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Free practice test

TEAS Math Practice Test

This is a free 15-question sampler in the style of the TEAS 7 Math section. It covers arithmetic with 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 questions, then check your score and read the explanation for every question.

Question 1 of 15TEAS 7 Math

What is 3/8 written as a decimal?

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. 1. What is 3/8 written as a decimal?

    • A. 0.3
    • B. 0.375
    • C. 0.38
    • D. 2.67
    Show answer and explanation

    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. 2. Solve for x: 3x - 7 = 14

    • A. x = 3
    • B. x = 5
    • C. x = 7
    • D. x = 21
    Show answer and explanation

    Answer: C. x = 7

    Add 7 to both sides to get 3x = 21, then divide both sides by 3 to get x = 7.

  3. 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
    Show answer and explanation

    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. 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

    Show answer and explanation

    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. 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
    Show answer and explanation

    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. 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
    Show answer and explanation

    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. 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
    Show answer and explanation

    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. 8. What is the median of the data set 3, 7, 8, 12, 15?

    • A. 7
    • B. 8
    • C. 9
    • D. 12
    Show answer and explanation

    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. 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

    Show answer and explanation

    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. 10. Solve the proportion: x/12 = 3/4

    • A. x = 8
    • B. x = 9
    • C. x = 16
    • D. x = 36
    Show answer and explanation

    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. 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
    Show answer and explanation

    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. 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
    Show answer and explanation

    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. 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
    Show answer and explanation

    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. 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

    Show answer and explanation

    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. 15. Evaluate: 2 + 3 x 4^2

    • A. 38
    • B. 50
    • C. 80
    • D. 400
    Show answer and explanation

    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.

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.

One piece of good news: 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.

How to use this sampler

The 15 questions below follow the real section's balance: a little over half cover numbers and algebra, the rest cover measurement and data. Work through them in one sitting, then read every explanation. The explanations show the setup, which is where the real learning happens.

If proportion problems slowed you down, drill ratios. If you mixed up mean and median, review statistics vocabulary. Each miss points at a content area, not just a fact. When you are done, the science, reading and English samplers linked below complete the picture across all four TEAS sections.

How StudyPDF builds full practice tests from your prep book

A sampler diagnoses; it does not train. To build real speed you need volume, and the most useful questions come from the prep book you already own.

Upload your TEAS prep book or class notes to StudyPDF and Bo, the study agent, generates full-length practice tests from your exact material. Every question is grounded in your pages, explanations cite where the answer comes from, and you can regenerate fresh tests or focus on one weak area, like fractions or unit conversions, as often as you want. Starting is free.

More free samplers

  • TEAS Science Practice Test
  • TEAS Reading Practice Test
  • TEAS English Practice Test
  • All Nursing & Health quizzes
  • Browse all free practice quizzes

Written by the StudyPDF team. Last updated 2026-08-19.

Good to know

Questions, answered.

Yes. All 15 questions, the score screen and every explanation are free. There is no paywall on this page.

Yes. The TEAS 7 provides an on-screen four-function calculator during the math section, so you never need to bring your own. Setup and method matter more than raw arithmetic.

The StudyPDF team wrote every question and explanation. 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.

Yes. Upload your TEAS prep book or class notes to StudyPDF and Bo builds full-length practice tests from your exact materials, with worked explanations for every question.

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