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
Let my child try (free)

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.

  1. 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.
  2. Geometry & Data

    Spatial reasoning, counting and probability.

    2 units

  3. 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'.
  4. More topics

    Further topics from the exam's official scope.

    19 units

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

  1. From 6:00 to 9:00 is 180 minutes, and buses leave at 0, 18, 36, …, 180 minutes.
  2. 180 ÷ 18 = 10 gaps between buses.
  3. 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.