# Free Basic Arithmetic Diagnostic Tests

Take the Varsity Learning Tools free diagnostic test for Basic Arithmetic to determine which academic concepts you understand and which ones require your ongoing attention. Each Basic Arithmetic problem is tagged down to the core, underlying concept that is being tested. The Basic Arithmetic 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.

### All Basic Arithmetic Resources

Basic arithmetic forms the foundation of students’ mathematical knowledge, and it is traditionally the first mathematical concept taught that involves performing operations on numbers to solve simple equations that involve no unknown variables.

To understand basic arithmetic, students must already understand rudimentary concepts of number theory, i.e. how to count. The first basic arithmetic concept that students learn is addition, or how to combine the values of two numbers together to calculate their sum. Subtraction is also introduced as the opposite operation of addition; students learn that by subtracting a number from another number, they calculate the remainder after the number subtracted is removed from the total quantity represented. Students initially learn these concepts with single-digit whole numbers, but are later taught to add and subtract numbers with two, three, or more digits by hand; this introduces the concept of numerical places and provides a solid foundation for later learning about decimals.

After mastering basic addition and subtraction, students are introduced to multiplication and division as another pair of opposite operations. Students may begin learning about multiplication using visual representations of groups of objects; this is done in order to help them comprehend that multiplication duplicates a number a number of given times. For instance, students might learn that having a pair of socks is equivalent to having one group of two socks, but multiplying 2 x 3 yields a total of 6, or the equivalent of having three pairs of socks.

After learning basic multiplication, students learn basic division. Visual groupings of objects may also be utilized when teaching students division, as well as analogies such as the idea that division splits large groups into smaller groups of a certain number of objects and counts the number of smaller groups.

Once students have mastered simple single-digit multiplication and division, they will be challenged to incorporate the same concepts into more difficult problems involving larger numbers. Multiplying and dividing large numbers by hand is a skill that many students find difficult to learn, but is very rewarding.

Once students have mastered addition, subtraction, multiplication, and division, they move on to other mathematical concepts such as how to work with decimals, fractions, and percents, as well as negative numbers and absolute value; however, a great number of all of the other mathematical concepts they will learn in the rest of their academic careers all depend on a solid foundational understanding of basic arithmetic, so it is absolutely crucial that students clearly understand the concepts and do not unwittingly misunderstand them, as such misunderstandings can derail later attempts to learn about more difficult math.

# Free Basic Arithmetic Practice Tests

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

Basic arithmetic forms the foundation of solid mathematical learning and covers an assortment of skills. The free Basic Arithmetic Practice Tests from Varsity Tutors’ Learning Tools provide the practice and the flexibility to tailor your own unique basic arithmetic study plan. Most importantly, the practice tests can act as a basic arithmetic assessment which allows you to assess your skills so that you can focus on the areas that you need to review.

Not only will the Basic Arithmetic Practice Tests assess your skills, they will challenge you to improve your knowledge. The practice tests are flexible and available whenever you have a moment to study. The single-concept practice tests can be completed in a few short minutes and provide you with instant feedback. You will be able to track your performance and to see your results in real time. You can also share your results with friends, family, or study groups through social media.

Begin your study session by taking one of the free Basic Arithmetic Full-Length Practice Tests to determine a starting point. At the end of the test, you will receive valuable feedback that will help you to determine your strengths and to pinpoint any weaknesses in basic arithmetic. The feedback will include the length of time that it took to answer each question and a percentile comparison of your performance to others who have taken the test. After receiving your feedback, you will be able to drill down into individual concepts on which you may need more review.

Each question is tagged with the applicable concepts so that you may create a customized basic arithmetic study plan that focuses on the specific concepts that you need to review. Each practice test question also provides a detailed explanation on how to solve the problem, allowing you to check your work. Once you have determined the areas you need to review, you can utilize the Learn by Concept interactive syllabus to access free basic arithmetic example problems.

The Basic Arithmetic Practice Tests cover all the major concepts of basic arithmetic, including averages, division, exponents, factoring, fractions, linear equations, money, multiplication, percentage, rates, ratios, statistics, and time. The practice tests are categorized by concept and include a difficulty rating, allowing you to choose a comfortable starting point. As your skills improve, you can increase the difficulty of your tests.

In addition to the Basic Arithmetic Practice Tests, Varsity Tutors’ Learning Tools include the Question of the Day, Learn by Concept syllabus, and flashcards to enhance your learning process. You can take advantage of the hundreds of free basic arithmetic flashcards or use the flashcards builder to focus on concepts that you need to review. You can also focus your study on particular concepts through the Learn by Concept interactive syllabus. Once you have brushed up on your skills, return to the Practice Tests to test your knowledge.

Learning basic arithmetic can seem like a daunting experience; however, the comprehensive and free Basic Arithmetic Practice Tests will help you keep your learning on track. Combined with the other Learning Tools, you will find a complete basic arithmetic study guide that can assist you in your studies.