Free TEAS 7 Math Practice Test 4 — 30 Questions With Full Explanations

Question 1. Numbers & Algebra easy

A pharmacy filled 28 prescriptions in a day, and 3/7 of them were refills. How many refills were filled?

• A. 21
• B. 16
• C. 12 (correct)
• D. 4

Explanation: Multiply the total by the fraction: 28 x 3/7 = 12 refills. The 16 option computed the 4/7 that were new prescriptions instead, the 21 option used 3/4 of the total, and the 4 option divided 28 by 7 without multiplying by the numerator.

Question 2. Numbers & Algebra easy

Round 7.458 to the nearest tenth.

• A. 7.5 (correct)
• B. 7.4
• C. 7.45
• D. 7.46

Explanation: The tenths digit is 4, and the hundredths digit is 5, which rounds the tenths digit up, so 7.458 rounds to 7.5. The 7.4 option truncated the number instead of rounding, the 7.46 option rounded to the nearest hundredth, and the 7.45 option dropped the final 8.

Question 3. Numbers & Algebra easy

What is 40% of 60?

• A. 36
• B. 24 (correct)
• C. 240
• D. 2.4

Explanation: Change 40% to 0.40 and multiply by 60: 60 x 0.40 = 24. The 2.4 option misplaced the decimal one place, the 240 option multiplied by 40 as a whole number without dividing by 100, and the 36 option computed 60% of 60 instead.

Question 4. Numbers & Algebra easy

Evaluate the expression: 4 x 3 + 12 / 4.

• A. 3
• B. 12
• C. 15 (correct)
• D. 6

Explanation: Multiplication and division come first: 4 x 3 = 12 and 12 / 4 = 3, then 12 + 3 = 15. The 6 option worked strictly left to right, the 12 option reported only the product, and the 3 option reported only the quotient.

Question 5. Numbers & Algebra medium

A recipe calls for 2/3 cup of sugar for a full batch, but only 3/4 of a batch is being made. How much sugar is needed?

• A. 5/7
• B. 1/2 (correct)
• C. 17/12
• D. 8/9

Explanation: Multiply the two fractions: 2/3 x 3/4 = 6/12 = 1/2 cup. The 17/12 option added the fractions instead, the 5/7 option added numerators and denominators, and the 8/9 option divided 2/3 by 3/4 rather than multiplying.

Question 6. Numbers & Algebra medium

A 3.75 L container of broth has 2.8 L used for soup. How many liters of broth remain?

• A. 1.05
• B. 0.95 (correct)
• C. 0.90
• D. 6.55

Explanation: Subtract the amount used from the total: 3.75 - 2.8 = 0.95 L. The 6.55 option added the amounts instead, the 1.05 option treated 2.8 as 2.7 when borrowing, and the 0.90 option dropped the trailing 5 hundredths and subtracted 2.8 from 3.7.

Question 7. Numbers & Algebra medium

An account earns 2.5% simple interest in one year on a balance of $4,800. How much interest is earned?

• A. 480
• B. 12
• C. 1200
• D. 120 (correct)

Explanation: Multiply the balance by 0.025: $4,800 x 0.025 = $120. The 12 option misplaced the decimal one place, the 1,200 option misplaced it two places, and the 480 option used 10% instead of 2.5%.

Question 8. Numbers & Algebra medium

A saline solution is mixed from 3 parts saline to 5 parts water. How many milliliters of saline are in 400 mL of the mixed solution?

• A. 240
• B. 250
• C. 133.3
• D. 150 (correct)

Explanation: The total has 8 parts, and saline is 3 of them, so saline = 400 x 3/8 = 150 mL. The 250 option answered the water volume instead, the 240 option used the 3:5 ratio directly without adding the parts, and the 133.3 option divided 400 by 3.

Question 9. Numbers & Algebra medium

Evaluate the expression: 2^4 - 3 x 5 + 7.

• A. 72
• B. 8 (correct)
• C. 15
• D. 0

Explanation: Evaluate the power first: 2^4 = 16, then 3 x 5 = 15, so 16 - 15 + 7 = 8. The 72 option worked left to right after the power, the 0 option treated 2^4 as 2 x 4 and computed 8 - 15 + 7, and the 15 option answered only the product 3 x 5.

Question 10. Numbers & Algebra medium

Solve for x: 6x - 10 = 44.

• A. 6
• B. 5.67
• C. 9 (correct)
• D. 54

Explanation: Add 10 to both sides to get 6x = 54, then divide by 6 to find x = 9. The 54 option stopped at 6x without dividing, the 5.67 option subtracted 10 from 44 instead of adding it, and the 6 option answered with the coefficient of x.

Question 11. Numbers & Algebra medium

A store buys a device for $55 and marks it up 40%. What is the selling price?

• A. 77 (correct)
• B. 22
• C. 60.5
• D. 95

Explanation: A 40% markup means the selling price is 140% of the cost: $55 x 1.40 = $77. The 22 option reported only the markup amount, the 95 option added 40 dollars to the cost as if 40 were a dollar figure, and the 60.5 option added only 10% to the cost.

Question 12. Numbers & Algebra medium

Twice a number, decreased by 5, equals 31. What is the number?

• A. 36
• B. 13
• C. 26
• D. 18 (correct)

Explanation: Let the number be n: 2n - 5 = 31, so 2n = 36 and n = 18. The 13 option subtracted 5 from 31 before doubling, the 26 option solved 31 - 5 but forgot to divide by 2, and the 36 option reported 2n instead of n.

Question 13. Numbers & Algebra medium

A number divided by 5 and then increased by 8 equals 12. What is the number?

• A. 100
• B. 20 (correct)
• C. 4
• D. 60

Explanation: Work backward: 12 - 8 = 4 is the quotient, and the original number is 4 x 5 = 20. The 4 option answered the quotient without multiplying by 5, the 100 option added 8 to 12 before multiplying by 5, and the 60 option multiplied 12 by 5 and ignored the rest.

Question 14. Numbers & Algebra hard

A number is tripled, then 9 is subtracted, and the result is 27. What is the number?

• A. 12 (correct)
• B. 9
• C. 18
• D. 6

Explanation: Work backward from the result: 27 + 9 = 36, then divide by 3 to undo the tripling: 36 / 3 = 12. The 6 option performed the operations in the forward order sign-by-sign, the 18 option added 9 back but forgot to divide by 3, and the 9 option divided 27 by 3 without adding 9 back.

Question 15. Numbers & Algebra hard

A rectangle's width is 3 cm less than its length, and its perimeter is 46 cm. What is the length of the rectangle?

• A. 10
• B. 16
• C. 11.5
• D. 13 (correct)

Explanation: If the length is L, the width is L - 3, so the perimeter is 2(L + L - 3) = 4L - 6 = 46, giving 4L = 52 and L = 13. The 10 option answered the width instead, the 11.5 option divided the perimeter by 4, and the 16 option added 3 to the width.

Question 16. Numbers & Algebra hard

A recipe that serves 6 people calls for 2.5 cups of flour. At the same ratio, how much flour is needed to serve 15 people?

• A. 6.25 (correct)
• B. 5
• C. 3.5
• D. 7.5

Explanation: Scale by the ratio of servings: 15 / 6 = 2.5, so flour is 2.5 x 2.5 = 6.25 cups. The 5 option doubled the flour for only 12 servings, the 7.5 option tripled it for 18 servings, and the 3.5 option added 1 cup instead of scaling proportionally.

Question 17. Measurement & Data easy

A tablet contains 1.25 mg of an active ingredient. How many micrograms is that? (1 mg = 1,000 mcg)

• A. 125
• B. 12.5
• C. 0.00125
• D. 1250 (correct)

Explanation: Multiply milligrams by 1,000: 1.25 x 1,000 = 1,250 mcg. The 125 option divided by 10, the 12.5 option divided by 100, and the 0.00125 option converted in the wrong direction entirely.

Question 18. Measurement & Data easy

Four deliveries took 14, 18, 12, and 16 minutes. What was the mean delivery time?

• A. 16
• B. 60
• C. 14
• D. 15 (correct)

Explanation: Add the four times (14 + 18 + 12 + 16 = 60) and divide by the count, 4, to get 15 minutes. The 14 and 16 options are individual data values, and the 60 option reported the total time without dividing by 4.

Question 19. Measurement & Data medium

A triangular garden has sides of 3.5 m, 4 m, and 6.5 m. What is its perimeter?

• A. 10
• B. 91
• C. 14 (correct)
• D. 7.5

Explanation: The perimeter is the sum of all three sides: 3.5 + 4 + 6.5 = 14 m. The 7.5 option added only two sides, the 10 option added the 3.5 and 6.5 sides and left out the middle one, and the 91 option multiplied the three side lengths together.

Question 20. Measurement & Data medium

A parallelogram has a base of 9 m and a height of 4 m. What is its area?

• A. 36 (correct)
• B. 18
• C. 72
• D. 26

Explanation: Area of a parallelogram is base times height: 9 x 4 = 36 sq m. The 26 option computed the perimeter 2 x (9 + 4) instead, the 18 option used the triangle formula and halved the product, and the 72 option doubled the area.

Question 21. Measurement & Data hard

A circular table has a radius of 1.5 m. Using 3.14 for pi, what is its circumference?

• A. 7.065
• B. 9.42 (correct)
• C. 4.71
• D. 18.84

Explanation: Circumference is 2 x pi x radius: 2 x 3.14 x 1.5 = 9.42 m. The 4.71 option used pi times radius, forgetting the factor of 2, the 7.065 option computed the area instead, and the 18.84 option used the diameter of 3 m as the radius.

Question 22. Measurement & Data medium

Six patient ages are 34, 41, 29, 36, 29, and 44. What is the median age?

• A. 36
• B. 35 (correct)
• C. 35.5
• D. 34

Explanation: Order the ages as 29, 29, 34, 36, 41, 44; with 6 values the median is the average of the 3rd and 4th, (34 + 36) / 2 = 35. The 34 and 36 options are the two middle values taken alone, and the 35.5 option is the mean instead.

Question 23. Measurement & Data medium

A clinic's daily patient visits were: Monday 10, Tuesday 14, Wednesday 6, Thursday 20, and Friday 10. What percent of the week's visits happened on Thursday?

• A. 25%
• B. 20%
• C. 33.3% (correct)
• D. 30%

Explanation: The week's total is 10 + 14 + 6 + 20 + 10 = 60 visits, and Thursday's 20 visits are 20 / 60 = 0.333, or 33.3%. The 20% option used the Thursday count as a percent directly, the 25% option used 15 of 60, and the 30% option used 18 of 60.

Question 24. Measurement & Data medium

A bag contains 3 red, 4 blue, and 3 white chips. One chip is drawn at random. What is the probability that it is NOT blue?

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

Explanation: There are 10 chips total and 6 that are not blue, so the probability is 6/10 = 3/5. The 2/5 option answered the probability of drawing blue, the 3/10 option used only the red or only the white chips, and the 1/2 option miscounted the total as 10 with only 5 non-blue chips.

Question 25. Measurement & Data hard

A shift starts at 9:15 AM and ends at 5:30 PM on the same day. How long is the shift?

• A. 8 hours 15 minutes (correct)
• B. 8 hours 5 minutes
• C. 7 hours 45 minutes
• D. 8 hours 45 minutes

Explanation: From 9:15 AM to 5:15 PM is 8 hours, plus the remaining 15 minutes to 5:30 PM, for 8 hours 15 minutes. The 8 hours 45 minutes option counted to 6:00 PM, the 7 hours 45 minutes option counted only to 5:00 PM, and the 8 hours 5 minutes option misread the start time as 9:25 AM.

Question 26. Measurement & Data medium

Five temperatures are recorded in degrees C: 22.5, 19.0, 24.5, 21.0, and 20.5. What is the range of the temperatures?

• A. 3.5
• B. 4.0
• C. 21.5
• D. 5.5 (correct)

Explanation: Range is the largest minus the smallest: 24.5 - 19.0 = 5.5 degrees. The 21.5 option is the mean of the five temperatures, the 4.0 option subtracted 20.5 from 24.5, and the 3.5 option subtracted 19.0 from 22.5.

Question 27. Measurement & Data hard

Carpet costs $3.50 per square foot. A room is 12 ft by 14 ft. What does it cost to carpet the floor of the room?

• A. 630
• B. 546
• C. 588 (correct)
• D. 182

Explanation: Find the floor area, 12 x 14 = 168 sq ft, then multiply by the price: 168 x 3.50 = $588. The 182 option multiplied the perimeter, 52 ft, by the price, the 630 option used a 15 ft width, and the 546 option used a 13 ft length.

Question 28. Measurement & Data hard

A class of 20 students averaged 80 on a quiz. Five new students join and average 95 on the same quiz. What is the new class average?

• A. 90
• B. 87.5
• C. 84
• D. 83 (correct)

Explanation: The original 20 students contributed 20 x 80 = 1,600 points and the 5 new students contributed 5 x 95 = 475, so the new average is (1,600 + 475) / 25 = 83. The 87.5 option averaged the two group means without weighting, the 84 option treated the new group as averaging 100, and the 90 option used only the new students' mean.

Question 29. Measurement & Data hard

A fair spinner has 4 equal sections numbered 1 to 4 and is spun twice. What is the probability that the two numbers add to at least 6?

• A. 3/16
• B. 5/8
• C. 13/16
• D. 3/8 (correct)

Explanation: Of the 16 equally likely outcomes, 6 have a sum of 6 or more: (2,4), (3,3), (3,4), (4,2), (4,3), and (4,4), so the probability is 6/16 = 3/8. The 3/16 option counted only sums equal to exactly 6, the 5/8 option counted sums of at least 5, and the 13/16 option subtracted the exactly-6 probability from 1.

Question 30. Measurement & Data hard

A phone plan charges $30 per month plus $0.10 per minute of calls. What is the monthly bill for 340 minutes of calls?

• A. 30.10
• B. 70
• C. 64 (correct)
• D. 34

Explanation: The per-minute charge is 0.10 x 340 = $34, and the total is $34 + $30 = $64. The 34 option reported only the minute charge and left out the monthly fee, the 30.10 option added just 10 cents for the minutes, and the 70 option used 400 minutes instead of 340.