ISEE Middle Level — Mathematics Achievement
For students applying to grades 7–8. The curriculum math section of the ISEE: integers and order of operations, fractions and decimals, ratios and percents, expressions and equations, geometry and measurement, data and probability. 47 questions in 40 minutes, four choices, no calculator.
- Grades:
- Grades 6–7
- Format:
- 47 Q · 40 min · four choices, no calculator
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 curriculum half of ISEE math: computation and procedures a 6th–7th grader is expected to know, in the section's own areas — whole numbers and integers, fractions and decimals, ratios and percents, algebraic concepts, geometry and measurement, and data and probability. 47 questions in 40 minutes, four choices each.
Unit questions open after sign-in with a Series pass. Each child's first round is free, with its summary.
Numbers & Operations
Integers, order of operations, fractions and decimals.
2 units
- Operations & Integers — Order of operations every time: parentheses, powers, multiplication/division left to right, then addition/subtraction left to right.
- Fractions & Decimals — Common denominators to add; multiply straight across; divide by multiplying by the reciprocal.
Ratios & Percents
Ratios, rates and percent problems.
1 unit
- Ratios, Rates & Percents — Percent = part/whole × 100. Percent change always divides by the ORIGINAL amount.
Algebraic Concepts
Expressions, equations, inequalities and patterns.
1 unit
- Expressions & Equations — Undo operations in reverse order; keep both sides balanced. Substitute carefully, powers first.
Geometry & Measurement
Area, perimeter, volume, angles, units and the coordinate plane.
1 unit
- Geometry & Measurement — Write the formula first, then substitute. Check the units the answer asks for.
Data Analysis & Probability
Mean, median, range and simple probability.
1 unit
- Data & Probability — Mean = sum ÷ count; median = middle of the ORDERED list; probability = favourable ÷ total.
More topics
Further topics from the exam's official scope.
19 units
- Factors & Multiples
- Angles & Polygons
- Word Problems with Algebra
- Data & Distributions
- GCD & LCM
- Number Patterns
- Roots & Powers
- Triangles
- Simplifying & Evaluating
- Decimals
- Probability
- Circles
- Inequalities
- Nets, Surface Area & Volume
- Ratios & Sharing
- Coordinate Geometry
- Negative Numbers & Absolute Value
- Linear Functions & Lines
- Median, Mode & Spread
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 51 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
What is the smallest whole number that has exactly 6 factors?
Answer: 12
Worked solution
- Check in order: 1 to 11 each have fewer than 6 factors.
- 12 has factors 1, 2, 3, 4, 6, 12 — exactly 6.
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 Mathematics Achievement?
- Primary 2, Primary 3, Primary 4, 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 Mathematics Achievement 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.