HESI A2
HESI A2 Math Practice Test 2024
1. Ratio and proportion: 6:10=24:x
- A. 40
- B. 25
- C. 240
- D. 4
Correct answer: A
Rationale: To solve for x, use cross-multiplication: 6x = 10 x 24 6x = 240 Now, divide both sides by 6 to find x: x = 240 / 6 = 40 Therefore, the correct answer is A. 40. Choice B, 25, is incorrect because it does not satisfy the proportion. Choice C, 240, is incorrect because it represents the value that is given in the proportion and not the value of x. Choice D, 4, is incorrect as it does not align with the correct calculation for x.
2. Multiply: 6 × 0.06 =
- A. 0.0036
- B. 0.036
- C. 0.36
- D. 3.6
Correct answer: C
Rationale: When multiplying 6 by 0.06, you can treat 0.06 as 6 hundredths. So, 6 × 0.06 is equivalent to 6 × 6 hundredths, which equals 0.36. The correct answer is 0.36. Choice A (0.0036) is incorrect because it represents 6 multiplied by 0.0006, not 0.06. Choice B (0.036) is incorrect as it represents 6 multiplied by 0.06 without considering the position of the decimal point. Choice D (3.6) is incorrect as it represents 6 multiplied by 6, not by 0.06.
3. What is the solution to the equation 4y - 6 = 14? Solve for y.
- A. 4
- B. 5
- C. 6
- D. 7
Correct answer: B
Rationale: To solve the equation 4y - 6 = 14 for y, isolate y by adding 6 to both sides: 4y = 14 + 6 => 4y = 20. Then, divide by 4 to solve for y: y = 20 ÷ 4 = 5. Therefore, the correct answer is 5. Choice A is incorrect as it does not represent the correct solution to the equation. Choice C is incorrect as it is not the solution obtained after correctly solving the equation. Choice D is incorrect as it is not the correct solution to the given equation.
4. 4 7/8 divided by 1 1/6 equals what?
- A. 4 & 6/8
- B. 4 & 7/8
- C. 5 & 8/14
- D. 4 & 5/28
Correct answer: D
Rationale: To divide 4,7/8 by 1,1/6: Convert to improper fractions: 4,7/8 = 39/8 1,1/6 = 7/6 Divide by multiplying by the reciprocal: 39/8 × 6/7 = 234/56 Simplify: 234/56 = 117/28 or 4,5/28
5. Subtract and simplify: -5 - (-6) =
- A. ½
- B. 1⅜
- C. 1
- D. 1⅔
Correct answer: C
Rationale: To simplify the expression -5 - (-6), we can rewrite it as -5 + 6 (since subtracting a negative number is equivalent to adding its positive counterpart). This gives us -5 + 6 = 1. Therefore, the correct answer is 1. Choice A, ½, is incorrect because the subtraction of a negative number results in a positive number. Choices B and D are also incorrect as they do not match the simplified result of -5 - (-6), which is 1.
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