Trading Numerical Reasoning & Mental Math Test Practice
Numerical reasoning tests are the first filter in most trading processes: no-calculator arithmetic and number-pattern recognition against a hard clock, sat before anyone reads your CV.
The early stages reward raw speed and accuracy: fast arithmetic across integers, fractions, decimals, and percentages, plus number-sequence pattern recognition. Clear those and the later rounds add probability, expected value, and market-making questions where you quote prices and manage risk.
Formats of this kind are commonly reported to run dozens of questions in a handful of minutes, often with a penalty for wrong answers - on the order of a few seconds per question. Specific counts and timings are reported rather than published, and they shift year to year, so train the skill rather than a particular number. Arithmetic and pattern recognition need to be automatic before the judgement questions begin.
237 questions tagged to Numerical Reasoning Tests · all free to practise.
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This format is all about speed. Train arithmetic, sequences, and probability against the clock:
- 1 immediately before 2EasyProbabilityCombinatoricsView →
- A compound-interest limit in disguiseEasyCalculusView →
- A die decides how many balls to drawEasyProbabilityExpected ValueView →
- A die with one face decrementedEasyProbabilityConditional Probability & ExpectationView →
- A guest list with a feudEasyCombinatoricsView →
- A limit that hides a difference of logsEasyCalculusView →
- A mile with no windEasyBrainteasersView →
- A one-sided percentile cutoffEasyRandom VariablesStatisticsView →
- A point is established in crapsEasyProbabilityView →
- A root of a product plus oneEasyBrainteasersView →
- A sum of four before a sum of twoEasyProbabilityView →
- A sum of three cubesEasyBrainteasersView →
- A tail of a sum of normalsEasyRandom VariablesStatisticsView →
- A three given a sum divisible by threeEasyProbabilityConditional Probability & ExpectationView →
- Adjacent faces on two diceEasyProbabilityView →
- An alternating sum of squaresEasyBrainteasersView →
- An even sum given a five appearsEasyProbabilityConditional Probability & ExpectationView →
- An infinite nested radicalEasyBrainteasersView →
- An integrand with a cornerEasyCalculusView →
- Ants on a squareEasyProbabilityBrainteasersView →
- At least one 3 and at least one 5EasyProbabilityView →
- At least one blue and one greenEasyProbabilityCombinatoricsView →
- At least two in the windowEasyProbabilityStochastic ProcessesView →
- Average speed over three lapsEasyBrainteasersView →
- Beating a product of uniformsEasyProbabilityRandom VariablesView →
- Break-even uninformed fraction against pick-offsEasyMarket Making & Betting GamesView →
- Bull spread net profitEasyFinance & DerivativesView →
- Butterfly spread maximum profitEasyFinance & DerivativesView →
- Clock angle at 3:15EasyBrainteasersView →
- Codes with exactly one vowelEasyCombinatoricsView →
- Coin count past two sigmaEasyRandom VariablesStatisticsView →
- Coin rolling around a coinEasyBrainteasersView →
- Committee with both sexesEasyCombinatoricsView →
- Comparing implied vols from two quotesEasyFinance & DerivativesView →
- Conditioning a uniform waitEasyProbabilityRandom VariablesView →
- Correlation from a summed varianceEasyRandom VariablesStatisticsView →
- Correlation of X with X plus YEasyStatisticsView →
- Counting arithmetic triplesEasyProbabilityCombinatoricsView →
- Crossing the origin twiceEasyStochastic ProcessesView →
- Distinct-digit numbers using a 7EasyCombinatoricsView →
- Divisible by 2 or 3EasyCombinatoricsView →
- Divisible by neither 2 nor 3EasyCombinatoricsView →
- Dots on distinct edgesEasyProbabilityCombinatoricsView →
- Even first die given a sum of eightEasyConditional Probability & ExpectationExpected ValueView →
- Even sum bigger than sevenEasyProbabilityView →
- Exactly one head given at least oneEasyProbabilityConditional Probability & ExpectationView →
- Expected distance of a dart from centerEasyProbabilityRandom VariablesView →
- Expected flips after a losing startEasyProbabilityExpected ValueView →
- Expected flips for three headsEasyProbabilityExpected ValueView →
- Expected flips for two heads (not in a row)EasyProbabilityExpected ValueView →
- Expected profit on a scratch ticketEasyExpected ValueMarket Making & Betting GamesView →
- Expected sum given a sixEasyProbabilityExpected ValueView →
- Face card or heartEasyProbabilityView →
- Fair mid on a dice product that voids on doublesEasyProbabilityExpected ValueView →
- Fair price of a dice-product gameEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a heads-majority betEasyProbabilityExpected ValueView →
- Fair price of a high-faces-only dice sumEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a sum-divisible-by-three betEasyExpected ValueMarket Making & Betting GamesView →
- Finding the light coinEasyBrainteasersView →
- Four dice summing to twentyEasyProbabilityCombinatoricsView →
- Gap between two dice, given they differEasyConditional Probability & ExpectationExpected ValueView →
- Grouping anagramsEasyProgramming & DSAView →
- Guessing a number with high-low hintsEasyBrainteasersProgramming & DSAView →
- Hands directly oppositeEasyBrainteasersView →
- Handshakes across two groupsEasyCombinatoricsView →
- How many rolls to make the 6-bet favorableEasyProbabilityMarket Making & Betting GamesView →
- Iteration count of a guarded nested loopEasyProgramming & DSAView →
- Keep it or draw againEasyProbabilityExpected ValueView →
- Keep the d8 or gamble on the d12?EasyProbabilityExpected ValueView →
- Landing in the ringEasyProbabilityView →
- Lapping on the trackEasyBrainteasersView →
- Lattice paths through a checkpointEasyCombinatoricsView →
- Length of a vector differenceEasyLinear AlgebraView →
- Matching locks to keysEasyBrainteasersView →
- Median across two sorted arraysEasyProgramming & DSAView →
- Merging two round-robinsEasyCombinatoricsView →
- Multiply by a constant with shiftsEasyProgramming & DSAView →
- Normalizing a tilted densityEasyRandom VariablesCalculusView →
- One blue die matches the redEasyProbabilityView →
- One re-roll allowedEasyExpected ValueView →
- Origin between two pointsEasyProbabilityView →
- Paid the last roll before you stopEasyProbabilityExpected ValueView →
- Pairs who swap hatsEasyRandom VariablesExpected ValueView →
- Probes in a colliding hash tableEasyProgramming & DSAView →
- Product divisible by fourEasyProbabilityView →
- Reflipping for valueEasyProbabilityExpected ValueView →
- Ripple on a pondEasyCalculusView →
- Rolling a die to size the next dieEasyConditional Probability & ExpectationExpected ValueView →
- Rolling until a high face, at a costEasyProbabilityExpected ValueView →
- Rolling until you match the first rollEasyProbabilityExpected ValueView →
- Rolls until an even sumEasyProbabilityExpected ValueView →
- Rope lifted off the EarthEasyBrainteasersView →
- Same side four timesEasyProbabilityView →
- Seating with a gapEasyCombinatoricsView →
- Second roll beats the firstEasyProbabilityView →
- Shrinking the standard errorEasyStatisticsView →
- Sizing a put–call parity mispricingEasyFinance & DerivativesView →
- Smallest array forcing 7 probesEasyProgramming & DSAView →
- Smallest multiple of 77 past 700000EasyBrainteasersView →
- Socks for a matching trioEasyCombinatoricsBrainteasersView →
- Spread of a coin-flip payoffEasyRandom VariablesStatisticsView →
- Squared payout on even facesEasyRandom VariablesExpected ValueView →
- Stop at the first girlEasyProbabilityView →
- Streak then a head countEasyProbabilityConditional Probability & ExpectationView →
- Tangent-minus-sine third-order limitEasyCalculusView →
- The clock that runs fastEasyBrainteasersView →
- The higher die shows a fourEasyProbabilityView →
- The second draw is redEasyProbabilityConditional Probability & ExpectationView →
- The weight of the fishEasyBrainteasersView →
- Three dice, increasingEasyProbabilityCombinatoricsView →
- Three primes in six rollsEasyProbabilityView →
- Timing the revolverEasyBrainteasersView →
- Top three dice summing to eighteenEasyProbabilityCombinatoricsView →
- Triangles across two linesEasyCombinatoricsView →
- Two mismatched diceEasyProbabilityView →
- Unchanged after ten swingsEasyProbabilityBrainteasersView →
- Variance of a reciprocal uniformEasyRandom VariablesStatisticsView →
- Variance of a union indicatorEasyRandom VariablesStatisticsView →
- Variance of a weighted dice combinationEasyRandom VariablesStatisticsView →
- Variance of an asymmetric random walkEasyRandom VariablesStochastic ProcessesView →
- Ways to reach deuceEasyProbabilityCombinatoricsView →
- When the clock hands next meetEasyBrainteasersView →
- Where the maximum landsEasyRandom VariablesStatisticsView →
- Whether either bus comes soonEasyProbabilityRandom VariablesView →
- Which side holds the heavy weightEasyProbabilityCombinatoricsView →
- Who wins the first head?EasyProbabilityView →
- Winning by a growing marginEasyProbabilityBrainteasersView →
- Writes in an in-place dedupEasyProgramming & DSAView →
- A 5 before a 7MediumProbabilityView →
- A CLT tail probabilityMediumStatisticsView →
- A convexity gap by JensenMediumRandom VariablesExpected ValueView →
- A cube root by tangent lineMediumCalculusView →
- A ladder slipping in oilMediumCalculusView →
- A large power, modular orderMediumProgramming & DSAView →
- An integral by symmetryMediumCalculusView →
- Ants on a stickMediumBrainteasersView →
- Backing out a margin-free probabilityMediumMarket Making & Betting GamesView →
- Balancing six- and eight-sided diceMediumExpected ValueBrainteasersView →
- Balloon related ratesMediumCalculusView →
- Break-even half-spread from toxic flowMediumProbabilityExpected ValueView →
- Break-even half-spread under adverse selectionMediumExpected ValueMarket Making & Betting GamesView →
- Bridge and torchMediumBrainteasersView →
- Buyer count in a thinned arrival streamMediumProbabilityStochastic ProcessesView →
- Calendar spread intuitionMediumFinance & DerivativesView →
- Capturing the spreadMediumMarket Making & Betting GamesView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Cash-and-carry arbitrageMediumFinance & DerivativesView →
- Cats and dogs on the streetMediumBrainteasersView →
- Cheapest way to chain three productsMediumLinear AlgebraView →
- Chords that don't crossMediumProbabilityCombinatoricsView →
- Correlation of overlapping sumsMediumRandom VariablesStatisticsView →
- Cutting a cube into 27MediumBrainteasersView →
- Delta-hedge a two-leg option bookMediumFinance & DerivativesView →
- Dice payoff via WaldMediumExpected ValueStochastic ProcessesView →
- Digits multiplying to half the numberMediumBrainteasersView →
- Distinct birthdays representedMediumProbabilityExpected ValueView →
- Distinct faces in five rollsMediumCombinatoricsExpected ValueView →
- Distributing candies with a capMediumCombinatoricsView →
- Eight dice summing to twelveMediumProbabilityCombinatoricsView →
- Empty boxesMediumExpected ValueView →
- Emptying the cherry bowlMediumProbabilityCombinatoricsView →
- Expected exponential of Brownian motionMediumStochastic ProcessesView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- Expected maximum of three diceMediumRandom VariablesExpected ValueView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Expected revenue of a Vickrey auctionMediumProbabilityExpected ValueView →
- Expected value of the highest cardMediumProbabilityExpected ValueView →
- Fair price of a payout that doubles per headMediumExpected ValueMarket Making & Betting GamesView →
- Fair value after two informed buysMediumMarket Making & Betting GamesView →
- First consecutive repeatMediumProbabilityExpected ValueView →
- First head on an even flipMediumProbabilityView →
- First head strictly soonerMediumProbabilityRandom VariablesView →
- Forward price with a cash dividendMediumFinance & DerivativesView →
- Four distinct birth monthsMediumProbabilityCombinatoricsView →
- Frog in the wellMediumBrainteasersView →
- Gamma-scalping a round tripMediumFinance & DerivativesView →
- HT before HH in coin flipsMediumProbabilityStochastic ProcessesView →
- How many stack outputs?MediumProgramming & DSAView →
- Implicit differentiation on a circleMediumCalculusView →
- Implied vol from a straddle quoteMediumFinance & DerivativesView →
- Inventory skewMediumMarket Making & Betting GamesView →
- Largest pen against a riverMediumCalculusView →
- Limit of x ln x as x to 0+MediumCalculusView →
- Locking a profit by hedging after the odds moveMediumExpected ValueMarket Making & Betting GamesView →
- Long-run share of a two-state chainMediumLinear AlgebraView →
- MLE at a boundaryMediumStatisticsCalculusView →
- Monotone paths across a gridMediumCombinatoricsView →
- Neither die exceeds fourMediumProbabilityRandom VariablesView →
- One card each in casino warMediumProbabilityCombinatoricsView →
- One extra roll for more primesMediumProbabilityView →
- Optimal quote widthMediumMarket Making & Betting GamesView →
- Paid only if the last roll winsMediumExpected ValueView →
- Pair at a round tableMediumCombinatoricsView →
- Pay to play with a capMediumExpected ValueMarket Making & Betting GamesView →
- Poisson thinning: exactly two large ordersMediumRandom VariablesView →
- Prime sumMediumProbabilityView →
- Product of two dice, doubled on doublesMediumExpected ValueMarket Making & Betting GamesView →
- Profit on a bull call spreadMediumFinance & DerivativesView →
- Profit on a risk reversalMediumFinance & DerivativesView →
- Rare-event Poisson approximationMediumProbabilityRandom VariablesView →
- Rate of a growing shadowMediumCalculusView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- Right angles in 12 hoursMediumBrainteasersView →
- Rolling a 5-sided die to reach fiveMediumProbabilityExpected ValueView →
- Rolling until two rolls differ by twoMediumProbabilityExpected ValueView →
- Sharpe ratio in a marble gameMediumExpected ValueStatisticsView →
- Sum of 10 with three diceMediumProbabilityCombinatoricsView →
- Sum of multiples of 3 or 5MediumBrainteasersView →
- The gold chainMediumBrainteasersView →
- The largest unmakeable totalMediumCombinatoricsBrainteasersView →
- The missing dollarMediumBrainteasersView →
- The third shiny pennyMediumProbabilityCombinatoricsView →
- Three dots, exactly one shared edgeMediumProbabilityCombinatoricsView →
- Three-jug measuringMediumBrainteasersView →
- Two ropes, 45 minutesMediumBrainteasersView →
- Two trains and a flyMediumBrainteasersView →
- Two uniforms summing past 1.5MediumProbabilityCalculusView →
- Variance of a coin-gated payoffMediumRandom VariablesStatisticsView →
- Variance of an aggregate Poisson totalMediumRandom VariablesStochastic ProcessesView →
- Volatility smile meaningMediumStatisticsFinance & DerivativesView →
- Which desk books the larger dayMediumRandom VariablesStatisticsView →
- Winner's curseMediumMarket Making & Betting GamesView →
- A coin thick enough to land on its sideHardProbabilityBrainteasersView →
- A flea's shortest escape across a boxHardBrainteasersCalculusView →
- A small sub-triangleHardProbabilityRandom VariablesView →
- A triangle of consecutive integersHardBrainteasersView →
- Cats and miceHardBrainteasersView →
- Expected chord intersectionsHardProbabilityCombinatoricsView →
- Expected local maxima in a shuffleHardProbabilityExpected ValueView →
- Measuring two pintsHardBrainteasersView →
- Rolling until two rolls are closeHardProbabilityExpected ValueView →
- Shortest of three piecesHardProbabilityRandom VariablesView →
- Six pieces, none past a halfHardProbabilityRandom VariablesView →
- The reroll advantage in a die duelHardProbabilityMarket Making & Betting GamesView →
- Weighings for the odd beanHardBrainteasersView →
- Will the three-legged table stand?HardProbabilityView →
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NeetQuant is an independent study platform. It is not affiliated with, endorsed by, sponsored by, or connected to any firm named on this site. All company names and trademarks are the property of their respective owners. Trademark notice.
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Frequently asked questions
- What does a timed mental-math assessment involve?
- No-calculator arithmetic under severe time pressure, commonly reported as dozens of questions in a handful of minutes, often paired with a number-sequences test. The maths is basic; the pace is what filters candidates.
- How do I prepare for it?
- Practise arithmetic and sequence-spotting under a timer until they are automatic. NeetQuant's Mental Math Blitz, Sequences, and Number Box simulators are built for exactly this.
- What comes after the speed test?
- Probability and market-making or trading-judgement questions. Once your arithmetic is fast, expected value and quoting intuition are the next areas to drill.