SIG · Online Assessment · Trader / Quant Researcher track

SIG Quantitative Evaluation: practice the 17-question math OA

SIG's first-round screen for Trader and Quant Researcher candidates. Three real-format questions are below — try them right now, no signup — then take the full timed simulation.

17questions
60minutes
Mettlplatform
Yescalculator
2019–26bank recurs
Q1–9 · fast tier, 1–2 min eachQ10–17 · deep tier, bank time for these

The 3 free questions below are pulled from across this curve.

Maintained by Stanley from the QuantVault team · last verified June 2026 against the newest spring-2026 sittings. How we keep this accurate. Jump to the practice questions ↓

What the test is really like

The Quantitative Evaluation opens SIG's funnel for the Trader / Quant Researcher track. It is a resume-screen filter, not a deep exam: the first ~9 questions are quick probability and expected-value calculations, the last ~8 step up to multi-stage problems — Bayes' rule, constraint logic, fair-coin gambler's ruin, and a lattice-path counting question that rewards knowing the dynamic-programming trick.

The single most useful fact from recent sittings: the question bank is largely fixed and has recurred for years — only the numbers change between sittings. That means drilling the known question families for speed is the whole strategy. At ~3.5 minutes per question, hesitation is what fails people, not difficulty.

The recurring families (from the actual bank)

FamilyBank exampleTier
Bayes posteriors try one ↓two-factory defect rates; "picked the loser"mid
Dice & game EV try one ↓3-dice expected valuefast
Gambler's ruin try one ↓bold-play variantdeep
Constraint logicround-table seating; knights & knavesmid
Binomial tailsbakery order fulfillmentmid
Lattice / DP countingno-3-in-a-row pathsdeep
Linearity of expectationexpected matching pairsmid
Relative speedcanoe up/downstreamfast
Diagram itemsbalance scale; skyscraper sudokumid
The bank barely changes between sittings — the question families stay fixed and only the numbers move, so drilling them for speed is the whole game. One thing worth knowing: a perfect 17/17 is still no guarantee, since the screen is one early filter among many. Treat it as necessary, never sufficient.

Try 3 real-format questions now

Same families as the real screen, original numbers. Enter a fraction like 3/8 or a decimal — a stopwatch starts when you begin typing.

Question 1 of 3 · Expected value0:00warm-up tier
You roll a fair six-sided die once. If it shows 1 or 2 you win $9; otherwise you lose $3. What is your expected profit, in dollars?
Solution. P(win) = 2/6 = 1/3, P(lose) = 2/3. EV = (1/3)(9) + (2/3)(−3) = 3 − 2 = $1. On the real screen this tier should take you under 60 seconds.
Question 2 of 3 · Bayes' rule0:00mid tier
A bag contains two coins: one fair, one double-headed. You draw one at random and flip it twice; both flips land heads. What is the probability you drew the double-headed coin?
Solution. P(HH | double) = 1, P(HH | fair) = 1/4. Posterior = (1 · ½) / (1 · ½ + ¼ · ½) = (1/2)/(5/8) = 4/5 = 0.8. SIG loves two-flip and three-flip Bayes setups; write the posterior as one fraction and you save a minute.
Question 3 of 3 · Gambler's ruin0:00late tier
You have $3 and your opponent has $5. You repeatedly bet $1 on fair coin flips until one of you is broke. What is the probability you end up with all $8?
Solution. For a fair game, P(reach N before 0 from k) = k/N = 3/8 = 0.375. This exact family — with shuffled bankrolls — appears in the late tier; memorize k/N for fair and the (1−(q/p)^k)/(1−(q/p)^N) form for biased.

Take the full 17-question timed simulation

The complete Quantitative Evaluation recreation: 17 questions, 60-minute clock, the real difficulty curve, auto-graded with worked solutions for every question. Built from the recurring bank.

The full simulation is part of QuantVault Pro ($19/mo founding price). The three questions above and the format guide are free, no account needed.

The other SIG online assessments

The 17-question math screen is the Trader / QR track. SIG runs different first-round OAs by track:

How to prepare (the honest version)

1Drill the families, not random mathEV of simple games, Bayes posteriors, gambler's ruin, constraint logic, lattice paths. The bank recurs; the families are known.
2Train pacing before content60 minutes / 17 questions ≈ 3.5 min each — and the early tier should take 1–2. Bank time early, spend it late.
3Take two full timed runsThe simulation grades you with worked solutions; your second run should feel mechanical.
4Aim near-perfectNo published cutoff — it's an early filter. Candidates who clear it report missing at most a couple.

How we keep this accurate

We track how candidates describe this screen over time and update the format, timing, and topic mix whenever the reports shift. Every practice question here is our own, written to match the question families and difficulty of the real screen, with answers derived and checked by code — not copied from anywhere. Where a detail can't be confirmed (like an exact passing cutoff), we say so rather than guess.

  • Jun 2026 — format re-confirmed: 17 questions / 60 min, Mettl, calculator allowed
  • 2024–2025 — topic mix and difficulty curve re-checked against recent sittings
  • 2019–2023 — same question families seen throughout, numbers varying by sitting

FAQ

What is the SIG Quantitative Evaluation?

SIG's first-round online assessment for Trader and Quant Researcher candidates: 17 math questions in 60 minutes on Mettl, calculator allowed, covering probability, EV, Bayes, constraint logic, gambler's ruin, and lattice-path DP.

Is it the same as the "Susquehanna Problem Solving Assessment"?

Candidates use both names; the 17-question math screen described here is the quantitative first-round test for the trading/QR track. Other tracks get coding or finance assessments instead.

Can I use a calculator?

Yes — recent sittings on Mettl allow a calculator. Speed on setup, not arithmetic, is what's being tested.

What happens after the OA?

Passing is necessary but not sufficient — it's an early filter. Next come interviews with probability, EV, and market-making games; see the full SIG interview funnel.

Keep going