Two Math Sections, Different Skills
The ISEE Upper Level has two separate math sections, and many parents don't realize they test quite different skills. Understanding the difference is key to effective preparation.
| Feature | Quantitative Reasoning | Mathematics Achievement |
|---|---|---|
| Questions | 37 | 47 |
| Time | 35 minutes | 40 minutes |
| Per Question | ~57 seconds | ~51 seconds |
| Focus | Logical reasoning & comparison | Computation & applied math |
| Unique Format | Quantitative comparisons | Standard multiple choice |
Quantitative Reasoning: Thinking, Not Calculating
This section tests your child's ability to reason about mathematical relationships. It includes two question types:
Word Problems
Standard math word problems, but the emphasis is on setting up the problem correctly rather than complex computation. These questions test whether your child understands mathematical concepts well enough to apply them to real-world scenarios.
Quantitative Comparisons
These are unique to the ISEE and often catch students off guard. They present two quantities — Column A and Column B — and ask which is greater.
The answer choices are always the same:
- (A) Column A is greater
- (B) Column B is greater
- (C) They are equal
- (D) Cannot be determined from the information given
Tips for quantitative comparisons:
- Don't always calculate — sometimes you can reason about the relationship
- If the answer depends on the value of a variable, it's likely (D)
- Simplify both columns before comparing (cancel common terms, reduce fractions)
- Plug in numbers if the question uses variables — try at least two different values
Mathematics Achievement: Computing Accurately
This section is closer to what your child sees in school math class. Questions test knowledge of mathematical procedures and the ability to execute calculations correctly.
Topics include:
- Arithmetic with fractions, decimals, and percentages
- Algebraic expressions and equations
- Geometry (area, perimeter, volume, angles)
- Data interpretation (charts, graphs, tables)
- Word problems requiring multi-step solutions
The key challenge here is accuracy under time pressure. With 47 questions in 40 minutes, your child has less than a minute per question.
Where Students Struggle
Quantitative Reasoning challenges:
- Quantitative comparison format is unfamiliar
- Students try to compute exact values when reasoning would be faster
- The "cannot be determined" option confuses students who expect every problem to have a definitive answer
Mathematics Achievement challenges:
- Time pressure — many students run out of time on the last 10–15 questions
- Careless errors on problems they know how to solve
- Gaps in specific math topics they haven't covered in school yet
How to Prepare for Each Section
Quantitative Reasoning Prep
- Practice quantitative comparisons specifically. This format doesn't appear in regular schoolwork, so dedicated practice is essential.
- Develop estimation skills. Being able to quickly approximate values saves time and helps with comparison questions.
- Learn when NOT to calculate. If you can determine the answer through reasoning, skip the arithmetic.
Mathematics Achievement Prep
- Review the complete topic list and identify any topics your child hasn't learned yet.
- Practice speed and accuracy. Do timed sets of 10 questions and track both correct answers and time.
- Focus on the most tested topics. Polygons, data analysis, and probability appear most frequently — see the topic page for frequency data.
For Both Sections
- Take a diagnostic test to see which section needs more attention
- Practice without a calculator — the ISEE doesn't allow them
- Review mistakes by categorizing them: concept gap, careless error, or time pressure
Which Section Matters More?
Schools receive separate stanines for each section, and both matter. However, some schools weight them differently:
- STEM-focused schools may pay closer attention to both math stanines
- Schools with strong math programs may specifically look at Mathematics Achievement
- Most schools consider the overall pattern across all four sections rather than emphasizing one over another
If your child scores much higher on one math section than the other, it usually indicates a clear area to focus preparation. Use the score calculator to understand what the stanine difference means.