ATI TEAS 7
TEAS Test Practice Math Questions
Question 1 of 5
A triangle has dimensions of 9 cm, 4 cm, and 7 cm. The triangle is reduced by a scale factor of x. Which of the following represents the dimensions of the dilated triangle?
Correct Answer: C
Rationale: To find the dimensions of the dilated triangle, we multiply each side length by the scale factor x. Given the original triangle has sides 9 cm, 4 cm, and 7 cm, the scale factor x is the ratio of the corresponding sides of the original and dilated triangles. Calculating the ratios for each side: 9/x = 6.75, 4/x = 3, 7/x = 5.25. Solving for x, we get x = 1.33. Multiplying each side by the scale factor gives the dimensions of the dilated triangle as 6.75 cm, 3 cm, and 5.25 cm, which matches option C. Option A, B, and D have incorrect dimensions as they do not match the correct calculations.
Question 2 of 5
A taxi service charges $50 for the first mile, $50 for each additional mile, and 20� per minute of waiting time. Joan took a cab from her place to a flower shop 8 miles away, where she bought a bouquet, then another 6 miles to her mother's place. The driver had to wait 9 minutes while she bought the bouquet. What was the fare?
Correct Answer: C
Rationale: Failed to generate a rationale after 5 retries.
Question 3 of 5
Joshua is taking a test with 30 questions. To qualify for an academic scholarship, he needs to answer at least 80% of the questions correctly. What is the minimum number of questions Joshua must answer correctly to qualify for the scholarship?
Correct Answer: B
Rationale: To calculate 80% of 30 questions, multiply 30 by 0.80, which equals 24. Joshua needs to answer at least 24 questions correctly to meet the 80% threshold for the scholarship. Therefore, the correct answer is B. Choice A (23) is incorrect because it falls short of 80% of 30 questions. Choices C (26) and D (27) exceed the minimum requirement, making them unnecessary.
Question 4 of 5
A commuter survey counts the people riding in cars on a highway in the morning. Each car contains only one man, only one woman, or both one man and one woman. Out of 25 cars, 13 contain a woman and 20 contain a man. How many contain both a man and a woman?
Correct Answer: C
Rationale: To find the cars with both a man and a woman, we can use the formula: Total = Man + Woman - Both + Neither. Given Man = 20, Woman = 13, Total = 25, and Neither = 0 (since each car has at least one person), we can plug in the values: 25 = 20 + 13 - Both + 0. Solving for Both, we get Both = 8. Therefore, the correct answer is C (8 cars with both a man and a woman). Summary: A: Incorrect. There are more cars with a man. B: Incorrect. This number is too high considering the given information. D: Incorrect. This is the total number of cars, not the number with both a man and a woman.
Question 5 of 5
Robert secures three new clients every eight months. After how many months has he secured 24 new clients?
Correct Answer: C
Rationale: To find the total number of clients secured in a given time, we divide the total clients by the clients secured in one period. 24 clients ÷ 3 clients/8 months = 8 periods. To find the total time, we multiply the periods by the time for one period. 8 periods × 8 months = 64 months. Therefore, Robert has secured 24 new clients after 64 months. The other choices are incorrect because they do not align with the correct calculation.
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