Free TEAS 7 Math Practice Test 8 — 30 Questions With Full Explanations

Question 1. Numbers & Algebra easy

A clinic's weekly census is 240 patients, and 45% of them are covered by Medicaid. How many patients are covered by Medicaid?

• A. 108 (correct)
• B. 96
• C. 132
• D. 84

Explanation: 45% of 240 is 240 x 0.45 = 108, so 108 patients are covered by Medicaid. The option 96 comes from using 40% instead, 132 from 55%, and 84 from treating 45% as 35% of the census.

Question 2. Numbers & Algebra easy

A hospital receives 96 units of a medication shipment overnight, and a pharmacist verifies 5/12 of the units before the morning rush. How many units are verified before the rush?

• A. 40 (correct)
• B. 32
• C. 48
• D. 36

Explanation: Taking 5/12 of 96 units gives 96 x 5 / 12 = 480 / 12 = 40, so 40 units are verified before the rush. Choosing 32 uses one-third of the batch, 48 is exactly half, and 36 comes from taking 3/8 of 96 instead.

Question 3. Numbers & Algebra easy

Which list orders the decimals 0.35, 0.305, and 0.4 from smallest to largest?

• A. 0.35, 0.305, 0.4
• B. 0.4, 0.35, 0.305
• C. 0.305, 0.35, 0.4 (correct)
• D. 0.305, 0.4, 0.35

Explanation: Compare place by place: 0.305 is smallest because its hundredths digit is 0, then 0.35, and 0.4 is largest with a tenths digit of 4. Only the third list places all three decimals in that correct ascending order.

Question 4. Numbers & Algebra easy

Solve for x: 2x + 11 = 35.

• A. 10
• B. 12 (correct)
• C. 13
• D. 24

Explanation: Subtract 11 from both sides to get 2x = 24, then divide both sides by 2, giving x = 12. The option 24 is the value of 2x before dividing, 10 comes from subtracting 15 instead of 11, and 13 is 26 divided by 2.

Question 5. Numbers & Algebra easy

Evaluate: 6 x (3 + 4) - 5 x 2.

• A. 42
• B. 22
• C. 14
• D. 32 (correct)

Explanation: Work inside the parentheses first: 3 + 4 = 7, so 6 x 7 = 42; then 5 x 2 = 10; finally 42 - 10 = 32. The option 42 is the first product alone, 22 comes from multiplying left to right, and 14 subtracts 10 from 6 before multiplying.

Question 6. Numbers & Algebra medium

A supply department's monthly cost fell from $840 to $714. What was the percent decrease?

• A. 12%
• B. 15% (correct)
• C. 18%
• D. 21%

Explanation: The drop is 840 - 714 = 126. Divide by the original amount: 126 / 840 = 0.15, which equals 15%. The option 12% is about 100.8 of 840, 18% would be a 151.2 drop, and 21% corresponds to a drop of 176.4.

Question 7. Numbers & Algebra medium

A restocking shelf holds hand sanitizer gel bottles and wipe packages in a 5:3 ratio. If 45 gel bottles are used in a week, how many wipe packages are used in the same week?

• A. 25
• B. 30
• C. 27 (correct)
• D. 21

Explanation: With a 5:3 ratio, one part equals 45 / 5 = 9, so wipes total 3 x 9 = 27 packages. The option 25 is 45 minus 20, 30 treats the ratio as 3 to 2, and 21 comes from using 7 parts instead of 8 total parts.

Question 8. Numbers & Algebra medium

The two consecutive odd page numbers stamped on an open log total 88. What is the larger page number?

• A. 45 (correct)
• B. 43
• C. 47
• D. 41

Explanation: Let the odd pages be n and n + 2. Their sum is 2n + 2 = 88, so 2n = 86 and n = 43, making the larger page 45. The option 43 is the smaller page, while 41 and 47 are nearby odd numbers that cannot pair to a sum of 88.

Question 9. Numbers & Algebra medium

A grandfather is 3 times as old as his grandson, and the sum of their ages is 72. How old is the grandson?

• A. 24
• B. 27
• C. 21
• D. 18 (correct)

Explanation: Let the grandson's age be g; the grandfather is then 3g, and 3g + g = 4g = 72, so g = 18. The option 24 is a quarter of 96 rather than 72, 27 treats the pair as four groups of 27 mistakenly, and 21 comes from 72 divided by 3.4 and rounded.

Question 10. Numbers & Algebra medium

A cough syrup is mixed so that the ratio of syrup base to active ingredient is 9:1. How many milliliters of active ingredient are in 500 mL of the mixture?

• A. 45
• B. 50 (correct)
• C. 55
• D. 60

Explanation: The 9:1 ratio means the active ingredient is 1 part out of 10 total parts, so 500 / 10 = 50 mL. The option 45 treats the active part as 1 of 11 parts, 55 uses 1 part in 9, and 60 takes 12% of the total mixture.

Question 11. Numbers & Algebra medium

Three-fourths of a number is 12 more than half of the same number. What is the number?

• A. 36
• B. 24
• C. 48 (correct)
• D. 60

Explanation: Set up the equation (3/4)x = (1/2)x + 12. Subtract (1/2)x from both sides to get (1/4)x = 12, so x = 48. The option 36 is 12 times 3, 24 is half of 48, and 60 adds the 12 back instead of solving for the unknown.

Question 12. Numbers & Algebra medium

A lab result is reported as 6.25 x 10^3. What is this number in standard form?

• A. 6,250 (correct)
• B. 62,500
• C. 625
• D. 0.00625

Explanation: A positive exponent of 3 moves the decimal point three places to the right, so 6.25 x 10^3 = 6,250. The option 62,500 moves the decimal four places, 625 moves it two places, and 0.00625 moves it in the wrong direction entirely.

Question 13. Numbers & Algebra medium

Evaluate: (-9) x (-3) - 45 / 5.

• A. -18
• B. 18 (correct)
• C. 12
• D. -12

Explanation: Multiply first: (-9) x (-3) = 27. Then divide: 45 / 5 = 9. Finally subtract: 27 - 9 = 18. The option -18 treats the product as negative, 12 comes from dividing 45 by 3, and -12 makes the division negative before combining.

Question 14. Numbers & Algebra medium

A batch of 750 test tubes is inspected, and 4% are rejected. How many test tubes pass inspection?

• A. 740
• B. 700
• C. 690
• D. 720 (correct)

Explanation: If 4% are rejected, then 96% pass, and 0.96 x 750 = 720 test tubes. The option 740 is 750 minus 10, 700 mistakenly subtracts a flat 50, and 690 removes 8% instead of the stated 4%.

Question 15. Numbers & Algebra hard

A clinic bought 14 chairs and tables for a waiting room, spending $1,300. Chairs cost $70 each and tables cost $110 each. How many chairs were bought?

• A. 8
• B. 5
• C. 6 (correct)
• D. 7

Explanation: Let c be chairs and t tables: c + t = 14 and 70c + 110t = 1300. Substitute t = 14 - c to get 70c + 1540 - 110c = 1300, so 40c = 240 and c = 6. The option 8 is the number of tables, and 5 or 7 do not produce a total of $1,300.

Question 16. Numbers & Algebra hard

Nurse A can stock a supply cart in 40 minutes, and Nurse B can stock the same cart in 60 minutes. Working together, how many minutes does it take them to stock the cart?

• A. 24 (correct)
• B. 50
• C. 30
• D. 20

Explanation: Nurse A stocks 1/40 of the cart per minute and Nurse B stocks 1/60, so together they stock 1/40 + 1/60 = 3/120 + 2/120 = 5/120 = 1/24 of the cart per minute, taking 24 minutes total. The average of 50 minutes ignores the faster worker, and 20 or 30 come from wrong rate sums.

Question 17. Measurement & Data easy

A syringe holds 3.2 mL. How many microliters is that? (1 mL = 1,000 mcL)

• A. 320
• B. 32,000
• C. 0.32
• D. 3,200 (correct)

Explanation: Because 1 mL contains 1,000 microliters, multiply: 3.2 x 1,000 = 3,200 mcL. The option 320 multiplies by 100 instead, 32,000 multiplies by 10,000, and 0.32 divides by 10 as though converting to liters.

Question 18. Measurement & Data medium

Over five days, a lab processed 92, 88, 95, 90, and 85 microscope slides. What is the mean number of slides processed per day?

• A. 92
• B. 90 (correct)
• C. 88
• D. 95

Explanation: Add the five daily totals: 92 + 88 + 95 + 90 + 85 = 450, then divide by the 5 days to get a mean of 90 slides per day. The options 92 and 95 are individual daily totals, and 88 is below the computed average of the full week.

Question 19. Measurement & Data medium

Eight newborn weights in kilograms are 3.1, 2.9, 3.4, 3.0, 3.2, 3.5, 2.8, and 3.3. What is the median weight?

• A. 3.2
• B. 3.1
• C. 3.15 (correct)
• D. 3.25

Explanation: Order the eight weights: 2.8, 2.9, 3.0, 3.1, 3.2, 3.3, 3.4, 3.5. With an even count, the median is the mean of the two middle values: (3.1 + 3.2) / 2 = 3.15 kg. Options 3.1 and 3.2 are the middle values alone, and 3.25 is the midpoint of 3.2 and 3.3.

Question 20. Measurement & Data medium

Daily high temperatures this week were 61, 74, 68, 79, 70, 66, and 73 degrees F. What is the range of these temperatures?

• A. 18 (correct)
• B. 13
• C. 15
• D. 21

Explanation: The range is the highest value minus the lowest value: 79 - 61 = 18 degrees. The option 13 is the difference between 74 and 61, while 15 and 21 come from comparing the wrong pair of daily readings in the list.

Question 21. Measurement & Data medium

A procedure starts at 8:50 AM and ends at 11:05 AM. How many minutes long is the procedure?

• A. 125
• B. 145
• C. 135 (correct)
• D. 115

Explanation: From 8:50 AM to 11:05 AM is 2 hours and 15 minutes. Converting to minutes: 2 x 60 = 120, plus 15 gives 135 minutes total. The option 125 forgets the 10 minutes past the hour, 145 adds an extra hour, and 115 counts only from 9:00 AM.

Question 22. Measurement & Data medium

A cylindrical specimen jar has a radius of 4 cm and a height of 10 cm. Using 3.14 for pi, what is the volume of the jar in cubic centimeters?

• A. 125.6
• B. 251.2
• C. 1,256
• D. 502.4 (correct)

Explanation: The volume of a cylinder is pi x r^2 x h: 3.14 x 4^2 x 10 = 3.14 x 16 x 10 = 502.4 cubic centimeters. The option 125.6 uses the radius instead of r^2, 251.2 halves the height, and 1,256 uses 25 as the height factor.

Question 23. Measurement & Data medium

A clinic recorded 480 in-person visits and 320 telehealth visits in one month. What percent of the month's visits were telehealth?

• A. 33%
• B. 40% (correct)
• C. 60%
• D. 25%

Explanation: Total visits are 480 + 320 = 800, and telehealth accounts for 320 / 800 = 0.40 = 40% of them. The option 33% divides 320 by 960 instead, 60% is the in-person share, and 25% treats 320 as one-quarter of a 1,280-visit month.

Question 24. Measurement & Data hard

A drawer holds 3 green and 7 white towels. Two towels are removed at random without replacement. What is the probability that at least one of the two towels is green?

• A. 8/15 (correct)
• B. 3/5
• C. 1/2
• D. 4/9

Explanation: The chance both towels are white is 7/10 x 6/9 = 42/90 = 7/15, so the probability that at least one is green is 1 - 7/15 = 8/15. The option 3/5 is roughly the chance of one green draw, 1/2 is a guess, and 4/9 comes from squaring 2/3.

Question 25. Measurement & Data hard

A blueprint uses a scale of 1 cm = 3 m. A rectangular courtyard measures 5 cm by 4 cm on the blueprint. What is the actual perimeter of the courtyard in meters?

• A. 27
• B. 108
• C. 54 (correct)
• D. 18

Explanation: Each centimeter equals 3 meters, so the courtyard is 5 x 3 = 15 m by 4 x 3 = 12 m. The perimeter is 2 x (15 + 12) = 54 m. The option 27 is the sum of the two scaled sides, 108 is the area in square meters, and 18 is the unscaled perimeter of the drawing.

Question 26. Measurement & Data hard

The mean of four calibration readings is 18. A fifth reading of 27 is added. What is the new mean of all five readings?

• A. 18
• B. 22.5
• C. 24.75
• D. 19.8 (correct)

Explanation: The four readings sum to 4 x 18 = 72. Adding the fifth gives 72 + 27 = 99, and dividing by 5 readings gives a new mean of 19.8. The option 18 is the original mean unchanged, 22.5 is the midpoint of 18 and 27, and 24.75 divides 99 by only 4.

Question 27. Measurement & Data hard

An infusion runs at 60 mL per hour, and the drip factor is 12 drops per mL. How many drops fall per minute?

• A. 30
• B. 12 (correct)
• C. 5
• D. 720

Explanation: At 60 mL per hour with 12 drops per mL, the pump delivers 60 x 12 = 720 drops per hour. Dividing by 60 minutes gives 12 drops per minute. The option 720 is the hourly count, 30 is half the hourly volume, and 5 comes from dividing the mL rate by 12.

Question 28. Measurement & Data hard

A cylindrical storage drum has a radius of 0.5 m and a height of 1.2 m. Using 3.14 for pi, what is its total surface area including the top and bottom, in square meters?

• A. 5.34 (correct)
• B. 3.77
• C. 1.57
• D. 7.54

Explanation: Surface area of a cylinder is 2 x pi x r^2 plus 2 x pi x r x h. The two circular ends are 2 x 3.14 x 0.25 = 1.57 and the curved side is 2 x 3.14 x 0.5 x 1.2 = 3.768, summing to about 5.34 square meters. The option 3.77 is the curved side alone, 1.57 only the ends, and 7.54 uses a doubled height.

Question 29. Measurement & Data hard

A clinic's daily patient counts for one week were: 20 patients on two days, 24 patients on three days, and 30 patients on two days. What is the median daily count for the week?

• A. 20
• B. 30
• C. 25
• D. 24 (correct)

Explanation: List the seven daily counts in order: 20, 20, 24, 24, 24, 30, 30. With seven values, the median is the fourth value, which is 24. The option 20 is the lowest count, 30 the highest, and 25 is the rounded mean of 172 / 7 misread as the median.

Question 30. Measurement & Data hard

A patient's height is 5 feet 9 inches. How many centimeters is that? (1 inch = 2.54 cm, 1 foot = 12 inches)

• A. 172.7
• B. 175.3 (correct)
• C. 167.6
• D. 180.3

Explanation: Convert the height fully to inches: 5 x 12 + 9 = 69 inches. Multiply by 2.54 cm per inch: 69 x 2.54 = 175.26, which rounds to 175.3 cm. The option 172.7 is 68 inches, 167.6 is 66 inches, and 180.3 is 71 inches, each a different height.