Medium Numerical Reasoning Tests Interview Questions
The level most numerical reasoning tests questions actually land at.
95 questions, all free to practise. The topics that come up most are probability (27), expected value (25), brainteasers (15), combinatorics (14).
- 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 →
Widen the search
This set is a slice of a larger one. If it is too narrow, start here instead:
Practise these free
Create a free account to check your answers, track what you have solved, and run the timed simulators.