The ACT® WorkKeys Applied Mathematics test measures practical math skills needed in various job roles. This test evaluates your ability to solve real-world problems involving numbers, algebra, geometry, and data analysis. Mastering these skills is crucial for career readiness and can significantly enhance job performance and opportunities for advancement.

This guide will cover key concepts in applied mathematics, provide a comprehensive study plan, and offer strategies for succeeding on the WorkKeys applied math test. Afterward, with the right preparation, you’ll be well-equipped to excel on the WorkKeys applied mathematics assessment.

Understanding the WorkKeys Applied Mathematics Test

What is the WorkKeys Applied Math Test?

The ACT® WorkKeys Applied Mathematics test is part of the ACT® WorkKeys assessment system. Specifically, it evaluates math skills needed for work-related tasks.

This test measures how well you can use math to solve real-world problems at work. It’s different from school math tests because it focuses on practical applications.

Key Skills Assessed

• Number Operations: Basic math like adding, subtracting, multiplying, and dividing.
• Algebra: Solving simple equations and understanding formulas.
• Geometry and Measurement: Working with shapes, areas, volumes, and measurements.
• Applied Reasoning: Data analysis and problem-solving strategies.

Importance for Job Performance and Career Growth

Doing well on this test shows you can handle math tasks at work. This can help you perform better on the job and advance your career. Employers like these skills because they show you can solve problems and be productive.

Unlike other job tests focusing on general skills or specific technical knowledge, the WorkKeys Applied Mathematics test checks how well you use math in real job situations. This makes it useful for many jobs, from factory work to healthcare.

What’s on the ACT® WorkKeys Applied Math Test?

Topics and Format

The ACT® WorkKeys Applied Mathematics test measures your ability to solve real-world math problems using critical thinking and problem-solving skills.

The test features 34 multiple-choice questions delivered either online or on paper, with a time limit of 55 minutes. Questions are based on real-world scenarios, requiring you to apply math skills to solve practical problems. Calculators and conversion tables are allowed, but understanding the math concepts is critical.

Scoring Methodology and Levels

Your performance on the ACT® WorkKeys Applied Math test is scored from Level 3 to Level 7. Furthermore, each level reflects your ability to handle increasingly complex math problems:

• Level 3: Basic math skills for simple problems. You can convert fractions to decimals, add prices, and calculate change. Suitable for entry-level jobs.
• Level 4: Intermediate skills. You can interpret simple charts, calculate averages, and solve problems with unnecessary information. Fits mid-level positions.
• Level 5: Advanced intermediate skills. You solve multi-step problems, convert units, and calculate percentages. Ideal for more complex job roles.
• Level 6: High-level skills. You handle multiple-step conversions, identify calculation mistakes, and calculate areas and volumes of shapes.
• Level 7: Expert skills. You solve problems with unusual formats, incomplete information, and advanced calculations, such as volumes of complex shapes and applying statistical concepts.

Understanding these levels helps you focus your study efforts and gauge the complexity of problems you must master.

Preparation Strategies

Effective Study Techniques

When preparing for the ACT® WorkKeys Applied Math test, it’s essential to use strategies that help you master the material and improve your test-taking skills. Here are some effective techniques:

1. Using Practice Tests:
   • Taking practice tests is a top strategy for success. Not only do they familiarize you with the question types and format, but you can also use them to see where you excel and where you need more practice. The ACT® official site offers practice tests that closely mirror the real exam.
2. Reviewing Key Mathematical Concepts:
   • Brush up on essential math skills like basic operations, algebra, geometry, and data interpretation. Understanding these core concepts is crucial for solving test problems efficiently.
3. Time Management Strategies:
   • Effective time management is key during the test. Practice answering questions within a set time to boost your speed and accuracy. This will help you pace yourself during the actual test and ensure you complete all questions on time.

Recommended Resources

• ACT® Official Guides:
  • The ACT® official site provides a wealth of resources, including practice tests, study guides, and detailed explanations of test content. These materials are specifically designed to help you prepare for the WorkKeys Applied Math test and are a reliable source of information.
• Explore Online Resources:
  • Many websites offer additional practice problems and study aids. Look for reputable platforms that provide leveled math exercises and practice questions.
• Join Study Groups:
  • Joining study groups can be very beneficial. Discussing problems, sharing solutions, and learning from others can help reinforce your understanding.
• Use Math Apps:
  • Various apps offer practice questions and interactive exercises. These can be a fun and convenient way to enhance your math skills on the go.

Practice Problems and Solutions

Getting ready for the ACT® WorkKeys Applied Math test means practicing the types of problems you’ll encounter. So, let’s walk through sample questions from each level, provide step-by-step solutions, and offer tips to tackle similar problems effectively.

Sample Questions for the ACT® WorkKeys Applied Math Test

Level 3: Basic Operations Example

Question: You are working in a store. The current stock of apples is 20 units. The manager asks you to increase the stock by 15 units. What will be the new stock level?

Solution:

First, identify the current stock. Start by noting that the current stock of apples is 20 units. Then, determine the operation. This task requires adding more units to the current stock, so you will use addition. Next, identify the amount to increase. The manager has asked for an increase of 15 units. Add the current stock to the increased amount to calculate the new stock level.

20 + 15 = 35

The new stock level of apples will be 35 units.

Level 4: Ratios Example

Question: You manage a coffee shop. The instructions for making a special blend call for 5 ounces of espresso beans for every 20 ounces of water. If you want to use 50 ounces of water, how many ounces of espresso beans should you add?

Solution:

Let’s start by identifying the ratio. The instructions specify 5 ounces of espresso beans per 20 ounces of water. You plan to use 50 ounces of water. The ratio is 5 ounces of beans to 20 ounces of water, so you need to find out how many ounces of beans are needed for 50 ounces of water. To do this, use the proportion:

\dfrac{5}{20} = \dfrac{x}{50}

Lastly, multiply 5 by 50 and then divide by 20. This gives you:

\dfrac{5 \times 50}{20} = 12.5

You need 12.5 ounces of espresso beans for 50 ounces of water to maintain the correct ratio.

Level 5: Unit Conversions Example

Question: You are managing a shipping company. Over four days, your team shipped a total of 16.8 tons of goods. If there are 2{,}000 pounds in a ton and your team shipped the same amount of goods each day, how many pounds of goods did your team ship per day?

Solution:

First, identify the total weight in tons. The total weight shipped is 16.8 tons, as stated in the prompt. The goods were shipped over four days. To convert tons to pounds, multiply the total weight in tons by the number of pounds in a ton.

16.8 \text{ tons} \times 2{,}000\text{ pounds per ton} = 33{,}600\text{ pounds}

Next, divide the number of pounds by the number of days to determine the rate per day.

\dfrac{33{,}600}{4} = 8{,}400 \text{ pounds per day}

The team ships 8{,}400 pounds per day.

Level 6: Geometric Measurement Example

Question: You are in charge of designing fish tanks for a pet store. The tanks are shaped like rectangular prisms. One of the tanks you are considering is 5 feet wide, 8 feet long, and 4 feet tall. How many cubic feet of water can the tank hold when completely full?

Solution:

Start by identifying the dimensions of the tank. The tank is 5 feet wide, 8 feet long, and 4 feet tall. Then, determine the formula for volume. The volume of a rectangular prism is found by multiplying its width, length, and height. Next, perform the multiplication by multiplying the width, length, and height.

5\text{ feet} \cdot 8\text{ feet} \cdot 4\text{ feet} = 160\text{ cubic feet}

The result is the total number of cubic feet of water the tank can hold when completely full.

Level 7: Advanced Reasoning Example

Question: You are an architect designing a circular fountain for a public park. To purchase the materials, you must know the area of the fountain. The city wants the diameter of the fountain to be 50 feet. You initially calculated the fountain area to be 7{,}854 square feet. Is this the correct area? If not, what was the likely error?

Solution:

To solve this question, you should first attempt to calculate the correct found area. Start by identifying the diameter. The diameter of the fountain is 50 feet. The area of a circle is \pi r ^2. The radius is half of the diameter, so 50 feet divided by 2 equals 25 feet.

Now, we can calculate the area:

A = \pi r^2 = \pi \cdot 25^2 =\pi \cdot 625 = 1{,}963.5 \text{ square feet}

Now, we can compare the calculations. The initial calculation was 7{,}854 square feet, but the correct area is 1{,}963.5 square feet. The error was not dividing the diameter by two to find the radius first. The correct area of a circular fountain with a 50 foot diameter is about 1{,}964 square feet.

Tips for Solving Similar Problems

1. Read Questions Carefully:
   • First, make sure you understand what the question is asking before you start solving it. Misreading can lead to incorrect answers.
2. Show Your Work:
   • Writing out each step helps ensure you don’t miss anything and makes it easier to review your answers.
3. Check Your Answers:
   • Always double-check your calculations to catch any mistakes.
4. Practice Regularly:
   • Consistent practice helps reinforce your understanding and improve your speed.

Common Mistakes to Avoid

1. Misreading the Question:
   • Carefully read all parts of the question to understand what is required.
2. Skipping Steps:
   • Even if you think a step is simple, write it down. This helps avoid errors and makes them easier to catch.
3. Rushing:
   • Take your time to think through the problem and plan your approach before jumping to a solution.
4. Ignoring Units:
   • Always pay attention to units, especially geometry and measurement problems, to ensure your answers are accurate.

By practicing these types of problems and following these tips, you’ll be well-prepared for the WorkKeys Applied Mathematics test. This preparation will help you tackle the test with confidence and accuracy.

Test Day Tips For the ACT® WorkKeys Applied Math Test

How to Manage Test Anxiety

Feeling anxious before a test is normal. Here are some tips to help:

• Practice Relaxation Techniques: Deep breathing, visualization, and meditation can calm your nerves.
• Get a Good Night’s Sleep: Ensure you are well-rested before test day.
• Stay Positive: Focus on your preparation and remind yourself that you’re ready.

Time Management During the Test

Managing your time well is crucial:

• Read Instructions Carefully: Take a few seconds to understand each question.
• Pace Yourself: Allocate time based on the number of questions. Don’t linger too long on any one question.
• Review, if Time Allows: If you finish early, go back and check your answers.

Checklist of Items to Bring and Avoid on Test Day

Bring:

• Valid ID: Make sure it’s up-to-date and acceptable.
• Calculator: Check the ACT® guidelines for permitted types.
• Pencils and Erasers: Bring several sharpened pencils and good erasers.

Avoid:

• Electronic Devices: Phones, smartwatches, and other electronics are not allowed.
• Study Materials: These should be left outside the test room.

What to Expect at the Test Center

Arrive at least 15 minutes early to find your room and settle in. You’ll need to show your ID and any other required documents at check-in. Once seated, listen carefully to the proctor’s instructions before starting the test.

Real-World Applications

How Applied Mathematics is Used in Various Careers

Applied mathematics plays a vital role in many jobs. For example:

• Engineering: Calculating dimensions, forces, and materials.
• Healthcare: Analyzing data, calculating dosages, and interpreting medical statistics.
• Finance: Managing budgets, analyzing financial data, and forecasting trends.

As you can see, mastering this test can enhance your job performance, increase job opportunities, and promote career growth. Improved math skills make you more efficient and accurate in your work, which employers highly value.

Your 1-Month Study Guide

Are you ready to get started? Here’s a recommended study schedule to cover all key topics and practice effectively for the WorkKeys Applied Mathematics test:

Weekly Study Schedule

Day	Focus Area	Study Time
Week 1
Day 1-2	Basic Math Operations (Addition, Subtraction, Multiplication, Division)	1 hour each day
Day 3-4	Working with Fractions	1 hour each day
Day 5-6	Percentages, Ratios, and Proportions	1 hour each day
Day 7	Rest Day
Week 2
Day 8-9	Unit Conversions	1 hour each day
Day 10-11	Geometric Measurement (Shapes, Areas, Volumes)	1 hour each day
Day 12-13	Applied Math Reasoning	1 hour each day
Day 14	Rest Day
Week 3
Day 15-16	Data Interpretation (Charts and Graphs)	1 hour each day
Day 17-18	Data Analysis and Calculations	1 hour each day
Day 19-20	Combined Data Interpretation and Math Problems	1 hour each day
Day 21	Rest Day
Week 4
Day 22-23	Full-Length Practice Tests	1 hour each day
Day 24	Rest Day
Day 25-26	Review Incorrect Answers	1 hour each day
Day 27-28	Focus on Weak Areas	1 hour each day

Additional Tips

• Daily Review: Spend 15 minutes each day reviewing what you studied the previous day.
• Rest Days: Take breaks as needed to avoid burnout. Consider light review or relaxation on rest days.
• Resources: Use ACT® official guides and online resources for practice questions and explanations.

Following this four-week study guide and using the schedule above will prepare you for the WorkKeys Applied Mathematics test.

Need help preparing for the ACT® WorkKeys Applied Math Test?

Albert has hundreds of ACT® WorkKeys practice questions and full-length practice tests to try out.