HESI A2 - Math - Practice Exam - REAL EXAM QUESTIONS & VERIFIED ANSWERS - PASS FIRST ATTEMPT GUARANTEED UPDATED QUESTIONS AND 100% ACCURATE ANSWERS | HIGH-LEVEL EXIT EXAM

Which of the following represents the total number of ounces contained within a single gallon? A) 64 oz B) 128 oz C) 32 oz D) 256 oz • Correct Answer: B) 128 oz • Rationale: There are 4 quarts in a gallon, 2 pints in a quart, and 16 ounces in a pint. Multiplying these together ($4 times 2 times 16$) yields exactly 128 fluid ounces in one standard gallon. What is 70% of 65? A) 45.5 B) 42.0 C) 48.5 D) 39.5 • Correct Answer: A) 45.5 • Rationale: To calculate the percentage, convert 70% to a decimal (0.7) and multiply it by the base number: $0.7 times 65 = 45.5$. For a recipe, there are 3 eggs needed for every pound of cake needed. How many pounds of cake can be made if there are 40 eggs? A) 12 pounds B) 13 pounds C) 14 pounds D) 15 pounds • Correct Answer: B) 13 pounds • Rationale: Divide the total number of eggs by the eggs needed per pound: $40 div 3 = 13$ with a remainder of 1 egg. Therefore, you can make 13 full pounds of cake. Evaluate the expression $x^4 − y$ if $x = 3$ and $y = 20$. A) 61 B) 12 C) 41 D) 71 • Correct Answer: A) 61 • Rationale: First, calculate $x^4$, which is $3^4 = 3 times 3 times 3 times 3 = 81$. Next, substitute $y$ into the expression and subtract: $81 - 20 = 61$. Subtract the following numbers: $1001 − 99 =$ A) 912 B) 902 C) 892 D) 901 • Correct Answer: B) 902 • Rationale: Performing standard subtraction: $1001 - 99 = 902$. Add the following numbers: $9.43 + 11.3 =$ A) 20.46 B) 21.16 C) 20.73 D) 11.73 • Correct Answer: C) 20.73 • Rationale: Line up the decimal points to add the numbers correctly: Plaintext 09.43 +11.30 ------- 20.73 Multiply the following numbers: $(226)(55.3) =$ A) 12,497.8 B) 12,386.2 C) 11,985.4 D) 12,501.6 • Correct Answer: A) 12,497.8 • Rationale: Multiplying the whole number by the decimal gives: $226 times 55.3 = 12497.8$. How many millimeters are there in 5 meters? A) 500 mm B) 5,000 mm C) 50,000 mm D) 50 mm • Correct Answer: B) 5,000 mm • Rationale: There are 1,000 millimeters in 1 meter. To convert 5 meters to millimeters, multiply by 1,000: $5 times 1000 = 5000text{ mm}$. Which of the following percentage values is mathematically equivalent to the decimal 0.0009? A) 0.09% B) 0.9% C) 0.009% D) 9% • Correct Answer: A) 0.09% • Rationale: To convert a decimal to a percentage, multiply the decimal value by 100 and add the percent sign: $0.0009 times 100 = 0.09%$. Which of the following options correctly writes the number 1906 in Roman numerals? A) MDCCCCVI B) MCMVI C) MCMLVI D) MMXVI • Correct Answer: B) MCMVI • Rationale: Break down the number 1906: $1000 = text{M}$, $900 = text{CM}$ (100 before 1000), and $6 = text{VI}$. Combining them gives MCMVI. Convert the following military time to regular time: 15:17:52 hours A) 5:17:52 PM B) 3:17:52 AM C) 3:17:52 PM D) 1:17:52 PM • Correct Answer: C) 3:17:52 PM • Rationale: For military times greater than 12:00, subtract 12 hours to find the PM time: $15 - 12 = 3$. The minutes and seconds remain unchanged, giving 3:17:52 PM. Solve the following mathematical expression: $2 − 8 div (2^4 div 2) =$ A) 1 B) 0 C) -2 D) 1.5 • Correct Answer: A) 1 • Rationale: Follow the order of operations (PEMDAS): o First, clear the inner exponent: $2^4 = 16$. o Complete the parentheses: $16 div 2 = 8$. o Rewrite the equation: $2 - 8 div 8$. o Perform division before subtraction: $8 div 8 = 1$. o Finally, subtract: $2 - 1 = 1$. Solve the proportion to find the value of $x$: $$9:14 :: x:56$$ A) $x = 28$ B) $x = 45$ C) $x = 36$ D) $x = 42$ • Correct Answer: C) $x = 36$ • Rationale: Rewrite the proportion as equal fractions: $frac{9}{14} = frac{x}{56}$. Crossmultiply to solve for $x$: $14 cdot x = 9 cdot 56 implies 14x = 504 implies x = 504 div 14 implies x = 36$. Alternatively, notice that $14 times 4 = 56$, so multiplying $9 times 4$ gives 36. Approximately how many centimeters are there in one standard foot? A) 24.5 cm B) 30.5 cm C) 12.0 cm D) 100.0 cm • Correct Answer: B) 30.5 cm • Rationale: One inch equals exactly 2.54 cm. Since there are 12 inches in a foot, multiply: $12 times 2.54 = 30.48text{ cm}$, which rounds to 30.5 cm. Joe makes $20 an hour and Tim makes $30 an hour. How many hours more than Tim must Joe work to earn the same amount Tim makes in 4 hours? A) 6 hours B) 4 hours C) 3 hours D) 2 hours • Correct Answer: D) 2 hours • Rationale: First, determine how much Tim earns in 4 hours: $4 times $30 = $120$. Next, calculate how many hours Joe must work to earn that same $120: $$120 div $20 = 6text{ hours}$. Finally, find the difference in hours worked: $6text{ hours (Joe)} - 4text{ hours (Tim)} = 2text{ hours}$. Solve the following equation for $x$: $$3(x − 4) = 18$$ A) $x = 6$ B) $x = 10$ C) $x = 14$ D) $x = 9$ • Correct Answer: B) $x = 10$ • Rationale: Distribute the 3 or divide both sides by 3 first. Dividing by 3 gives: $x - 4 = 6$. Add 4 to both sides to isolate the variable: $x = 6 + 4 = 10$. There are 6,657 marbles in a jar. Approximately 34% are white, and the rest are black. How many black marbles are there? A) 2,263 B) 4,394 C) 4,120 D) 4,500 • Correct Answer: B) 4,394 • Rationale: If 34% are white, then the remaining percentage represents the black marbles: $100% - 34% = 66%$. Find 66% of the total marble count: $0.66 times 6657 = 4393.62$, which rounds to approximately 4,394 black marbles. At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how much change did he receive? A) $7.95 B) $12.05 C) $13.05 D) $11.15 • Correct Answer: B) $12.05 • Rationale: Calculate the total cost of the comic books: $3 times $2.65 = $7.95$. Subtract this total from the $20 bill to find his change: $$20.00 - $7.95 = $12.05$.