ISEE Middle Level — Quantitative Reasoning
For students applying to grades 7–8. The reasoning math section of the ISEE: word problems that reward number sense, patterns, proportional and algebraic thinking, geometry and data — plus quantitative comparisons (Column A vs Column B). 37 questions in 35 minutes, no calculator.
- Grades:
- Grades 6–7
- Format:
- 37 Q · 35 min · word problems + quantitative comparison
Series pass $14.99/month for the whole family · the first round and its summary are free, no card needed
Next official date
Date to be announced
What Middle Level covers
The reasoning half of ISEE math for students applying to grades 7–8: word problems that reward number sense, patterns, proportional and algebraic thinking, geometry and data — and quantitative comparisons, where you decide which of two quantities is greater without always computing both. 37 questions in 35 minutes.
Unit questions open after sign-in with a Series pass. Each child's first round is free, with its summary.
Word Problems
Reason with numbers, patterns, ratios and equations.
4 units
- Number Reasoning — Reason before you compute: estimate, use number properties (odd/even, divisibility) and test the answer choices.
- Patterns & Sequences — Find the rule (add, multiply, repeat), write it for the nth term, then substitute.
- Ratio & Proportional Reasoning — Think in parts: a ratio a : b splits a whole into a + b parts. Ask whether quantities grow together or one shrinks as the other grows.
- Algebraic Reasoning — Name the unknown, translate each sentence, solve, then check the answer against the story.
Geometry & Data
Spatial reasoning, counting and probability.
2 units
- Geometry & Spatial Reasoning — Sketch it. Area of a border = outer area − inner area. Scale lengths by k → areas by k².
- Data & Probability Reasoning — List or count outcomes systematically; use totals (mean × count) for average problems.
Quantitative Comparison
Column A vs Column B — the Middle and Upper Level format.
1 unit
- Quantitative Comparison — Simplify each column first. When a variable appears, try several allowed values — zero, a fraction, a negative, a large number. If the answer changes, choose 'cannot be determined'.
More topics
Further topics from the exam's official scope.
19 units
- Averages
- Coordinate Geometry
- Data & Distributions
- Inequalities
- Triangles
- Linear Functions & Lines
- Nets, Surface Area & Volume
- Percents
- The Pythagorean Theorem
- Roots & Powers
- Median, Mode & Spread
- Circles
- Factors & Multiples
- Negative Numbers & Absolute Value
- Ratios & Sharing
- Linear Equations
- Angles & Polygons
- Fractions
- Perimeter & Area
Moving up to Upper Level
- Cover at least 80% of this Level's knowledge points, with at least 50% of them mastered (confirmed by spaced review, not one good day).
- Pass 2 full-length practice exams on different papers, at least 7 days apart, within 60 days.
- Answer at a steady pace: a median of 57 seconds a question or less.
- Or, when the signs are there, take the next Level's entry check: 75% or more moves up straight away.
A sample question from Middle Level
The first bus of the day leaves the station at 6:00 a.m. After that, a bus leaves every 18 minutes. Each bus can carry 40 people. How many buses leave the station from 6:00 a.m. to 9:00 a.m., including any that leave at exactly 9:00 a.m.?
Answer: 11
Worked solution
- From 6:00 to 9:00 is 180 minutes, and buses leave at 0, 18, 36, …, 180 minutes.
- 180 ÷ 18 = 10 gaps between buses.
- 10 gaps means 11 buses, counting the 6:00 bus. The 40 people is not needed.
Read-only. Every other question opens after sign-in; each child's first round is free.
Questions families ask
- What does Prep cover for ISEE Quantitative Reasoning?
- Lower Level, Middle Level, Upper Level. Each Level has its own chapter map, practice rounds, sealed practice exams with every answer and worked solution at the end, and a published gate to the next Level.
- When is the next ISEE Quantitative Reasoning date?
- The next official date has not been announced yet. We update the page as soon as the organizer publishes it.
- How much does it cost?
- Each child's first round and its summary are free, with no card needed. After that, a Series pass is $14.99 a month for the whole family (up to 5 people) and covers every Level of the Series, so moving up never meets a new paywall.
- Does Prep guarantee a score?
- No. Prep shows exactly what your child has mastered, what comes next and when they are ready for the next Level. Nobody can promise a contest result.