shawna buys 5 gallons of paint if she uses 25 of it on the first day how much does she have left
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ATI TEAS 7

TEAS Math Practice Test

1. Shawna buys 5 gallons of paint. If she uses 2/5 of it on the first day, how much paint does she have left?

Correct answer: A

Rationale: To find out how much paint Shawna uses on the first day, calculate 2/5 * 5 = 2 gallons. Subtracting the amount used from the total amount gives us 5 - 2 = 3 gallons remaining. Therefore, Shawna has 3 gallons of paint left after using 2 gallons on the first day. Choice A is correct. Choices B, C, and D are incorrect because she has more paint left than the options presented.

2. A quantity increases from 40 to 60. Express this increase as a percentage.

Correct answer: B

Rationale: To calculate the percentage increase, use the formula: Percentage Increase = ((New Value - Original Value) / Original Value) x 100 Substitute the values: ((60 - 40) / 40) x 100 = (20 / 40) x 100 = 0.5 x 100 = 50% Therefore, the correct answer is 50%. Choice A (26%) is incorrect as the percentage increase is not 26%. Choice C (35%) is incorrect as the percentage increase is not 35%. Choice D (12%) is incorrect as the percentage increase is not 12%.

3. 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.

4. Simplify the following expression: (1/4) × (3/5) ÷ 1 (1/8)

Correct answer: C

Rationale: First, convert the mixed number 1 (1/8) into an improper fraction: 1 (1/8) = 9/8. Now, simplify the expression: (1/4) × (3/5) ÷ (9/8). To divide by a fraction, multiply by its reciprocal: (1/4) × (3/5) × (8/9) = 24/180 = 2/15. Thus, the simplified expression is 2/15. Choice A (8/15) is incorrect because the correct answer is 2/15. Choice B (27/160) is incorrect as it is not the result of the given expression. Choice D (27/40) is incorrect as it does not match the simplified expression obtained.

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.

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