Workkeys Math
A customer purchases three pairs of pants for $17.95, $18.32, and $20.98 (prices include tax). How much change should you give back if they paid with one $50 bill and one $20 bill?
$12.75 Explanation: $17.95 + $18.32 + $20.98 = $57.25 The customer paid with: $50 + $20 =$70 The customer got change of $70 - $52.25 = $12.75
You are working as a floor rep in the local home improvement store. The store wants to increase its inventory. Last year, 40 lawn mowers cost $4,776. At the same cost, how much will 120 lawn mowers cost this year?
$14328 Explanation: 40/4776 = 120/N 40 x N = 4776 x 120 40N = 573120 40N/40 = 573120/40 N. = 14328 Or 4776 : 40 = 119.4 119.4 x 120 = 14328
A human resource manager is researching the entry-level salary for a technician position. He determined that other companies in the area are paying $15.50, $16.85, $14.25, and $15.95 per hour. What is the average pay for an entry level technician position?
$15.50 + $16.85 + $14.25 + $15.95 = $62.55 => $62.55 : 4 = $15.64 per hour
A customer hands you three (3) five-dollar bills, five (5) quaters, and two (dimes) to pay the full amount for an item. How much does the item cost?
$16.45 Explanation: 3 x $5 = $15 5 x 0.25 = $ 1.25 2 x 0.10 = 0.20 Total $15 + $1.25 + 0.20 = $16.45
Your employer pays you 1 1/2 times your normal wage on holidays. If your normal hourly wage is $12/hour, how much will you make per hour on the holiday?
$18 Explanation: $12 x 1 1/2 = 18 or $12 x 1.5 = 18
A costumer buy a bag of dog food that costs $12.79 and pays the sales tax of $0.64. How much change is due back from a $20 bi?
$20.00 - $12.79 - $0.64 = $6.57
A part time contractor at a manufacturing facility earns $11.00 per hour. He worked 4 1/4 hours on Tuesday, 3 1/4 hours on Wednesday, 7 1/4 hours on Thursday, and 5 1/4 hours on Friday. How much money did he earn for the week?
$220.00 Explanation: 4 1/4 + 3 1/4 + 7 1/4 + 5 1/4 4 + 3 + 7 + 5 = 19 1/4 x4 = 4/4 = 1 19 + 1 = 20 hours 20 hours x $11.00 = $220.00
Your company sells $$25543 worth of merchandise in January, $15550 in February, and $32461 in March. What are the average sales for these months?
$24518 Explanation: $25543 + $15550 + $32461 = $73554 : 3 = $24518
An operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3 of his pay. What is his total pay per month?
$2547 Explanation: 1/3 = $849 $849 x 3 = $2547
The telephone company purchased 95 yards of wire for $1235 in September. They plan on making a purchase of 285 yards in October. How much will the October purchase cost?
$3705 Explanation: 1) $1235 : 95 = 13 13 x 285 = 3705 2) $1235/95 = N/285 1235 x 285 = 95 x N 351975 = 95 x N 351975/95 = 95 xN/95 3705 = N
If you have a job that earns $160 in 2 days, how much will you earn in 7 days?
$560 Explanation: $160 :2 = $80 $80 x 7 = $560
You worked the dinner shift tonight and served a family their dinner. The bill was $43.89. They left $50 to pay for the meal; the remainder was your tip. How much your tip?
$6.11 Explanation: $50.00 - $43.89 = $6.11
Drive -A-Lot Cars runs a promotion for three years of interest-free payment on sedans. The cost of a new sedan is $22968 (including tax). What is the average monthly payment a customer will make if they pay off the car during the interest-free period?
$638/month 3 years x 12 months = 36 months $22968 : 36 months = $638
One of your clients at Wills, Trusts & Estates Law, PLLC passes away. His estate is worth $72,000. He leaves half to charity, and 1/8 to each of his four children. How much will each child receive?
$9000 Explanation: 1) $72,000 :1/8 = 9000 2) $72,000 : 2 = 36,000 $36,000 : 4 = 9000
You just found out the balance in one of the company's bank accounts dropped below $0 to -$425.59. Now you must adjust the balance to include the $30 penalty that the bank will charge, and then transfer funds from another of the company's accounts. What is the balance after the penalty and before you transfer any funds?
-$455.59 Explanation: -$425.59 + -$30 = -$455.59
The sales division at a chocolate milk company sold 3 2/5 million gallons on Monday and 2 1/5 million gallons on Tuesday. How many fewer gallons did the sales division sell on Tuesday?
1 1/5 gallons Explanation: 3 2/5 - 2 1/5 3 - 2 = 1 2/5 - 1/5 = 1/5 1 + 1/5 = 1 1/5
Natural Numbers (Counting Numbers)
1, 2, 3, 4, 5, 6, 7, 8, 9, etc. Whole numbers that are not negative. Zero (0) is not a natural number
Example of a prime number
1, 2, 3, 5, 7, 11, 13, 17, 19, 23
You are a carpenter and have a 3/16 inch piece of wood and a 5/16 inch piece of wood. If you glue the pieces together, what is the new measurement of the combined piece of wood in its lowest form?
1/2 inches Explanation: 3/16 + 5/16 =8/16 Divide both nominator and denominator with 8 8/18 = 1/2
To test the rate of stream water evaporation, you fill two 18 inch containers to the brim with streams water and leave them in protected areas in the shade. When you return one week later, container A is 8/18 inches full and Container B is 5/18 inches full. How much less water, in the simplest form, is in container B ?
1/6 of an inches Explanation: 8/18 - 5/18 = 3/18 Simplest to 3/18 : 3 = 1/6
You are a cook. You just got orders for 2 steaks at table 6, 4 steaks at table 7, and 4 steaks at table 11. How many steaks should you put on the grill?
10 grill Explanation: 2 + 4 + 4 = 10
For Your job need to track the amount of time spend on each project and your total time. For project A, you spend 1 hour and 25 minutes. For Project B, you spend 45 minutes. How many total minutes did you spend on the two projects combined?
130 minutes Explanation: Project A = 1 hour and 25 minutes = 60 minutes + 25 minutes = 85 minutes Project B = 45 minutes Total minutes on the projects combined: 85 minutes + 45 minutes = 130 minutes
A bread machine produces 159 loaves per hour. The machine operates 10 hours per day. How many loaves of bread does it produce per day? _________ loaves
159 x 10. = 1590
The 4 people in your crew each spent 4 hours laying sod. How many person hours in this?
16 hours Explanation: 4 crew x 4 hours = 16 hours
You work for a florist. Normally, it takes you 20 hours to assemble 10 flower arrangements. How long does it take you to assemble one flower arrangement?
20 hours : 10 flowers = 2 hours
It takes about 14 person-hours of labor to break up a driveway and clear away the ruble. It takes about 8 person-hours of labor to pour and smooth concrete for the new driveway. About how many person-hours of labor does it take to break up a driveway, clear away the rubble, pour the concrete, and smooth the concrete?
22 Explanation: 14 + 8 = 22 person-hours
You estimate that you have completed 1/4 of the work your boss expects this week. What percent of your work is complete?
25% Explanation: 1/4 x 100 1 x 100 =100 100 : 4 = 25 %
You process paychecks for your company. Paydays are 2 weeks apart, on Friday. The first payday in one month is on the 12th.the next payday is on the:
26th Explanation: 1 week = 7days 2 weeks = 7 days x 2 = 14 days First payday on the 12th + 14days = 26th
One yard = three feet. A carpenter has a piece of wood that is 10 yards long. How many feet of wood does the carpenter have ? ______ ft
3 ft x 10 yards = 30 ft
You manage inventory for Swim Chem, a large distributor of chemicals for indoor and outdoor pool companies. Your division sold 2.4 tons of chlorine on Monday, 4.4 on Tuesday, 1,8 on Wednesday, and 2.8 on Thursday. If last week's sales totaled 14.4 tons, how much chlorine sold on Friday?
3 tons Explanation: 2.4 + 4.4 + 1.8 + 2.8 = 11.4 Total sales 14.4 tons So 14.4 - 11.4 = 3 tons
You've just finished making 3 batches of plastic tumblers: a red batch, a yellow batch, and a purple batch. There are 500 in each batch. You are now making sets of 3 tumblers that contain 1 tumblers of each color. How many sets can you make? A. 166 B. 167 C. 500 D. 506 E. 1500
3 x 500 = 1500 1500 : 3 = 500
While making deliveries for a courier service, you drive 0.75 miles. What fraction of a mile, in simplified form, have you driven ?
3/4 miles Explanation: 0.75 = 75/100 Divide both nominator and denominator with 25 75 : 25 = 3 100 : 25 = 4 So the answer is 3/4
You are a truck driver for a distribution center. You drove 30 hours in 5 days. What is your average daily travel time?
30 hours: 5 days = 6 hours
You are putting 30 different bolts into bins according to the size of the bolt. So far you have successfully put 10 bolts into bins, while is 1/3 of the total job. What is your answer when your supervisor asks, "within 1%, what percent of the job is complete?
33% Explanation: 1/3 x 100 = 33%
There are 60 seconds in a minute, how many minutes are in 360 seconds?
360 seconds : 60 minutes = 6 minutes
At a city water purification plant, water is mixed with a release agent in a ratio of 8:1. You are using 32 ounces of water. How many ounces of the release agent should you mix with the water?
4 ounces Explanation: 32 : 8 = 4 4 x 1 = 4 So, 8:1 = 32:4
As a project manager, your need to plan production runs over the next 3 1/2 weeks. If your team is able to produce 1250 widgets in one weeks, how many widgets can they produce in. 3 1/2 weeks?
4375 Explanation: 1250 x 3 weeks = 3750 1250 x 1/2 week = 625 Total of 3 1/2 weeks is 4375
A cateringservice is serving a party with 75 guests. The recipe for cornbread calls for 9 cups of flour and will serve 15 people. How much flour will be needed to serve cornbread to the 75 guests?
45 cups Explanation: 1) 75 guests : 15 people = 5 9 cups x 5 = 45 cups 2) 9cups/15 people = N/ 75 guests 9 x 75 = N x 15 675/15 = 15N/15 45. = N
You're laying plumbing on a construction site. The blueprints call for 8 sections of 5 3/4 inch long piping. How many inches of piping will you use?
46 inches Explanation: 8 x 5 3/4 8 x 5 = 40 8 x 3/4 = 8 x 0.75 = 6 40 + 6 = 46 inches
On a recent business trip, a salesman traveled 52 miles the first, 64 miles the second hour and 49 miles the third hour. How many miles did he average per hour?
52 + 64 + 49 = 165 165 : 3 = 55 miles/hour
You have $28, and you want to get half-dollars coins from the bank to give to children who come into your store. What is the most you get?
56 Explanation: $ 1 = 2 half-dollars coins $ 28 x 2 = 56
One yard equals three feet. How many yards are there in 63 feet?
63 feet : 3 feet = 21 yards
You have 7 people in your group. If you each worked 38 hours during last week, how many total hours were worked by the group? _________ hours
7 x 38 = 266 hours
You're making deliveries and can travel 324 miles on 18 gallons of gas. How far can you travel on 41 gallons of gas?
738 miles Explanation: 1) 324 : 18 = 18 18 x 41 = 738 miles 2) 324/18 = N/41 324 x 41 = 18 x N 13284/18 = 18 x N/18 738. = N
You have 50 rolls of fencing that are each 15 1/2 feet long. What is the total length of fencing?
775 feet Explanation: 1) 50 x 15.5 = 775 2) 50 x 15 = 750 50 x 1/2 = 25 Total 750 + 25 = 775
You are overseeing a machine that seals 80 soda cans per minutes. In one hour of time, how many soda cans will be sealed
80 sodas x 60 minutes = 4800 soda cans
Sales Team A at Drive -A-Lot Cars sells 9 cars during the first week of the sales period. Over the next three weeks, they sell 6 cars, 10 cars, and 7 cars. What is the team's average weekly sales for the four we?
9 + 6 + 10 + 7 = 32 32 : 4 = 8 cars
At the bakery where you work, Doug for a certain type of pastry needs to be chilled for an hour and a half. Your timer only shows time in minutes. How many minutes should you chill the dough?
90 minutes Explanation: 1 hour and half in minutes 1 hour = 60 minutes 1/2 hour = (60 : 2 ) = 30 minutes 60 minutes + 30 minutes = 90 minutes
Composite numbers
A natural number greater than 1 that can be divided evenly by 1 and itself and at least one other number Ex: 125 125 : 25 = 5 125 : 125 = 1 125 : 1 = 125 Ex: 4 1 x 4 = 4 2 x 2 = 4 Ex: 48 Can divide with 1,6,48
Prime number
A whole number greater than 1 that has exactly two factors (1 and itself)
In the checkout line, a costumer has two coupons for the same item. One is 1/3 off, and the other is 1/2 off. Which coupon will give the costumer the biggest discount? A. 1/3 B. 1/2
B. 1/2 Explanation: Convert the 1/3 and 1/2 into decimal 1/3 = 1 : 3 = 0.33 1/2 = 1 : 2 = 0.5 So the biggest discount is 1/2 (0.5)
Change 0.25 to a fraction in simplest form A. 25/100 B. 1/4 C. 1/3 D. 1/2
B. 1/4 Explanation: 0.25 to fraction 25/100 25= 1 x 25 100 = 1 x 100 2 x 50 4 x25 25 : 25 = 1 100 : 25 = 4 So the simplest form of 0.25 is 1/4
It takes 4 minutes to complete an administrative task. There are 60 second in 1 minute. How many seconds does it take to complete the same task? A. 24 seconds B. 240 seconds C. 244 secretion D. 420 seconds
B. 240 seconds Explanation: 4 x 60 = 240
You are a batter mixer in a factory that makes cakes. The batter calls for 0.75 of tea spoon of almond extract. Your measuring spoons show fractions not decimals. Using your tools to measure, how much almond extract should you add? A. 1/4 of a teaspoon B. 1/2 of a teaspoon C. 3/4 of a teaspoon D. 1/3 of a teaspoon
C. 3/4 of a teaspoon Explanation: 75/100 ==> 75 = 1 x 75 ==> 75 : 25 = 3 3 x 25 ==> 100 = 1 x 100 ==> 100 : 25 = 4 2 x 50 3 x 25 75/100 = 3/4
You've been given a twenty dollar bill that you need to break into smaller bills and coins in order to make change. You break it into three (3) five-dollar bills, and three (3) one-dollar bills. How many quarters do you need to complete the conversion? A. 3 B. 4 C. 6 D. 8 E. 10
D. 8 Explanation: $20 Needs to break into: 3 x $5 = $15 3 x $1 = $ 3 Equal = $18 $20 - $18 = $2 $2 breaks into quarters: 1 quarter = 0.25 So, $2 : 0.25 = 8 quarters
A customer orders a $3.50 slice of pizza, and pays you with a dollar and 9 quarters. Did the costumer pay you the right amount?
No, the costumer pay less than $3.50 Explanation: Pizza price $3.50 She paid with $1 and 9 quarters 9 quaters : 0.25 = $2.25 So $1 + $2.25 = $3.25 $3.50 - $3.25 = $0.25 (total what she owed)
Factors
Numbers that are multiplied together to get a product ex. factors of 52 = 2, 4, 13, and 26 Factor of 12 = 3 and 4
You are trying to order 1/4 pound of saffron, but the ordering system wants a decimal. What should you type in?
O.25 Explanation: 1/4 : 100 = 0.25
Integers numbers
whole numbers and their opposites - 3,-2,-1,0,1,2,3