TEAS practice test

TEAS Numbers and Algebra Practice Test

Fractions, percents, ratios, order of operations and equations, every step worked. Here are 10 TEAS numbers and algebra questions, each with the answer and the reason.

Updated 2026-11-14 by the Tigertest team. Matched to the ATI TEAS 7 blueprint and timing. Includes select-all-that-apply, fill-in and ordered-response items like the real exam; image hot spots are not modelled. Not affiliated with ATI.

1. 1.

   A nurse charts that a patient ate 3/8 of a meal. What is 3/8 written as a percent?

   • A.

     0.375%

   • B.

     37.5%

   • C.

     3.75%

   • D.

     266.7%

   Answer: B.

   Divide 3 by 8 to get 0.375, then multiply by 100 to get 37.5%. Writing 0.375% forgets to multiply by 100, and 266.7% comes from dividing 8 by 3.

2. 2.

   A patient drinks 2 1/3 cups of water in the morning and 1 3/4 cups in the afternoon. How many cups does the patient drink in total?

   • A.

     $3\frac{1}{12}$

   • B.

     $3\frac{4}{7}$

   • C.

     $4\frac{1}{12}$

   • D.

     $\frac{7}{12}$

   Answer: C.

   With a common denominator of 12, 1/3 + 3/4 = 4/12 + 9/12 = 13/12 = 1 1/12, so 2 + 1 + 1 1/12 = 4 1/12. 3 1/12 drops the whole number carried from 13/12, and 3 4/7 adds numerators and denominators straight across.

3. 3.

   A lab reports that 2.4% of a blood sample is a certain protein. What is 2.4% written as a fraction in lowest terms?

   • A.

     $\frac{6}{25}$

   • B.

     $\frac{12}{5}$

   • C.

     $\frac{3}{125}$

   • D.

     $\frac{3}{1250}$

   Answer: C.

   Percent means per 100, so 2.4% = 2.4/100 = 24/1000, and dividing both by 8 gives 3/125. 6/25 is 24%, which comes from dropping the decimal point in 2.4.

4. 4.

   A clinic saw an average of 80 patients per day last year and 92 patients per day this year. What is the percent increase?

   • A.

     12%

   • B.

     13%

   • C.

     115%

   • D.

     15%

   Answer: D.

   Percent change = (new − old) ÷ old = (92 − 80) ÷ 80 = 12 ÷ 80 = 0.15 = 15%. Dividing by the new value (12 ÷ 92 ≈ 13%) or reporting the 12-patient difference as 12% are common errors.

5. 5.

   A unit keeps a nurse-to-patient ratio of 2:9. How many nurses are needed for 45 patients?

   • A.

     5

   • B.

     10

   • C.

     38

   • D.

     202.5

   Answer: B.

   Set up 2/9 = x/45, so 9x = 90 and x = 10 nurses. 5 is only the number of groups of 9 patients, and 38 subtracts the 7-person difference instead of using a proportion.

6. 6.

   On a map, 1 inch represents 25 miles. Two towns are 3.5 inches apart on the map. What is the actual distance between them?

   • A.

     87.5 miles

   • B.

     28.5 miles

   • C.

     7.1 miles

   • D.

     0.14 miles

   Answer: A.

   Multiply the map distance by the scale: 3.5 × 25 = 87.5 miles. 28.5 adds the numbers instead of multiplying, and 7.1 divides 25 by 3.5.

7. 7.

   Solve for x in the equation x/4 + 5 = 12:

   • A.

     x = 1 3/4

   • B.

     x = 68

   • C.

     x = 28

   • D.

     x = 43

   Answer: C.

   Subtract 5 from both sides to get x/4 = 7, then multiply by 4 to get x = 28. x = 1 3/4 divides 7 by 4 instead of multiplying, and x = 68 adds 5 instead of subtracting it.

8. 8.

   Five less than twice a number is 31. What is the number?

   • A.

     18

   • B.

     13

   • C.

     20.5

   • D.

     −13

   Answer: A.

   Twice a number is 2n, and five less than that is 2n − 5, so 2n − 5 = 31, 2n = 36 and n = 18. 13 solves 2n + 5 = 31, and −13 reverses the order as 5 − 2n.

9. 9.

   What is (3.2 × 10⁵)(2.5 × 10⁻²) written in scientific notation?

   • A.

     8.0 × 10³

   • B.

     8.0 × 10⁻¹⁰

   • C.

     5.7 × 10³

   • D.

     8.0 × 10⁷

   Answer: A.

   Multiply the coefficients (3.2 × 2.5 = 8.0) and add the exponents (5 + (−2) = 3) to get 8.0 × 10³. 10⁻¹⁰ multiplies the exponents, and 5.7 adds the coefficients.

10. 10.

    A box of 100 exam gloves costs $8.50, and a box of 250 costs $19.75. Which box has the lower cost per glove?

    • A.

      100-glove box, $0.085 each

    • B.

      250-glove box, $0.79 each

    • C.

      100-glove box, $0.0085 each

    • D.

      250-glove box, $0.079 each

    Answer: D.

    Divide price by count: $8.50 ÷ 100 = $0.085 and $19.75 ÷ 250 = $0.079, so the 250-glove box is cheaper per glove. $0.79 misplaces the decimal point when dividing by 250.