HESI A2
HESI A2 Math Practice
1. Subtract 28 3/4 - 5 5/6.
- A. 22 & 11/12
- B. 23 & 1/2
- C. 34 & 1/12
- D. 22 & 2/3
Correct answer: A
Rationale: To subtract mixed numbers, find a common denominator. Convert 28 3/4 to 28 9/12. Then, subtract 5 5/6 from 28 9/12 to get 22 11/12. Therefore, 28 3/4 - 5 5/6 = 22 & 11/12, which matches choice A. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result after finding the common denominator and performing the subtraction.
2. Add 6 & 3/4 + 8 & 1/6.
- A. 35/6
- B. 14 & 2/5
- C. 14 & 11/12
- D. 12 & 3/24
Correct answer: C
Rationale: To add mixed numbers, first add the whole numbers together, then add the fractions. 6 + 8 = 14. For the fractions: 3/4 + 1/6 = (18 + 4) / 24 = 22/24 = 11/12. Therefore, 6 & 3/4 + 8 & 1/6 equals 14 & 11/12. Choice A is incorrect as it does not represent the correct sum. Choice B is incorrect because it does not match the correct result. Choice D is incorrect as it simplifies to 12 & 1/6, not 12 & 3/24.
3. At the bake sale, Josie bought 3 brownies for $35 each. She paid with a $5 bill. What change did she receive?
- A. $0.85
- B. $0.95
- C. $1.05
- D. $1.15
Correct answer: B
Rationale: Josie bought 3 brownies for $35 each, totaling $3 x $35 = $105. She paid with a $5 bill, so the change she received would be $105 - $5 = $100. Therefore, Josie received $100 in change, which is equivalent to $0.95. Choice A, $0.85, is incorrect because the change is $100, not $0.85. Choice C, $1.05, is incorrect as it is not the correct change for the transaction. Choice D, $1.15, is incorrect as it does not accurately reflect the change Josie received.
4. Ratio and proportion 1.2:x=14:42.
- A. 2
- B. 0
- C. 1
- D. 3
Correct answer: D
Rationale: Cross-multiply to solve for 𝑥 x: 1.2 × 42 = 14 𝑥 1.2×42=14x 50.4 = 14 𝑥 50.4=14x 𝑥 = 50.4 14 = 3.6 x= 14 50.4 =3.6
5. A pizza has a diameter of 40cm. What is its perimeter (circumference)?
- A. 62.8cm
- B. 125.5cm
- C. 125.6cm
- D. 251.2cm
Correct answer: C
Rationale: Rationale: The correct answer is obtained by applying the formula for the circumference of a circle, which is \(C = \pi \times d\), where \(d\) is the diameter of the circle. By substituting the given diameter of 40cm into the formula and performing the calculation, we find that the circumference of the pizza is 125.6cm.
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