HESI A2
HESI A2 Math Practice Exam
1. What number is 44 equal to 25% of?
- A. 176
- B. 150
- C. 180
- D. 120
Correct answer: A
Rationale: To find the number, let it be x. The equation is 44 = 0.25 * x. Dividing both sides by 0.25 gives x = 44 / 0.25 = 176. Therefore, 44 is equal to 25% of 176. Choice A is correct because 176 is the number that 44 is equal to 25% of. Choices B, C, and D are incorrect as they do not satisfy the equation 44 = 0.25 * x.
2. Convert this military time to regular time: 1310 hours.
- A. 1:10 A.M.
- B. 1:10 P.M.
- C. 1:31 A.M.
- D. 1:31 P.M.
Correct answer: D
Rationale: In military time, 1310 hours is equivalent to 1:10 P.M. However, in regular time, the conversion should have a colon between the hour and minutes, so the correct conversion is 1:31 P.M. Choice A (1:10 A.M.) and Choice C (1:31 A.M.) are incorrect as they both represent A.M. hours, while 1310 hours is in the afternoon (P.M.). Choice B (1:10 P.M.) is incorrect as it represents the hour correctly but lacks the accurate minutes representation.
3. A stop sign has five equal sides, each measuring 25cm. What is its perimeter?
- A. 100cm
- B. 125cm
- C. 150cm
- D. 175cm
Correct answer: C
Rationale: Rationale: - Since a stop sign has five equal sides, each measuring 25cm, the perimeter can be calculated by adding up the lengths of all five sides. - Perimeter = 25cm + 25cm + 25cm + 25cm + 25cm = 125cm - Therefore, the perimeter of the stop sign is 125cm.
4. A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?
- A. 625 cu cm
- B. 1250 cu cm
- C. 1875 cu cm
- D. 2500 cu cm
Correct answer: C
Rationale: To find the volume of the frustum of a cone, divide it into two cones and calculate their volumes separately. The formula for the volume of a cone frustum involves the radii of both bases and the height. The volume of the frustum cone can be calculated as V = 1/3 * π * h * (R^2 + r^2 + R * r), where R is the larger radius, r is the smaller radius, and h is the height. Substituting the values, V = 1/3 * π * 15 * (10^2 + 20*10 + 20^2) = 1875 cu cm. Therefore, the correct answer is 1875 cu cm. Choice A, B, and D are incorrect as they do not correspond to the correct calculation of the frustum's volume.
5. What is 110% of 40?
- A. 60
- B. 50
- C. 55
- D. 44
Correct answer: D
Rationale: To find 110% of a number, you multiply the number by 1.10. Therefore, 1.10 * 40 = 44. Since 110% of 40 is 44, the correct answer is D. Choice A (60) is the result of finding 150% of 40, not 110%. Choice B (50) is incorrect as it represents 125% of 40. Choice C (55) is not the correct answer as it corresponds to 137.5% of 40.
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