ATI TEAS 7
TEAS Test Math Questions
1. What is the difference between two negative numbers?
- A. Negative number
- B. Positive number
- C. Zero
- D. Not enough information
Correct answer: B
Rationale: The correct answer is B: 'Positive number.' When you subtract one negative number from another negative number, the result can be a positive number. For example, the difference between -5 and -3 is 2, which is a positive number. Choice A, 'Negative number,' is incorrect because the result of subtracting two negative numbers can be positive. Choice C, 'Zero,' is incorrect because the difference between two negative numbers is not always zero. Choice D, 'Not enough information,' is incorrect because there is enough information to determine that the difference between two negative numbers can be a positive number.
2. If a product's original price is $80 and it is discounted by 20%, what is the final price?
- A. 64
- B. 60
- C. 70
- D. 66
Correct answer: A
Rationale: To find the discounted price, you first calculate 20% of the original price: 20% of $80 is $16. Subtracting this discount amount from the original price gives the final price: $80 - $16 = $64. Therefore, the final price after a 20% discount on a product originally priced at $80 is $64. Choice B, $60, is incorrect because it does not account for the correct discount amount. Choice C, $70, is incorrect as it does not reflect the reduction due to the 20% discount. Choice D, $66, is incorrect as it miscalculates the discounted price.
3. What is the area of the largest circle that can fit entirely inside a rectangle that measures 8 centimeters by 10 centimeters?
- A. 18π cm²
- B. 10π cm²
- C. 16π cm²
- D. 8π cm²
Correct answer: C
Rationale: The largest circle that can fit inside the rectangle would have a diameter of 8 cm, which means the radius is half of the diameter, thus 4 cm. The area of a circle is calculated using the formula A = πr², where r is the radius. Substituting the radius value into the formula, the area of the circle is π(4)² = 16π cm². Therefore, the correct answer is 16π cm². Choice A (18π cm²), B (10π cm²), and D (8π cm²) are incorrect because they do not represent the area of the largest circle that fits inside the given rectangle.
4. How many pints are in a gallon?
- A. 2 pints
- B. 4 pints
- C. 8 pints
- D. 16 pints
Correct answer: C
Rationale: The correct answer is C: 8 pints. In the U.S. customary system, there are 8 pints in a gallon. This conversion is essential to know for various activities like cooking, measuring liquids, or understanding container volumes. Choice A, 2 pints, is incorrect as it represents half a gallon. Choice B, 4 pints, is incorrect as it represents a half-gallon or a quart. Choice D, 16 pints, is incorrect as it represents two gallons. Therefore, the correct answer is C, 8 pints.
5. A mathematics test has a 4:2 ratio of data analysis problems to algebra problems. If the test has 18 algebra problems, how many data analysis problems are on the test?
- A. 24
- B. 28
- C. 36
- D. 38
Correct answer: C
Rationale: The ratio of 4:2 simplifies to 2:1. This means that for every 2 algebra problems, there is 1 data analysis problem. If there are 18 algebra problems, we can set up a proportion: 2 algebra problems correspond to 1 data analysis problem. Therefore, 18 algebra problems correspond to x data analysis problems. Solving the proportion, x = 18 * 1 / 2 = 9. Hence, there are 9 data analysis problems on the test. Therefore, the total number of data analysis problems on the test is 18 (algebra problems) + 9 (data analysis problems) = 27.
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