ISEE Middle Level Math Review
On the ISEE Middl level, math skills are tested in the Quantitative Reasoning and Mathematics Achievement sections. The ERB follows the standards set forth by the National Council of Teachers of Mathematics (NCTM) to determine how the ISEE will test a student’s ability in mathematics. Students taking the ISEE Middle Level should be familiar with the following concepts, as stated by the ERB:
Numbers and Operations

Analyze, perform operations on, and compare integers, fractions, decimals, and percents
Algebra

Represent, interpret, and evaluate mathematical situations involving patterns, functions, and relationships
Geometry
 Understand characteristics and properties of geometric figures; and
 Describe geometric shapes and figures
Measurement
 Understand and use formulas for measurable attributes of objects
Data Analysis & Probability
 Collect, display, interpret, and make predictions about a set of data
 Understand and apply the basic concepts of probability
Mathematics Review
Listed in the column to the right, you’ll find quick review guides for the 40 of the most important math topics tested on the ISEE Middle Level. Though you may be familiar with a concept, it would behoove you to review the information and complete the practice.
It is important to note that some of the concepts covered in this review are ones that you probably have never seen before. Do not worry if this is true. Instead, you should solidify your knowledge of familiar concepts, and then begin building your knowledge of the new concepts.
Math Review Topics
 Estimation & Rounding
 Number Types
 Mathematic Properties
 Order of Operations
 Arithmetic Word Problems
 Number Lines
 Fractions & Decimals
 Powers & Roots
 Scientific Notation
 Factors & Multiples
 Prime Numbers
 Ratios & Proportions
 Percentages
 Percent of Change
 Sequences
 Set Notation
 Fundamental Counting Principle
 Probability
 Distance, Rate, & Time
 Work Word Problems
 Simple & Compound Interest
 Mean, Median, Mode, Range, & Weighted Average
 Units of Measurement
 Operations on Algebraic Expressions
 Multiplying Polynomials
 Factoring Algebraic Expressions
 Balancing Algebraic Equations
 Absolute Value
 Inequalities
 Systems of Linear Equations
 Linear Equations & Their Graphs
 Linear Inequalities & Their Graphs
 Function Notation
 Transformations on Functions
 Geometric Notation
 Types of Angles
 Triangles: Types and Rules
 Polygons: Angles, Perimeter, and Area
 Circles
 Solid Geometry: Surface Area and Volume