Checked October 21, 2026. Medium. The State Department names the area in one phrase (practice-test instructions, modified Feb 18, 2026, now offline and read from an archived copy) and publishes no topic list. The map below is ours, built from older official descriptions; it will change if the Department publishes one.
Math and statistics is one of four Job Knowledge areas on the FSOT, and the State Department describes it in three words. Its practice-test instructions say Job Knowledge was revised "to only have questions on U.S. government, history, and society; world history and geography; economics; and math and statistics". Nothing official lists the topics inside "math and statistics", how many of Job Knowledge's 50 questions they take, or how hard they are. This guide gathers every official signal there is, turns them into a topic map, which is ours and labelled so, and shows how to practise at the pace the part demands, without a calculator. It contains no practice questions; the practice test on this page does that, with one question free. ProSyllabus is an independent study site. It is not affiliated with the US Department of State, its Board of Examiners or Pearson VUE, and nothing here is official. Every rule is quoted or summarised from State Department and Pearson VUE pages, and the Department decides every candidacy.
Practice-test instructions (State Department, 2025-26); Pearson VUE FSOT page (updated Sep 25, 2026, read Oct 21, 2026).
Where other pages get this wrong
No official topic list exists for FSOT math and statistics, and its share of the test is not published.
Commonly published instead: Pages that give the FSOT a fixed number of math questions, a list of math topics presented as official, or a separate "quantitative" section.
The only current official wording is the three words "math and statistics" in the practice-test instructions. Math sits inside Job Knowledge; the three parts of the test are Job Knowledge, English Usage and Comprehension, and Logical Reasoning.
Every official signal about FSOT math
| Signal | Source and date | What it tells you |
|---|---|---|
| Job Knowledge content "revised to only have questions on ... economics; and math and statistics" | State Department practice-test instructions (modified Feb 18, 2026; archived Oct 7, 2026) | Math and statistics is in, and is one of only four areas |
| Part 1: 50 questions, 35 minutes, four options each, one point each, no penalty for guessing | Official practice test and its 2025 Job Knowledge instructions | A math item gets the same 42-second average as any other |
| Calculators not allowed in the room for an online test; a digital whiteboard on screen | Pearson VUE FSOT and OnVUE pages, read Oct 21, 2026 | Our reading: plan to do every calculation by hand or in your head |
| "a general understanding of basic mathematical and statistical procedures. Items requiring calculations may be included." | FSOT Information Guide, 2016-17 (old format) | The last official definition of the area: basic, and partly calculation |
| "Basic knowledge of statistics (e.g., mean, mode, standard deviation, etc.)" | The same guide, describing its sample math question | Descriptive statistics was in scope before the overhaul |
| "Introduction to Statistics" among related college courses | The same guide, "Related Areas of Study" | Our reading: an introductory level, not calculus |
| Quantitative Analysis: "to recognize patterns or trends in numerical data; to perform simple mathematical operations" | The 13 dimensions of the old oral assessment (careers.state.gov, 2020) | How the Department has described the numeracy it wants in officers |
The last four rows are older official descriptions. They describe the test before October 2025 and the old oral assessment, and they are shown as the best guide to level and scope, not as a description of today's test.
The topic map (ours)
The six groups below are our reading of those signals. Each row says which official wording it rests on. They are also the groups the Mathematics and Statistics questions of our own practice set are written to, so you can see what we test; the real test may test less, or test it differently.
| Group (ours) | Topics inside it (ours) | Official wording it rests on |
|---|---|---|
| Percentages | Percent of a number; percent change up and down; successive changes (a cut then a rise); percent against percentage points | Basic mathematical procedures (2016-17 guide); calculations may be included |
| Ratios, rates and proportion | Dividing an amount in a ratio; unit rates; average speed over two legs; scale on a map or plan; currency conversion at a given rate | Basic mathematical procedures; the old Quantitative Analysis dimension: "perform simple mathematical operations" |
| Money and interest | Simple interest; compound interest over two or three periods; budgets and shares of a total | Basic mathematical procedures; economics questions also lean on it |
| Descriptive statistics | Mean, median, mode, range; weighted mean of two groups; the effect of an outlier on the mean and median; what standard deviation measures | The 2016-17 guide's example: "Basic knowledge of statistics (e.g., mean, mode, standard deviation, etc.)" |
| Probability | Single events; two independent events; "at least one"; outcomes of two dice or two coins | Statistical procedures; "Introduction to Statistics" in the guide's list of related courses |
| Reading data | Pulling a figure from a table or chart; comparing two series; spotting a trend | The old Quantitative Analysis dimension: "recognize patterns or trends in numerical data" |
Math and statistics: your topic check
Tick each group you can do quickly without a calculator. Your ticks stay in this browser only.
The FSOT changed in October 2025. Practise the new test at full length.
125 original questions across Job Knowledge, English and the new Logical Reasoning part, at the lengths of the State Department's practice test. Check each answer and read the reasoning. Try one question free, below.
- 125questions
- 3timed parts
- 115minutes in all
- 125answers explained
Every answer comes with its reasoning, and every question was cross-checked before it went into the test.
Under the US Constitution, which body has the power to declare war?
The other 124 questions and the three timed runs are in the full test
- 125 questions: Job Knowledge 50 in 35 min · English 45 in 35 min · Logical Reasoning 30 in 45 min
- A timed run for each part with a clock, which the official practice test does not have
- Your score for each part and each skill, so you know where your marks are going
- The reasoning behind every answer, including why the tempting wrong option is wrong
Independent practice material. Not written or endorsed by the US Department of State; these are original questions, not items from the official practice test or the live FSOT.
The topic check needs JavaScript. On a page version without it, use the table above as the checklist.
Pace: math competes with the rest of Job Knowledge
Job Knowledge gives you 35 minutes for 50 questions: about 42 seconds each on our arithmetic. In our estimate, a history question you know takes ten seconds and a two-step percentage question can take a minute. That trade is the whole skill. Three habits help. First, write the starting figure before you look at the options, because the classic wrong answers in percentage and ratio questions come from the wrong base. Second, estimate before you calculate: four options are often far enough apart that a rounded figure picks the answer. Third, if a calculation is still running at a minute, guess, flag and move on; the practice test says there is no penalty for guessing.
Minutes x 60 / questions, rounded. The pace is almost unchanged, but the part now covers four areas instead of the old guide's longer list, so the four areas, math included, share the 50 questions among fewer neighbours (our reading; no split is published).
What is not on the map, and why
| Topic | Our reading | Why |
|---|---|---|
| Calculus, trigonometry, proofs | Not expected | The last official definition (2016-17) says "basic"; the related course it names is "Introduction to Statistics" |
| Statistical tests (p-values, confidence intervals) | Unlikely beyond the idea | The 2016-17 example names mean, mode and standard deviation, all descriptive |
| Long calculations | Unlikely | No calculator, and 42 seconds a question on average |
| Data in economics questions | Possible overlap | Economics is its own area, but questions on GDP growth or real wages are percentage questions underneath |
This table is our reading of the official wording, not an official exclusion list.
How to practise it
A two-week math block (ours)
- Days 1 to 3: percentages and ratios, by hand, until percent change and successive changes are automatic.
- Days 4 to 5: interest, averages and weighted means; then the effect of one outlier on a mean and on a median.
- Days 6 to 7: probability of one and two events, and "at least one".
- Week 2: mixed sets at 42 seconds a question, then the Job Knowledge part of a full timed run, so math sits among history and economics as it will on the day.
- Keep a miss log by group from the map above. Two misses in the same group means another day on it.
For where math fits in a whole six-week plan, see the study guide in this series.
To practise: the FSOT topic quizzes include a Mathematics and Statistics quiz of 10 questions with explanations; Part 1 of the State Department's free practice test has 50 Job Knowledge questions at the practice test's pace; and the timed practice test on this page has a Job Knowledge part with math among the four areas. For the other three areas, see the Job Knowledge guide; for a week-by-week plan, the six-week FSOT study guide.
What we could not confirm
- An official list of math and statistics topics for the current FSOT.
- How many Job Knowledge questions are math and statistics. The State Department publishes no split.
- Whether test-center candidates get any calculator. Pearson VUE's FSOT page lists calculators among items not allowed in the room in its online-testing rules; we found no exception for test centers.
We do not reproduce the State Department's practice questions.
Nothing on this page is career or legal advice. For specific questions about the Foreign Service Officer Test, Pearson VUE gives the State Department address FSOTQuestions@state.gov.
Page history: first published October 21, 2026, verified against careers.state.gov (archived instruction pages) and Pearson VUE that day.
Frequently asked questions
Is there math on the FSOT?
Yes. Math and statistics is one of the four Job Knowledge areas the State Department names, alongside US government, history and society; world history and geography; and economics.
How many math questions are on the FSOT?
The State Department does not say. Job Knowledge has 50 questions in 35 minutes on the practice test, and no split between its four areas is published.
What math topics are on the FSOT?
No official list exists. The last official definition (2016-17) is a general understanding of basic mathematical and statistical procedures, with calculations possible, and names mean, mode and standard deviation. Our topic map adds percentages, ratios, interest, simple probability and reading data.
Can I use a calculator on the FSOT?
For an online test, Pearson VUE lists calculators among the items not allowed in the room and provides a digital whiteboard on screen. Practise by hand.
How hard is FSOT math?
No current page says. The last official description, in the 2016-17 guide to the old format, calls it basic and names Introduction to Statistics as a related course; our reading is that the level is similar now. The pressure is time: about 42 seconds a question across Job Knowledge.
Is there a separate quantitative section on the FSOT?
No. The three parts are Job Knowledge, English Usage and Comprehension, and Logical Reasoning. Math is inside Job Knowledge.
Is there a penalty for wrong answers in math questions?
No. The practice instructions say there is no penalty for guessing, so answer every question.
More in this series
- FSOT eligibility: citizenship and age
- FSOT sections, question counts and timing
- FSOT scoring and results
- FSO selection stages and the Register
- FSOT dates, registration and the 12-month rule
- Free FSOT practice test and test day
- FSOT Job Knowledge practice questions
- FSOT essay and Personal Narratives
- FSOA Written Exercise: guide and practice
- FSOA Structured Interview questions
- FSOA Negotiation Exercise guide
- FSOT Logical Reasoning section
- The QEP, and what happens after you pass the FSOT
- FSOT: what was removed and what replaced it
- FSOT study guide: a six-week plan
- FSOT English Usage and Comprehension
- The 13 dimensions, now 11 competencies
- US FSOT notice board — official updates
Sources
- official — careers.state.gov — "Instructions to the Online Practice FSOT" (page modified Feb 18, 2026), Wayback capture of Oct 7, 2026: the revised content of each part, "There is no longer a written essay", "the FSOT no longer has a passing score". The live page no longer exists (checked Oct 21, 2026)
- official — careers.state.gov — "INSTRUCTIONS – Job Knowledge" (2025 practice test, page dated Sep 5, 2025), Wayback capture of Oct 6, 2025: 35 minutes, 50 questions, no penalty for guessing
- official — State Department official online practice FSOT (Microsoft Form linked from careers.state.gov; pages 1-3 read Oct 14, 2026, nothing answered or sent): Part 1 Job Knowledge, 50 questions in 35 minutes, each with four options and one point
- official — Pearson VUE — Foreign Service Officer Test (FSOT) page, "Last updated 2026-09-25", read Oct 21, 2026: testing windows (October 10-31, 2026; January 30 - February 6, 2027, registration opens December 31, 2026), the score report that "indicates whether they passed or failed", closed-book rule and the items not allowed (calculators among them), one test in 12 months
- official — Pearson VUE — FSOT online exams with OnVUE, read Oct 21, 2026: candidates have access to a digital whiteboard; no physical whiteboards or writing materials
- official — careers.state.gov — FSOT Information Guide PDF ("©2016 by HumRRO"; the 2016-17 guide to the OLD format, still at this address), Wayback copy of Dec 6, 2025, read Oct 21, 2026: the old knowledge areas, English Expression 65 questions in 50 minutes, Job Knowledge 60 in 40, the 13 dimensions and the exercises that scored them
- official — careers.state.gov — "13 Dimensions" page (dated Dec 9, 2020), Wayback capture of Jun 20, 2022: the thirteen dimensions and their definitions. The address now redirects
- official — US Department of State, Fact Sheet "U.S. Department of State Announces Reforms to the U.S. Foreign Service" (Apr 1, 2026; re-read Oct 21, 2026 through a text reader): FSOT overhauled, "adding questions on American history and logical reasoning"; Written Examination replaces the QEP; oral exam redesigned
- official — careers.state.gov — Foreign Service Officer page (modified Oct 19, 2026, read Oct 21, 2026 through the site's REST API): the revamped FSOT first given October 18-25, 2025; logic and reasoning added, situational judgement discontinued
official = a document published by the conducting body. reported = a news or coaching site we could not check against an original. Where sources disagree this page says so rather than picking one.
