two thirds of the students in mr garcias class are boys if there are 27 students in the class how many of them are girls

HESI A2

Practice HESI A2 Math Test

1. In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?

A. 1
B. 9
C. 12
D. 20

Correct answer: B

Rationale: If two-thirds of the students are boys, then one-third of the students must be girls. One-third of 27 is 9, so there are 9 girls in Mr. Garcia's class. Therefore, the correct answer is 9. Choice A is incorrect because it is too low; only one-third of the students are girls. Choices C and D are incorrect as they do not reflect the correct calculation based on the given information in the question.

2. Add and simplify: 4â…” + 6Â½ =

A. 11â…™
B. 10â…“
C. 9â…™
D. 9

Correct answer: C

Rationale: To add 4â…” and 6Â½, we first need to convert the fractions to have the same denominator. Converting 4â…” to 6ths gives us 8/6, and 6Â½ to 6ths gives us 7/2. Adding them together gives 15/2, which simplifies to 7Â½ or 9â…™. Therefore, the correct answer is 9â…™. Choices A, B, and D are incorrect as they do not represent the correct sum of the fractions after conversion and simplification.

3. If a horse can trot around a track twice in 10 minutes, how many times will it circle the track at that same speed in half an hour?

A. 3 times
B. 5 times
C. 6 times
D. 10 times

Correct answer: C

Rationale: If a horse can trot around a track twice in 10 minutes, it completes one circle in 5 minutes. To determine how many times it will circle the track in half an hour (30 minutes), divide the total time by the time taken for one circle: 30 minutes / 5 minutes per circle = 6 times. Therefore, the horse will circle the track 6 times at the same speed in half an hour. Choice A, 3 times, is incorrect as it does not consider the correct time taken for a single circle. Choice B, 5 times, is incorrect as it miscalculates the total number of circles within half an hour. Choice D, 10 times, is incorrect as it overestimates the number of circles the horse can complete in the given time frame.

4. What is the perimeter of a garden bed with a side length of 8 meters?

A. 16m
B. 24m
C. 32m
D. 64m

Correct answer: B

Rationale: The correct answer is B: 24m. The perimeter of a square is found by adding up all its sides. In this case, since the garden bed has a side length of 8 meters, the perimeter would be 8m + 8m + 8m + 8m = 24m. Choices A, C, and D are incorrect because they do not correctly calculate the perimeter of a square with a side length of 8 meters.

5. If Gwen's favorite summer drink is 2 parts fruit juice to 3 parts seltzer and she starts with a gallon of fruit juice, how many quarts of seltzer will she need?

A. 3 quarts
B. 4.5 quarts
C. 5 quarts
D. 6 quarts

Correct answer: D

Rationale: To maintain the ratio of 2 parts fruit juice to 3 parts seltzer, for every 2 parts of fruit juice, Gwen will need 3 parts of seltzer. Since a gallon of fruit juice is equivalent to 4 quarts, she will need 3 quarts of seltzer for every 2 quarts of fruit juice. For 4 quarts of fruit juice, she will require 6 quarts of seltzer. Therefore, Gwen will need 6 quarts of seltzer to make the summer drink for her friends. Choice A (3 quarts) is incorrect because it does not account for the correct ratio. Choice B (4.5 quarts) is incorrect because it is not a whole number and does not align with the ratio provided. Choice C (5 quarts) is incorrect as it does not match the proportional ratio of fruit juice to seltzer required.