USPC / M / 01
Middle school math
Ratio, integers and early algebra.
Open the syllabusUnited States · Kindergarten to college · Placement, readiness and credit
American math has no single exit exam. Instead a student passes through a chain of tests owned by different organizations: a growth test a few times a year in elementary and middle school, a placement decision before Algebra 1, the SAT Suite or the ACT family in high school, and then a college placement or credit exam. This guide puts the whole chain in one table, says what each test decides, and links the page for your test.
Live math teaching since 2020 · 10,000+ students · we teach the math, never leaked or copied items
The short answer
US math placement runs in stages. Schools use growth tests (NWEA MAP Growth, i-Ready) and local placement exams for middle school tracks; high schools give the PSAT 8/9, PSAT/NMSQT, PreACT, SAT and ACT; colleges place new students with ACCUPLACER, ALEKS PPL or, in Texas, TSIA2, and award credit through CLEP or AP. Modern Age Coders teaches the math behind each one live online, in a group batch or 1-on-1.
Three courses that cover the ladder
One course for the college placement tests, one for the four years of high school math underneath them, and one for the SAT Math section that so many of those decisions lean on.

USPC / 01
ACCUPLACER, ALEKS PPL, TSIA2 and CLEP College Algebra, from age 15.
Open the syllabus →
USPC / 02
The courses every readiness test samples, grades 9 to 12.
Open the syllabus →
USPC / 03
The digital SAT Math section and its Desmos calculator.
Open the syllabus →The master table
Fourteen tests cover nearly every route from kindergarten to a first college math course. Every fact below comes from the organization that owns the test.
| Test | Run by | Who takes it | Format | Calculator | Score scale |
|---|---|---|---|---|---|
| MAP Growth Math | NWEA | Grades K to 12, usually fall, winter and spring | Computer adaptive, untimed, around 43 questions | See NWEA and the school | RIT scale, the same meaning at every grade |
| i-Ready Inform (formerly i-Ready Diagnostic) | Curriculum Associates | Grades K to 12, up to three times a year | Adaptive | See the school | Scale scores and placement levels such as Needs Improvement |
| PSAT 8/9 | College Board | Grades 8 and 9 | Digital, multistage adaptive, two modules per section | Desmos built in, or an approved handheld | 240 to 1440 total, 120 to 720 per section |
| PSAT 10 | College Board | Grade 10, spring | Digital, multistage adaptive | Desmos built in, or an approved handheld | 320 to 1520 total, 160 to 760 per section |
| PSAT/NMSQT | College Board with NMSC | Grades 10 and 11; grade 11 for National Merit entry | Digital, multistage adaptive | Desmos built in, or an approved handheld | 320 to 1520; Selection Index 48 to 228 |
| PreACT 8/9 and PreACT | ACT | Grades 8 to 10 | Online, and paper for PreACT 8/9; Math 36 items, 32 scored, 45 minutes on the new PreACT blueprint | Ask the school | 1 to 36; top score 30 on PreACT 8/9, 35 on PreACT |
| SAT | College Board | High school students, mostly grades 11 and 12 | Digital, multistage adaptive; Math 44 questions in 70 minutes | Desmos built in, or an approved handheld | 400 to 1600 total, 200 to 800 for Math |
| ACT | ACT | Grades 11 and 12 | Math 45 items in 50 minutes (enhanced ACT) | Bring your own permitted calculator | 1 to 36; Composite is the average of English, math and reading |
| ACCUPLACER math | College Board | New college and dual enrollment students | Three tests (Arithmetic, QAS, AAF), adaptive, untimed in most instances | Onscreen only, on some questions | 200 to 300 per test, no pass or fail |
| ALEKS PPL | McGraw Hill | Students placing into college math | Open response, adaptive, 25 questions or fewer, up to five attempts | See the college's ALEKS instructions | See McGraw Hill and the college |
| TSIA2 Mathematics | College Board for Texas public colleges | Students entering Texas public colleges unless exempt | Adaptive, untimed; 20-question CRC test, then a 48-question diagnostic if needed | No handheld calculator; pop-up calculators on some questions | Benchmark 950 to 990 on the CRC test, or below 950 with diagnostic level 6 |
| CLEP College Algebra | College Board | High school, homeschool and adult learners seeking credit | About 60 questions in 90 minutes | TI-30XS MultiView built in | 20 to 80; ACE recommends credit at 50 |
| CLEP Calculus | College Board | Learners seeking first-semester calculus credit | 44 questions in about 90 minutes, two sections | None in Section 1; online graphing in Section 2 | 20 to 80; ACE recommends credit at 50 |
| AP Precalculus exam | College Board | Students in the AP Precalculus course | 42 multiple-choice and 4 free-response questions; Tuesday, May 11, 2027 | Required on some parts, not permitted on others | See College Board's AP pages |
Sources: NWEA MAP Growth family questions; Curriculum Associates, i-Ready Inform; College Board, understanding SAT Suite scores and the 2026 to 2027 PSAT student guides; ACT, PreACT and ACT's score and calculator pages; ACCUPLACER; McGraw Hill, ALEKS PPL; College Board's TSIA2 brochure; CLEP College Algebra and CLEP Calculus; AP Central, AP Precalculus exam. A "see" cell means the owner's page did not state it. We are not connected with any of these organizations.
Growth tests (MAP Growth, i-Ready) follow a child through a school year. Readiness tests (the PSAT family, PreACT, SAT, ACT) report a scale score that colleges and scholarship programs read. Placement and credit tests (ACCUPLACER, ALEKS PPL, TSIA2, CLEP, AP) decide which college math course you may take, or let you skip one.
Publishers rarely set the line between tracks or courses. NWEA does not recommend MAP Growth "for grade-level advancement or accountability purposes", and CLEP says each institution "reserves the right to set its own credit-granting policy." So always ask: whose table turns my score into a decision?
Elementary and middle school
They give the school evidence, and the school decides, usually by adding a district rule or a local exam.
NWEA describes MAP Growth Math as untimed and available from kindergarten to grade 12, with a child answering "around 43 questions" that adapt as they go. The RIT score means the same at every grade, which is how a teacher sees growth from fall to spring. Our MAP Growth math page is for a parent holding a RIT report who wants home practice that is not item drilling.
Curriculum Associates renames its diagnostic i-Ready Inform from the 2026 to 2027 school year. The family report places each math domain at a level, down to Needs Improvement, and our i-Ready page works from the weakest domain rather than the overall number.
The fork comes around grades 5 to 7. Texas now enrolls sixth graders automatically in advanced math if they reach the top 40 percent on grade 5 STAAR math or a local measure; other districts use RIT scores, teacher input or a local exam. The placement test page covers the move into accelerated grade 6 and the move into Algebra 1.
For a student already ahead, the accelerated math page shows which grade 7 and 8 ideas get compressed, so nothing is skipped on the way to early Algebra 1.
A word on preparation at this stage. NWEA calls its items secure test content and warns that helping a child answer compromises the data, and an adaptive test that is gamed simply places a child too high for the next unit. What helps is steady number sense: fractions, place value and word problems read slowly, which every later test on this page relies on.
Grades 9 to 12
Every test from the PSAT onward samples the same three or four years of math, whatever the course names on the transcript.
The Common Core standards "do not mandate the sequence of high school courses" and describe an "integrated course sequence (Mathematics 1, Mathematics 2, Mathematics 3)" beside the traditional one. North Carolina requires "NC Math 1, 2, and 3 and a fourth mathematics course", and NWEA offers MAP course tests for Integrated Math 1, 2 and 3.
Our integrated pages split the years: Integrated Math 1 sets linear against exponential change, Integrated Math 2 is the quadratics year, and Integrated Math 3 brings polynomials, logarithms and inference, the content college placement probes most.
Trigonometry tutoring joins the right-triangle picture to the unit circle. Statistics tutoring is the non-AP course on variability and sampling, the data questions SAT and ACCUPLACER keep asking.
At the top, College Board describes AP Precalculus as "designed to be the equivalent of a first semester college precalculus course"; its exam is on Tuesday, May 11, 2027, with 42 multiple-choice and four free-response questions.
The SAT Suite and the ACT family
Two families, one ladder each. College Board runs the PSAT 8/9, PSAT 10, PSAT/NMSQT and SAT on linked scales; ACT runs PreACT 8/9, PreACT and the ACT on the 1 to 36 scale. Only the PSAT/NMSQT in grade 11 feeds National Merit.
| Test | Total scale | Math scale | Grades | What it is mainly for |
|---|---|---|---|---|
| PSAT 8/9 | 240 to 1440 | 120 to 720 | 8 and 9 | A baseline at the start of high school |
| PSAT 10 | 320 to 1520 | 160 to 760 | 10 | A spring check-in on the SAT scale |
| PSAT/NMSQT | 320 to 1520 | 160 to 760 | 10 and 11 | National Merit entry when taken in grade 11 |
| SAT | 400 to 1600 | 200 to 800 | 11 and 12 | College admission and some placement |
| PreACT 8/9 | 1 to 36, top score 30 | Same scale | 8 and 9 | An early look at ACT-style items |
| PreACT | 1 to 36, top score 35 | Same scale | 9 to 11 | A predicted ACT score |
| ACT | 1 to 36 | 1 to 36 | 11 and 12 | College admission and some placement |
Sources: College Board, understanding scores (the score report table), the fall 2026 PSAT/NMSQT student guide, ACT PreACT page and ACT, understanding your scores. Grade bands for PreACT are ACT's; for the SAT Suite they follow College Board's test names and guides.
All four College Board tests use "multistage adaptive testing" in the Bluebook app: the first module of each section sets the difficulty of the second. SAT Math is 44 questions in 70 minutes, with Desmos built in and an approved handheld allowed.
Our PSAT 8/9 page treats the first test as a list of what to fix in grades 8 and 9; its windows are October 1 to 30, 2026 and March 1 to April 30, 2027. The PSAT/NMSQT page covers the qualifying year, since entrants "must take the qualifying test in your third year of high school (grade 11, junior year)", and SAT math tutoring covers the SAT itself.
ACT says PreACT gives "8th, 9th, and 10th graders an early experience with ACT test items" and a predicted score; its new Math section has 36 items, 32 scored, in 45 minutes. The PreACT page explains what that predicted range can tell a ninth grader.
Enhanced ACT Math is 45 items in 50 minutes, and ACT's rule is "You must bring your own permitted calculator." ACT math tutoring is for students who have chosen that test.
Placement and credit at college
ACCUPLACER, ALEKS PPL and TSIA2 are placement tests: they decide which math course a new college student starts in. College Board says no one passes or fails ACCUPLACER, and TSIA2 adds a Texas readiness benchmark on top of the placement. CLEP and AP are credit exams: a high enough score, by the college's own policy, replaces a course on the transcript.
| Route | What it decides | Retakes and validity |
|---|---|---|
| ACCUPLACER | Your first math course | Set by the college |
| ALEKS PPL | Your first math course, Basic Math to Calculus 1 | Up to five assessment attempts |
| TSIA2 | College-level readiness at a Texas public college | Results usable up to five years |
| CLEP College Algebra or Calculus | Credit for the course, by college policy | No retake of the same title within three months |
| AP Precalculus and AP Calculus | Credit or advanced standing | One exam each May |
| Dual enrollment | A college course taken in high school | By program; usually needs placement first |
ACCUPLACER math is three separate College Board tests (Arithmetic; Quantitative Reasoning, Algebra, and Statistics; Advanced Algebra and Functions), each 200 to 300 and usually untimed, with a calculator only on screen.
McGraw Hill's ALEKS PPL is open response, covers 314 topics "in 25 questions or less" and "can be completed in 90 minutes"; retakes make the plan test, study, test again.
Texas public colleges use TSIA2: a 20-question math test, a 48-question diagnostic for some, and no handheld calculator "of any type".
CLEP College Algebra is about 60 questions in 90 minutes with a TI-30XS MultiView built in; CLEP Calculus is 44 questions with no calculator in Section 1. Both score 20 to 80, and ACE recommends credit at 50: 3 semester hours for College Algebra, 4 for Calculus.
With dual enrollment a high school student takes a real college course. Washington's Running Start "allows 11th and 12th grade students to take college courses" at 34 community and technical colleges, usually after placing first.
Grade by grade
A map to check against your own school calendar, not a schedule.
| Grade | Tests a student may meet | What the result usually changes |
|---|---|---|
| K to 5 | MAP Growth or i-Ready, up to three times a year; the state test from grade 3 | Small-group teaching and support |
| 5 to 7 | District placement exam, MAP or state scores used for tracking | Standard, compacted or accelerated math |
| 8 | PSAT 8/9 or PreACT 8/9 if the school offers it; Algebra 1 end-of-course test where taken | A baseline, and the high school starting course |
| 9 to 10 | PSAT 8/9 (grade 9), PSAT 10, PreACT, PSAT/NMSQT for practice | Course choices and a study plan |
| 11 | PSAT/NMSQT (the National Merit year), SAT or ACT, AP exams | Scholarship entry, college lists, credit |
| 11 to 12 | ACCUPLACER, ALEKS PPL or TSIA2 for dual enrollment; SAT or ACT retakes | Eligibility for college courses in high school |
| 12 and after | College placement test, CLEP, AP exams | The first college math course, or credit for it |
How to choose
Start from the decision, not the test. The same five steps suit a fifth grader's parent and an adult returning to college.
| Test | Questions and time | Seconds per question, ours |
|---|---|---|
| ACT Math | 45 in 50 minutes | 50 x 60 / 45 = 66.7, which ACT rounds to 67 |
| CLEP College Algebra | About 60 in 90 minutes | 90 x 60 / 60 = 90 |
| SAT Math | 44 in 70 minutes | 70 x 60 / 44 = 95.5 |
| CLEP Calculus | 44 in about 90 minutes | 90 x 60 / 44 = 122.7 |
| ALEKS PPL | 25 or fewer in about 90 minutes | At least 90 x 60 / 25 = 216 |
| ACCUPLACER, TSIA2, MAP Growth | Untimed | No clock: accuracy is the whole game |
A student comfortable on an untimed ACCUPLACER can still run short on the ACT, at about a minute a question, so know the pace before you practise.
Worked example, ours
Our own example, not a test item: one idea, multiplying by a growth factor, from middle school placement to college placement.
| Level | Question (ours) | Reasoning |
|---|---|---|
| Middle school placement | How many members after one year? | A 20% rise means multiply by 1.2: 45 x 1.2 = 54 |
| Algebra 1 and the PSAT 8/9 | After a 20% rise there are 54. How many were there before? | Undo the multiplier: 1.2x = 54, so x = 54 / 1.2 = 45 (not 54 minus 20%) |
| SAT, PreACT and ACCUPLACER QAS | Write a model for members after t years and find year 2 | f(t) = 45(1.2)^t, so f(2) = 45 x 1.44 = 64.8, about 65 members |
| ACCUPLACER AAF, ALEKS PPL, CLEP College Algebra | When does the club double? | 1.2^t = 2, so t = ln 2 / ln 1.2, about 3.80 years |
The second row is the usual slip: taking 20 percent off 54 gives 43.2, not 45. Writing every change as a multiplier is a grade 7 habit that a college algebra placement test is still checking, so we look for that habit before drilling anything harder.
Where students start
Our own description of who contacts us and what we usually do first.
| Who | What we do first |
|---|---|
| 1. Parent of a grade 4 to 6 child with a MAP or i-Ready report | Read the domain or goal report together, then teach the weakest strand |
| 2. Parent facing a grade 6 or 7 Algebra 1 placement | Check grade 6 and 7 content against the district's list, gap by gap |
| 3. High school student between PSAT and SAT or ACT | One official practice test, then a skill plan to the test date |
| 4. Dual enrollment student, college freshman or adult | Confirm the college's test and table, then rebuild algebra to that level |
Bring any report you have, a RIT score or a PSAT report; it tells the teacher more than a test name.
Confirm the exact test, and any exemption, before you open a practice book.
The catalogue
Live classes from middle school foundations to college-level math, grouped by where a student is on the path.
USPC / M / 01
Ratio, integers and early algebra.
Open the syllabusUSPC / M / 02
Pre-algebra into Algebra 1.
Open the syllabusUSPC / M / 03
Python for curious ages 10 to 15.
Open the syllabusUSPC / H / 01
Algebra 1 through calculus.
Open the syllabusUSPC / H / 02
The digital Math section.
Open the syllabusUSPC / H / 04
Units 1 to 3 and the exam.
Open the syllabusUSPC / C / 01
ACCUPLACER, ALEKS PPL, TSIA2, CLEP.
Open the syllabusUSPC / C / 03
AB and BC, toward CLEP Calculus too.
Open the syllabusUSPC / C / 04
After placement: calculus onward.
Open the syllabusHow classes run
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays.
Weekdays
After school, or after work for adults.
Weekends
Longer sittings for full practice tests.
1-on-1
Paced to one test and one deadline.
We ask what the score will change.
One practice test, then lessons.
Owners' free material, used as is.
Written by us, never copied items.
From MAP reports to college placement.
A class of 15 to 20, or one to one.
Student work
Older students sometimes code a placement topic, such as a growth model. More in student labs.

AI and ML
An AI nutrition coach that reads what you eat and works you toward a target.

AI and ML
A chatbot that answers mathematics and programming questions, built and deployed by a student.

AI and ML
An assistant that helps a young person recognise unsafe situations online.

Web app
A weather forecasting site with live conditions for any location.
Fees
A single monthly fee in US dollars and no long contract, so a family can book the months before a placement date and stop once the test is behind them.
Free first class
USD 0
no card required
Group batch
USD 100
a month, billed in US dollars
One to one
USD 150
a month, billed in US dollars
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Common questions
It is a test a school or college uses to decide which math course you start in. In middle school it may be a district exam or MAP and state scores; at college it is usually ACCUPLACER, ALEKS PPL or, in Texas, TSIA2. The score routes you to a course rather than giving a pass or a fail, though Texas sets a readiness benchmark on TSIA2.
ACCUPLACER is College Board's multiple-choice, adaptive system with three math tests scored 200 to 300. ALEKS PPL from McGraw Hill is open response, 25 questions or fewer, with up to five attempts. TSIA2 is the Texas Success Initiative test used by Texas public colleges, with a 20-question math test and a diagnostic if needed.
Only the college can tell you, so ask its testing center or math department. Ask also for its score-to-course table and its retake rule.
It varies. ACCUPLACER and TSIA2 do not allow your own calculator and show one on screen only for some questions. The SAT has Desmos built in and allows an approved handheld; the ACT asks you to bring your own permitted calculator.
No. College Board's 2026 student guide says only the PSAT/NMSQT counts, taken in the qualifying year, which for most students is grade 11. The earlier tests are useful baselines on the same family of scales.
Colleges that ask for scores generally accept either. Try one official practice test of each, check which one your school gives in the school day, then prepare for one.
Confirm the exact test and the college's placement table, take the owner's free practice test, and study the skills you missed rather than repeating practice tests.
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays.
No. Modern Age Coders is an independent online school. We describe each test from its owner's published pages, point you to their free practice, and teach with problems we write ourselves.
Elsewhere on this site
Courses and guides that sit next to the testing ladder rather than on it.
The subject almost every row of the table leans on.
For students aiming to place straight into calculus.
After placement, or alongside CLEP Calculus.
Reasoning screens such as CogAT, a different kind of test.
The standards most of these tests are built around.
More guides: US state math tests by state · US gifted and selective school tests · Homeschool and school math curricula guide · US math and coding competitions guide
Start here
Tell us the test, or the decision you are facing, and the date. In the first class the teacher reads your report or a short check of our own and sets out a plan to that date.
Read how we teach, or browse all our courses.
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