What is 3/8 written as a decimal?
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About this test
Here are 15 free TEAS math practice questions in the style of the TEAS 7 Math section, the version that replaced the TEAS 6 in 2022. They cover fractions, decimals and percentages, basic algebra, measurement conversions and data interpretation, mixing multiple choice, select all that apply and fill in the blank. Answer all 15, then check your score and read the explanation for every question.
All 15 questions at a glance
Prefer to read before you play? Every question in the sampler is listed below. Answers and explanations stay collapsed until you open them.
1.What is 3/8 written as a decimal?
- A. 0.3
- B. 0.375
- C. 0.38
- D. 2.67
Answer: B. 0.375
Divide the numerator by the denominator: 3 divided by 8 equals 0.375. Choice D comes from dividing 8 by 3 instead.
2.Solve for x: 3x - 7 = 14
- A. x = 3
- B. x = 5
- C. x = 7
- D. x = 21
Answer: C. x = 7
Add 7 to both sides to get 3x = 21, then divide both sides by 3 to get x = 7.
3.A patient drinks 1.5 liters of water. How many milliliters is that?
- A. 15 mL
- B. 150 mL
- C. 1,500 mL
- D. 15,000 mL
Answer: C. 1,500 mL
One liter is 1,000 milliliters, so 1.5 liters is 1.5 x 1,000 = 1,500 mL. Metric conversions move the decimal point in steps of 10, 100 or 1,000.
4.Complete the sentence.
To convert a fraction to a percent, divide the numerator by the denominator, then multiply the result by _____.
Options for blank 1: 10, 100, 1,000, the denominator
Answer: 100
Percent means per hundred. Dividing gives the decimal form, and multiplying by 100 expresses it out of 100. For example, 3/4 = 0.75, and 0.75 x 100 = 75%.
5.A backpack that normally costs $60 is on sale for 25% off. What is the sale price?
- A. $15
- B. $35
- C. $45
- D. $48
Answer: C. $45
25% of $60 is $15. Subtract the discount from the original price: $60 - $15 = $45. Choice A is the discount itself, a classic trap.
6.A recipe uses 2 cups of flour for every 3 cups of milk. How many cups of flour are needed for 9 cups of milk?
- A. 4 cups
- B. 5 cups
- C. 6 cups
- D. 7 cups
Answer: C. 6 cups
Set up the proportion 2/3 = x/9. The milk tripled from 3 to 9, so the flour triples too: 2 x 3 = 6 cups.
7.Which of the following are equivalent to 0.75?
Select all that apply.
- A. 3/4
- B. 75%
- C. 6/8
- D. 7/5
- E. 0.075
Answer: A. 3/4, B. 75%, C. 6/8
3/4 = 0.75, and 6/8 reduces to 3/4. Moving the decimal two places right gives 75%. 7/5 equals 1.4, and 0.075 is ten times too small.
8.What is the median of the data set 3, 7, 8, 12, 15?
- A. 7
- B. 8
- C. 9
- D. 12
Answer: B. 8
The median is the middle value once the numbers are in order, so it is 8. The mean of this set is 9, which is why choice C is the trap.
9.Complete the sentence.
In the metric system, one kilogram equals _____ grams, and one centimeter equals _____ millimeters.
Options for blank 1: 10, 100, 1,000, 10,000
Options for blank 2: 10, 100, 1,000, 0.1
Answer: 1,000, 10
Kilo- means one thousand, so 1 kg = 1,000 g. Centi- means one hundredth and milli- means one thousandth, so a centimeter holds 10 millimeters.
10.Solve the proportion: x/12 = 3/4
- A. x = 8
- B. x = 9
- C. x = 16
- D. x = 36
Answer: B. x = 9
Cross multiply: 4x = 36, so x = 9. You can also see that 12 is 4 x 3, so x must be 3 x 3 = 9.
11.Convert 20 degrees Celsius to Fahrenheit using F = (9/5)C + 32.
- A. 52 degrees F
- B. 68 degrees F
- C. 72 degrees F
- D. 93.6 degrees F
Answer: B. 68 degrees F
Multiply first, then add: (9/5) x 20 = 36, and 36 + 32 = 68. Adding 32 before multiplying gives the wrong answer of 93.6.
12.Which of the following statements about data displays are true?
Select all that apply.
- A. A line graph is a good way to show change over time
- B. A pie chart shows how parts relate to a whole
- C. A histogram shows the distribution of numeric data
- D. A scatterplot can only display categorical data
Answer: A. A line graph is a good way to show change over time, B. A pie chart shows how parts relate to a whole, C. A histogram shows the distribution of numeric data
Line graphs track trends over time, pie charts show parts of a whole, and histograms group numeric data into ranges. Scatterplots plot two numeric variables, not categories, so the last statement is false.
13.A nurse works three 12-hour shifts and two 8-hour shifts in one week. How many hours is that in total?
- A. 44 hours
- B. 50 hours
- C. 52 hours
- D. 56 hours
Answer: C. 52 hours
Three 12-hour shifts are 36 hours and two 8-hour shifts are 16 hours. Together that is 36 + 16 = 52 hours.
14.Complete the sentence.
On a graph, a line with a negative slope means that as x increases, y _____.
Options for blank 1: increases, decreases, stays the same, doubles
Answer: decreases
Slope is the change in y for each step in x. A negative slope falls from left to right, so y goes down as x goes up.
15.Evaluate: 2 + 3 x 4^2
- A. 38
- B. 50
- C. 80
- D. 400
Answer: B. 50
Order of operations: exponent first (4^2 = 16), then multiplication (3 x 16 = 48), then addition (2 + 48 = 50). Working left to right gives 80, the classic mistake.
TEAS math questions: what's on the TEAS 7 Math section
The Math section of the ATI TEAS 7 gives you 38 questions and 57 minutes. 34 of the questions are scored and 4 are unscored pretest questions, and you cannot tell them apart, so answer everything with the same care. That works out to about a minute and a half per question.
The scored questions split into just two content areas. Numbers and algebra is the larger one at 18 questions: operations with fractions, decimals and percentages, ratios and proportions, estimation and solving simple equations. Measurement and data covers the other 16: unit conversions within and between metric and standard systems, reading tables and graphs, and basic statistics like mean, median, mode and range.
If your study guide still says TEAS 6: ATI replaced the TEAS 6 with the TEAS 7 in June 2022, and the TEAS 6 is no longer given. The math topics barely changed, but the weighting did. The TEAS 6 had 32 scored math questions, 23 on numbers and algebra and only 9 on measurement and data. The TEAS 7 moves much of that weight to measurement and data, and it adds new question formats such as select all that apply and fill in the blank. Old TEAS 6 math questions are still good practice, just spend more time on conversions, graphs and statistics than they suggest.
The TEAS 7 provides an on-screen four-function calculator, so raw computation speed matters less than knowing which operation to set up. Most wrong answers on this section come from setting up the problem incorrectly, not from arithmetic slips.
TEAS math formulas to know
Most TEAS math questions come down to a short list of formulas and conversions. Know these cold so you spend your time on the setup, not on remembering.
Percent: part / whole x 100. Percent change: (new - old) / old x 100. A discount or tax: price x rate, then subtract or add it.
Ratios and proportions: write a/b = c/d and cross multiply, so ad = bc. This one formula solves most recipe, dosage and scale questions.
Statistics: mean = sum of the values / number of values. Median = the middle value once the list is sorted (the average of the two middle values if the count is even). Mode = the value that appears most often. Range = largest minus smallest.
Geometry: rectangle area = length x width, perimeter = 2 x (length + width). Triangle area = 1/2 x base x height. Circle area = pi x r^2, circumference = 2 x pi x r, with pi about 3.14.
Temperature: F = (9/5)C + 32 and C = (5/9)(F - 32). Slope of a line: (y2 - y1) / (x2 - x1).
Conversions: kilo = 1,000, centi = 1/100, milli = 1/1,000. 1 inch = 2.54 cm, 1 kg is about 2.2 lb, 1 foot = 12 inches, 1 yard = 3 feet, 1 cup = 8 fluid ounces, 1 pint = 2 cups, 1 quart = 2 pints, 1 gallon = 4 quarts.
Then work through the 15 questions below in one sitting and read every explanation, because the explanations show the setup. If proportion problems slowed you down, drill ratios. If you mixed up mean and median, review the statistics line above. The science, reading and English samplers linked below cover the other three TEAS sections.
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Written by the StudyPDF team. Last updated August 19, 2026.
Good to know
Is this TEAS math practice test free, and who wrote it?
Yes, all 15 questions, the score screen and every explanation are free, with no paywall on this page. The StudyPDF team wrote every question. They follow the style and topic mix of the TEAS 7 Math section, but they are not real exam questions and StudyPDF is not affiliated with ATI.
How hard is the math on the TEAS?
It is roughly middle school and early high school math: fractions, percentages, ratios, simple equations, unit conversions, graphs and basic statistics. There is no trigonometry or advanced algebra, and an on-screen four-function calculator is provided. What makes it hard is the pace, about 90 seconds a question, and word problems that hide a simple setup.
What math formulas are important for the TEAS?
Percent (part / whole x 100) and percent change, cross multiplying a proportion, mean, median, mode and range, area and perimeter of rectangles, triangles and circles, the Celsius and Fahrenheit formulas, and metric and standard unit conversions. The formula list above has all of them in one place.
Are TEAS 6 math questions still useful for the TEAS 7?
Mostly, yes. The TEAS 7 replaced the TEAS 6 in 2022 and covers the same kinds of math, but it puts much more weight on measurement and data, 16 of 34 scored questions instead of 9 of 32, and adds formats like select all that apply. Use TEAS 6 material for algebra and arithmetic, and add extra practice on conversions, graphs and statistics.
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