TEAS Math Flashcards

    TEAS Math Flashcards: Free Practice Set with Step-by-Step Answers

    Practice TEAS Math flashcards covering arithmetic, algebra, ratios, percentages, measurement, and data with worked step-by-step answers.

    Last updated · Reviewed by TEAS Academy
    Estimate before calculating
    Track units through every step
    Memorize formulas by using them

    What this guide covers

    This TEAS Academy resource focuses on choosing a method quickly and showing each calculation clearly. It is original study content built for TEAS 7 preparation; it is not an official ATI product and does not copy Quizlet decks, commercial books, or secure exam questions.

    Use it with the Math question bank and Math study hub. Those pages provide the broader subject context and additional indexed explanations needed to turn a quick review into measurable practice.

    Free practice questions with answers

    1. A nursing supervisor is reviewing the hourly shift differentials for a group of eight registered nurses. The data set is as follows: \n\n$12.50, $15.75, $11.00, $21.50, $9.00, $14.25, $18.00, $20.25\n\nWhat is the range of the hourly shift differentials for this group of nurses?
    1. $5.50/hour
    2. $18.00/hour
    3. $12.50/hour
    4. $14.25/hour

    Answer: C. $12.50/hour

    Learn how to calculate the statistical range by subtracting the minimum value from the maximum value in a data set.

    2. Which of the following is the result of three-eighths plus one-eighth minus one-fourth?
    1. 0.375
    2. 0.625
    3. 0.750
    4. 0.125

    Answer: A. 0.375

    To solve, add the first two fractions and subtract the third using a common denominator, then convert the remaining fraction to a decimal.

    3. Which of the following sets of numbers is ordered correctly from least to greatest?
    1. 0.4, 3/7, 0.44, 4/9
    2. 3/7, 0.4, 4/9, 0.44
    3. 0.4, 4/9, 3/7, 0.44
    4. 0.4, 3/7, 4/9, 0.44

    Answer: D. 0.4, 3/7, 4/9, 0.44

    Compare these values by converting fractions to decimals: 0.4, 3/7 (0.428), 0.44, and 4/9 (0.444). Choice D is the correct ascending order.

    4. A nurse tracks the number of patients admitted to the emergency room each day over a one-week period. The data recorded are: 24, 33, 18, 51, 30, 29, 21. What is the median of this data set?
    1. 24
    2. 29
    3. 30
    4. 33

    Answer: B. 29

    To find the median, arrange the numbers in order (18, 21, 24, 29, 30, 33, 51) and identify the middle value, which is 29.

    5. A hospital nurse-to-patient ratio is stated as 24:36. Which of the following represents this ratio in its simplest fractional form?
    1. 5/6
    2. 6/5
    3. 2/3
    4. 3/2

    Answer: C. 2/3

    To convert the ratio 24:36 to a fraction, write it as 24/36 and simplify by dividing by the greatest common factor (12) to get 2/3.

    6. Which of the following lists the values below in order from least to greatest? 0, -1/2, -8, 0.75, -0.4
    1. -8, -1/2, -0.4, 0, 0.75
    2. -8, -0.4, -1/2, 0, 0.75
    3. 0.75, 0, -0.4, -1/2, -8
    4. -0.4, -1/2, -8, 0, 0.75

    Answer: A. -8, -1/2, -0.4, 0, 0.75

    To order rational numbers, convert fractions to decimals and arrange them from the most negative value to the most positive value.

    7. A catering recipe for chicken stir-fry requires 12 ounces of sliced bell peppers for every 10 servings. If a chef has a bulk bag containing 100 ounces of bell peppers, how many servings can be prepared? (Round the final answer to the nearest whole number.)
    1. 67 servings
    2. 83 servings
    3. 98 servings
    4. 104 servings

    Answer: B. 83 servings

    Learn to solve proportions for the TEAS 7 math section by calculating servings based on a fixed ounce-to-serving ratio.

    8. Which of the following values is the greatest?
    1. 2.65
    2. ⁸⁄₃
    3. 2.607
    4. ¹³/₅

    Answer: B. ⁸⁄₃

    To find the greatest value, convert all fractions to decimals: 2.65, 2.667, 2.607, and 2.6. Comparing hundredths shows 2.667 (8/3) is the largest.

    9. A researcher is conducting a study to determine how the amount of daily protein intake affects the muscle mass growth in athletes over a six-month period. In this study, the measured muscle mass is considered which type of variable?
    1. Control variable
    2. Dependent variable
    3. Independent variable
    4. Qualitative variable

    Answer: B. Dependent variable

    Muscle mass is the dependent variable because it is the outcome being measured, which 'depends' on the amount of protein consumed (the independent variable).

    10. Simplify the following algebraic expression: \n\n-6(x² + 6x - 4)
    1. -6x² - 36x + 24
    2. -6x² - 20x + 24
    3. -6x² - 36x + 10
    4. 6x² + 36x - 24

    Answer: A. -6x² - 36x + 24

    Simplify -6(x² + 6x - 4) by distributing -6 to each term, resulting in -6x² - 36x + 24. Pay close attention to negative sign multiplication rules.

    11. A medical researcher notes that 8% of the participants in a study of 269 individuals reported a specific side effect. Which of the following values represents the exact number of participants who experienced the side effect?
    1. 2.152
    2. 21.52
    3. 215.20
    4. 538.00

    Answer: B. 21.52

    To find 8% of 269, convert 8% to the decimal 0.08 and multiply: 269 x 0.08 = 21.52.

    12. A yardstick (3 feet tall) is held vertically and casts a shadow that is 4 feet long. At the exact same time, a flagpole nearby casts a shadow that is 27 feet long. How tall is the flagpole?
    1. 12.0 feet
    2. 20.25 feet
    3. 28.0 feet
    4. 30.5 feet

    Answer: B. 20.25 feet

    Calculate the height of a flagpole using proportional reasoning by comparing its shadow to the shadow of a yardstick. Correct answer: 20.25 feet.

    How to put this into practice

    1. Solve each card on paper before viewing the answer.
    2. Compare your setup—not only the final number—with the explanation.
    3. Practice ten related items in the Math bank.

    Keep a short error log with the topic, why your first choice failed, and the rule or evidence supporting the correct response. That process is more useful than repeatedly rereading answers.

    Frequently Asked Questions

    Sources & references

    This page is maintained by the TEASAcademy Editorial Team — ATI TEAS 7 prep specialists. Content reviewed against the current ATI TEAS specification.

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