at the fair serena sold 6 fewer balloons than tommy who sold 2 more balloons than uri sold if uri sold 28 balloons how many did serena sell

HESI A2

HESI A2 Math Practice Test

1. At the fair, Serena sold 6 fewer balloons than Tommy, who sold 2 more balloons than Uri. If Uri sold 28 balloons, how many did Serena sell?

A. 20
B. 22
C. 24
D. 32

Correct answer: C

Rationale: If Uri sold 28 balloons, Tommy sold 28 + 2 = 30 balloons. Since Serena sold 6 fewer balloons than Tommy, she sold 30 - 6 = 24 balloons. Therefore, Serena sold 24 balloons. Choice A, 20 balloons, is incorrect because it doesn't consider the difference in sales between Serena and Tommy. Choice B, 22 balloons, is incorrect as it doesn't account for the correct relation between Tommy and Serena's sales. Choice D, 32 balloons, is incorrect as it doesn't align with the given information about the sales differences.

2. What is the sum of 1/3, 1/4, and 1/6?

A. 5/12
B. 1/2
C. 1/3
D. 1/4

Correct answer: B

Rationale: To find the sum of 1/3, 1/4, and 1/6, we need to first find a common denominator. The least common multiple of 3, 4, and 6 is 12. So, we rewrite the fractions with the common denominator: 1/3 = 4/12, 1/4 = 3/12, and 1/6 = 2/12. Adding these fractions together gives us 4/12 + 3/12 + 2/12 = 9/12, which simplifies to 3/4 or 1/2. Therefore, the correct answer is 1/2. Choice A (5/12) is incorrect because it does not represent the sum of the fractions given. Choices C (1/3) and D (1/4) are also incorrect as they are individual fractions and do not represent the sum of the fractions provided.

3. A healthcare professional works in a military hospital from 1300 to 2000. What time of day does this healthcare professional work?

A. Early morning to early afternoon
B. Lunchtime to midnight
C. Early afternoon to bedtime
D. Midnight to sunrise

Correct answer: C

Rationale: The correct answer is C: Early afternoon to bedtime. The healthcare professional's work hours from 1300 to 2000 correspond to 1 PM to 8 PM, indicating work during the afternoon and early evening. Choice A (Early morning to early afternoon) is incorrect because the professional works in the afternoon and early evening, not the morning. Choice B (Lunchtime to midnight) is incorrect as the professional finishes work before midnight, not until midnight. Choice D (Midnight to sunrise) is incorrect as the professional's work hours are during the daytime and evening, not overnight.

4. A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan?

A. 80 inches by 100 inches
B. 40 inches by 50 inches
C. 4.8 inches by 6 inches
D. 4 inches by 5 inches

Correct answer: B

Rationale: When the real shed roof measures 4 feet by 5 feet, on a 1:10 scale plan, the measurements on the plan would be 1/10 of the real measurements. Therefore, the correct answer is 40 inches by 50 inches since it represents 1/10 of 4 feet by 5 feet. Choice A (80 inches by 100 inches) is incorrect because it is equivalent to the real shed measurements, not the scaled plan. Choice C (4.8 inches by 6 inches) is incorrect as it does not reflect the 1:10 scale reduction. Choice D (4 inches by 5 inches) is incorrect because it does not consider the scale factor of 1:10.

5. Convert 7/8 to a decimal.

A. 0.8
B. 0.8
C. 0.875
D. 0.9

Correct answer: C

Rationale: To convert the fraction 7/8 to a decimal, you divide the numerator (7) by the denominator (8): 7 ÷ 8 = 0.875. Therefore, the correct decimal representation of the fraction 7/8 is 0.875. Choice A and B, which are both 0.8, are incorrect as they represent 4/5 and not 7/8. Choice D, 0.9, is also incorrect as it represents 9/10 and not 7/8.