Math Hesi A2 Practice Test

Conquer the Math HESI A2: A Comprehensive Practice Test and Study Guide

The HESI A2 exam is a crucial hurdle for many aspiring healthcare professionals. Its math section, in particular, can be daunting for those who haven't practiced recently or feel rusty on fundamental concepts. This comprehensive guide provides a practice test mirroring the difficulty and content of the actual HESI A2 math section, coupled with detailed explanations to solidify your understanding. Mastering these concepts will significantly boost your confidence and improve your chances of success. We'll cover everything from basic arithmetic to more advanced topics like algebra and geometry, equipping you with the tools you need to achieve a high score.

Understanding the HESI A2 Math Section

Before diving into the practice test, it's vital to understand the structure and scope of the HESI A2 math section. This section typically assesses your proficiency in various mathematical concepts, including:

• Basic Arithmetic: This includes operations with whole numbers, fractions, decimals, and percentages. Expect questions involving addition, subtraction, multiplication, division, and order of operations (PEMDAS/BODMAS).

• Algebra: You'll encounter problems involving solving equations and inequalities, working with variables, and understanding basic algebraic principles. This may also include working with exponents and radicals.

• Geometry: This section often tests your knowledge of shapes, their properties, and formulas for calculating area, perimeter, and volume. Expect questions related to triangles, rectangles, circles, and other common geometric figures.

• Data Analysis: This component focuses on interpreting data presented in graphs, charts, and tables. You'll need to be able to extract relevant information and answer questions based on the presented data.

• Word Problems: A significant portion of the HESI A2 math section involves word problems, requiring you to translate real-world scenarios into mathematical equations and solve them.

The questions are designed to test your problem-solving skills and ability to apply mathematical concepts in practical contexts. Accuracy and efficiency are key to achieving a high score within the allotted time.

HESI A2 Math Practice Test

Now, let's put your knowledge to the test with a sample practice exam. Remember to work through each problem carefully and show your work. The answers and detailed solutions are provided at the end.

Instructions: Solve the following problems. Show your work where possible. You have 60 minutes to complete this test.

1. Simplify the expression: 3(4 + 2) - 5 × 2 + 8 ÷ 2

2. What is 25% of 80?

3. Solve for x: 2x + 7 = 15

4. If a rectangle has a length of 12 cm and a width of 5 cm, what is its area?

5. What is the perimeter of a square with sides of length 7 inches?

6. A patient's blood pressure is measured at 120/80 mmHg. What is the difference between the systolic and diastolic pressure?

7. A nurse administers 250 mg of a medication every 6 hours. How many milligrams of medication will the patient receive in 24 hours?

8. Solve the inequality: x - 3 > 5

9. What is the average of the following numbers: 10, 15, 20, 25?

10. A circle has a radius of 5 cm. What is its circumference (use π = 3.14)?

11. A recipe calls for 2 cups of flour to make 12 cookies. How many cups of flour are needed to make 36 cookies?

12. Solve for x: (x/4) + 2 = 6

13. Simplify the fraction: 12/18

14. Convert the fraction 3/4 to a decimal.

15. If a train travels at a speed of 60 miles per hour, how far will it travel in 2.5 hours?

Answers and Detailed Explanations

1. Simplify the expression: 3(4 + 2) - 5 × 2 + 8 ÷ 2

Following the order of operations (PEMDAS/BODMAS):

• Parentheses/Brackets first: 3(6) - 5 × 2 + 8 ÷ 2
• Multiplication and Division (from left to right): 18 - 10 + 4
• Addition and Subtraction (from left to right): 8 + 4 = 12

Answer: 12

2. What is 25% of 80?

To find 25% of 80, multiply 80 by 0.25 (which is the decimal equivalent of 25%). 80 × 0.25 = 20

Answer: 20

3. Solve for x: 2x + 7 = 15

Subtract 7 from both sides: 2x = 8 Divide both sides by 2: x = 4

Answer: x = 4

4. If a rectangle has a length of 12 cm and a width of 5 cm, what is its area?

Area of a rectangle = length × width = 12 cm × 5 cm = 60 cm²

Answer: 60 cm²

5. What is the perimeter of a square with sides of length 7 inches?

Perimeter of a square = 4 × side length = 4 × 7 inches = 28 inches

Answer: 28 inches

6. A patient's blood pressure is measured at 120/80 mmHg. What is the difference between the systolic and diastolic pressure?

The difference is 120 mmHg - 80 mmHg = 40 mmHg

Answer: 40 mmHg

7. A nurse administers 250 mg of a medication every 6 hours. How many milligrams of medication will the patient receive in 24 hours?

In 24 hours, the medication is administered 24 hours / 6 hours/dose = 4 doses. Total medication = 4 doses × 250 mg/dose = 1000 mg

Answer: 1000 mg

8. Solve the inequality: x - 3 > 5

Add 3 to both sides: x > 8

Answer: x > 8

9. What is the average of the following numbers: 10, 15, 20, 25?

Sum of numbers = 10 + 15 + 20 + 25 = 70 Average = Sum / Number of values = 70 / 4 = 17.5

Answer: 17.5

10. A circle has a radius of 5 cm. What is its circumference (use π = 3.14)?

Circumference = 2 × π × radius = 2 × 3.14 × 5 cm = 31.4 cm

Answer: 31.4 cm

11. A recipe calls for 2 cups of flour to make 12 cookies. How many cups of flour are needed to make 36 cookies?

The ratio of flour to cookies is 2 cups : 12 cookies, which simplifies to 1 cup : 6 cookies. To make 36 cookies, you need 36 cookies / 6 cookies/cup = 6 cups of flour.

Answer: 6 cups

12. Solve for x: (x/4) + 2 = 6

Subtract 2 from both sides: x/4 = 4 Multiply both sides by 4: x = 16

Answer: x = 16

13. Simplify the fraction: 12/18

Find the greatest common divisor (GCD) of 12 and 18, which is 6. Divide both numerator and denominator by 6: 12/6 = 2 and 18/6 = 3. Simplified fraction: 2/3

Answer: 2/3

14. Convert the fraction 3/4 to a decimal.

Divide the numerator (3) by the denominator (4): 3 ÷ 4 = 0.75

Answer: 0.75

15. If a train travels at a speed of 60 miles per hour, how far will it travel in 2.5 hours?

Distance = speed × time = 60 miles/hour × 2.5 hours = 150 miles

Answer: 150 miles

Further Practice and Study Strategies

This practice test provides a good starting point, but consistent practice is crucial for success. Here are some effective strategies to enhance your preparation:

• Identify Weak Areas: After reviewing the answers and explanations, pinpoint the areas where you struggled the most. Focus your study efforts on those specific topics.

• Use Multiple Resources: Supplement this practice test with additional practice problems from textbooks, online resources, and HESI A2 preparation materials.

• Practice Time Management: Simulate the actual exam conditions by setting a timer and working through practice problems under time constraints.

• Review Fundamental Concepts: If you struggle with basic arithmetic, fractions, or decimals, dedicate time to reviewing these fundamental concepts. A solid foundation is essential for tackling more complex problems.

• Seek Help When Needed: Don't hesitate to seek assistance from teachers, tutors, or study groups if you're struggling with specific concepts.

Frequently Asked Questions (FAQ)

Q: What type of calculator is allowed on the HESI A2 math exam?

A: The HESI A2 exam does not allow the use of calculators. You must be comfortable performing calculations manually.

Q: What is the passing score for the HESI A2 math section?

A: The passing score varies depending on the institution. Check with your specific nursing program for their requirements.

Q: How can I improve my word problem-solving skills?

A: Practice translating word problems into mathematical equations. Identify the key information, assign variables, and write down the relevant formulas. Work through many different types of word problems to build your confidence and problem-solving skills.

Q: Are there any specific topics I should prioritize in my studies?

A: While all topics are important, focus on areas where you feel less confident. Pay particular attention to fractions, decimals, percentages, solving equations, and interpreting data from graphs and charts.

Conclusion

Conquering the HESI A2 math section requires dedicated effort and strategic preparation. By utilizing this practice test, understanding the concepts thoroughly, and practicing regularly, you'll significantly improve your chances of success. Remember that consistent effort and a positive attitude are key to achieving your goals. Good luck!