Free TEAS 7 Math Practice Test 9 — 30 Questions With Full Explanations

Question 1. Numbers & Algebra easy

A child is prescribed 300 mg of amoxicillin suspension. The bottle is labeled 250 mg per 5 mL. How many mL should be given?

• A. 5
• B. 7.5
• C. 8
• D. 6 (correct)

Explanation: 250 mg per 5 mL is 50 mg per mL. A 300 mg dose needs 300 / 50 = 6 mL. 5 mL is the volume for 250 mg; 7.5 mL uses a 40 mg/mL rate; 8 mL uses 37.5 mg/mL.

Question 2. Numbers & Algebra easy

A pharmacy technician works 7.5 hours at $16.00 per hour. What is the gross pay for that day?

• A. $120.00 (correct)
• B. $112.50
• C. $128.00
• D. $105.00

Explanation: Gross pay is hours multiplied by the hourly rate: 7.5 x 16 = $120.00. $112.50 multiplies 7.5 by 15; $128.00 uses 8 hours; $105.00 uses 7.5 hours at $14.00 per hour.

Question 3. Numbers & Algebra easy

A pair of crutches sells for $48.00 before a 5% sales tax. What is the total cost including tax?

• A. $52.80
• B. $48.24
• C. $50.40 (correct)
• D. $50.00

Explanation: Sales tax is 5% of the pretax price: 0.05 x 48 = $2.40, so the total is 48 + 2.40 = $50.40. $52.80 applies a 10% tax; $48.24 applies 0.5%; $50.00 simply skips the tax cents.

Question 4. Numbers & Algebra medium

A lab aide works 40 hours at $18.00 per hour plus 6 hours of overtime at time and a half. What is the total pay for the week?

• A. $828.00
• B. $882.00 (correct)
• C. $864.00
• D. $810.00

Explanation: Straight pay is 40 x 18 = $720. Overtime pays 1.5 x 18 = $27 per hour, so 6 hours add 6 x 27 = $162; the total is 720 + 162 = $882.00. $828.00 pays all 46 hours at the straight rate; $864.00 uses 48 hours; $810.00 uses 45 hours.

Question 5. Numbers & Algebra medium

A delivery van averages 27 miles per gallon. A route is 216 miles, and gasoline costs $3.40 per gallon. What does the fuel for the route cost?

• A. $28.80
• B. $27.20 (correct)
• C. $30.60
• D. $26.40

Explanation: The route uses 216 / 27 = 8 gallons. At $3.40 per gallon the fuel costs 8 x 3.40 = $27.20. $28.80 uses $3.60 per gallon; $30.60 uses 9 gallons; $26.40 uses $3.30 per gallon.

Question 6. Numbers & Algebra medium

A chili recipe uses 1.5 lb of ground beef to serve 4 people. How many pounds of ground beef would serve 12 people at the same ratio?

• A. 4 lb
• B. 5 lb
• C. 3.5 lb
• D. 4.5 lb (correct)

Explanation: Twelve servings are 3 times the 4-serving batch, so the beef scales by a factor of 3: 1.5 x 3 = 4.5 lb. 4 lb and 5 lb are rounding slips, and 3.5 lb scales the recipe for only about 9 to 10 servings.

Question 7. Numbers & Algebra medium

A certificate of deposit earns 2.8% simple interest per year. How much interest does $2,500 earn in 3 years?

• A. $210.00 (correct)
• B. $70.00
• C. $225.00
• D. $105.00

Explanation: Simple interest is principal x rate x time: 2,500 x 0.028 x 3 = $210.00. $70.00 is only one year's interest; $225.00 uses a 3% rate; $105.00 uses 1.5 years instead of 3.

Question 8. Numbers & Algebra medium

A medical equipment salesperson earns a 4% commission on sales. One week's sales total $6,750. What is the commission for that week?

• A. $202.50
• B. $337.50
• C. $270.00 (correct)
• D. $135.00

Explanation: The commission is 4% of 6,750: 0.04 x 6,750 = $270.00. $202.50 uses a 3% rate; $337.50 uses 5%; $135.00 uses 2% of the same sales total.

Question 9. Numbers & Algebra medium

A reference lab charges $38.00 per sample plus a flat $140.00 stat fee per order. A clinic's stat order bill comes to $1,128.00. How many samples were tested?

• A. 30
• B. 28
• C. 24
• D. 26 (correct)

Explanation: Subtract the flat fee first: 1,128 - 140 = 988, then divide by the per-sample charge: 988 / 38 = 26 samples. 30 forgets to subtract the fee; 28 and 24 come from division slips.

Question 10. Numbers & Algebra medium

A medical device is priced at $240 US dollars. If 1 US dollar buys 1.35 Canadian dollars, what is the price in Canadian dollars?

• A. $324.00 (correct)
• B. $300.00
• C. $336.00
• D. $312.00

Explanation: Each US dollar converts to 1.35 Canadian dollars, so 240 x 1.35 = $324.00 CAD. $300.00 uses a 1.25 rate; $336.00 uses 1.4; $312.00 uses 1.3 instead of the 1.35 rate given.

Question 11. Numbers & Algebra medium

A service elevator has a capacity of 1,400 lb. A cart weighs 320 lb, and each supply box weighs 35 lb. At most how many boxes can be loaded onto the cart?

• A. 31
• B. 29
• C. 30 (correct)
• D. 28

Explanation: Weight available after the cart is 1,400 - 320 = 1,080 lb. Divide by 35: 1,080 / 35 = 30.86, so at most 30 boxes. 31 would exceed the limit because 31 x 35 = 1,085 lb; 29 and 28 are one and two boxes short.

Question 12. Numbers & Algebra hard

In 8 years, a patient's son will be 3 times as old as he was 4 years ago. How old is the son now?

• A. 12
• B. 10 (correct)
• C. 8
• D. 14

Explanation: Let s be the son's age now. In 8 years: s + 8; 4 years ago: s - 4. The equation s + 8 = 3(s - 4) gives s + 8 = 3s - 12, so 2s = 20 and s = 10. Check: 18 = 3 x 6.

Question 13. Numbers & Algebra hard

The perimeter of a rectangular storage room is 54 m, and its length is 15 m. What is the width?

• A. 24 m
• B. 10 m
• C. 14 m
• D. 12 m (correct)

Explanation: Substitute into P = 2l + 2w: 54 = 2(15) + 2w = 30 + 2w, so 2w = 24 and w = 12 m. 24 m finds 2w but forgets to divide by 2; 10 m and 14 m come from misreading the length.

Question 14. Numbers & Algebra hard

Evaluate: sqrt(144) + sqrt(81).

• A. 15
• B. 21 (correct)
• C. 12
• D. 9

Explanation: sqrt(144) = 12 and sqrt(81) = 9, so the sum is 12 + 9 = 21. 15 adds the numbers under the roots first (144 + 81 = 225, sqrt = 15), which is a classic error: roots do not distribute over addition. 12 and 9 use only one root.

Question 15. Numbers & Algebra hard

A courier service charges $19.00 for a large parcel and $11.00 for a small parcel. One day it shipped 40 parcels and collected $560.00. How many were large parcels?

• A. 15 (correct)
• B. 18
• C. 12
• D. 20

Explanation: Let a be the number of large parcels: 19a + 11(40 - a) = 560, so 19a + 440 - 11a = 560, giving 8a = 120 and a = 15. Check: 15 x 19 + 25 x 11 = 285 + 275 = $560.

Question 16. Numbers & Algebra hard

A hiker covers the first 6 miles in 2 hours and the remaining 4 miles in 3 hours. What is the average speed for the whole hike in miles per hour?

• A. 2.2
• B. 2.5
• C. 2 (correct)
• D. 1.5

Explanation: Total distance is 6 + 4 = 10 miles over 2 + 3 = 5 hours, so average speed is 10 / 5 = 2 mph. 2.2 averages the two segment speeds (3 mph and 1.33 mph) without weighting them by the time spent, which overstates the result.

Question 17. Measurement & Data easy

A delivery bin holds 2.5 tons of gravel. How many pounds of gravel is that? (1 ton = 2,000 lb)

• A. 2,500 lb
• B. 2,000 lb
• C. 4,000 lb
• D. 5,000 lb (correct)

Explanation: One ton equals 2,000 pounds, so 2.5 tons = 2.5 x 2,000 = 5,000 lb. 2,500 lb uses 1,000 lb per ton; 2,000 lb uses one ton; 4,000 lb uses two tons instead of 2.5.

Question 18. Measurement & Data easy

A pedometer logged daily steps: Monday 5,200; Tuesday 6,400; Wednesday 5,200; Thursday 7,100; Friday 5,200. What is the mode of these step counts?

• A. 5,820
• B. 6,400
• C. 5,200 (correct)
• D. 7,100

Explanation: The mode is the value that appears most often. 5,200 appears on Monday, Wednesday, and Friday - three times - while every other value appears once. 5,820 is the mean of the five counts, not the mode.

Question 19. Measurement & Data easy

A courier departs at 2:15 PM and arrives at 6:05 PM. How many minutes does the trip take?

• A. 230 (correct)
• B. 210
• C. 240
• D. 250

Explanation: From 2:15 PM to 6:05 PM is 3 hours and 50 minutes, which is 3 x 60 + 50 = 230 minutes. 240 counts a full 4 hours; 210 counts 3.5 hours; 250 adds an extra 10 minutes past the arrival time.

Question 20. Measurement & Data medium

A rectangular storeroom floor measures 4.2 m by 3.0 m. It is to be tiled with square tiles that are 0.6 m on each side. How many tiles are needed if none are cut?

• A. 30
• B. 35 (correct)
• C. 42
• D. 28

Explanation: Along the 4.2 m side: 4.2 / 0.6 = 7 tiles; along the 3.0 m side: 3.0 / 0.6 = 5 tiles. Total tiles = 7 x 5 = 35. 30 and 42 come from mis-splitting one dimension, and 28 undercounts a full row of tiles.

Question 21. Measurement & Data medium

A fence 96 ft long is built with a post every 8 ft, including a post at each end. How many posts are needed?

• A. 12
• B. 11
• C. 14
• D. 13 (correct)

Explanation: The fence is divided into 96 / 8 = 12 equal gaps, and a post stands at both ends, so the number of posts is 12 gaps + 1 = 13. 12 counts only the gaps and leaves out the end post, the classic off-by-one error.

Question 22. Measurement & Data medium

A rain barrel is a cylinder with a diameter of 2 ft and a height of 3 ft. Using 3.14 for pi, what is its volume in cubic feet?

• A. 18.84
• B. 12.56
• C. 9.42 (correct)
• D. 6.28

Explanation: A 2 ft diameter means a 1 ft radius, so V = pi x r^2 x h = 3.14 x 1 x 3 = 9.42 cubic feet. 18.84 is the lateral surface area 2 x pi x r x h; 12.56 uses the diameter as the radius; 6.28 is the circumference 2 x pi x r.

Question 23. Measurement & Data medium

A bag holds 4 red and 6 blue chips. A chip is drawn, its color is noted, and it is returned. Then a second chip is drawn. What is the probability that both chips are blue?

• A. 36% (correct)
• B. 33%
• C. 60%
• D. 25%

Explanation: Because the first chip is replaced, both draws use all 10 chips: P(blue twice) = (6/10) x (6/10) = 0.36 = 36%. 33% is the without-replacement result (6/10 x 5/9); 60% is a single draw; 25% squares a one-half probability.

Question 24. Measurement & Data medium

The table shows a unit's rooms by number of patients: 3 rooms with 1 patient, 5 rooms with 2 patients, and 2 rooms with 3 patients. What is the mean number of patients per room?

• A. 2.0
• B. 1.9 (correct)
• C. 1.8
• D. 2.1

Explanation: Total patients: 3 x 1 + 5 x 2 + 2 x 3 = 3 + 10 + 6 = 19, spread across 3 + 5 + 2 = 10 rooms, so the mean is 19 / 10 = 1.9 patients per room. 2.0 grabs the middle room size instead of computing the mean.

Question 25. Measurement & Data medium

A pie chart shows a clinic's monthly budget categories. The supplies slice is 25% of the whole chart. How many degrees is the supplies slice?

• A. 90 degrees (correct)
• B. 72 degrees
• C. 120 degrees
• D. 45 degrees

Explanation: A full circle is 360 degrees, and the slice is 25% of it: 0.25 x 360 = 90 degrees. 72 degrees comes from 20%; 120 degrees from one-third; 45 degrees from 12.5% - each a different misplaced percent.

Question 26. Measurement & Data medium

A blueprint uses a scale of 1/4 inch = 1 foot. A wall measures 8 inches on the blueprint. How long is the actual wall in feet?

• A. 16 ft
• B. 32 ft (correct)
• C. 24 ft
• D. 20 ft

Explanation: At a scale of 1/4 inch = 1 foot, each full inch on the plan represents 4 feet, so 8 inches equals 8 x 4 = 32 ft. 16 ft uses 2 ft per inch; 24 ft uses 3 ft per inch; 20 ft is a scaling slip.

Question 27. Measurement & Data hard

A rectangular patio is 12 ft by 8 ft. A semicircular step with a diameter of 8 ft is attached to one of the 8-ft sides. Using 3.14 for pi, what is the total area in square feet?

• A. 146.24
• B. 108.56
• C. 121.12 (correct)
• D. 128

Explanation: Patio area is 12 x 8 = 96 sq ft. The semicircle has radius 4 ft: (3.14 x 16) / 2 = 25.12 sq ft. Total = 96 + 25.12 = 121.12 sq ft. 146.24 adds a full circle; 108.56 adds a quarter circle; 128 treats the step as a triangle 8 x 8 / 2.

Question 28. Measurement & Data hard

Lab group A has 12 samples with a mean of 25, and group B has 8 samples with a mean of 40. What is the combined mean of all 20 samples?

• A. 32.5
• B. 33
• C. 35
• D. 31 (correct)

Explanation: Group A totals 12 x 25 = 300 and group B totals 8 x 40 = 320, so the combined mean is (300 + 320) / 20 = 620 / 20 = 31. 32.5 simply averages 25 and 40 and ignores the different group sizes; 33 and 35 come from miscounting a group total.

Question 29. Measurement & Data hard

A single standard die is rolled two times, and the two numbers are added together. What is the probability that the sum is greater than 8?

• A. 5/12
• B. 1/6
• C. 5/18 (correct)
• D. 1/4

Explanation: Of the 36 equally likely outcomes, the pairs with a sum above 8 are (3,6), (4,5), (4,6), (5,4), (5,5), (5,6), (6,3), (6,4), (6,5), and (6,6) - 10 pairs - so the probability is 10/36 = 5/18. 5/12 counts sums of 8 or more; 1/6 is the chance of a sum of exactly 7.

Question 30. Measurement & Data hard

A medication vial is shaped like a cylinder with a radius of 2 cm and a height of 3 cm. Using 3.14 for pi, what is the capacity of the vial in milliliters? (1 cu cm = 1 mL)

• A. 37.68 (correct)
• B. 75.36
• C. 25.12
• D. 113.04

Explanation: Cylinder volume is pi x r^2 x h = 3.14 x 4 x 3 = 37.68 cu cm, and 1 cu cm equals 1 mL, so the vial holds 37.68 mL. 75.36 doubles the volume; 25.12 uses a height of 2 cm; 113.04 swaps the radius and height in the formula.