Drills
Every drill draws from generated questions, so running the same one twice never gives you the same paper. Start with a warm-up; move to a simulation once the arithmetic is automatic.
Practice
Our own formats. Start here.
Assessment simulations
Matched to the timing, scoring and answer format each firm is reported to use.
Optiver · 80 in 880 questions, 8 minutes, minus one for every wrong answer.80 q8 min-1corroboratedOptiver · NumberLogicPAIDSequences, escalating difficulty, no going back.15 q25 min-1reportedFlow Traders · Mental mathPAID60 in 6, served one at a time. You cannot skip.60 q6 min-1corroboratedFlow Traders · SequencesPAID25 sequences, 25 minutes, skipping allowed.25 q25 min-1reportedAkuna Capital · Mental mathPAID80 in 8, typed answers, no fractions.80 q8 min-1reportedIMC · Numerical reasoningPAIDFewer questions, more time, mixed arithmetic and patterns.24 q18 min—indicativeSIG · Quantitative roundPAIDNine questions, an hour. This one is not a speed test.9 q60 min—reported
Quantm is independent and is not affiliated with or endorsed by any firm named here. Formats are reconstructed from publicly shared candidate accounts and may change without notice.
Single categories
Untimed, unlimited, one skill at a time.
Arithmetic
- Integer arithmeticFour operations on whole numbers. The baseline every assessment starts from.39 + 267
- DecimalsThe same operations with a decimal point to keep track of. Most dropped marks live here.1.31 + 1.89
- FractionsAdd, subtract, multiply and divide fractions, answered as decimals.3/5 ÷ 1/2
- Missing operandPAID66 × ? = 138.6. The shape candidates freeze on, because no free trainer generates it.? × 9 = 612
- Mixed arithmeticAll four types interleaved, exactly as the real papers serve them.151 + ? = 276
Numeric fluency
- PercentagesPercentage of, percentage change, and reversing a move — including the trap.31.6 is what% of 790
- Basis pointsPAIDThe working unit of every rates desk. 1bp on $1m is $100 — from there it's arithmetic.Express 2.78% in basis points
- Fraction conversionsPAIDHalves to 64ths as decimals and percentages. Recall, not division.Express 3/4 as a percentage
- Squares & rootsSquares, cubes, perfect roots and powers of two, on sight.2 ^ 7
- CompoundingPAIDRule of 72 and fast (1+r)^n approximations, graded on closeness rather than exactness.At 4% a year, roughly how many years to double?
Reasoning
Trading
- ProbabilityPAIDDice, coins, urns and conditional probability at interview speed.4 fair coin flips. P(exactly 3 heads)?
- Expected valuePAIDWhat is this game worth. Includes the reroll question, which comes up constantly.Roll a 4-sided die. You may reroll once and must take the second roll. Playing optimally, what is the expected value?
- Market makingPAIDWidth, mid, edge and skew on a two-sided quote.Your market is 296.5 at 298.5. You get filled and are now short. You skew your mid by 0.5 to lay the risk off. Where is your new bid?
- Position & P&LPAIDMark to market, weighted average price, partial closes.You buy 500 at 14.2, then 200 at 15.46. Average price?
- OptionsPAIDExpiry payoffs, breakevens, time value and put–call parity. No Greeks, no models.You buy a 80 call for 7.23. Breakeven at expiry?