HESI A2
Math HESI A2 Practice Test
1. A train leaves the station at 1:45 PM traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15 PM, how many miles did it travel?
- A. 97.5 miles
- B. 100 miles
- C. 95 miles
- D. 105 miles
Correct answer: A
Rationale: To calculate the distance traveled by the train, multiply the speed (65 mph) by the time it took to reach the destination, which is 1.5 hours (3:15 PM - 1:45 PM = 1.5 hours). Therefore, 65 mph × 1.5 hours = 97.5 miles. This calculation is correct because distance = speed × time. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.
2. A circular bandage has a diameter of 6cm. What is the area covered by the bandage (area of a circle = πr^2)?
- A. 9Ï€ cm^2
- B. 18Ï€ cm^2
- C. 27Ï€ cm^2
- D. 36Ï€ cm^2
Correct answer: C
Rationale: Rationale: - The formula for the area of a circle is A = πr^2, where r is the radius of the circle. - The diameter of the circular bandage is 6 cm, so the radius (r) is half of the diameter, which is 6/2 = 3 cm. - Substitute the radius (r = 3 cm) into the formula for the area of a circle: A = π(3)^2 = 9π cm^2. - Therefore, the area covered by the bandage is 9π cm^2.
3. How many ounces are in 3 5/8 quarts?
- A. 184 oz
- B. 132 oz
- C. 128 oz
- D. 320 oz
Correct answer: A
Rationale: To convert quarts to ounces, we need to know that 1 quart is equal to 32 ounces. To find out how many ounces are in 3 5/8 quarts, we multiply 3 quarts by 32 (96) and add the equivalent of 5/8 of a quart, which is 16 ounces (32 * 5/8 = 16). Adding these together gives us a total of 112 ounces. Therefore, the correct answer is 184 ounces. Choice B (132 oz) is incorrect as it does not account for the additional 16 ounces from the 5/8 of a quart. Choice C (128 oz) is incorrect as it miscalculates the total number of ounces. Choice D (320 oz) is incorrect as it incorrectly multiplies 3.625 by 32, which is not the correct way to convert quarts to ounces.
4. In a scale drawing for a garden, 2 cm = 1 m. If the garden measures 8 cm by 10 cm in the drawing, how large will it be in reality?
- A. 2 m by 3 m
- B. 4 m by 5 m
- C. 8 m by 10 m
- D. 16 m by 20 m
Correct answer: C
Rationale: In the scale drawing, 2 cm represents 1 m. To find the actual dimensions of the garden in reality, we need to multiply the dimensions in the drawing by the scale factor. So, 8 cm x 2 = 16 cm in reality (length) and 10 cm x 2 = 20 cm in reality (width). Converting these to meters, the garden will be 16 m by 20 m. Choices A, B, and D are incorrect because they do not correctly apply the scale factor to determine the actual dimensions of the garden.
5. An artist sells paintings at $5.50 each. She has 7 stands and pays $35 per stand. What is her profit if she sells an average of 11 paintings per stand?
- A. $245
- B. $178.50
- C. $175
- D. $423.50
Correct answer: B
Rationale: To calculate the profit, first determine the total revenue: 7 stands * 11 paintings per stand * $5.50 per painting = $423.50. Then, subtract the total stand expenses ($35 per stand * 7 stands = $245) from the total revenue to get the profit: $423.50 - $245 = $178.50. Therefore, the correct answer is $178.50. Option A is incorrect because it does not account for the stand expenses. Option C is incorrect as it does not consider the total revenue. Option D is incorrect as it overestimates the profit by not deducting the stand expenses.
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