ATI TEAS 7
TEAS Test Math Prep Questions
Question 1 of 5
The total perimeter of a rectangle is 36 cm. If the length of each side is 12 cm, what is the width?
Correct Answer: C
Rationale: The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width. Given that the total perimeter is 36 cm and each side's length is 12 cm, we substitute the values into the formula: 36 = 2(12 + w). Solving for w gives us w = 6.
Therefore, the width of the rectangle is 6 cm.
Choice A (3 cm) is incorrect because the width is not half of the length.
Choice B (12 cm) is the length, not the width.
Choice D (8 cm) is incorrect as it does not match the calculated width of 6 cm.
Question 2 of 5
A school has 15 teachers and 20 teaching assistants. They have 200 students. What is the ratio of faculty to students?
Correct Answer: B
Rationale: The total number of faculty members is 15 teachers + 20 teaching assistants = 35. The ratio of faculty to students is then 35:200, which simplifies to 7:40. Further simplifying by dividing both numbers by 5 gives the ratio 4:20, which can be simplified to 4:17.
Therefore, the correct ratio is 4:17.
Choices A, C, and D are incorrect ratios and do not match the calculated ratio of faculty members to students in this scenario.
Question 3 of 5
67 miles is equivalent to how many kilometers to three significant digits?
Correct Answer: A
Rationale:
To convert miles to kilometers, the conversion factor is 1 mile ≈ 1.609 kilometers.
Therefore, to convert 67 miles to kilometers, you would multiply: 67 miles 1.609 km/mile = 107.703 km. When rounded to three significant digits, this gives 108 km.
Therefore, 67 miles is approximately 108 kilometers.
Choice A is correct because it is the closest rounded value to three significant digits.
Choices B, C, and D are incorrect as they do not match the calculated conversion of 108 km.
Question 4 of 5
What is the sixth number in the sequence 5, 6, 7, 8, 9?
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.
Question 5 of 5
At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim's house and gives him 6 of his apples. He then uses ¾ of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?
Correct Answer: D
Rationale: Xavier starts with 20 apples. He gives half of his apples to his sister Emma, which is 20 · 2 = 10 apples, leaving him with 10 apples.
Then, he gives 6 apples to his neighbor Jim, leaving him with 10 - 6 = 4 apples. Using ¾ of his remaining 4 apples for the pie, he uses 3/4 x 4 = 3 apples.
Therefore, he has 4 - 3 = 1 apple left at the end of the day.
Choice D, 1 apple, is the correct answer.
Choices A, B, and C are incorrect because Xavier ends up with 1 apple remaining, not 4, 6, or 2.