Math

Heather is buying a T-Shirt for $8. Sales tax is 8 1/4 cents per dollar. How much will Heather pay in sales tax on her purchase?

$0.66 or 66 cents

Mike received a 10% raise each month for 3 consecutive months. What was his salary after the three raises if his starting salary was $1,000 per month?

$1,331.00

Mrs. Hernandez was offered an 18% discount when she purchased a $1700 dining room set. What was the amount she had to pay?

$1,394

The sales tax rate in a small town is 8% of which the town keeps all the proceeds. The town is saving for a new traffic meter which costs $124. How much must the town sell to earn enough money to purchase the new traffic meter?

$1,550.00

A college student purchased a car priced at $10,000. She paid $1,000 down and agreed to a monthly payment of $200 per month for 48 months. Including the down payment, what is the total amount of money the student will have paid for her car by the end of the 48 months?

$10,600

You are working as a cashier at a computer supply store. School is starting soon, so the state is hosting a sales tax-free weekend today and tomorrow. A customer buys one flash drive for $14.90 and a power strip for $12.50. If the customer hands you two $20 bills, how much will you give him back in change?

$12.60

James bought two t-shirts for $17.99 each, including tax. How much change should he get from a $50.00 bill?

$14.02

Sam makes a 6% commission on sales of $2450. How much is his commission?

$147

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?

$16 million

A family spends 20% of its monthly income on food, 23% on rent, 42% on other expenses, and saves the balance. If the family saves $360 per month, what is the family's monthly income?

$2,400.00

Louis and his family are going to the zoo. The price of a bus ticket is $1.00, but the family has some coupons. If Louis pays full price, his wife pays 3/4 of the regular price, and the two children pay 1/2 of the regular price, how much will it cost for the family to take the bus?

$2.75

A small family-owned business sets aside $2,000 to be used for holiday bonuses. If there are 8 employees and the owners give the same amount of money to each employee, how much does each employee receive?

$250

Sally makes $7.50 per hour and worked 37 hours that week. How much did she earn before taxes?

$277.50

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, how much would the gas cost for this car to travel 2,727 typical miles?

$408.04

How much is 15 gallons of gas if gas is $2.78 per gallon?

$41.70

At the end of the day, a local bakery sold 83 cakes and had to throw out 7 cakes due to baking errors. Each cake cost the bakery $6.25 to make. The bakery, in turn, sold each cake for $12.75. What was the total profit earned by the bakery today?

$495.75

You are the head of marketing for a company that is expanding overseas. You have a 210 page employee manual that must be translated into Chinese for the new offices. The company We Translate For You charges $2.75 per page for translation. Their competitor, Translationary, charges $2.35 per page and a $6.25 administrative fee per project. What is the least amount of money you will have to spend to translate the manual?

$499.75

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player?

$56.00

You work as a salesperson for a company that makes high-end gym equipment. You just closed a sale with someone looking to remodel a gym; her order of treadmills, ellipticals, exercise bikes, and other equipment totaled $33,000. You earn a commission of 20% on every sale you make. How much commission do you make on this sale?

$6,600

How much is the discount of a $300 racing bike marked 25% off?

$75

A high school student earns $65 for mowing one customer's lawn. If he mows 13 lawns in one week, how much money will he earn for that week?

$845

IF X=3 and Y= -4, what is the value of XY-2Y?

-4

What is the slope of any line parallel to the line 9x + 4y = 7?

-9 / 4 or -9 over 4

A manufacturer wants to make a rectangular storage box with volume 0.75 cubic meters, length 1.5 meters, and width 0.4 meters. What is the height of this box?

1.25 m

What is the probability of pulling an ace out of a standard deck of playing cards?

1/13

At three different stores, ties are 40% off, 1/2 off, and 1/3 off. Put the discounts in order, from smallest to biggest.

1/3, 40%, 1/2

When rolling two dice, what is the probability of rolling a sum of seven?

1/6

In a three game series, the Red Cats play the Indigo Lions. What is the probability that the Red Cats will win all three games?

1/8 (each game odds are ½ per game x 3 occurrences: ½ x ½ x ½)

You work for a waste removal company. The trailer of one of your dump trucks is 10 feet wide, 15 feet long, and 6.5 feet high. If a ton of debris equals 200 cubic feet, how many trucks are needed to cart away 45 tons of debris from a demolition site?

10

A garden statue casts a shadow that is 4 feet long at the same time a neighboring tree's shadow is 2 feet long. If the tree is 5 feet tall, how tall is the statue?

10 feet

The pilot of a small aircraft was given permission to land, and she lowered her wheels at an altitude of 1500 feet. Two and a half minutes later, the aircraft landed. What was the planes rate of descent in feet per second, from the time the wheels were lowered to the time it landed?

10 feet per second or 10 ft/s

Alanis is moving and needs to pack two mirrors. The larger mirror fits in a box that has a width of 18 inches and a length of 20 inches. The smaller mirror is similar in proportion to the larger mirror. She determines that the width of the smaller box needs to be a minimum of 9 inches. What should be the minimum length of the smaller box?

10 inches

If you drove at average speed of 66 miles per hour, what distance, in miles, did you drive in 99 minutes?

108.9 miles

Subtract: 18 - 6 6/11

11 5/11 (eleven and five elevenths)

Solve: 4 lbs. 14 oz. + 6 lbs. 13 oz.

11 lbs. 11 oz.

John was building a new fence and he wants it to stand 8 1/2 feet above ground level. To make sure it is secure he must place it 2 3/4 feet into the ground. How long of a post should John buy?

11 ¼ feet

You work for a carpet cleaning service and must shampoo the carpet in the small banquet room of a local hotel. The dimensions of the room are 200 feet by 180 feet. Each bottle of carpet shampoo can be used to shampoo 320 square feet of carpet. How many bottles of shampoo do you need to complete the job?

113

Convert: 9 3/4 feet to inches

117 inches

An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds, the net weight, of secret ingredient B are in a 42-pound bucket of this cleaner?

12.6 lbs.

The sun rose at 5:53 AM one morning and set at 7:09 PM that evening. How many hours and minutes were there between sunrise and sunset on that day?

13 hours and 16 minutes

You work as a grounds keeper for a small local elementary school and must fertilize the grass on the entire campus. You know that 4 containers cover 60 square yards. If the campus has 2,000 square yards of grass area, how many containers of fertilizer will you need?

133 1/3 or 133.3

Betty is making a 4th of July mixture using red, white, and blue peppermint candies. She has 128 white candies and wants this to be 32% of the mixture. She also wants the same number of red and blue candies in the mixture. How many blue candies should Betty include?

136

Solve: 6 3/5 + 7 11/15

14 1/3 (fourteen and one third)

You work for a pet trainer who has asked you to create a rectangular pen for dog training purposes. You will use chicken coop wire to construct the sides of the pen. The pen is supposed to be 42.6 feet long and 28.5 feet wide. How many feet of chicken coop wire are needed to form the pen?

142.2 feet or 142.2'

A telephone manufacturing company has determined that the cost of production for a certain model can be found by using the equation y = 42x + 2,000, where y is the production cost and x is the number of phones produced. It is calculated that an average daily production cost is $8,426. Approximately how many phones does the company produce daily?

153

What is 0.64 or sixty-four hundredths expressed as a fraction?

16/25

You work at the front desk of a luxury hotel. Guests staying at the hotel have two options for accessing the hotel's wireless internet. The first involves a charge of $25 a day plus ten cents for every minute connected to the network. The second is a flat fee of $60 per day with unlimited access. How many hours would a guest who is staying at the hotel for three days need to spend on the internet during that time to save money by using the second option?

17.5

Wendy borrowed $1,200 for one year and paid $216 in interest. What was her yearly rate of interest?

18%

Solve: 12 feet 4 inches - 9 feet 8 inches

2 feet 8 inches

What is the scientific notation for the following number: 282,000?

2.82 x 10^5 or 2.82 X 10 to the fifth power

Alfredo has forgotten the 3-digit code to the lock on his suitcase. He remembered that the first digit is 5 and the last digit is either a 2 or 4. The middle digit could be any number from 0 to 9 inclusive. What is the greatest number of 3-digit codes he might have to try in order to be sure to open his suitcase?

20

A basketball team has won 50 games of 75 played. The team still has 45 games to play. How many of the remaining games must the team win in order to win 60% of all games played during the season?

22

The prom decorating committee decided to add a string of lights to its welcome sign. The sign is a rectangle that measures 7.5 feet wide by 4.5 feet high. What is the minimum length of the string, to the nearest foot, of lights needed?

24 feet

A right triangle has a hypotenuse of 30 inches and a first leg of 18 inches. What is the length of the second leg?

24 inches or 24"

A librarian needs to package up all of the children's books and move them to a different location in the library. There are 625 books, and she can fit 25 books in one box. How many boxes does she need in order to move all of the books?

25

What is the largest possible product for 2 odd integers whose sum is equal to 32?

255 (15 x 17)

How many feet are in 5.5 miles?

29,040

139 1/2 inches is equal to how many yards?

3 7/8 yards or 3.875 yards

There are 15 balls in a box: 8 balls are green, 4 are blue and 3 are white. Then 1 green and 1 blue ball are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?

3 out of 13 or 3/13

Simplify the square root of 45.

3 square root of 5

The diameter of one bicycle wheel is 28 inches and its spokes run from the hub or center to the edge of the rim. The diameter of another bicycle wheel 21 inches. What is the difference in inches between the length of the spokes of the two wheels

3.5 inches

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3?

3/8

You work as an office assistant who does data entry for a large survey company. Data entry is performed in two-person teams: one person types and the other checks that person's work for errors. Each two-person team, on average, can enter the data of 520 surveys per day. A huge collection of 7,540 surveys will arrive tomorrow and must be entered by the end of the day. In order to enter all of the survey data, how many total employees, working in two-person teams, must work tomorrow?

30

If the difference between two numbers is 6, and the difference of their squares is 180, what is the sum of the numbers?

30 (12 and 18)

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o'clock?

30 degrees

Solve: 20 ½ divided by ⅔

30 ¾

Man Wrinkle spent one-fourth of his life as a boy, one-eighth as a youth, and one-half as an active man. If Man Wrinkle spent 8 years as an old man, then how many years did he spend as an active man?

32 years

Find 78% of 58

45.24

A circular pool has a diameter of 12 feet. About how much water is needed to fill the pool to a depth of 4 feet?

450 cubic feet

As an employee of a summer sports camp, one of your jobs is to prepare the tank of vitamin water for use throughout the day. The mixture calls for 75% pure water and 25% concentrated vitamin drink. How many gallons of water should you add to 16 gallons of concentrated vitamin drink?

48

If the hypotenuse of a right triangle is 10 inches long and one of its legs is 5 inches long, how long is the other leg?

5 square root of 3 inches or 8.66 inches

What fraction of 1 hour is 50 minutes?

5/6

The angle of the roof on Kayla`s dollhouse is 56 degrees. She built a scale model of the dollhouse with a scale ratio of 1:4. What is the measure of the angle of the roof on the model?

56 degrees

Change: 11 2/5 to an improper fraction

57/5

What is the slope of the following line that passes through the ordered pairs (-4 , -3) and (1 , 3)?

6 / 5 or 6 over 5

Change: 46/7 to a mixed number

6 4/7

A banquet center offers a choice of 3 salads, 5 main courses and 4 desserts. How many different meals can be created by selecting one salad, one main course and one dessert?

60

For your sports equipment store, you purchase a case containing 24 canisters of tennis balls for $60. You in turn charge $4 for each canister. By what percent is the price of each case of tennis balls marked up?

60%

A random sample of 750 light bulbs shows 25 to be cracked. Out of 18,000 light bulbs in stock, predict how many are cracked.

600

What is the median of: 62, 65, 70, 64, and 58?

64

Solve: four sevenths to the third power [ 4/7^3 ]

64/343

How many 4-inch by 8-inch bricks are needed to build a walk 6 feet wide and 24 feet long?

648 bricks

228 people have registered for a sightseeing tour of the Grand Canyon. If a tour director can take 35 people on each tour, how many tour directors will be needed to accommodate everyone?

7 (6.51 rounded)

Solve: 5 days 5 hours + 1 day 20 hours

7 days and 1 hour

The length of a rectangle is 3 times its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?

75 square inches

An assembly line can make 150 turbines per day. At this rate, how many turbines can be produced in a 5-day work week?

750

Solve: 12 hours 14 minutes 6 seconds minus 3 hours 28 minutes 19 seconds

8 hours, 45 minutes,47 seconds

Three-fifths of the city`s population is registered to vote. In the last election, 75% of the registered voters cast a ballot. What fractional part of the city`s population voted in the last election?

9/20

You are the owner of a toy store and are preparing to make a donation to a local children's hospital. You must prepare 320 teddy bears to include in your donation. Your associate can prepare 8 teddy bears an hour and uses 3/4 a yard of ribbon in doing so. She needs you to buy the ribbon, but the craft store only sells ribbon in feet. How many feet of ribbon are needed?

90

What is the formula you would use to find the area of a triangle?

A = (Base x Height) / 2 or A = (bh) / 2

What is the formula you would use to find the area of a trapezoid?

A = (base 1 + base 2) / 2 x height or A = (b1 + b2) / 2 x h or A = 1/2 (b1 + b2) x h

What is the formula you would use to find the area of a circle?

A = Pi x r^2 or Area = Pi times radius squared

What is the formula for the Pythagorean Theorem?

A squared + B squared = C squared or A^2 + B^2 = C^2

What is the formula you would use to find the circumference of a circle?

C = 2 x Pi x radius or C = Pi x diameter

When the sum of two angles totals 90 degrees, what type of angles are they?

Complementary angles

How many irrational numbers are there between 1 and 6?

Infinite number

Simplify the following: 1/3 to the 3rd power times 1/3 to the 4th power

One-third to the seventh power or 1/)^7

What quadrant would the ordered pair (5,-7) be in?

Quadrant 4

What is the value of x when 2x + 3 = 3x - 4?

X = 7

If a number, n, is decreased by 44 the result is -15. What is the number?

n = 29