# HESI A2 Math Study Guide

## Math Basics

### Lesson 1: Operations Basics

- Addition and Subtraction
- Associative Property
- Distributive Property
- Exponents and Roots
- Integers, Decimals, and Fractions
- Multiplication and Division
- Order of Operations

### Lesson 2: Factors and Multiples

- Greatest Common Factor
- Least Common Multiple
- Multiples
- Multiples and Least Common Multiples
- Prime Numbers, Factoring, and Prime Factorization

### Lesson 3: Unit Conversions

## Fractions

### Lesson 1: Fraction Basics

- Changing Mixed Numbers to Improper Fractions
- Converting Improper Fractions to Mixed Numbers
- Fractions of a Whole
- Improper Fractions and Mixed Numbers
- Ordering Fractions

### Lesson 2: Fraction Operations

- Adding and Subtracting Fractions
- Converting Improper Fractions to Mixed Numbers and Decimals
- Converting Mixed Numbers to Decimals and Improper Fractions
- Converting Percentages to Decimals and Fractions
- Multiplying and Dividing Fractions

## Decimals

### Lesson 1: Decimal Basics

### Lesson 2: Decimal Operations

- Adding and Subtracting Decimals
- Changing a Number from Standard Form to Scientific Notation
- Converting Decimals to Fractions and Percentages
- Converting Decimals to Improper Fractions and Mixed Numbers
- Dividing Decimals
- Multiplying Decimals
- Scientific Notation

## Solving Equations

### Lesson 1: Equation Basics

- Absolute Value
- Arithmetic Sequences and their Formulas
- Solving Equations Using All Four Basic Operations
- Solving Equations Using Addition and Subtraction
- Solving Equations Using Multiplication and Division
- Solving Equations with Absolute Value

### Lesson 2: Inequalities

- Equations and Inequalities
- Graphing Solutions to Linear Inequalities
- Linear Inequalities
- Solving Absolute Value Inequalities
- Solving Inequalities Using All Four Basic Operations

### Lesson 3: Linear System of Equations

- Comparison of Methods for Solving Systems of Equations
- Linear Equations Basics
- System of Linear Equations
- System of Equations Basics

### Lesson 4: Graphing of Linear Equations and Functions

- Changing Constants in Graphs of Functions: Linear Functions
- Changing Constants in Graphs of Functions: Quadratic Equations
- Graphing Absolute Value Equations
- Graphing Linear Equations
- Graphing the Inverse of a Function
- Graphs of Functions
- Solutions of a Quadratic Equation on a Graph
- Using a Graph

### Lesson 5: Word Problems

- Right Triangle Word Problems
- Word Problems and Addition
- Word Problems and Division
- Word Problems and Multiplication
- Word Problems and Subtraction

## Geometry

### Lesson 1: Angle Basics

### Lesson 2: Triangles

- Area and Perimeter of a Triangle
- Measurements for Similar Triangles
- Measurements for Similar Triangles – Continued
- Proof that a Triangle is 180 Degrees
- Similar Triangles

### Lesson 3: Circles

- Area and Circumference of a Circle
- Finding Measurements for Parts of a Circle
- Unit Circles and Standard Position

### Lesson 4: Volume and Surface Area of 3D Shapes

- 3D Geometric Shapes
- Volume and Surface Area of a Cube
- Volume and Surface Area of a Pyramid
- Volume and Surface Area of a Rectangular Solid
- Volume and Surface Area of a Circular Cone
- Volume and Surface Area of a Circular Cylinder
- Volume and Surface Area of a Sphere

## Probability, Statistics, Percentages, Ratios, and Proportions

### Lesson 1: Probability

### Lesson 2: Percentages, Ratios, and Proportions

- Calculation of a Percentage
- Computation with Percentages
- Finding the Percentage Decrease
- Finding the Percentage Increase
- Percentages
- Proportions
- Proportions and Percents
- Proportions in the Real World
- Ratios and Percentages

## HESI A2 Basic Math Skills Review

Not all nursing programs require applicants to take the Basic Math Skills portion of the HESI exam, but most do. That’s because possessing good math skills is extremely important for anyone who hopes to work in any area of health care, including nursing. Nurses use math every day they’re on the job, and throughout the entire work day. Of course, it’s obvious that a nurse needs to know how to perform the rudimentary math functions of adding, subtracting, multiplying, and dividing. What isn’t so obvious are the many other ways math skills are critical in nursing.

For example, if you’re a nurse, being able to understand the metric system is vital, as is being able to quickly convert metric measurements to the English system of measurements. Being able to quickly and accurately calculate important numbers such as ovulation dates, body mass index, or glycemic index will also be important. When administering an IV drip manually, it’s critical that the nurse be able to know exactly how many drops to administer and at what rate. Drug titration is another area where math skills are crucial, as the dosage must be constantly monitored and adjusted based on various factors. Of course, since math plays such an important role in nursing, it follows that it’s also going to play a large role in a nursing education. Nursing schools use the HESI A2 Basic Math exam to measure your knowledge and aptitudes in this area, so your score on this part of the HESI can be a decisive factor in whether your nursing school application is accepted. To ensure that you do well on the math portion, we offer HESI A2 Math practice questions to give you a preview of the types of questions you may encounter.

## What’s on the HESI A2 Basic Math Skills Test?

The exam consists of 55 questions. Five of these questions will only be on the test as part of research and development for possible permanent inclusion on newer versions of the HESI, and your answers on these questions won’t count toward your score. There will be no way of knowing which questions are which, however, so do your best on each one. Elsevier, the test developer, recommends a time limit of 50 minutes for the HESI Math. Most nursing schools stick with that recommendation, but some don’t, so make sure you verify the time limit before test day. You are not allowed to bring a calculator into the testing room, but you will be provided with one you can use if you need to.

As the name of the section makes clear, the questions cover a wide range of basic math topics. Don’t worry about advanced math material such as calculus, algebra, trigonometry, etc. Those topics won’t come up. Once you’re in nursing school, you may have some advanced math classes, but for the HESI A2 you won’t need to know the higher level subjects.

Here are many of the topics you can expect to see on the HESI Math exam:

Working with whole numbers – the basics of addition, subtraction, multiplication, and division, etc.

Fractions – how to form them, how to add, subtract, multiply, and divide them (even when their denominators aren’t the same), how to express them as percentages, how to convert them into decimals, mixed fractions, etc.

Percentages – how to derive percentages, what they mean, how to convert them into fractions, how to express them as decimals, how to add, subtract, multiply, and divide with them, etc.

Decimals – what numbers in decimal form represent, how to read them, how to determine the proper placement of the decimal point, how to add, subtract, multiply, and divide decimals, how to convert them into fractions, how to express them as percentages, etc.

Ratios and proportions – you’ll need to understand what these are, how they relate to each other, and how to solve problems that ask you to derive one or the other, etc.

General math skills – you’ll see questions about everyday skills like balancing a checkbook, reading a label on a medicine bottle for the correct dose, common measurements such as quarts, pounds, ounces, gallons, pints, and how they relate to each other, etc.

Many people develop anxiety over the HESI A2 Basic Math Skills exam. This is understandable, because the stakes are high, and a poor score can be devastating. However, you shouldn’t panic, because with proper preparation and regular review you should be able to achieve a high score on the Math part of the HESI. Use the free HESI Basic Math videos here on Mometrix Academy to review and prepare so you’re completely ready for the test. You’ll find the links at the top of this page.