Discrete Mathematics Test

The Discrete Mathematics Test is a free advanced-level, 25-minute skill test from Science of Apps. It tests discrete mathematics — logic and proofs, sets, relations and functions, counting and probability, number theory and induction, and graphs, trees and recurrences used throughout computer science. Score 70% or more on its 25 questions to earn a verifiable Discrete Mathematics certificate (SOA-DISC). Every question is based on published standards and research — including Mathematics for Computer Science (6.042J) (MIT OpenCourseWare), 6.041 Probabilistic Systems Analysis (MIT OpenCourseWare) — and each answer is explained with its source.

Read the five skill areas on this page, then take the 25-minute test online — no fee, course or sign-up. You see every answer explained when you finish. Score 70% or more and you get a Discrete Mathematics certificate straight away, on screen, as a PDF and by email, with a credential ID anyone can verify.

Yes. The questions are original scenarios written by Science of Apps, and each one is based on a public source you can read: Mathematics for Computer Science (6.042J) (MIT OpenCourseWare); 6.041 Probabilistic Systems Analysis (MIT OpenCourseWare). The source is shown under each question and linked in the answer review. Science of Apps doesn't copy questions from other tests.

Five skill areas with five questions each, drawn from a bank of 10 per area so a retake brings new questions: Logic and Proofs (Propositional logic, Quantifiers and Proof techniques); Sets, Relations and Functions (Set operations, Relations and Functions); Counting and Probability (Permutations and combinations, Pigeonhole principle and Discrete probability); Number Theory, Induction and Graphs (Modular arithmetic, Induction and recurrences and Graphs and trees); Boolean Algebra, Growth and Algorithms (Boolean algebra, Asymptotic growth and Recurrences and algorithm analysis). Every question is an original scenario based on a published standard, official documentation or research, named under the question.

Computer science student, Software engineer, Mathematics student, Data scientist and Competitive programmer. It suits anyone who wants a quick, verifiable way to show Discrete Mathematics skills, from students and career switchers to experienced professionals.

Yes. The Discrete Mathematics Test is free and covers all of these: 25 scenario questions in 25 minutes, each answer explained with the source it comes from, so it works as interview and exam practice. It isn't a full course, so use the areas you miss as your study list. Scoring 70% or more earns a verifiable certificate.

Yes. The test is online, in English and free everywhere — people take it from India, the US, the UK, Europe, Africa, Latin America and Asia-Pacific. Your certificate is dated with your own local date and can be verified from anywhere at scienceofapps.com/certification/verify/.

25 questions — 5 from each of 5 skill areas — with a 25-minute limit. You need 70% (18 of 25) to pass and 90% for distinction.

We rate it Advanced: assumes years in the role or deep specialist knowledge. It has 25 scenario questions — 5 from each of 5 skill areas — and a 25-minute limit. You need 70% (18 of 25) to pass and 90% for distinction.

Nothing. There is no fee to take a test, to receive the certificate, to have it emailed or to verify it, and no sign-up.

On our server, not in your browser. The answers never reach the page until you submit, so a certificate can only be earned by passing. Each certificate gets a unique credential ID stored by Science of Apps.

You see your score for each area and every question with the correct answer and why, with the published source behind it. You can retake after 30 minutes, and the retake draws questions you haven't seen yet.

No. Every certificate is dated, so it always shows when you passed. Retake a test any time for a newer date or a higher score.

Yes. After you pass, Add to LinkedIn opens the Licenses & certifications form with the certificate name, Science of Apps as the issuer, the issue date, your credential ID and the verification link filled in. You can also download it as a PDF or PNG, and it's emailed to you as a PDF.

Every certificate has a credential ID and a QR code. Scanning it, or entering the ID at scienceofapps.com/certification/verify/, shows the holder's name, the certification, the score and the issue date from our records.

No. They are Science of Apps' own assessments of applied skill. They aren't issued by a university or standards body, and they work best alongside a portfolio that shows the skills in real work.