Conquering the CPS HSAT Math Section: Key Topics and Problem-Solving Strategies
For many students, the Mathematics section of the High School Admissions Test is the most daunting part of the application process. The combination of varied topics and the pressure of the clock can be challenging. But the good news is that the HSAT Math section is predictable. It tests a specific set of skills that you can master with the right approach.
This guide will break down the key topics you need to know and the problem-solving strategies that will help you turn the math section into a major strength on your application, boosting your standing on the 900-Point Matrix.
The First Hurdle: The No-Calculator Rule
Before we dive into topics, let's address the most important rule: you cannot use a calculator on the HSAT. This means the test isn't designed to measure your ability to perform complex calculations. Instead, it's designed to test your mathematical reasoning and number sense. To prepare, you must practice all math problems without a calculator to build your mental math speed and accuracy.
Core Topic 1: Pre-Algebra & Number Properties
This is the foundation of the math section. These questions test your fundamental understanding of numbers and their relationships.
Key Concepts: Percentages, ratios, proportions, fractions, decimals, exponents, scientific notation, and number properties (e.g., odd/even rules, prime numbers).
What to Expect: Many of these concepts will be presented as word problems related to real-world scenarios like discounts, taxes, or simple interest.
Core Topic 2: Algebra
This is often the largest and most critical part of the math section. A strong grasp of Algebra I concepts is essential.
Key Concepts: Solving single and multi-step linear equations, working with inequalities, understanding functions (input/output), and translating complex word problems into algebraic expressions.
What to Expect: Be prepared to analyze graphs of linear functions and solve for variables in a variety of situations.
Core Topic 3: Geometry
While not as dominant as Algebra, Geometry questions are a consistent presence on the test.
Key Concepts: Area and perimeter of polygons (squares, rectangles, triangles), circumference and area of circles, volume of 3D shapes (cubes, cylinders), the Pythagorean theorem, and basic coordinate geometry (slope, midpoint, distance).
What to Expect: Questions will require you to apply these formulas, sometimes in multi-step problems.
Essential Problem-Solving Strategies
Knowing the topics is only half the battle. You also need strategies to tackle the problems efficiently.
Practice is Paramount: The best way to master both the content and the timing is through repetition. Using CPS HSAT Practice Tests is the most effective way to apply these strategies to hundreds of sample problems. Practice tests reveal your specific weak spots—whether it's geometry or algebraic word problems—allowing you to focus your study time where it will have the greatest impact.
Plug in Numbers: If a problem has variables in the answer choices, make it concrete by picking a simple number (like 2 or 3) for the variable and solving the problem. Then, plug that same number into the answer choices to see which one matches your result.
Work Backwards: For some problems, it's faster to take the answer choices and plug them back into the question to see which one works, rather than solving it from scratch.
Don't Get Stuck: Time management is crucial. If a problem seems too difficult or is taking more than a minute, make your best-educated guess, circle the question in your test booklet, and move on. You can always come back if you have time at the end.
The HSAT Math section is a test of clear thinking and strategy, not complex calculation. By mastering these core topics and practicing with a smart approach, you can conquer this section and take a confident step toward your high school goals. For a complete overview of the entire exam, visit our main guide, Decoding the CPS HSAT.