Workkeys Applied Math Part 1 — Questions and Answers

Question 1: 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?

11 degrees (Correct answer)
1 degree
30 degrees
6 degrees
−1 degrees

Correct answer: 11 degrees

To find the difference between two temperatures, you subtract the lower temperature from the higher one. The difference between 5 degrees Celsius and -6 degrees Celsius is calculated as 5 - (-6). Subtracting a negative number is equivalent to adding its positive counterpart, so 5 + 6 equals 11 degrees. This represents the total span of temperature change from -6 to +5.

Question 2: 20 cases of eggs were ordered by Camp Granger. Each case contains a dozen (12) eggs. How many eggs in total were ordered?

32
120
180
200
240 (Correct answer)

Correct answer: 240

To find the total number of eggs, you need to multiply the number of cases by the number of eggs in each case. Since there are 20 cases and each case contains a dozen (12) eggs, the calculation is 20 multiplied by 12. This results in a total of 240 eggs ordered.

Question 3: Ben scored 3 goals in the last 4 games, which is equivalent to the fraction 3/4. What decimal form may be used to represent the same ratio?

0.25
0.34
0.33
0.75 (Correct answer)
0.67

Correct answer: 0.75

To convert a fraction to its decimal form, you divide the numerator by the denominator. For the fraction 3/4, you perform the division 3 ÷ 4. This calculation yields 0.75, which is the decimal representation of the given ratio.

Question 4: Nancy rode the train for two hours and thirty minutes. How long did she ride the train for in total?

60
138
150 (Correct answer)
160
230

Correct answer: 150

First, convert the two hours into minutes by multiplying 2 hours by 60 minutes/hour, which equals 120 minutes. Then, add the remaining 30 minutes to this amount. So, 120 minutes + 30 minutes results in a total of 150 minutes that Nancy rode the train.

Question 5: 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?

$4.19 (Correct answer)
$4.29
$5.71
$5.81
$8.93

Correct answer: $4.19

First, calculate Daniela's total spending by adding the cost of the candy and gum: $3.44 + $2.37 = $5.81. The question implies she gave a $10 bill, as a $1 bill would not cover the purchase. To find the change, subtract her total spending from the $10 she paid: $10.00 - $5.81 = $4.19. Therefore, she should anticipate getting $4.19 in change.

Question 6: 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?

20
6
36
18
9 (Correct answer)

Correct answer: 9

To determine the number of sets of plates Madison needs, divide the total number of plates required by the number of plates in each bundle. Madison needs 180 plates, and each bundle contains 20 plates. Therefore, 180 divided by 20 equals 9 bundles. She will need 9 sets of plates.

Question 7: 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?

75% (Correct answer)
25%
7.50%
3.40%
2.50%

Correct answer: 75%

To convert a decimal to a percentage, you multiply the decimal by 100. In this case, the decimal is 0.75. Multiplying 0.75 by 100 gives you 75. Therefore, the percentage equivalent of 0.75 is 75%.

Question 8: 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?

11
23
88
109 (Correct answer)
120

Correct answer: 109

First, calculate the total number of bulbs received by multiplying the number of boxes by the bulbs per box: 15 boxes * 8 bulbs/box = 120 bulbs. Next, subtract the number of harmed bulbs from the total to find how many were unharmed. So, 120 total bulbs - 11 harmed bulbs = 109 unharmed bulbs.

Question 9: 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?

226.5 miles (Correct answer)
228.0 miles
906.0 miles
220.5 miles
828.0 miles

Correct answer: 226.5 miles

To find the typical distance, or average, the car can go on a single charge, sum all the given measurements and then divide by the number of measurements. The sum of 230, 251, 199, and 226 miles is 906 miles. Dividing this sum by 4 (the number of measurements) gives an average of 226.5 miles.

Question 10: 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?

0.10 miles per hour
0.50 miles per hour
2 miles per hour
10 miles per hour (Correct answer)
20 miles per hour

Correct answer: 10 miles per hour

Average speed is calculated by dividing the total distance traveled by the total time taken. Jason covered a distance of 30 miles in 3 hours. Therefore, his average speed was 30 miles divided by 3 hours, which equals 10 miles per hour. The amount of fuel burned is not relevant to calculating average speed.

Question 11: 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?

28 (Correct answer)
30
20
37
35

Correct answer: 28

To find the total number of accidents, you need to sum the number of accidents from each of the four years as depicted in the graph. (Assuming the graph shows values that sum to 28, for example, 7 + 8 + 6 + 7). Adding these individual year totals together will give you the overall number of accidents throughout the four years.

Question 12: 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?

$12,885
$14,300
$19,500 (Correct answer)
$23,600
$28,635

Correct answer: $19,500

First, calculate the total percentage of Kevin's income that is taxed by adding the state and federal tax rates: 4% + 22% = 26%. Next, calculate 26% of his gross annual income of $75,000. This is done by multiplying $75,000 by 0.26 (the decimal equivalent of 26%), which results in $19,500. This is the total amount Kevin owes in federal and state income taxes.

Question 13: 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?

55 (Correct answer)
58
64
60
68

Correct answer: 55

To find the original number, we need to reverse the operations. The final number is 47. Button C was pressed twice, adding 1 each time, so it added a total of 2. Reversing this, we subtract 2 from 47, getting 45. Button A was pressed once, subtracting 10. Reversing this, we add 10 to 45, which gives 55. Therefore, the number shown before pressing the buttons was 55.

Question 14: 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?

12 (Correct answer)
8
10
14
6

Correct answer: 12

First, calculate the total number of bottles collected by adding the bottles from all three clients: 18 + 54 + 24 = 96 bottles. Next, divide the total number of bottles by the capacity of each crate to find how many crates are needed. Since each crate holds 8 bottles, 96 bottles divided by 8 bottles/crate equals 12 crates. Therefore, 12 crates are required.

Question 15: 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?

$1,280
$975
$780
$500
$280 (Correct answer)

Correct answer: $280

First, calculate the total cost for each plan. For the Premium Plan: $995 (annual fee) + (3,900 laps * $0.25/lap) = $995 + $975 = $1,970. For the Standard Plan: $495 (annual fee) + (3,900 laps * $0.45/lap) = $495 + $1,755 = $2,250. The savings are the difference between the Standard Plan cost and the Premium Plan cost: $2,250 - $1,970 = $280. Peter will save $280 by choosing the Premium Plan.

Question 16: 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?

30 inches
34 inches (Correct answer)
66 inches
68 inches
40 inches

Correct answer: 34 inches

First, convert all measurements to inches. The original lumber piece is 8 feet * 12 inches/foot + 4 inches = 100 inches. Each support is 2 feet * 12 inches/foot + 9 inches = 33 inches. Since Sandra makes two supports, the total length used is 2 * 33 inches = 66 inches. Finally, subtract the used length from the original length: 100 inches - 66 inches = 34 inches of lumber remaining.

Workkeys Applied Math Part 1

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?