ATI TEAS 7
TEAS Test Sample Math Questions
1. What is the result of adding 1/6 and 1/2, expressed in reduced form?
- A. 9/7
- B. 1/3
- C. 31/36
- D. 3/5
Correct answer: B
Rationale: To add 1/6 and 1/2, you need a common denominator, which is 6. So, 1/6 + 3/6 = 4/6. Simplifying 4/6 gives 2/3, which is the correct answer (1/3). Choices A, C, and D are incorrect as they do not represent the correct sum of the fractions 1/6 and 1/2.
2. How do you convert yards to feet, and feet to yards?
- A. Multiply yards by 3 to get feet; divide feet by 3 to get yards
- B. Multiply yards by 2 to get feet; divide feet by 2 to get yards
- C. Multiply yards by 1.5 to get feet; divide feet by 1.5 to get yards
- D. Multiply yards by 4 to get feet; divide feet by 4 to get yards
Correct answer: A
Rationale: To convert yards to feet, you need to know that 1 yard is equal to 3 feet. Therefore, to convert yards to feet, you multiply the number of yards by 3. To convert feet to yards, you divide the number of feet by 3. Choice A correctly states that you should multiply yards by 3 to get feet and divide feet by 3 to get yards. Choices B, C, and D provide incorrect conversion factors, leading to inaccurate results.
3. Solve for x: 2x - 7 = 3
- A. x = 4
- B. x = 3
- C. x = -2
- D. x = 5
Correct answer: D
Rationale: To solve the equation for x, follow these steps: 2x - 7 = 3. Add 7 to both sides to isolate 2x, resulting in 2x = 10. Then, divide by 2 on both sides to find x, which gives x = 5. Therefore, the correct answer is x = 5. Choices A, B, and C are incorrect because they do not accurately solve the equation.
4. A soccer field is rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of area often used to measure larger areas. Given that 1 hectare = 10,000 square meters, which of the following represents the soccer field’s area in hectares?
- A. 0.75 hectares
- B. 7.5 hectares
- C. 7,500 hectares
- D. 75,000,000 hectares
Correct answer: A
Rationale: To find the area of the soccer field, multiply its length by its width: 100 meters × 75 meters = 7500 square meters. To convert this to hectares, divide by 10,000 (since 1 hectare = 10,000 square meters), resulting in 0.75 hectares. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not correctly convert the area to hectares. B and C are off by a factor of 10, while D is off by a factor of 10,000.
5. While at the local ice skating rink, Cora went around the rink 27 times in total. She slipped and fell 20 of the 27 times she skated around the rink. What approximate percentage of the times around the rink did Cora not slip and fall?
- A. 37%
- B. 74%
- C. 26%
- D. 15%
Correct answer: C
Rationale: To find the approximate percentage of the times Cora did not slip and fall, subtract the times she fell (20) from the total times around the rink (27), which gives 7. Then, divide the number of times she did not slip and fall (7) by the total times around the rink (27) and multiply by 100 to get the percentage. So, 7 divided by 27 equals 0.259, which rounds to approximately 26%. Therefore, the correct answer is 26%. Choice A (37%) is incorrect because it does not reflect the calculation based on the given information. Choice B (74%) is incorrect as it is not the result of the correct calculation. Choice D (15%) is incorrect as it does not match the calculated percentage based on the scenario provided.
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