The Missing Skill Between Code & Whiteboard

Practice DailyMaster Back-of-the-Envelope Math for System Design Interviews.

In today's hyper-competitive tech market with high-volume layoffs, engineers spend months grinding coding algorithms—only to fail system design rounds because they skip basic capacity estimation and jump blindly into drawing boxes.

✓ Real-Time Capacity Sizing✓ 30 Concepts Math Proofs✓ 8 Probing Questions✓ 16 Swim Lane Checklists✓ 10 Master FAANG Scenarios
The #1 Reason Senior Candidates Get Downleveled
01.

The LeetCode Trap

Candidates practice hundreds of dynamic programming puzzles, but freeze when an interviewer asks: “How many Kafka partitions and database read replicas do we need for 10M DAU?”

02.

Blind Component Insertion

Saying “We will put Redis here” without calculating cache working set memory, hot SKU retention hours, or eviction policies signals junior-level hand-waving.

03.

Skipping Probing Questions

Jumping straight into drawing boxes without clarifying active user ratios, read/write splits, payload sizes, and latency SLAs leads to catastrophic architectural redesigns mid-interview.

Interactive Preview

See Back-of-the-Envelope Math in Action

Drag the slider or adjust user volume below to watch the entire distributed system size dynamically in real-time.

Monthly Active Users (MAU)10 Million MAU
1M MAU50M MAU100M MAU
DAU % of MAU (Active Ratio)20% Active
5% (Low)20% (Standard)50% (High)
Daily Active (DAU)
2.00M
users / day
Peak API RPS
6,667
2x buffer req/s
Kafka Brokers
34 Nodes
KRaft Quorum
DB Storage / Mo
15,000 GB
hot OLTP SSD
Redis RAM
~3000 GB
hot SKU cache
AWS Cost
$16,920
/ mo ($8.46/1k)
Complete Coverage

End-to-End System Design Architecture Toolkit

Everything you need to navigate requirements, derive exact capacities, justify engine tradeoffs, and survive interviewer probing.

Back-of-the-Envelope Math Engine

Automatic derivation from MAU down to Peak API RPS, Kafka ingress throughput, database replicas, and Redis cache sizing with step-by-step arithmetic proofs.

8-Step Probing Question Framework

Never make blind assumptions. Learn the exact clarifying questions to ask interviewers regarding ingestion paradigms, DAU/MAU ratios, payload sizes, and SLA budgets.

16-Layer Architectural Rubric

A comprehensive grading rubric across Ingress, Compute, Storage, and Resiliency tiers. Includes open-source library tradeoffs (e.g. Envoy vs Kong, Kafka vs RabbitMQ).

Dynamic Surge & Stress Testing

Instantly simulate Flash Sales (5x), Black Friday surges (10x), and volumetric DDoS attacks (20x) to evaluate cluster headroom and load-shedding survival.

Hop-by-Hop Latency Waterfall

Pinpoint bottlenecks with a full P50/P95/P99 latency decomposition across DNS, Anycast CDN, API Gateway, microservices, and database query executions.

AWS Line-Item Cost Estimator

Calculate precise monthly and annual infrastructure expenditure across EC2, RDS, ElastiCache, S3, and egress transit with unit economics ($/1k DAU).

Sheet 22 Master Sizing Reference

30 Core System Design Concepts & Mathematical Primer

Formulas, numbers to quote, Bloom filters, Geohashing, Consistent Hashing, PACELC theorem, B+ Trees, and engine trade-offs.

Explore All 30 Concepts
High-Yield Scenarios

Master 10 Real-World Interview Case Studies

Pre-configured architectures with model answers, red flags to avoid, and Staff-level bonus points.

Scenario #01Idempotency & Sagas

E-Commerce Flash Sale Checkout

Scale 10M DAU checkout with transactional outbox, Kafka event bus, and distributed inventory reservations.

Scenario #02WebSockets & Fan-out

Real-Time Driver GPS Tracking

Size concurrent open socket connections, kernel memory buffers (64KB/conn), and Redis Pub/Sub broadcast tiers.

Scenario #035-Tier Load Shedding

Black Friday 10x Surge Survival

Pre-scale Kubernetes HPA, absorb 85%+ static traffic at Anycast CDN edge, and drop non-critical background jobs.

Scenario #04Distributed Locks

Payment Idempotency & Zero Double-Charge

Prevent duplicate credit card transactions during mobile network timeouts using Redis lock keys and transactional DB deduplication.

Scenario #05Streaming Health

Kafka Consumer Lag Spike Diagnostics

Troubleshoot consumer rebalance storms, unindexed DB locks, and configure CooperativeStickyAssignors for zero downtime.

Scenario #06Poison Pill Defense

Dead-Letter Queue (DLQ) Recovery

Architect 4-tier exponential backoff retry topics (5s → 30s → 5m → DLQ) with shadow canary replay tooling.

Frequently Asked Questions

Common Questions & Answers

Having personally been impacted by tech industry layoffs, I experienced firsthand how stressful and unstructured system design preparation can be without guidance. While algorithm coding has clear answers, candidates frequently struggle with back-of-the-envelope estimations under interview pressure. I needed a hands-on way to calculate scale, practice the math repeatedly, and articulate architectural decisions with confidence. I built this comprehensive engine and decided to share it 100% free so that any engineer facing layoffs or preparing for high-stakes interviews can master the math and succeed without expensive $300 course paywalls.

Ready to Ace Your Next System Design Interview?

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