ISEE Upper Level Quantitative Reasoning (and quantitative comparison)
Quantitative Reasoning is the section that surprises strong math students. It is 37 questions in 35 minutes on the ISEE Upper Level, and roughly half of it uses a format most students have never encountered: quantitative comparison. The section rewards reasoning quickly about numbers, not grinding through computation — which is exactly why a student who aces algebra tests can come out frustrated.
What's actually in the section
Quantitative Reasoning has two parts, in this order:
| Part | Roughly | What it looks like |
|---|---|---|
| Word problems | First ~20 questions | Multi-step reasoning, estimation, rates, ratios, probability, data interpretation — four ordinary answer choices |
| Quantitative comparison | Final ~16 questions | Column A vs. Column B, with the same four fixed answer choices every time |
The distinction that matters most: Quantitative Reasoning asks whether your child can reason about quantities, while Mathematics Achievement asks whether they can calculate. Many QR questions are designed to be answerable with almost no arithmetic if you see the structure — and to be a slog if you don’t.
How quantitative comparison works
Every quantitative comparison question shows two quantities and the same four choices, which never change:
- (A) The quantity in Column A is greater.
- (B) The quantity in Column B is greater.
- (C) The two quantities are equal.
- (D) The relationship cannot be determined from the information given.
Because the choices are fixed, your child can learn them once and never read them again — worth doing, since it buys back seconds on every one of sixteen questions.
Three strategies that do most of the work
- Compare, don’t compute. If both columns share a term, ignore it. Comparing 47 × 18 with 47 × 19 needs no multiplication at all — the shared factor is positive, so the larger second factor wins.
- Test more than one case when a variable appears. If a value is only described (“x is a negative number”), try a few legal values: a large one, a small one, a fraction. If two legal choices give two different relationships, the answer is (D).
- Remember what (D) really means. It is not “I can’t figure it out.” It means no single relationship holds for every value allowed by the problem. If both columns are made of specific numbers with no variables, (D) is impossible — some definite relationship must exist, so keep working.
Try three
These are original examples written in the real format — not items from our question bank.
Column B: 25 × 39
Show answer & explanation
Column A: n²
Column B: n³
Show answer & explanation
Column A: x
Column B: x²
Show answer & explanation
Pacing
Thirty-seven questions in 35 minutes is under a minute each, and the comparison questions at the end are usually faster than the word problems at the front — if the format is familiar. Students who have never practiced it tend to burn time re-reading the answer choices and second-guessing (D), then run out of clock on questions they could have answered. Practicing the format under time is what converts that from a weakness into the easiest points in the section.