QuantArc
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Quant games18 games · probability, cards, ETFs and your own trading deskPlay →
Prepare for your role →Explore trading, research and engineering pathways with lessons and interview practice.
Daily goal0 / 30 XP
Unit 0

Diagnostic and number sense

0 of 2 lessons done

START
Up nextBaseline diagnostic
ReadyPlace value and magnitude
Unit 1

Addition and subtraction

0 of 4 lessons done

ReadyComplements and making ten
ReadyLeft-to-right addition
ReadyRound and compensate
ReadySubtraction using landmarks
Unit 2

Multiplication patterns

0 of 7 lessons done

ReadyCore products and anchors
ReadySplit a product
ReadyDouble and halve
ReadyMultiply by 25 and 125
ReadyMultiply by 11
ReadyNear-base products
ReadySymmetric products
Unit 3

Squares and powers

0 of 3 lessons done

ReadySquare library
ReadySquares ending in five
ReadySquares near a base
Unit 4

Division and remainders

0 of 6 lessons done

ReadyDivision as a reverse product
ReadyDivide by 5, 25 and 125
ReadyDecimal shifts
ReadyFactor and cancel
ReadyQuotient estimation
ReadyRemainders and decimals
Unit 5

Fractions, decimals, and percentages

0 of 7 lessons done

ReadyCore conversion library
ReadyReciprocal table for awkward divisors
ReadySimplify and compare fractions
ReadyPercent of a quantity
ReadyPercentage change
ReadyBasis points
ReadyWeighted averages
Unit 6

Estimation and error detection

0 of 3 lessons done

ReadyOrders of magnitude
ReadyUpper and lower bounds
ReadySanity checks
Unit 7

Probability foundations

0 of 3 lessons done

ReadyCounting and the complement rule
ReadyBayes' rule and base rates
ReadyLinearity of expectation
Unit 8

Sequences and pattern recognition

0 of 3 lessons done

ReadyDifferences and second differences
ReadyRatios and alternating rules
ReadyA recognition library of common families
Unit 9

Trading arithmetic bridge

0 of 8 lessons done

ReadyExpected value
ReadyOdds and probability
ReadyBet sizing and the Kelly criterion
ReadyMarkets 101: bids, asks and trades
ReadySpreads and P&L
ReadyTwo-sided quoting
ReadyInventory and skew
ReadySpoken calculation
Unit 10

Assessment conditioning

Coming soon

SprintSpeed sprint
MockMock test
Unit 11

Optimal stopping and EV puzzles

0 of 5 lessons done

ReadyTwo-stage stopping
ReadyMulti-stage stopping
ReadyStopping with search cost
ReadyContinuous uniform stopping
ReadyCoupon collector and waiting times
Unit 12

Options foundations

0 of 6 lessons done

ReadyPayoffs, intrinsic and time value
ReadyPut-call parity
ReadySynthetics and boundary violations
ReadyStraddle and breakevens
ReadyDelta intuition and hedging
ReadyOne-period binomial model
Unit 13

Adverse selection and trading games

0 of 5 lessons done

ReadyWinner's curse and conditioning on the fill
ReadyAdverse selection and spread width
ReadyBayesian quote update after a trade
ReadyFiggie deck deduction and pot split
ReadyMarket-making game on dice and cards
Unit 14

Combinatorics and discrete counting

0 of 4 lessons done

ReadyStars and bars
ReadyGrid paths and reflection
ReadyDerangements and subfactorials
ReadyPoker hand combinatorics
Unit 15

Markov chains and random walks

0 of 3 lessons done

ReadyFirst-step analysis
ReadyGambler's ruin
ReadyCoin pattern waiting times
Unit 16

Statistics for traders

0 of 4 lessons done

ReadyVariance of linear combinations
ReadyPairwise correlation bounds
ReadyRegression beta and R^2
ReadyTwo-asset portfolio volatility
Unit 17

Game theory and auctions

0 of 4 lessons done

ReadySecond-price auctions
ReadyFirst-price auctions
ReadyCommon-value auctions
Ready2 by 2 games and mixing
Unit 18

Fermi estimation

0 of 4 lessons done

ReadyFermi chains
ReadyPowers of ten
ReadyGeometric mean bounds
ReadyCross-checks
How progress works

Fluent means 18 of the latest 20 practice answers were independently correct: a practice target, not proof it lasts.

Retained additionally requires a session at least 3 days after fluency at 90% or higher independent accuracy.

Missing a day never resets lessons: only the streak flame pauses, and streak freezes protect it. No hearts, no lives, no penalties for using hints.

How this course is researched

Each lesson links its mathematical references. Worked examples, recall checks and spaced review follow the IES learning guide. Review after one or three days is a starting schedule, not a research-proven optimum.

Read the learning guide

Secrets of Mental Math: Arthur Benjamin and Michael Shermer: recommended further reading. We have checked the publisher description, not the full book. The lessons and examples here are original.

Animated emoji: Google Noto Emoji, CC BY 4.0.