on a highway map the scale indicates that 1 inch represents 45 miles if the distance on the map is 32 inches how far is the actual distance in miles

ATI TEAS 7

TEAS Test Practice Math

1. On a highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance in miles?

A. 144 miles
B. 160 miles
C. 180 miles
D. 200 miles

Correct answer: A

Rationale: To find the actual distance in miles, you need to set up a proportion using the scale provided (1 inch = 45 miles). Since the distance on the map is 3.2 inches, you can set up the proportion: 1 inch / 45 miles = 3.2 inches / x miles. Cross-multiply to solve for x: 1 * x = 45 * 3.2, x = 144. Therefore, the actual distance in miles is 144. Choices B, C, and D are incorrect because they do not accurately calculate the actual distance using the scale provided.

2. What is the percentage equivalent of 0.0016?

A. 16%
B. 160%
C. 1.60%
D. 0.16%

Correct answer: D

Rationale: To convert a decimal to a percentage, you multiply by 100. Therefore, to find the percentage equivalent of 0.0016, you would multiply 0.0016 by 100 to get 0.16%. This means that choice D, '0.16%', is the correct answer. Choices A, B, and C are incorrect because they do not correctly represent the percentage equivalent of 0.0016.

3. A sandwich shop earns $4 for every sandwich (s) it sells, $2 for every drink (d), and $1 for every cookie (c). If this is all the shop sells, which of the following equations represents what the shop’s revenue (r) is over three days?

A. r = 4s + 2d + 1c
B. r = 8s + 4d + 2c
C. r = 12s + 6d + 3c
D. r = 16s + 8d + 4c

Correct answer: A

Rationale: Let s be the number of sandwiches sold. Each sandwich earns $4, so selling s sandwiches at $4 each results in revenue of $4s. Similarly, d drinks at $2 each give $2d of income, and cookies bring in $1c. Summing these values gives total revenue = 4s + 2d + 1c. Therefore, option A, r = 4s + 2d + 1c, correctly represents the shop's revenue. Choices B, C, and D are incorrect because they incorrectly multiply the prices of each item by more than one day's sales, which would overstate the total revenue for a three-day period.

4. What is the sixth number in the sequence 5, 6, 7, 8, 9?

A. 8
B. 10
C. 11
D. 12

Correct answer: C

Rationale: In the given sequence 5, 6, 7, 8, 9, the sixth number would come after 9, not after the fifth number in the sequence. To find the sixth number, we need to continue the pattern after 9. The next number after 9 would be 10, making it the sixth number in the sequence. Therefore, the correct answer is not listed among the choices provided. Choice A, 8, is the fifth number in the sequence. Choice B, 10, is the number right after the sixth number. Choice D, 12, is not in the sequence at all, making it incorrect. Thus, the correct answer is 11.

5. In a study about anorexia conducted on 100 patients, where 70% were women, and 10% of the men were overweight as children, how many male patients in the study were NOT overweight as children?

A. 3
B. 10
C. 27
D. 30

Correct answer: C

Rationale: Out of the 100 patients, 30% were men (100 - 70% women), hence 30 men. Since 10% of the men were overweight as children (10% of 30 is 3), the remaining men (30 - 3) were NOT overweight as children, which equals 27. Therefore, the correct answer is 27. Choices A, B, and D are incorrect because they do not reflect the accurate calculation of the number of male patients who were NOT overweight as children.