FREE Workkeys Applied Math Part 1 Questions and Answers
Peter enjoys racing. Two membership tiers are available at the nearby karting facility. The annual fee of the "Premium Plan" is $995 plus $0.25 for each lap. The annual cost of the "Standard Plan" is $495 plus $0.45 for each lap. Peter wants to complete 3,900 laps in the upcoming season. By choosing the "Premium Plan" over the "Standard Plan," how much money will he save?
Explanation:
The "Premium Plan" costs $995 plus $0.25 each lap multiplied by 3,900 laps for a total of $1,970.
The "Standard Plan" costs $495 plus $0.45 each lap multiplied by 3,900 laps for a total of $2,250.
He saves $280 by choosing the "Premium Plan," which is $2,250 minus $1,970.
On Monday, it was only -6 degrees Celsius at night. The temperature following the next day was 5 degrees Celsius. What is the difference between Monday and Tuesday's low temperatures?
Explanation:
We must calculate the difference between -6 and 5.
The distance between two numbers on a number line can be thought of as the difference between them.
Six "hops" are required on a number line to move from 6 to 0. Five "hops" are required to move from 0 to 5 on a number line.
Therefore, it requires 11 "hops" in total to go from 6 up to 5.
-6 degrees and 5 degrees are separated by 11 degrees.
In the store, Daniela spent $3.44 on candy and $2.37 on gum. She gave the cashier a dollar bill. What kind of change should she anticipate getting?
Explanation:
We must first figure out the total cost of the things purchased in order to calculate the change.
She spent $3.44 on top of $2.37. We calculate "2.37 + 3.44 = 5.81" using our calculator.
We must take the total of her purchases from the cash she handed the cashier in order to calculate the amount of change she received.
We utilize our calculator once more to determine "10 - 5.81 = 4.19".
Daniela can anticipate getting $4.19 in change.
Nancy rode the train for two hours and thirty minutes. How long did she ride the train for in total?
Explanation:
Given that we know there are 60 minutes in an hour, 2 hours would include 120 minutes (2 x 60 = 120).
We can use 120 minutes in place of the two hours.
She spent 120 minutes and 30 minutes on the train, according to this.
She rode the train for a total of 150 minutes ("120 + 30 = 150").
A deck is being built by Sandra. She possesses a lumber piece that is 8 feet, 4 inches long. She makes two short supports that are each 2 feet, 9 inches long from this piece. After constructing the two supports, how much of the original piece of lumber will be left (in inches), assuming no wood length is lost owing to the breadth of the cutting blade?
Explanation:
To calculate the amount of wood required to construct the two supports, we must first determine the length of the original piece of lumber, which must then be subtracted from the calculated amount.
The two supports' total wood requirements are as follows:
Each support measures 2 feet 9 inches tall.
It is usually simplest to convert the full quantity into the smaller unit when working with mixed units (for example, feet and inches). We were expressly informed that the final response for this particular issue should be presented in inches.
Since a foot measures 12 inches, two feet equal 24 inches.
2 ft 9 in = 2 ft + 9 in = 24 in + 9 in = 33 inches.
We require two of these 33-inch supports, therefore our total requirement is 2 x 33 inches, or 66 inches.
We must now calculate the original piece of lumber's length in We must now calculate the original piece of lumber's length in inches: 8 feet 4 inches
Since a foot measures 12 inches, 8 feet equals 8 x 12 or 96 inches.
8 ft 4 in = 8 ft + 4 in = 96 in + 4 in = 100 inches
We can now determine how much lumber is still available:
Length of original piece – length of two supports
100 in – 66 in = 34 inches
When the number of dogs is divided by the total number of animals at an animal shelter, the answer is 0.75. What percentage equivalent would this decimal have?
Explanation:
A decimal must be multiplied by 100 to become a percentage, which moves the decimal point two places to the right: 0.75 x 100 = 75%.
For three hours, Jason maintained a constant pace on his dirt bike. He covered a distance of thirty miles. During the journey, the dirt bike burned 1.5 gallons of fuel. What was the dirt bike's average speed?
Explanation:
We must divide the distance traveled by the time in order to calculate the average speed. To calculate a rate like "miles per hour," keep in mind that you must divide the number of miles by the number of hours. You can think of the "per" symbol as a divide sign.
He supposedly covered 30 miles in 3 hours.
"30 ÷ 3 = 10" can be calculated using a calculator.
Ten miles per hour was the average pace.
20 cases of eggs were ordered by Camp Granger. Each case contains a dozen (12) eggs. How many eggs in total were ordered?
Explanation:
We must count the eggs in each of the 20 groups of 12 eggs in order to find the overall number of eggs.
We can calculate ""20 x 12 = 240"" with our calculator.
Kevin earns a total of $75,000 per year. 4% of gross income is the state income tax. 22% of gross income is taxed at the federal level. How much in total (in dollars) does Kevin owe in federal and state income taxes?
Explanation:
State Income Tax = 4% of $75,000, or $3,000 ($0.04 x $75,000).
Federal Income Tax = 22% of $75k = 0.22 x $75k = $16,500
Combined Income Tax = $3,000Â + $16,500 = $19,500
180 plates are required for an event that Madison is planning. 20 plastic plates come in each bundle when purchasing plastic plates. How many sets of plates is she going to need?
Explanation:
We need to know how many times 20 may be divided by 180. Using our calculator, we divide 180 by 20 to arrive at this: 20 plates each package times 180 plates equals 9 packages.
A shipment of 15 boxes of delicate bulbs was just delivered to the receiving department. Every box contained 8 bulbs. Sadly, examination of the bulbs showed that 11 had been harmed in transit. How many bulbs that were received were unharmed?
Explanation:
We must first figure out how many bulbs in total we have got. We are aware that there were 15 boxes total, and that each box had 8 bulbs.
Using a calculator, we can calculate the total as "15 x 8 = 120".
We got 120 bulbs in total.
Of these 120 bulbs, 11 were known to be harmed. Using our calculator, we can calculate the quantity of unharmed bulbs as "120 - 11 = 109".
109 intact bulbs were delivered.
Customers are compensated by a certain business for their empty glass bottles. The business keeps the gathered bottles in crates for storage. Eight bottles fit in each crate. On a particular day, the first client arrives with 18 bottles, the second with 54 bottles, and the third with 24 bottles. What number of crates are required to store these bottles?
Explanation:
To start, we must count the total number of bottles:
18 + 54 + 24 = 96
The next step is to calculate the number of crates required to store the 96 bottles:
8 bottles each crate divided by 96 bottles is 12 crates.
Ben scored 3Â goals in the last 4Â games, which is equivalent to the fraction 3/4. What decimal form may be used to represent the same ratio?
Explanation:
Calculate the right response using your calculator. You can enter "3 ÷ 4" or the fraction "3/4" and then convert it to a decimal depending on the calculator you're using.
3/4=0.75
Aaron has been keeping track of how far his vehicle can go on a single charge. The measurements he made were 230 miles, 251 miles, 199 miles, and 226 miles. Based on the data gathered, how far can the car typically go on a single charge?
Explanation:
In order to calculate the average of a group of numbers, we must first calculate their sum and then divide it by the total number of the numbers. Since there are four numbers here, we shall divide the sum by four.
Calculate the following with your calculator: "230 + 251 + 199 + 226 = 906"
Next, multiply 906 by 4 using the calculator: "906 4 = 226.5"
The average range of the vehicle is 226.5 miles on a single charge.
The number of accidents that occurred in each of four separate years is depicted in the graph below. How many accidents happened overall throughout the four years illustrated?
Explanation:
When using a chart or graph, it's crucial to pay particular attention to the scale being utilized; in this case, each tick mark on the chart's x-axis represents two accidents.
We can see that the bar for 2015 goes above the number 4, but it is just halfway to the next tick mark. 5Â accidents are represented by this bar.
The bar shows 4 accidents during 2016.
The bar shows 9 accidents for the year 2017.
The bar depicts 10 accidents from 2018 in total.
We had a total of 5 + 4 + 9 + 10 = 28 accidents throughout the course of the four years.
There are four buttons on one control. The numbers on the screen are altered by pressing the buttons A, B, C, and D in that order: Button A subtracts 10, Button B subtracts 1, C adds 1, and Button D adds 10. The number 47 appears after pressing Button A once and Button C twice. What was the number that was shown before pressing the buttons?
Explanation:
When button C is pressed twice, the result is 2.
10 is subtracted by pressing Button A once.
Since 2 + 10 = 8, adding 2 and then subtracting 10 is equivalent to -8 straight away.
From our unknown number, we deduct 8, and the result is 47.
Our initial count must have been 55, or 8 higher than 47.