ATI TEAS 7
Practice Math TEAS TEST
1. What is the length of the unknown leg of a right triangle that has one leg measuring 9 feet and a hypotenuse of 19 feet? (Round to the nearest tenth.)
- A. 16.7 feet
- B. 16.0 feet
- C. 17.4 feet
- D. 8.4 feet
Correct answer: A
Rationale: To find the length of the unknown leg (a) of a right triangle, use the Pythagorean theorem: a² + 9² = 19². Substitute the known values, solve for a: a² + 81 = 361. Subtract 81 from both sides to get a² = 280. Taking the square root of 280 gives a ≈ 16.7 feet. Therefore, the correct answer is 16.7 feet. Choice B (16.0 feet) is incorrect as it does not accurately round to the nearest tenth. Choice C (17.4 feet) and choice D (8.4 feet) are incorrect as they do not match the calculated value using the Pythagorean theorem.
2. A student scores 85% on a test with 50 questions. How many questions did the student answer correctly?
- A. 40 questions
- B. 42 questions
- C. 43 questions
- D. 45 questions
Correct answer: C
Rationale: To find the number of questions answered correctly, you multiply the percentage (85%) by the total number of questions (50). 85% of 50 questions is 0.85 * 50 = 43 questions answered correctly. Therefore, the correct answer is 43 questions. Choices A, B, and D are incorrect as they do not reflect the accurate calculation based on the given information.
3. A study was conducted where patients were divided into three groups: 1/2 in Group Alpha, 1/3 in Group Beta, and 1/6 in Group Gamma. Which group is the smallest?
- A. Group Alpha
- B. Group Beta
- C. Group Gamma
- D. Group Gamma
Correct answer: C
Rationale: The smallest group is Group Gamma, which had 1/6 of the total number of patients. To determine the smallest group, compare the fractions representing the portions of patients in each group. 1/6 is smaller than 1/3 and 1/2, making Group Gamma the smallest. Group Alpha and Group Beta have larger fractions of patients, making them larger groups compared to Group Gamma.
4. 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.
5. Shawna buys 5.0 gallons of paint. If she uses 2.5 gallons of it on the first day, how much does she have left?
- A. 2.0 gallons
- B. 2.5 gallons
- C. 3.0 gallons
- D. 1.5 gallons
Correct answer: B
Rationale: To find the remaining paint, subtract the amount used from the total gallons bought. 5.0 - 2.5 = 2.5 gallons. Therefore, Shawna has 2.5 gallons of paint left after using 2.5 gallons on the first day. Choices A, C, and D are incorrect because they do not accurately represent the amount of paint left after using 2.5 gallons.
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