ATI TEAS Math Practice Test (2024)

Are you preparing for the ATI TEAS Math Test? You've come to the right place! This crucial component of the ATI TEAS exam can be challenging, but with the right resources and preparation, you can boost your confidence and improve your scores. On this page, we'll provide you with valuable information, free practice materials, and insights into premium test packs that can take your preparation to the next level.

Level up your TEAS Math skills with our focused Math Test pack. 

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What Is the ATI TEAS Math Test?

The ATI TEAS Math is a section that is found inside the ATI TEAS exam. It is comprised of the following topics: 

  • Numbers & Algebra (18 items) 
  • Measurement & Data (16 items) 
  • Additional 4 pretest items are included that do not count for your final score 

You will have 54 minutes to answer the 38 items on the Math section. The use of a calculator in this section is permitted. 

We recommend you use our study guide to ensure you cover all sub-topics. You will be given here a few sample questions from each domain, but notice that each domain has the following sub-topics: 

  • Numbers and Operations: order of operations, place value, number order, rounding, fractions, decimals, percentages, constant and variables, equations and inequalities, and problem solving.  
  • Measurement & Data: US standard system of measurement, metric system of measurement, converting between measurements, geometric/physical quantities, reading data, variable relationships, and statistics terms.  

 


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Free TEAS Math Sample Questions

Below are some math problems similar to those found on the ATI TEAS Math Test and those found in our Test Prep Pack and our free TEAS Test page. We will look at different types of questions from each of the two areas.  

Numbers and Operations:

Question #1 – Problem Solving

In a TV competition show called "Asgard's got talent" each competitor receives 100 points for every two judges' compliments and 20 points for every 36 family's compliments.

How many points did the competitor "Regina Avalon" obtain if we know she has received 6
compliments from the judges and 12 compliments from each family member?

Additional information- Regina's family is made up of 12 people.

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Answer & Explanation

The correct answer is (D) – 380.

A good way to tackle this question will be to use a ratio table:

teas math practice test

For every 2 compliments from the judges, each competitor receives 100 points. Regina Avalon received 6 compliments from the judges which means the ratio needs to be expanded times 3. Therefore, she received 300 points from the judges.

teas math practice test

For every 36 compliments from their family, each competitor receives 20 points. Regina Avalon received 144 compliments from her family which means the ratio needs to be expanded times 4 (you can simply divide 36/144 in order to find that the ratio is 1:4). Therefore, she has received 80 points from the judges. 
Thus, the total amount of points Regina Avalon has received is:
300 + 80 = 380.

    When approaching complex word problems like the one about "Asgard's Got Talent," follow these steps to improve your problem-solving skills:
  1. Read carefully: Make sure you understand all the information given. In this case, the scoring system and Regina's specific situation.
  2. Identify key information: Pick out the important numbers and relationships. Here, it's the point system and Regina's compliments.
  3. Break it down: Divide the problem into smaller, manageable parts. In this example:
    • Points from judges' compliments
    • Points from family compliments
  4. Use ratios: When you see relationships like "100 points for every 2 judges' compliments," think in terms of ratios. This can simplify your calculations.
  5. Show your work: Write out each step of your calculation. This helps you catch errors and makes it easier to check your work.
  6. Check your answer: Always verify if your final answer makes sense in the context of the problem.
  7. Practice, practice, practice: The more word problems you solve, the better you'll become at recognizing patterns and applying problem-solving strategies.

Remember, math is about understanding relationships and patterns, not just memorizing formulas. Keep practicing, and you'll see improvement!

 

We will continue and tackle a fractions question where we have to convert among fractions, decimals, and percentages: 

Question #2 - Fractions

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The correct answer is (A).

To compare fractions, we need to find a common denominator or convert them to decimal form. In this case, converting to decimals is the quickest method. 

Let's convert each fraction to a decimal: 

  • A.  40÷63 = 0.6349 B. 63÷40 = 1.575  C. 17÷6 = 2.8333  D. 288÷358=.2286

Now, let's order these from smallest to largest: 

0.6349 < 1.575 < 2.8333 < 8.2286 

We can see that 40÷63 ( 0.6349) is the smallest value, making it the correct answer. 

When comparing fractions, especially when there's no obvious common denominator, consider converting them to decimals. You don't always need to calculate the exact decimal - often, just the first few decimal places are enough to compare the values. This method can save time and reduce the chance of calculation errors, especially in multiple-choice questions.
Remember, you can use a calculator for these conversions.


The skill of converting between fractions and decimals is also useful when you solve difficult calculations. Let's look at a sample question that involves knowing the order of calculation:

Question #3 - Order of Operations

What is

?

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The correct answer is (A).

Using the correct order of operations, PEMDAS, first evaluate what is inside each bracket. Next, perform any multiplication or division. At the end, add or subtract any values. See below:



The final step simplified the fraction by multiplying the numerator and denominator by four. This removed the decimal number within the fraction.

To understand why it was multiplied by four, it suffices to look at the answer choices. The numerators are all whole numbers (either 11 or 35). To get from 2.75 to 11, you need to multiply by four. Remember to also multiply the denominator below so that the fraction remains equivalent.

When solving complex expressions with multiple operations, always use the PEMDAS rule (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right)to make your work clearer and reduce mistakes:

  • Tackle one operation at a time. Don't try to do multiple steps in your head.
  • Write out each step clearly, even if it seems simple. This helps you track your work and spot errors.
  • When dealing with fractions or decimals in your final answer, look at the answer choices. They often provide a clue about how to simplify or adjust your result. For instance, if your answer is a decimal but the choices are fractions, you'll need to convert.
  • If you're stuck, try working backwards from the answer choices. Sometimes, you can identify the correct path by seeing what operations lead to the given options.
  • Practice regularly with various types of problems to become more comfortable with the order of operations and to recognize common patterns in these questions.

Remember, consistency and careful step-by-step work are key to mastering these types of problems!


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Question #4-Rounding of Decimals

For the following blood test, you are required to send at least 0.175 liters  of blood to the laboratory. Which of the following amounts can be sent: 

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Let's approach this step-by-step:

First, let's convert 0.175 liters to milliliters:
0.175 L = 0.175 × 1000 ml = 175 ml
Now, let's examine each option:

  • 162 ml - This is less than 175 ml, so it's not enough. It's incorrect.
  • 145 ml - This is also less than 175 ml, so it's not enough. It's incorrect.
  • 172 ml - This is less than 175 ml, so it's not enough. It's incorrect.
  • 198 ml - This is more than 175 ml, so it's enough. This is correct.

Regarding rounding:
In medical contexts, it's crucial to meet the requested requirements. In this case rounding down could lead to insufficient sample size, potentially affecting test results. Therefore, we always round up or choose an amount that exceeds the minimum requirement as you are required to send more than the minimum amount.

The correct answer is option D: 198 ml.

  • Identify the target decimal place (in this case, hundredths is the second digit after the decimal point).
  • Look at the digit immediately to the right of your target place.
  • If this digit is 5 or greater, round up. If it's less than 5, round down.
  • After rounding, all digits to the right of the target place should be zeros if shown, or can be dropped entirely.

Be careful not to confuse decimal places with significant figures - they're different concepts!

Practice identifying decimal places quickly: tenths (1st after decimal), hundredths (2nd), thousandths (3rd), and so on. This skill will help you in many math and science applications. Try our free science test practice and see for yourself.


Master TEAS Math: Your Free Study Guide Awaits!

Now that you've explored the "Numbers and Operations" section, take your TEAS Math prep to the next level. Our comprehensive free study guide covers all essential topics.

Download Your free TEAS 7 Math Study Guide PDF

Use it with our free TEAS practice test below

Measurement and Data

There are 16 questions in this sub-section - Measurement and Data. Make sure you understand the answers and explanations provided, and use our Study Guide to familiarize yourself with the subtopics:

The following question shows that you can read bar graphs, line graphs, and pie charts.

Question #5 - Reading Data

A teacher in school asked students whether they had tried a cigarette or not. The data is displayed in the chart. What is the mean percent of students who have tried a cigarette aged 15 through 18? (Round the answer to the nearest tenth.)

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The correct answer is (B).

To find the mean of students aged 15 through 18, you need to add all the percentages and divide by 4, as there are four groups of students:

{25 + 47 + 59 + 42}/{4} = 43.3%

Answer (A) is the mean of ages 12 through 18.

Answer (C) is median of the ages.

Answer (D) is the range of the ages.

  • Read the question carefully: Identify exactly what data you need to use. In this case, it's specifically asking about ages 15 through 18, not all ages shown.
  • Extract the relevant data: Write down only the numbers you need. This helps you focus and avoid mistakes from irrelevant information.
  • Remember the mean formula: Sum of values ÷ Number of values. Don't forget to count how many data points you're using.
  • Check the units and rounding instructions: Make sure your answer is in the format requested (in this case, a percentage rounded to the nearest tenth).
  • Use elimination: If you're unsure, calculate what the other answer choices represent. They often correspond to common mistakes or misinterpretations of the data.

Is your reading comprehension up to standard? TEAS 7 has a reading comprehension test.

A good strategy for analogy questions is to start by making up a short, simple sentence to connect the two words in the first analogy. For example: “A parody is satirical.” Then, you can substitute in the words from the second analogy to help you eliminate answer choices. 

 

Let's move on to the next measurement and data question. This question asks you to identify independent and dependent variables and to distinguish between positive and negative correlations.

Question #6 - Variables Relationships:

Which of the following statements about the table are correct?

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The correct answer is (C).

In the table, both variables are going up—time is increasing and average waist size is increasing. The year is the independent variable as it is not affected by waist size. So, it is fair to say that as the year increases, waist size also increases.

Answer (A) is incorrect as there is a positive covariance shown between these variables.
Answer (B) is incorrect as the independent variable should go on the x axis. The independent variable is time, not waist size.
Answer (D) is incorrect as these variables have positive covariance, which means the slope of the line between two points is positive.

Therefore, the correct answer is (C).

When analyzing relationships between variables in a table or graph: 

  • Identify the variables: Determine which is the independent variable (usually time or the factor being changed) and which is the dependent variable (the outcome being measured). 
  • Look for trends: Observe how the dependent variable changes as the independent variable increases. Does it go up, down, or stay relatively constant? 
  • Understand covariance: Positive covariance means both variables tend to increase together (or decrease together). Negative covariance means as one increases, the other tends to decrease.

Visualize the graph: Even if not asked to draw it, mentally picture how the data would look on a graph. Remember:  

  • Independent variable goes on the x-axis 
  • Dependent variable goes on the y-axis 
  • Positive relationship: line slopes upward from left to right 
  • Negative relationship: line slopes downward from left to right 

Be careful with terminology: Know the difference between correlation, causation, and covariance. A relationship doesn't always imply cause and effect. 

Consider all options: Read all answer choices carefully. Sometimes more than one might seem correct, but there's usually a best answer based on the specific wording. The TEAS Test also requires a high level of English language usage. Try our free English language usage test now.  

Moving on to the topic of medication dosages and unit conversions, let's examine a critical scenario involving an allergic reaction and emergency treatment.

Question #7 - Converting between Measurements:

Harriet, who is allergic to peanuts, accidently consumed a small amount of peanut oil while visiting a restaurant. Consequently, she suffered from anaphylactic shock, and was rushed to the nearest hospital, where she was injected with a 150 micrograms/0.3ml adrenaline solution.

How much adrenaline is found in 1 milliliter of the solution?

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The correct answer is (D).

Notice that all the answer choices are in milligram units, while the information in the question is in microgram units. Therefore, the first thing you need to do is to convert the information so that it matches the answer choices:
Micrograms to milligrams = mcg/1,000
150 micrograms/1,000 = 0.15 mg

Thus, the ratio of the solution can be written as:
0.15 mg/0.3 ml.

Indicate the amount of adrenaline you are interested in as “Y” and arrange all of the relevant information:

0.15mg is found in 0.3ml
Y mg is found in 1ml




→ Y mg = 0.5mg. 


Shifting our focus to everyday medical calculations, we'll now consider a common situation many medical staff face when administering over-the-counter medication to their children.

Question #8 - Basic Arithmetic in a Pratical Setting

Mary wishes to give liquid Tylenol to her two young children (3 and 5 years old), both suffering from fever. According to the label, between the ages of 2–3, the recommended dosage is 5 milliliters, and between the ages of 4–5, the recommended dosage is 7.5 milliliters. For both age groups, a maximum of five doses are allowed per day.
How much liquid Tylenol does Mary have to buy if she wants to be sure she has enough medicine to give both children maximum dosages for four days?

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The correct answer is (A).

To solve this question, you need to calculate the maximum total amount for each child and then sum the two together to arrive at the correct answer.
For the 3 year old – 5 milliliters (age group dosage) x 5 (times a day) x 4 (days) = 100 milliliters.
For the 5 year old – 7.5 milliliters (age group dosage) x 5 (times a day) x 4 (days) = 150 milliliters.
Thus, the total amount Mary has to buy is 100 milliliters + 150 liters = 250 milliliters.

We conclude our free sample TEAS Math questions by asking a question about data.

Question #9 - Data

6, 23, 25, 27, 27, 29, 31, 36

Which of the following conclusions would be correct if the outlier was removed from this set?

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The correct answer is (D)

  • Initially, the median of these numbers is 27, as there are two middle numbers of 27.
  • The range is 36 - 6 = 30. The mean is: {6+23+25+27+27+29+31+36} / {8} =25.5
  • In this set of numbers, the outlier is 6.

6 is much smaller than the rest of the numbers, which are in the 20s and 30s. If you were to remove this number, you would be left with seven numbers: 23, 25, 27, 27, 29, 31, 36. As 27 is the middle number, it is still the median. Thus, the median has stayed the same. The range is now 36 - 23 = 13. Thus, it has decreased.

This makes sense as there is now less of a difference between the smallest and the largest number. The mean is now: {23 + 25 + 27 + 27 + 29 + 31 + 36} / {7} = 28.3. Thus, the mean has increased. This is because there are fewer small numbers. The 6 pulled the original mean down and has now been removed. Therefore, the median has stayed the same and the mean has increased, so the correct answer is (D).

When dealing with questions about outliers and their impact on statistical measures, follow these steps:

Identify the outlier:
Look for a value that's significantly different from the others. In this case, 6 is the outlier as it's much smaller than the rest.
Mentally remove the outlier:
Visualize the dataset without the outlier: 23, 25, 27, 27, 29, 31, 36

Consider how this affects each statistical measure:

Range: Will the minimum or maximum change?
Mean: Will removing a very low or high value increase or decrease the average?
Median: Remember, the median only changes if you remove a middle value or if the number of values changes from odd to even (or vice versa).

Eliminate incorrect options:
Rule out answers that contradict your analysis.
Double-check your reasoning:
Make sure your conclusion aligns with the correct option.

Remember, outliers often have a significant impact on the mean and range, but less impact on the median, especially in larger datasets.
This systematic approach will help you tackle similar questions efficiently and accurately.


TEAS Math Test Preparation

Boost your TEAS Math performance with our comprehensive test prep pack! Master key concepts in Numbers, Algebra, Measurement, and Data interpretation through targeted practice questions, timed drills, and expert-designed study materials. Our pack covers essential topics like fractions, PEMDAS, word problems, and geometry, while also honing your test-taking strategies and time management skills. With daily practice exercises, anxiety-reduction techniques, and in-depth answer explanations, you'll build confidence and improve your speed.


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FAQ's

The TEAS 7 Math Test assesses your proficiency in two main areas:Numbers and Algebra: This includes topics such as arithmetic operations, fractions, decimals, percentages, and algebraic equations. Measurement and Data: This covers geometry (area, perimeter, volume), data interpretation (graphs, charts, tables), and unit conversions.


The TEAS 7 Math Test consists of 34 scored questions and 4 unscored pretest items, making a total of 38 questions. You have 57 minutes to answer the questions.


No, you should not bring a calculator to the TEAS test. A calculator will be provided for you. If you are taking the online version, a drop-down calculator is built into the exam. For the paper-pencil version, the proctor will provide a calculator.