What This Episode Covers
Word problems are the single most common question type on the GMAT® Quantitative section — and for most people, they're also the biggest untapped source of points on the path to the score that opens the doors you're aiming for. We walk through three retired Official Guide problems — from a warm-up to a genuinely difficult multi-step question — using each one to build out a systematic approach that holds up under time pressure.
We open with a straightforward average/revenue question (a great warm-up for the word problems workout) and use it to introduce the "half math, half English" framework — a structured intermediate step between reading a problem and writing equations. Skipping this step is the primary cause of getting questions wrong that you actually know how to do, and that's the thing the GMAT® scoring algorithm punishes most severely.
The second problem — a tiered pricing question — looks simpler but actually trips up a super high percentage of test-takers. We dig into the interesting data: it's not computation errors causing the misses, it's a subtle misinterpretation of the pricing structure from the very beginning. Having said that, the takeaway reinforces the core lesson: solid setup is worth more than fast math.
The third problem ramps up to a complex library books question that integrates averages, algebra, and optimization in a single problem — essentially stacking three problems worth of steps. We show how the core organizational principles from the easier problems scale directly to harder ones, and why good habits built on easy material pay compound dividends on the hardest questions.
Problems Covered
Problem 1 — Revenue Averages (Easy): A snack shop earned an average of $400 per day over 10 days. If the first six days averaged $360, what was the average for the last four days? Answer: $460. Key lesson: organize with half math, half English before touching the equations.
Problem 2 — Tiered Pricing (Medium): A distributor charges different per-case prices for different order sizes. Three orders of different sizes are placed — what's the total charge? Answer: $2,080. Key lesson: most wrong answers come from misreading "tiered" as siloed vs. cumulative pricing — a translation error, not a math error.
Problem 3 — Library Books (Hard): In a class of 30 students, you're given how many borrowed 0, 1, and 2 books, the average books-per-student, and asked for the maximum any single student could have borrowed. Answer: 13 books. Key lesson: use the average formula to find a total, then minimize the other values to maximize your target.
Key Takeaways
- Half math, half English is the move. Write what's given and what's asked in an intermediate form before building equations. It sounds slow; it runs faster because it eliminates back-tracking and re-reads.
- Most word problem mistakes are translation errors, not computation errors. If you're missing questions you know how to do, the bottleneck is almost certainly setup, not arithmetic.
- Build good habits on easy questions. The core skills on the hard questions are identical to the easy ones — just more of them. Sloppy habits on easy problems become catastrophic on hard ones.
- The GMAT® scoring algorithm rewards consistent execution. Missing questions you know how to do is the single most damaging thing you can do to your score — and careful organization prevents most of it.
- Use rows and columns for multi-variable problems. When a problem gives you multiple data points across different categories, a simple table structure prevents you from losing track of what's what.
- Ask yourself: what given information haven't I used yet? Quant problems almost never give you information you don't need. If you're stuck, there's almost certainly an unused piece of data pointing toward the next step.
Word problems reward the students who invest in a real system — not the ones who try to brute-force every question. The discipline of half math, half English isn't just a GMAT® skill — it's a structured thinking habit that pays off in business school and beyond. Stay positive and stay consistent.