What Kind of Math Is on the HSPT Test?

What Kind of Math Is on the HSPT Test?

The HSPT (The High School Placement Test), also known as the STS-HSPT, is an admissions test designed to determine students’ ability to get admission to parochial high school. This test is formulated by the Scholastic Testing Service (STS). Participating in this test can be very important for people who are looking for admission to many private schools.

The HSPT test consists of five multiple-choice sections:

Verbal skills, quantitative skills, reading, mathematics, language.

In the HSPT test, quantitative skills and mathematics are different parts. In the quantitative skills section, test takers must answer 52 questions, including Number Series, Geometric Comparison, Non-Geometric Comparison, and Number Manipulation. In the mathematics section, students’ mathematical knowledge is assessed. The math section of the test includes arithmetic, geometry, algebra, and word problems.

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Quantitative skills

Number Series

In this section, identifying a pattern is very important for solving sequence problems. You should be able to determine the relationship between letters, numbers, and symbols in a specific sequence. You are actually given a set of numbers and you should be able to find a number that has a significant relationship with the sequence.

Geometric Comparison

To answer the questions in this section, you must use your geometry skills, compare geometric shapes and shaded areas, and find the best answer.

Non-Geometric Comparison

The questions in this section involve comparing and solving multi-step equations that do not include geometry. In this section, you should read and understand the question well and then answer the questions using your math skills.

Number Manipulation

In this area, you have to use different mathematical steps to be able to solve given problems by manipulating numbers and solutions.



This section focuses on concepts such as Addition, Subtraction, Decimals, Multiplication, Division, Fractions, Order of Operations, Percentages. Understanding the basic concepts in this section is essential. The purpose of including such questions in this section is to measure your ability to perform calculations in these areas.


The math section of the HSPT exam does not go into the geometry section in-depth, and you will rarely encounter complex and advanced geometry questions. The geometry section tests your knowledge of topics such as Angles, Graphing, Plane Figures, Volume of Solid Figures.


As it turns out, in this section you are more faced with algebraic equations and how to solve problems. In algebra, you should assign variables to unknowns instead of spaces or question marks, and use algebraic rules to solve algebraic expressions.

Word problems

In the math section of the HSPT test, you may also encounter more basic math concepts such as Word Problems: Distance, Rate, Time. Therefore, mastering these mathematical concepts is a necessity for success in this part of the HSPT Math test.

math sectionstopicsNumber of questions
#1Number SeriesThe ability to determine the relationship between numbers, letters, and/or symbols in a sequence.18
#2Geometric ComparisonCompare geometric shapes and shaded areas9
#3Non-Geometric Comparisoncomparing and solving multi-step equations8
#4Number ManipulationUsing different mathematical steps to solve given problems17
#5arithmeticSimplifying Fractions, Adding and Subtracting Fractions, Multiplying and Dividing Fractions, Adding Mixed Numbers, Subtracting Mixed Numbers, Multiplying and Dividing Mixed Numbers, Dividing Mixed Numbers, Adding and Subtracting Decimals, Multiplying and Dividing Decimals, Comparing Decimals, Rounding Decimals, Factoring Numbers, Greatest Common Factor, Least Common Multiple, Adding and Subtracting Integers, Multiplying and Dividing Integers, Order of Operations, Ordering Integers and Numbers, Integers and Absolute Value, Simplifying Ratios, Proportional Ratios, Similarity and Ratios, Percentage Calculations, Percent Problems, Discount, Tax and Tip, Percent of Increase and Decrease Simple Interest14-16
#6geometryPythagorean Theorem, Triangles, Polygons, Trapezoids, Circles, Cubes, Rectangular Prism, Cylinder10-12
#7algebraSimplifying Variable Expressions, Simplifying Polynomial Expressions, Translate Phrases into an Algebraic Statement, The Distributive Property, Evaluating One Variable Expression, Evaluating Two Variables Expressions, Combining like Terms, Multiplication Property of Exponents, Division Property of Exponents, Zero and Negative Exponents, Powers of Products and Quotients, Negative, Exponents and Negative Bases, Scientific Notation, Radicals, Polynomials, Function Notation, and calculation, Adding and Subtracting Functions, Multiplying and Dividing Functions, Composition of Functions16-20
#8word problemsWord problems are related to rate, time, distance, and work problems (two or more workers performing at different rates).22-24

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Complete List of HSPT Math Topics

Fractions and Decimals

Real Numbers and Integers

Proportions, Ratios, and Percent

Algebraic Expressions

Equations and Inequalities

Linear Functions

Exponents and Radicals


Geometry and Solid Figures

Statistics and Probability



Is the HSPT Math test hard?

The HSPT test is one of the easiest tests. However, it can be very challenging if you are not prepared enough for the test.

How do I study for the HSPT Math? 

How you prepare for the HSPT Math test is very important. You can use good prep books to prepare well for the HSPT Math test. You can also use online practice tests for further practice after studying the HSPT exam courses.

Can I bring a calculator to the HSPT test?

Some schools allow students to use basic calculators when taking the HSPT test.

How is the HSPT Test Scored?

The HSPT scores are reported in percentiles. 76th to 99th percentiles are considered high. 24th- 75th percentiles are average, and 1st to 23rd percentiles are low. for more information, you can check here.

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Do you need sample practice questions to assess your math skills for the HSPT test?

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Do not know how to reduce the stress of the HSPT math test and pass the test well?

Get rid of test stress with just a few tips: Top 10 Tips to Overcome HSPT Math Anxiety

Having trouble memorizing HSPT math test formulas?

This is a problem for many test-takers. It is best to always have a list of HSPT Math Formulas with you to better memorize them.

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