1. Curtis is taking a road trip through Germany, where all distance signs are in metric. He passes a sign that states the city of Dusseldorf is 45 kilometers away. Approximately how far is this in miles?
Correct Answer: C
Rationale: To convert kilometers to miles, you can use the conversion factor of approximately 0.62 miles per kilometer. Therefore, 45 kilometers × 0.62 miles/kilometer = 27.9 miles, which is approximately 28 miles away. Choice A (42 miles), Choice B (37 miles), and Choice D (16 miles) are incorrect as they do not reflect the accurate conversion from kilometers to miles.
2. Pernell received the following scores on five exams: 81, 92, 87, 89, and 94. What is the approximate average of these scores?
Correct Answer: C
Rationale: To calculate the average of Pernell's scores, add all the scores together and then divide by the number of scores.
(81 + 92 + 87 + 89 + 94) = 443.
Now, divide 443 by 5:
443 ÷ 5 = 89, which is the average score.
3. Simplify the following expression:
Correct Answer: A
Rationale: To simplify the given expression, start by performing the division first: (2/3) ÷ (4/15) = (2/3) × (15/4) = 30/12 = 5/2. Next, multiply this result by 5/8: 5/2 × 5/8 = 25/16 = 1 9/16. Therefore, the correct answer is A. Choice B (1 1/4) is incorrect as it does not match the simplified result. Choice C (2 1/8) is incorrect as it does not represent the simplified expression. Choice D (2) is incorrect as it does not account for the fractions in the original expression.
4. Solve for x: 4(2x - 6) = 10x - 6
Correct Answer: C
Rationale: To solve the equation 4(2x - 6) = 10x - 6, first distribute 4 into the parentheses: 8x - 24 = 10x - 6. Next, simplify the equation by rearranging terms: 8x - 10x = -6 + 24, which gives -2x = 18. Solving for x by dividing by -2 on both sides gives x = -9. Therefore, the correct answer is x = -9. Choice A (x = 5), Choice B (x = -7), and Choice D (x = 10) are incorrect solutions obtained by errors in solving the equation.
5. In the town of Ellsford, there are approximately 1,450 residents who attend church weekly. If around 400 of them attend Catholic Churches, what percentage of churchgoers in Ellsford attends Catholic Churches?
Correct Answer: B
Rationale: To find the percentage of churchgoers who attend Catholic Churches, divide the number of Catholic churchgoers by the total number of churchgoers and then multiply by 100.
(400 ÷ 1,450) × 100 ≈ 27.59%, which rounds to 28%.
3000+ Practice Questions: to help you prepare adequately for the ATI TEAS 7.