ACT WorkKeys Applied Mathematics Free Practice Test

## What Is the WorkKeys Applied Mathematics Test?

The ACT WorkKeys applied math test assesses numerical reasoning and problem-solving techniques required in the workplace. As such, the questions are based on real-life scenarios that employees experience daily.

The test has 5 difficulty levels, ranging from 3 to 7. The levels are built on top of one another, each incorporating the skills assessed in the previous level. Thus, in level 6, you will need the skills from levels 4 and 5.

You will have 55 minutes to answer 34 questions.

You are allowed to use a calculator and the ACT WorkKeys formula sheet.

This section of the WorkKeys test can be administered by computer or pencil-and-paper, depending on the testing center you registered at. ## WorkKeys Applied Mathematics Test – Level 3 Questions

In level 3 of the WorkKeys applied math test, you will be presented with word problems that need to be translated into math equations. You will be given all the information you need in a logical order, and you will need to demonstrate numerical skills such as converting fractions and converting between decimals and percentages.

View all level 3 skills
• Solving problems that require one type of operation, such as adding and subtracting
• Converting fractions
• Converting between decimals and percentages
• Converting units
• Adding prices to products and calculating the change

Let's see how it looks –

• ### WorkKeys Applied Mathematics Test Level 3 – Practice Question #1

Three elephants drank 250 gallons of water in two days. Elephant A drank the same amount of water each day. On the second day, Elephant B drank three gallons less than on the first day, and elephant C drank three gallons more than on the first day. How many gallons did the elephants drink on the second day?

• ### WorkKeys Applied Mathematics Test Level 3 – Practice Question #2

A college fraternity planned a three-day study marathon. On the first day, they studied 75% of the time, ate for 3 hours, and slept the rest of the time. On the second day, they studied 50% of the time, ate for 4 hours, and slept the rest of the time. On the third day, they slept 1⁄3 of the time. How many hours in total did the fraternity members sleep during the three days?

Note that one day contains 24 hours.

## WorkKeys Applied Mathematics Test – Level 4 Questions

In addition to the type of questions you answered in level 3, you will be presented with questions in which the information can be out of order or include extra and unnecessary information and questions, which can include graphs. You will need to demonstrate numerical skills such as evaluating ratios, rates, and proportions, and calculating averages of a set of numbers.

View all level 4 skills
• Solving problems that require two mathematical operations
• Calculating averages and means of a set of numbers
• Evaluating ratios, rates, and proportions
• Adding and subtracting fractions with a common denominator
• Multiplying mixed numbers by whole numbers or decimals
• Organizing information in the correct order before calculating

Let's check it out –

• ### WorkKeys Applied Mathematics Test Level 4 – Practice Question #1

Dan took a two-hour walk around a round lake. The radius of the lake is 6 feet. What was Dan's average speed?

• ### WorkKeys Applied Mathematics Test Level 4 – Practice Question #2

The ingredients for a barrel of moisturizer are: 7⁄8 of a gallon glycerin, 1⁄4 of a gallon alcohol, 3⁄4 of a gallon fruit oil, and 4⁄32 of a gallon fragrance. In the perfume shop, the workers divided barrels into 70 bottles. After a week, 52 bottles remained unsold. From the remaining bottles, the workers created 70 cream jars.

What is the moisturizer volume of one jar of cream?

## WorkKeys Applied Mathematics Test – Level 5 Questions

In addition to the type of questions you answered in levels 3 and 4, you will be presented with questions that may require several calculations and logical steps. You will need to demonstrate numerical skills such as adding and subtracting fractions with different denominators and calculating percentages.

View all level 5 skills
• Deciding which information, calculations, and conversions to use to solve the problem
• Adding and subtracting fractions with different denominators
• Converting units within and between systems of measurements
• Solving problems with mixed units
• Calculating perimeters, areas, and circumferences of shapes
• Calculating percentages
• Identifying mistakes in calculations

Let's view practice questions –

• ### WorkKeys Applied Mathematics Test Level 5 – Practice Question #1

There are 25 monkeys in the zoo. The average weight of of those monkeys is 100 pounds, and the average weight of the rest of them is 75 pounds. What is the average weight of all the monkeys in the zoo in pounds?

• ### WorkKeys Applied Mathematics Test Level 5 – Practice Question #2

A pencil is sketched using a rectangle and an isosceles triangle. The length of the pencil is 12 inches. The length of the rectangular section is five times longer than its width, and the height of the triangle is 2 inches. What is the perimeter of the pencil? ## WorkKeys Applied Mathematics Test – Level 6 Questions

In addition to the type of questions you answered in levels 3 to 5, you will be presented with questions that may require translation from verbal to mathematical expression and multiple-step calculations. You will need to demonstrate numerical skills such as calculating reverse percentages and converting units within and between systems of measurement.

View all level 6 skills
• Using fractions with different denominators
• Calculating reverse percentages
• Converting units within and between systems of measurements using multi-step calculations
• Identifying mistakes in solutions
• Finding the area of shapes by converting measurements and units and rearranging formulas
• Calculating the volume of rectangular solids
• Calculating rates, productions rates, and rates by time
• Identifying the correct equation to solve a question

Let's solve some practice questions –

• ### WorkKeys Applied Mathematics Test Level 6 – Practice Question #1

Boston Fall is a new self-service salad restaurant. Dan went to the restaurant and asked for half a cucumber, one large potato, two carrots, three onions, three tomatoes, and one corncob.

The cost of one cucumber is a dollar; one large potato is 1⁄2 a dollar; one carrot is 3⁄4 of a dollar; one onion is 1⁄8 of a dollar; one tomato is 2 1⁄3 dollars; and one corncob is 3⁄8 of a dollar.

Dan came back with two friends: Michael asked for the same ingredients in his salad but with half the amount of each vegetable, and Brian asked for the same ingredients but with triple the amount of each vegetable. Dan offered to pay for everything.

What is the difference between the price Dan paid for the three salads and the price Dan would have paid for his salad only?

• ### WorkKeys Applied Mathematics Test Level 6 – Practice Question #2

Dan is diving in El-Nido in the Philippines. He starts his dive from a boat five meters above sea level (0 meters), and he is descending two meters each minute.
Which of the following describes Dan’s dive as a function of elevation and time?

## WorkKeys Applied Mathematics Test – Level 7 Questions

In addition to the type of questions you answered in levels 3 to 6, you will be presented with questions with missing or implicit information. You will need to demonstrate numerical skills such as converting between units of measurement using fractions, decimals, and percentages and calculating the volumes of cones, spheres, and cylinders.

View all level 7 skills
• Solving fraction problems that include rates, ratios, and proportions
• Identifying the reason for a mistake
• Converting between units of measurement using percentages, decimals, fractions, and mixed numbers
• Calculating the volumes of cylinders, cones, and spheres
• Calculating volumes by converting units and rearranging formulas
• Manipulating and arranging fractions-related rates, rations, and proportions
• Determining the preferred economic value of alternatives by using graphics, interpreting the measurements of tolerance and spread, and determining percentage differences.

Let's see how it looks –

• ### WorkKeys Applied Mathematics Test Level 7 – Practice Question #1

Nancy is planning a ring-shaped pool for a new hotel in Florida. The outer diameter of the pool is 100 feet. If the pool has an area of square 1600π ft., which of the following is its inner diameter (the diameter of the dry area)? • ### WorkKeys Applied Mathematics Test Level 7 – Practice Question #2

Twenty gallons of olive oil were poured into two containers of different sizes. g gallons were poured into the larger container and the rest into the smaller container. The smaller container was then divided equally into two cans, labeled can A and can B. gallons of olive oil to can B.

Express the amount of olive oil in can B after the addition. Think you got it? Check out our full WorkKeys practice test

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JobTestPrep's WorkKeys assessment test PrepPack, walks you through practice tests from level 3 to 7, sharpening the specific skills for each level.

## WorkKeys Applied Mathematics Test Solving and Preparation Tips If you don’t know the answer, guess!
The WorkKeys Applied Mathematics Test score is based on the number of correct answers and is not reduced by incorrect answers. So, if you can't figure it out, you can guess and move on. Ensure you read the question with extra attention, especially at the higher difficulty levels, where deliberately unnecessary and misleading information is designed to distract you. Use every means necessary
You are allowed to use a calculator and a formula sheet. Even if you can reach the answer on your own, you still have limited time, and as the test goes on, it becomes more difficult.  So don't waste your time on the first levels; you will need it later. Prepare for the right questions
The WorkKeys Applied Mathematics test has particular numerical problems that assess your work-related skills. Thus, you should prepare for these questions and not waste your energy on generic numerical reasoning practice tests, which may be good for general numerical practice but not for what you ware likely to encounter on this test.

JobTestPrep's WorkKeys assessment test PrepPack will provide you with all the tools needed to ace each of the 7 levels of the WorkKeys Applied Math test. 