  3. Student choice. Less common, and it puts the decision on you.

Where you have a choice, the reasoning is straightforward:

  • Intending calculus, engineering, physics, chemistry, computer science, economics, or a health-science track? Take AAF. Only AAF can place you into precalculus or calculus, because only AAF assesses functions, logarithms, and trigonometry.
  • Intending a humanities, social science, education, or general studies pathway, or undecided? QAS aligns with statistics and quantitative-reasoning gateway courses.
  • Arithmetic is generally assigned rather than chosen, and it cannot place you into credit-bearing algebra.

The asymmetry that matters: taking AAF and scoring modestly usually costs you nothing, since institutions typically also accept the result for lower placements. Taking QAS and scoring well can still leave you unable to enter calculus, because QAS never assessed the prerequisite material. Where the choice is genuinely yours and your program requires advanced math, the higher test is the safer selection.

Calculator Policy

The rules are specific and differ between adaptive and paper forms.

Computer-Adaptive Tests (all three)

The use of handheld calculators should not be allowed on any computer-based ACCUPLACER math placement tests. Questions that are configured to allow for the use of a calculator will present a calculator icon in the top right corner of the screen.

So: no personal calculator, on any of the three. An on-screen calculator appears only on designated items — those where computation is not the skill being measured. The absence of the icon is itself information: that question is testing your ability to compute, and the arithmetic will be manageable by hand.

Students with a documented disability may use a handheld calculator when it is an approved accommodation.

COMPANION Paper Forms (40 questions)

The rules diverge by test:

COMPANION TestCalculator Permitted
ArithmeticNone. Some assessed material cannot be measured properly with a calculator.
QASFour-function only. Scientific and graphing calculators prohibited.
AAFFour-function or scientific. Graphing calculators prohibited.

Preparing Efficiently

Because the content areas barely overlap, identify your test first and study its blueprint. A student assigned QAS who spends three weeks on trigonometry has prepared for questions that cannot appear.

Allocate roughly in proportion to the published question ranges:

  • QAS: the largest allocations are Ratio and proportional relationships (3–4) and the two linear areas (2–4 each). Those three account for roughly a third of the test.
  • AAF: Functions (2–4) is the largest, followed by the linear and quadratic areas (2–3 each).
  • Arithmetic: all five areas carry equal weight (3–5 each), so distribute time evenly.

And remember that all three are untimed. The constraint is accuracy and stamina, not speed.

Test Your Knowledge

A student intends to major in mechanical engineering and is allowed to choose between the QAS and AAF tests. Which is the better choice and why?

A
B
C
D
Test Your Knowledge

During the computer-adaptive QAS test, a student notices that no calculator icon appears on the current question. What does this indicate?

A
B
C
D
Test Your Knowledge

Which content area appears on BOTH the QAS and AAF tests?

A
B
C
D