8th Grade vs. 9th Grade SHSAT Math: Complete Topic List & Advanced Booster Concepts
While the 8th-grade SHSAT tests accelerated Grade 7 and Grade 8 Common Core Math under multi-step word problem constraints, the 9th-grade SHSAT (for 10th-grade entry) adds five advanced Algebra I and Geometry topic clusters.
- Nearly 65% of 8th-grade SHSAT Math centers on Proportional Reasoning, Percent Change, Linear Equations/Inequalities, Rational Number Operations, and 2D/3D Geometry.
- The 9th-grade SHSAT adds Quadratic Functions (Vertex Form & Factoring), Rational Equations, Coordinate Transformations/Dilations, Right-Triangle Trigonometry (sin/cos/tan), and 3D Cones & Spheres.
- On the 2026 Digital SHSAT, students who perform well in the first 15 math items are routed to higher-difficulty multi-step algebra and geometry items.
Many strong 8th-grade math students lose points on the SHSAT not because they lack advanced calculus, but because SHSAT problems combine two or three familiar concepts into a single question—such as embedding a percent-discount calculation inside an inequality or combining similar triangles with coordinate slope.
For 9th-grade re-testers aiming for Stuyvesant, Bronx Science, or Brooklyn Tech 10th-grade seats, mastering the five Grade 9 Advanced Math Booster domains is essential: even 4 to 6 extra correct questions on Quadratics, Rational Equations, and 3D Cones/Spheres can push a Math scaled score above 320.
| Math Domain | Core 8th Grade SHSAT Topics (Packs 1–45) | Additional 9th Grade SHSAT Topics (Packs 46–50) |
|---|---|---|
| Algebra & Functions | Linear equations, systems of 2 equations, slope-intercept, inequalities | Quadratics, vertex form a(x-h)^2+k, zero-product property, rational equations |
| Number & Ratios | Multi-step percent markup/discount, unit rates, scientific notation, exponents | Fractional exponents, exponential growth/decay compounding, recursive sequences |
| Geometry & Measurement | Angle pairs, triangles, Pythagorean theorem, circles, cylinders, prisms | 3D cones & spheres (1/3 pi r^2 h, 4/3 pi r^3), similar-solid scale factors k^2 & k^3 |
| Coordinate & Trig | Midpoint, distance on coordinate plane, reflections & translations | Non-origin dilations, right-triangle sin/cos/tan ratios, radian arc length |
| Statistics & Probability | Compound probability without replacement, weighted averages, box plots | Conditional two-way frequency tables and combinatorics |
Frequently Asked Questions
Should an advanced 8th grader also practice the Grade 9 SHSAT Booster Packs?
Once an 8th grader reaches 85%+ accuracy across the 45 Core Grade 8 Packs, practicing the Grade 9 Booster Packs (Packs 46–50) is an excellent way to prepare for upper-tier adaptive Stage 2 math items.
Take the Free 75-Minute 2026 Digital SHSAT Starter Test
Experience real computer-adaptive routing, one-way navigation rules, and get an instant Reading & Math Skill Map.