Free TEAS 7 Math Practice Test 5 — 30 Questions With Full Explanations

Question 1. Numbers & Algebra medium

A technician mixes 3/4 L of solution A with 5/8 L of solution B in a beaker, then pours out 1/2 L. How many liters remain in the beaker?

• A. 7/8 (correct)
• B. 1 1/8
• C. 3/4
• D. 1 3/8

Explanation: Convert to eighths: 3/4 = 6/8 and 1/2 = 4/8, so 6/8 + 5/8 - 4/8 = 7/8 L. The option 1 1/8 adds instead of subtracting the poured fluid, 3/4 ignores the poured fluid entirely, and 1 3/8 subtracts only 1/8 instead of 1/2.

Question 2. Numbers & Algebra easy

A medication order is written as 0.25 mL per kilogram of body weight. A patient weighs 64 kg. How many milliliters should be given?

• A. 15
• B. 16 (correct)
• C. 160
• D. 6.4

Explanation: Multiply the dose by the weight: 0.25 x 64 = 16 mL. The option 15 is a slip on 0.25 x 64, 160 moves the decimal one place to the right, and 6.4 multiplies 64 by 0.1 instead of 0.25.

Question 3. Numbers & Algebra medium

A jug contains 3.6 L of saline, and each small vial holds 0.15 L. How many vials can be filled completely?

• A. 2.4
• B. 240
• C. 24 (correct)
• D. 18

Explanation: Divide the total volume by the vial size: 3.6 / 0.15 = 24 vials. The option 2.4 treats 0.15 as 1.5, 240 multiplies instead of dividing, and 18 divides 3.6 by 0.2 by mistake.

Question 4. Numbers & Algebra hard

Evaluate: -4 x 6 + (-36) / 9

• A. -28 (correct)
• B. 28
• C. -20
• D. 20

Explanation: Order of operations first: -4 x 6 = -24 and (-36) / 9 = -4, then -24 + (-4) = -28. The option 28 drops both negative signs, -20 adds 4 instead of subtracting, and 20 loses every negative sign.

Question 5. Numbers & Algebra easy

A supply room has 24 blankets and 40 pillows. Which ratio of blankets to pillows is in lowest terms?

• A. 5:3
• B. 3:5 (correct)
• C. 6:10
• D. 12:20

Explanation: 24 and 40 share a greatest common factor of 8, so 24:40 reduces to 3:5. The option 5:3 reverses the order of the two quantities, while 6:10 and 12:20 are equivalent ratios that are not yet in lowest terms.

Question 6. Numbers & Algebra hard

A $120 device is marked down 15%, and then an additional 10% is taken off the reduced price. What is the final price?

• A. 90.00
• B. 102.00
• C. 91.80 (correct)
• D. 98.20

Explanation: After the first discount: 120 x 0.85 = 102. The second discount applies to that reduced price: 102 x 0.90 = 91.80. The option 90.00 subtracts 25% all at once, 102.00 stops after the first discount, and 98.20 comes from an arithmetic slip.

Question 7. Numbers & Algebra medium

Which expression is equal to 0.00045?

• A. 4.5 x 10^4
• B. 45 x 10^-4
• C. 4.5 x 10^-5
• D. 4.5 x 10^-4 (correct)

Explanation: Moving the decimal four places to the right gives 0.00045 = 4.5 x 10^-4 because the exponent counts the shift. The option 4.5 x 10^4 moves the decimal the wrong direction, 45 x 10^-4 equals 0.0045, and 4.5 x 10^-5 equals 0.000045.

Question 8. Numbers & Algebra easy

Express 17/4 as a mixed number.

• A. 4 1/4 (correct)
• B. 4 3/4
• C. 3 1/4
• D. 4 1/2

Explanation: 17 divided by 4 is 4 with a remainder of 1, so 17/4 = 4 1/4. The option 4 3/4 uses 3 as the remainder, 3 1/4 divides 17 by 5 instead of 4, and 4 1/2 misstates the fractional remainder.

Question 9. Numbers & Algebra medium

The mean of five fluid measurements is 21 mL. Four of the measurements are 18, 23, 20, and 19. What is the fifth measurement?

• A. 21
• B. 25 (correct)
• C. 24
• D. 27

Explanation: A mean of 21 over five values requires a total of 5 x 21 = 105 mL. The four known values sum to 18 + 23 + 20 + 19 = 80, so the fifth is 105 - 80 = 25 mL. The option 21 repeats the mean, 24 is one off, and 27 reverses the subtraction.

Question 10. Numbers & Algebra medium

A pharmacist fills 54 orders in the first hour, which is 30% of the day's orders. How many orders does the pharmacy fill that day?

• A. 162
• B. 16.2
• C. 180 (correct)
• D. 90

Explanation: Since 54 orders equal 30%, divide by the rate: 54 / 0.30 = 180 orders. The option 162 subtracts 30% of 60 instead, 16.2 shifts the decimal one place left, and 90 half the correct total.

Question 11. Numbers & Algebra medium

What is the value of |-9| - 4?

• A. 5 (correct)
• B. -5
• C. 13
• D. -13

Explanation: The absolute value of -9 is 9, and 9 - 4 = 5. The option -5 keeps a negative sign on the whole result, 13 adds the numbers instead of subtracting, and -13 combines both errors.

Question 12. Numbers & Algebra medium

Solve for x: x/3 + 4 = 10

• A. 42
• B. 18 (correct)
• C. 2
• D. 6

Explanation: Subtract 4 from both sides to get x/3 = 6, then multiply both sides by 3 to find x = 18. The option 42 multiplies before subtracting, 2 divides 6 by 3 again, and 6 answers for x/3 rather than x.

Question 13. Numbers & Algebra medium

A customer buys 3 notebooks at $2.25 each and a pen for $1.50, then pays with a $20 bill. How much change should the customer receive?

• A. 12.25
• B. 8.25
• C. 10.75
• D. 11.75 (correct)

Explanation: The purchase totals 3 x 2.25 + 1.50 = 8.25, so the change from a $20 bill is 20 - 8.25 = 11.75. The option 12.25 undercounts the notebooks' total, 8.25 is the purchase amount itself, and 10.75 comes from a subtraction slip.

Question 14. Numbers & Algebra medium

A courier drives 210 miles in 3.5 hours. What is the average speed in miles per hour?

• A. 70
• B. 55
• C. 60 (correct)
• D. 65

Explanation: Average speed equals distance divided by time: 210 / 3.5 = 60 miles per hour. The option 70 divides by 3 instead of 3.5, 55 subtracts 5 from the correct quotient, and 65 adds 5 to it.

Question 15. Numbers & Algebra hard

In a training class, the ratio of men to women is 5:7. There are 12 more women than men. How many men are in the class?

• A. 35
• B. 30 (correct)
• C. 42
• D. 24

Explanation: If men = m, then women = m + 12 and m/(m + 12) = 5/7, so 7m = 5m + 60 and m = 30. The option 35 confuses ratio parts with actual counts, 42 is the number of women, and 24 comes from reversing the difference.

Question 16. Numbers & Algebra medium

Which list orders 2/3, 3/4, and 5/8 from least to greatest?

• A. 5/8, 2/3, 3/4 (correct)
• B. 2/3, 3/4, 5/8
• C. 3/4, 5/8, 2/3
• D. 2/3, 5/8, 3/4

Explanation: As decimals, 5/8 = 0.625, 2/3 = 0.667, and 3/4 = 0.75, so the ascending order is 5/8, 2/3, 3/4. The other lists reverse the order or place 3/4 before 2/3 by comparing numerators alone without a common denominator.

Question 17. Measurement & Data easy

A supply crate weighs 68 ounces. How many pounds does it weigh? (16 oz = 1 lb)

• A. 4.5 lb
• B. 4.75 lb
• C. 4.25 lb (correct)
• D. 5 lb

Explanation: Divide the ounces by the conversion factor: 68 / 16 = 4.25 lb. The option 4.5 lb rounds up to the nearest half pound, 4.75 lb treats 16 oz as if it were 15, and 5 lb rounds to the nearest whole pound.

Question 18. Measurement & Data medium

A hallway measures 12 yards. How many feet is that? (1 yd = 3 ft)

• A. 24 ft
• B. 36 ft (correct)
• C. 48 ft
• D. 30 ft

Explanation: One yard equals 3 feet, so 12 yards = 12 x 3 = 36 feet. The option 24 ft multiplies by 2 instead of 3, 48 ft multiplies by 4, and 30 ft adds 18 feet on top of a misread conversion.

Question 19. Measurement & Data hard

A medicine box measures 5 cm by 4 cm by 3 cm. What is its surface area?

• A. 94 sq cm (correct)
• B. 60 sq cm
• C. 47 sq cm
• D. 120 sq cm

Explanation: Surface area = 2(lw + lh + wh) = 2(20 + 15 + 12) = 2 x 47 = 94 sq cm. The option 60 sq cm lists the volume instead, 47 sq cm forgets to double the sum of the face areas, and 120 sq cm doubles the volume.

Question 20. Measurement & Data medium

A circular tabletop has a radius of 6 m. Using 3.14 for pi, what is its area?

• A. 37.68 sq m
• B. 75.36 sq m
• C. 18.84 sq m
• D. 113.04 sq m (correct)

Explanation: Area of a circle is pi x r^2 = 3.14 x 36 = 113.04 sq m. The option 37.68 is the circumference, 75.36 uses the wrong radius in the square, and 18.84 multiplies pi by the radius alone instead of by r^2.

Question 21. Measurement & Data hard

A ward prepares 4 batches of a cleaning solution, and each batch needs 2 1/4 cups of concentrate. How many fluid ounces of concentrate are used in all? (1 cup = 8 fl oz)

• A. 18
• B. 36
• C. 72 (correct)
• D. 68

Explanation: Four batches need 2 1/4 x 4 = 9 cups of concentrate, and 9 cups x 8 fluid ounces per cup = 72 fl oz. The option 18 converts only a single batch to ounces, 36 accounts for just half the batches, and 68 comes from a slip on 9 x 8.

Question 22. Measurement & Data hard

Convert 68 degrees F to degrees C using C = 5/9(F - 32).

• A. 36
• B. 20 (correct)
• C. 15.6
• D. 17.8

Explanation: Substitute into the formula: C = 5/9 x (68 - 32) = 5/9 x 36 = 20 degrees C. The option 36 stops after subtracting inside the parentheses, 15.6 applies the fraction incorrectly, and 17.8 inverts the conversion steps.

Question 23. Measurement & Data hard

A clinic tracked blood draws over four days: Day Draws Monday 32 Tuesday 29 Wednesday 24 Thursday 27 How many more draws were taken on Monday and Tuesday combined than on Wednesday and Thursday combined?

• A. 12
• B. 8
• C. 9
• D. 10 (correct)

Explanation: Monday plus Tuesday totals 32 + 29 = 61 draws, while Wednesday plus Thursday totals 24 + 27 = 51, so the difference is 61 - 51 = 10 draws. The option 12 misreads one of the table values, and both 8 and 9 come from subtraction slips on the column totals.

Question 24. Measurement & Data medium

The table shows treatments completed in one week: Type Count X-rays 12 Lab tests 18 Therapy 30 What fraction of the week's treatments were lab tests?

• A. 3/10 (correct)
• B. 2/5
• C. 1/3
• D. 1/5

Explanation: The week's treatments total 12 + 18 + 30 = 60, and lab tests are 18 of them, so 18/60 reduces to 3/10. The option 2/5 uses 45 as the total instead of 60, 1/3 would be the lab-test share only if the total were 54, and 1/5 is the x-ray share instead.

Question 25. Measurement & Data hard

A trapezoid-shaped shelf has bases of 8 cm and 12 cm and a height of 5 cm. What is its area?

• A. 60 sq cm
• B. 100 sq cm
• C. 50 sq cm (correct)
• D. 40 sq cm

Explanation: Trapezoid area is (base1 + base2)/2 x height = (8 + 12)/2 x 5 = 10 x 5 = 50 sq cm. The option 60 uses only the longer base, 100 forgets to average the bases, and 40 uses only the shorter base.

Question 26. Measurement & Data easy

Temperatures recorded throughout the day: 7 AM 98.6 11 AM 98.8 3 PM 99.4 7 PM 99.9 By how many degrees did the temperature rise from 7 AM to 7 PM?

• A. 1.3 (correct)
• B. 0.5
• C. 1.1
• D. 0.8

Explanation: The temperature rose from 98.6 at 7 AM to 99.9 at 7 PM, a rise of 99.9 - 98.6 = 1.3 degrees. The option 0.5 is the rise from 3 PM to 7 PM, 1.1 is the rise from 11 AM to 7 PM, and 0.8 is the rise from 7 AM to 3 PM.

Question 27. Measurement & Data medium

An order calls for 750 mg of a medication. Each tablet contains 250 mg. How many tablets should be given?

• A. 4
• B. 2
• C. 1.5
• D. 3 (correct)

Explanation: Divide the ordered dose by the tablet strength: 750 / 250 = 3 tablets. The option 4 divides 750 by about 200, 2 halves the correct count, and 1.5 treats the dose as half of a tablet amount.

Question 28. Measurement & Data hard

A garden plot measures 3 1/2 m by 2 1/4 m. What is its area?

• A. 7 1/2 sq m
• B. 7 7/8 sq m (correct)
• C. 6 3/4 sq m
• D. 8 1/8 sq m

Explanation: The area is 3 1/2 x 2 1/4 = (7/2) x (9/4) = 63/8 = 7 7/8 sq m. The option 7 1/2 adds the mixed numbers instead of multiplying, 6 3/4 multiplies only the whole-number parts, and 8 1/8 rounds the numerator up.

Question 29. Measurement & Data easy

A cooler holds 3 gallons of juice. How many quarts is that? (1 gal = 4 qt)

• A. 12 qt (correct)
• B. 6 qt
• C. 8 qt
• D. 48 qt

Explanation: One gallon equals 4 quarts, so 3 gallons = 3 x 4 = 12 quarts. The option 6 qt multiplies by 2 instead of 4, 8 qt multiplies by 2.67, and 48 qt multiplies by 16 as if converting to cups.

Question 30. Measurement & Data medium

A patient's intake chart totals 2.4 L for the day, but 750 mL spilled. How many milliliters were actually taken in?

• A. 1,750 mL
• B. 1,250 mL
• C. 1,650 mL (correct)
• D. 2,350 mL

Explanation: Convert the total to milliliters: 2.4 L = 2,400 mL. Subtract the spill: 2,400 - 750 = 1,650 mL. The option 1,750 mL subtracts only 650, 1,250 mL subtracts the spilled amount twice, and 2,350 mL ignores the spill.