TEAS Numbers and Algebra practice questions

Fractions, decimals and percents, ratios and proportions, equations and word problems. Numbers and Algebra is 18 of the 34 scored questions in TEAS Mathematics.

scored questions

18

of Math's score

53%

for all of Math

57 min

1. 01Math · Numbers and AlgebraA technician uses 12.5% of a reagent bottle that holds 1 3/5 liters. How many liters of reagent does the technician use?+−

   • A. 1/50 L
   • B. 2/5 L
   • C. 1/5 L (correct)
   • D. 4/5 L

   12.5% = 0.125 and 1 3/5 = 1.6, so 0.125 × 1.6 = 0.2 L, which is 1/5 L. 1/50 L results from misplacing the decimal point.

2. 02Math · Numbers and AlgebraA bottle of vitamins that regularly costs $25.00 is on sale for $19.00. What is the percent discount?+−

   • A. 6%
   • B. 19%
   • C. 31.6%
   • D. 24% (correct)

   The discount is $6.00, and 6 ÷ 25 = 0.24, or 24%. The 31.6% option wrongly divides the savings by the sale price instead of the original price.

3. 03Math · Numbers and AlgebraA liquid medication contains 15 mg of drug in every 4 mL. How many milliliters of the liquid contain 0.9 g of the drug?+−

   • A. 24 mL
   • B. 240 mL (correct)
   • C. 2,400 mL
   • D. 3.75 mL

   0.9 g = 900 mg, and 900 ÷ 15 = 60 groups of 15 mg, so 60 × 4 mL = 240 mL. Using 0.9 mg instead of 900 mg would give a much smaller wrong volume.

4. 04Math · Numbers and AlgebraWhich of the following values are greater than 0.6 and less than 2/3? Select all that apply.+−

   • A. 59%
   • B. 5/8 (correct)
   • C. 0.66 (correct)
   • D. 0.67
   • E. 13/20 (correct)
   • F. 3/5

   As decimals, 5/8 = 0.625, 0.66, and 13/20 = 0.65 all lie between 0.6 and 0.6667. The value 0.67 is slightly larger than 2/3, while 59% and 3/5 are at or below 0.6.

5. 05Math · Numbers and AlgebraA clinic has $500 to spend on patient-education kits. Each kit costs $18, and there is a one-time $65 setup fee. What is the greatest number of kits the clinic can buy?+−

   • A. 25
   • B. 27
   • C. 24 (correct)
   • D. 28

   The inequality is 18k + 65 ≤ 500, so 18k ≤ 435 and k ≤ 24.17, meaning at most 24 whole kits. Ignoring the fee gives 27, and rounding 24.17 up to 25 would exceed the budget.

6. 06Math · Numbers and AlgebraEvaluate 18 − 4 × (6 − 2)² ÷ 8.+−

   • A. 10 (correct)
   • B. 14
   • C. 28
   • D. 2

   Parentheses give 4, the exponent gives 16, then 4 × 16 ÷ 8 = 8 and 18 − 8 = 10. Subtracting 4 from 18 before multiplying would give 28.

7. 07Math · Numbers and AlgebraSolve for x: −(2/3)x + 4 = 10+−

   • A. −9 (correct)
   • B. −4
   • C. 4
   • D. 9

   Subtract 4 to get −(2/3)x = 6, then multiply both sides by −3/2 to get x = −9. Choosing 9 loses the negative sign.

8. 08Math · Numbers and AlgebraEvaluate (3/4)(2.4) + 12.5% of 16. Type your answer as a decimal.+−

   Answer: 3.8

   Three-fourths of 2.4 is 1.8, and 12.5% of 16 is 0.125 × 16 = 2. The sum is 1.8 + 2 = 3.8.

9. 09Math · Numbers and AlgebraA prescriber orders 0.15 mg/kg of a medication. The patient weighs 154 lb (1 kg = 2.2 lb), and the medication is supplied as 5 mg/mL. How many milliliters should be given?+−

   Answer: 2.1 mL

   154 lb ÷ 2.2 = 70 kg; 70 kg × 0.15 mg/kg = 10.5 mg; 10.5 mg ÷ 5 mg/mL = 2.1 mL.

10. 10Math · Numbers and AlgebraThree clerks together complete 18 patient intake forms in 45 minutes. Every clerk works at the same constant rate. At that rate, how many minutes will 5 clerks need to complete 40 forms?+−

    • A. 60 (correct)
    • B. 27
    • C. 75
    • D. 100

    Each clerk completes 18 ÷ (3 × 45) = 2/15 form per minute, so 5 clerks complete 2/3 form per minute. Then 40 ÷ (2/3) = 60 minutes. 100 minutes ignores the change in the number of clerks.

Keep practicing

Sources

1. ATI: ATI TEAS exam details (sections, questions, sub-areas)

Updated November 6, 2026