## 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. 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?

A. 732
B. 660
C. 435
D. 380

The correct answer is (D) – 380.

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

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.

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.

💡Tip for students
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.
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

A. 40/63​
B. 63/40
C. 17/6
D. 288/35

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.

💡Tip for students
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 ?

A. 11/432
B. 11/232
C. 35/432
D. 35/232

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.

💡Tip for students:

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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The next number question asks you to show that you understand what each number represents.

Question #4 - Rounding

Which of these values is correctly rounded to the hundredth place?

A. 3,100
B. 0.40
C. 4.2600
D. 9.7

The correct answer is indeed (B) 0.40. Let's examine why:

• A. 3,100 - This is a whole number with no decimal places, so it's not rounded to the hundredths place.
• B. 0.40 - This is correctly rounded to the hundredths place. The hundredths place is the second digit after the decimal point, which in this case is 4. The zero after it indicates that it's been rounded to this place.
• C. 4.2600 - While this number does show the hundredths place (26), it includes additional decimal places (thousandths and ten-thousandths), so it's not correctly rounded to just the hundredths.
• D. 9.7 - This number is rounded to the tenths place (the first digit after the decimal point), not the hundredths place.

Only 0.40 correctly shows a number rounded to exactly the hundredths place.

💡Tip for students:
• 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.

### 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.

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.)

A. 30.3%
B. 43.3%
C. 25.0%
D. 29.0%

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.

💡Tip for students:
• 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.

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?

A. There is a negative covariance between US women's waist sizes and year.
B. If these two variables were graphed, waist size would go on the x axis.
C. As the year increases, women's waist sizes also increase.
D. If these two variables were graphed, the slope of the line between any two points would be negative.

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).

💡Tip for students:

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.

Can you convert measurements? This question will test that knowledge:

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?

A. 500mg
B. 25.5mg
C. 50mg
D. 0.5mg

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.

💡Tip for students:

When solving problems that involve converting between different units of measurement and finding proportions:

• Identify all units: Carefully note the units given in the question and those required in the answer. Pay special attention to prefixes like micro-, milli-, etc.
• Create a conversion chart: If necessary, write down the relationships between units (e.g., 1 mg = 1000 μg) to avoid mistakes.
• Standardize units: Convert all measurements to the same unit before calculations. This often means converting to the units used in the answer choices.
• Use proportions: Set up a proportion to relate the given information to what you need to find. This often looks like: (known amount) / (known volume) = (unknown amount) / (desired volume)

## 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

What is tested on the TEAS 7 Math Test?

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.

How many questions are on the TEAS 7 Math Test?

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.

Can I bring a calculator to the TEAS test?

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.

Do I Need to Memorize Formulas for the TEAS Math?

You do not need to memorize complex formulas for the TEAS test. However, you should understand basic math operations like addition, subtraction, multiplication, division, fractions, decimals, percentages, and basic geometry.

For example, being able to add numbers, work with fractions, and calculate percentages is important.

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