FREE
HSPT Math Practice Tests

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Free HSPT Math Diagnostic Tests

Take the Varsity Learning Tools free diagnostic test for HSPT Math to determine which academic concepts you understand and which ones require your ongoing attention. Each HSPT Math problem is tagged down to the core, underlying concept that is being tested. The HSPT Math diagnostic test results highlight how you performed on each area of the test. You can then utilize the results to create a personalized study plan that is based on your particular area of need.

HSPT Math Diagnostic Test 1

Questions: 50
Test Difficulty:
Average Time Spent: 4 hrs 19 mins

HSPT Math Diagnostic Test 2

Questions: 64
Test Difficulty:
Average Time Spent: 3 hrs 48 mins

HSPT Math Diagnostic Test 3

Questions: 64
Test Difficulty:
Average Time Spent: 9 hrs 55 mins

HSPT Math Diagnostic Test 4

Questions: 64
Test Difficulty:
Average Time Spent: 3 hrs 36 mins

HSPT Math Diagnostic Test 5

Questions: 64
Test Difficulty:
Average Time Spent: 8 hrs 18 mins

HSPT Math Diagnostic Test 6

Questions: 64
Test Difficulty:
Average Time Spent: 9 hrs 44 mins

The fourth section of the HSPT exam is the Mathematics section. The Mathematics section is 45 minutes long and is the longest individual section on the test. It is one of two sections on the test featuring mathematical questions. The Mathematics section also features sixty-four questions, the greatest number on any section of the test; however, students are also given the most time per question (a little less than 45 seconds per question, on average) of any section on the test.

The Mathematics section features two basic types of questions: Concepts and Problem Solving. There are 24 Concepts questions and 40 Problem Solving questions. Concepts questions are very similar to the types of math questions students encounter in class. Short questions such as “Find the area of a circle,” or “Solve for x,” or “The greatest common factor of 12 and 18 is?” can be found in this subsection of the test. These questions tend to be short, direct, and feature a single mathematical concept. The opposite is true for Problem Solving questions. These questions tend to be longer and more drawn-out. Most of the questions that could be classified as a “story problem” are featured here. These questions tend to combine two or more concepts into a single question. For instance, a question might give you the area of a square and then ask you to find its perimeter.

Like many of the sections on the HSPT, the number of questions and lack of time to solve them might seem overwhelming at first. A few simple strategies will help a student cope with this. First, students should guess on any question to which they do not know the answer. This is because there is no penalty for an incorrect answer. Second, students should skip questions that they find to be difficult in order to ensure they see all of the easiest questions. Correct answers are scored as 1 point, regardless of how difficult the question is; therefore, students should put off the hardest questions until the end of their time limit, as much as possible. Finally, use Varsity Tutors’ free HSPT Mathematics Practice Tests to practice for this section of the exam in advance. Each free HSPT Mathematics Practice Test is made up of between ten and twelve problems. You can choose to either do a varied assortment of problems drawn from different mathematical topics tested on the HSPT’s Mathematics section, or you can focus on one particular mathematical topic that is giving you trouble. No matter which way you take them, make sure to read the explanation for each question, especially those that you happen to get wrong. That way, you can learn from your mistakes and not make those same mistakes when you take the real HSPT!

You might also want to try one of the free Full-Length HSPT Mathematics Practice Tests, which ask you questions on all of the topics you’ll need to have mastered before the test. These complete practice tests are an easy way to get some practice while you assess your knowledge. Upon finishing the test, the results page will provide you with a variety of scoring metrics, detailed explanations of each question’s correct answer, and links to further review of pertinent concepts. These free online practice tests can assist you as you build a custom HSPT study plan, because the results tell you exactly which topics need more review. This helpful feature allows you to fine-tune your review plan. After you’ve done some review using the other Learning Tools, you can evaluate your progress by taking another of the Full-Length HSPT Mathematics Practice Tests.

 

Free HSPT Math Practice Tests

Our completely free HSPT Math practice tests are the perfect way to brush up your skills. Take one of our many HSPT Math practice tests for a run-through of commonly asked questions. You will receive incredibly detailed scoring results at the end of your HSPT Math practice test to help you identify your strengths and weaknesses. Pick one of our HSPT Math practice tests now and begin!

Practice Tests by Concept

Concepts practice test

Questions: 37
Test Difficulty:
Average Time Spent: 1 hrs 13 mins

Algebra practice test

Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 36 secs

How to simplify expressions practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

How to solve one-step equations practice test

Questions: 1
Test Difficulty:
Average Time Spent: 10 secs

How to solve two-step equations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 52 secs

Arithmetic practice test

Questions: 20
Test Difficulty:
Average Time Spent: 7 mins

Decimals practice test

Questions: 9
Test Difficulty:
Average Time Spent: 27 mins

How to add and subtract decimals practice test

Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 58 secs

How to multiply and divide decimals practice test

Questions: 5
Test Difficulty:
Average Time Spent: 3 mins

Fractions practice test

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

How to add and subtract fractions practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 57 secs

How to multiply and divide fractions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 59 secs

Negative numbers practice test

Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 22 secs

How to add/subtract/multiply/divide negative numbers practice test

Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 30 secs

Percentages practice test

Questions: 1
Test Difficulty:
Average Time Spent: 35 secs

How to work with percentages practice test

Questions: 1
Test Difficulty:
Average Time Spent: 28 secs

Geometry practice test

Questions: 11
Test Difficulty:
Average Time Spent: 5 mins

How to do coordinate geometry practice test

Questions: 5
Test Difficulty:
Average Time Spent: 3 mins

How to find surface area practice test

Questions: 33
Test Difficulty:
Average Time Spent: 10 mins

How to find the area of a figure practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 3 secs

How to find the measure of an angle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 45 secs

How to find the perimeter of a figure practice test

Questions: 1
Test Difficulty:
Average Time Spent: 28 secs

How to find the volume of a figure practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 11 secs

Problem solving practice test

Questions: 40
Test Difficulty:
Average Time Spent: 21 mins

Algebra practice test

Questions: 2
Test Difficulty:
Average Time Spent: 5 mins

How to simplify expressions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 39 secs

How to solve one-step equations practice test

Questions: 1
Test Difficulty:
Average Time Spent: 29 secs

How to solve two-step equations practice test

Questions: 6
Test Difficulty:
Average Time Spent: 3 mins

Arithmetic practice test

Questions: 7
Test Difficulty:
Average Time Spent: 6 mins

Decimals practice test

Questions: 1
Test Difficulty:
Average Time Spent: 12 secs

How to add and subtract decimals practice test

Questions: 2
Test Difficulty:
Average Time Spent: 51 secs

How to multiply and divide decimals practice test

Questions: 1
Test Difficulty:
Average Time Spent: 19 secs

Fractions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 37 secs

How to add and subtract fractions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 12 secs

How to multiply and divide fractions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 32 secs

Negative numbers practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 1 secs

How to add / subtract / multiply / divide negative numbers practice test

Questions: 2
Test Difficulty:
Average Time Spent: 33 secs

Percentages practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 41 secs

How to work with percentages practice test

Questions: 2
Test Difficulty:
Average Time Spent: 48 secs

Geometry practice test

Questions: 15
Test Difficulty:
Average Time Spent: 1 hrs 28 mins

How to do coordinate geometry practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 25 secs

How to find surface area practice test

Questions: 10
Test Difficulty:
Average Time Spent: 29 mins

How to find the area of a figure practice test

Questions: 5
Test Difficulty:
Average Time Spent: 39 mins

How to find the measure of an angle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 0 secs

How to find the perimeter of a figure practice test

Questions: 7
Test Difficulty:
Average Time Spent: 2 mins 42 secs

How to find the volume of a figure practice test

Questions: 1
Test Difficulty:
Average Time Spent: 33 secs

Word problems practice test

Questions: 23
Test Difficulty:
Average Time Spent: 10 mins

How to do distance problems practice test

Questions: 3
Test Difficulty:
Average Time Spent: 4 mins

How to do other word problems practice test

Questions: 22
Test Difficulty:
Average Time Spent: 7 mins

How to do work problems practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 1 secs
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