HESI A2
HESI A2 Math Practice Test 2024
1. 25 1/7 - 12 5/7 = ?
- A. 12 3/7
- B. 14 1/7
- C. 13 5/6
- D. 13
Correct answer: A
Rationale: To subtract mixed numbers, subtract the whole numbers and fractions separately. If necessary, borrow from the whole number when the fraction in the minuend is smaller than the fraction in the subtrahend. The whole numbers are: 25 - 12 = 13. The fractions: 1/7 - 5/7. Since 1/7 is smaller, borrow 1 from 13, making it 12. Then convert 1 whole into 7/7, so the fraction becomes: (7/7 + 1/7) - 5/7 = 8/7 - 5/7 = 3/7. Thus, 25 1/7 - 12 5/7 = 12 3/7.
2. 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.
3. Which of the following molecules is an important component of the plasma membrane?
- A. Phospholipids
- B. Steroids
- C. Sugars
- D. Amino acids
Correct answer: A
Rationale: Phospholipids are indeed a crucial component of the plasma membrane. They have a unique structure with hydrophilic heads and hydrophobic tails, which allows them to form the lipid bilayer of the membrane. Steroids, sugars, and amino acids are not primary components of the plasma membrane. Steroids are a different type of lipid, sugars are often found in glycoproteins on the membrane surface, and amino acids are the building blocks of proteins, some of which are membrane proteins, but not the membrane itself.
4. Which is a secondary defense for the body against pathogens?
- A. Tears
- B. Urine
- C. Inflammation
- D. Mucus
Correct answer: C
Rationale: Inflammation is a secondary defense mechanism for the body against pathogens. When tissues are injured or infected, inflammation occurs as a protective response involving increased blood flow, white blood cell migration, and tissue repair. This process helps contain and eliminate pathogens, preventing them from spreading further in the body. Tears (Choice A) are a primary defense containing lysozyme and other antimicrobial agents. Urine (Choice B) is typically considered a non-specific defense mechanism due to its flushing action in the urinary tract. Mucus (Choice D) acts as a physical barrier and traps pathogens, also considered a primary defense mechanism.
5. Which word in the sentence needs to be corrected for proper grammar?
- A. About it
- B. A
- C. With
- D. Made
Correct answer: B
Rationale: The word 'A' should be corrected to 'an' in the sentence. The sentence should read, 'The nurse made an error with the medication, so the doctor made notes about it in the patient's file.' The article 'an' is used before a noun beginning with a vowel sound, like 'error' in this case. Choices A, C, and D are grammatically correct in the sentence and do not need to be altered.
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