Question 1
Look at this series: 1, 4, 9, 5, 17,… What number should come next?
Correct Answer:
6
Explanation:
Correct answer: 6
Question 2
Examine (A), (B), and (C) and find the best answer.
Correct Answer:
and (B) are equally shaded.
Explanation:
Correct answer: and (B) are equally shaded.
Question 3
What number is 3 more than 20% of 100?
Correct Answer:
23
Explanation:
Correct answer: 23
Question 4
Look at this series: 567, 542, 517, 492,… What number should come next?
Correct Answer:
467
Explanation:
Correct answer: 467
Question 5
Look at this series: 9, 12, 11, 14, 13, 16, 15,… What two numbers should come next?
Correct Answer:
18, 17
Explanation:
Correct answer: 18, 17
Question 1
Exam overview

About this Exam

The High School Placement Test (HSPT) is a critical standardized exam used by many Catholic and private high schools across the country as part of their admissions process. This rigorous test is designed for students in the 8th grade who are applying for admission into the 9th grade. The HSPT comprehensive battery measures academic aptitude and skills in several key areas. The Quantitative Skills subtest, in particular, assesses a student's ability to understand, analyze, and solve problems involving numbers and mathematical concepts, serving as a key indicator of readiness for high school mathematics coursework. This specific practice test focuses exclusively on preparing students for the structure, content, and pacing of the Quantitative Skills section.

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Additional Information

What the Course Entails and Exam Details

This practice guide focuses specifically on the Quantitative Skills section of the HSPT. While not a prerequisite "course," mastering these skills involves reviewing core mathematics content typically covered by the end of 8th grade. The topics evaluated in this section include:

Operations with whole numbers, fractions, decimals, and percentages.

Basic algebraic concepts, simple equations, and inequalities.

Fundamental geometric properties, including area, perimeter, volume, and angles.

Interpreting tables and graphs.

Multi-step word problems requiring critical thinking and logical reasoning.

The official HSPT is a timed, standardized exam. The Quantitative Skills section typically consists of approximately 52 multiple-choice questions.

Students are given a specific timeframe, usually around 30 minutes, to complete this section. This means speed and accuracy are crucial.

Importantly, calculators are strictly prohibited during the actual HSPT Quantitative Skills section. This practice test mimics that requirement, emphasizing mental math and manual calculation.

Scoring on the HSPT is typically normative, comparing a student's performance against a national group.


What to Expect in the Final Exam

When taking the final HSPT, students can expect a structured environment, typically within the high school to which they are applying. The exam atmosphere will be formal, and adherence to testing rules is mandatory.

The Quantitative Skills section will immediately follow or precede other subtests like Verbal Skills, Reading, Mathematics (which is distinct from Quantitative Skills and often allows calculators), and Language.

Students will be provided with a test booklet and a separate answer sheet.

It is vital to listen carefully to the proctor’s instructions before starting the timed section.

Because calculators are not allowed, rough work must be done within the test booklet margins or on provided scrap paper.

There is typically no penalty for guessing on the HSPT, so students should aim to answer every question within the time limit.


How to Study and Exam Centers

Effective preparation is essential for success on the HSPT Quantitative Skills section. Here are actionable strategies:

The questions move quickly. Practice solving math problems without a calculator to build speed, accuracy, and confidence.

Use timed practice tests, like this 2026 practice test, to familiarize yourself with the pace required. Aim to answer each question in under one minute.

Identify any weak areas in fractions, percentages, basic algebra, or geometry and focus study time there.

Analyze results from practice exams to understand types of questions missed and the underlying mathematical concepts.

Practice multiple-choice elimination techniques for word problems.

Learn and practice methods to quickly estimate answers for arithmetic problems.

The official HSPT is administered primarily at the specific high schools where students are applying. Registration is usually handled directly through the high schools during the fall of the student’s 8th-grade year. Test dates typically occur on specific weekends in November, December, or January. It is not offered at commercial testing centers like Pearson VUE or as an online exam.


Benefits of Strong Performance

While a high school placement test does not directly unlock job opportunities, achieving a strong score on the HSPT Quantitative Skills section offers significant educational and long-term advantages:

A competitive HSPT score is often a key factor in securing admission to selective Catholic and private high schools.

Many high schools use HSPT subtest scores, particularly in mathematics and quantitative skills, to place incoming freshmen into appropriate level courses, including honors or advanced math tracks.

Strong performance on the HSPT can make students eligible for merit-based academic scholarships offered by the high school.

The fundamental skills reinforced while preparing for the HSPT provide a robust academic foundation for success in challenging high school coursework.

Doing well on a standardized test builds a student's confidence in their academic abilities as they transition to high school.

Entering advanced math tracks early can provide better preparation for college entrance exams (like the SAT/ACT) later in high school.


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