ATI TEAS 7
TEAS Math Practice Test
1. 4.67 miles is equivalent to how many kilometers to three significant digits?
- A. 7.514 km
- B. 7.51 km
- C. 2.90 km
- D. 2.902 km
Correct answer: B
Rationale: To convert miles to kilometers, we use the conversion factor of 1 mile ≈ 1.60934 km. Therefore, 4.67 miles * 1.60934 km/mile = 7.514 km. When rounded to three significant digits, the answer is 7.51 km. Choice A of 7.514 km is the correct conversion, but the question asked for the answer to be rounded to three significant digits, making choice B, 7.51 km, the most precise and correct option. Choices C and D are incorrect conversions and do not match the correct conversion of 4.67 miles to kilometers.
2. Futuristic Furniture gave the man two choices: pay the entire amount in one payment with cash, or pay $1000 as a down payment and $120 per month for two full years in the financing plan. If the man chooses the financing plan, how much more would he pay?
- A. $1480 more
- B. $1280 more
- C. $1600 more
- D. $2480 more
Correct answer: B
Rationale: If the man chooses the financing plan, he pays $1000 as a down payment initially. Over the two-year period, he will be paying $120 per month for a total of 24 months, which amounts to $120 x 24 = $2880. Therefore, the total amount he pays for the furniture through the financing plan is $1000 (down payment) + $2880 (monthly payments) = $3880. Comparing this total with the entire amount paid in one payment with cash would be $3880 - $3000 = $880 more. So, the man would pay $880 more if he chooses the financing plan. Therefore, the correct answer is $1280 more, not $1480, $1600, or $2480. These amounts do not accurately represent the additional cost incurred by choosing the financing plan.
3. In Jim's school, there are 3 girls for every 2 boys. There are 650 students in total. Using this information, how many students are girls?
- A. 260
- B. 130
- C. 65
- D. 390
Correct answer: A
Rationale: To find the number of girls in Jim's school, we first establish the ratio of girls to boys as 3:2. This ratio implies that out of every 5 students (3 girls + 2 boys), 3 are girls and 2 are boys. Since there are a total of 650 students, we can divide them into 5 equal parts based on the ratio. Each part represents 650 divided by 5, which is 130. Therefore, there are 3 parts of girls in the school, totaling 3 multiplied by 130, which equals 390. Hence, there are 390 girls in Jim's school. Choice A, 260, is incorrect as it does not consider the correct ratio and calculation. Choice B, 130, is incorrect as it only represents one part of the total students, not the number of girls. Choice C, 65, is incorrect as it ignores the total number of students and the ratio provided.
4. 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?
- A. 45 miles
- B. 54 miles
- C. 112 miles
- D. 144 miles
Correct answer: D
Rationale: To find the actual distance represented by 3.2 inches on the map, we use the scale of 1 inch representing 45 miles. Setting up the proportion 1 inch = 45 miles, we can calculate the actual distance by multiplying 3.2 inches by 45 miles, which equals 144 miles. Therefore, the correct answer is 144 miles. Choice A (45 miles) is incorrect as it represents the distance for 1 inch on the map, not for 3.2 inches. Choices B (54 miles) and C (112 miles) are incorrect calculations based on a misinterpretation of the scale.
5. Identify the positioning of decimal places after the decimal point in this number: 0.08573
- A. 0 in the first decimal place
- B. 8 in the first decimal place
- C. 5 in the second decimal place
- D. 3 in the third decimal place
Correct answer: C
Rationale: In the number 0.08573, the digits are positioned after the decimal point as follows: 0.08573. The correct answer is '5 in the second decimal place' because 5 is the second digit after the decimal point. Choice A is incorrect as there is no '0' after the decimal point. Choice B is incorrect as '8' is the first digit after the decimal point. Choice D is incorrect as '3' is the fourth digit after the decimal point.
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