Arithmetic Reasoning

Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?

$15,589

Mike made a snack mix by combining 1 pound of nuts that cost $13.50 per pound; 2 pounds of pretzels that cost $4.25 per pound; and 4 pounds of cheese crackers that cost $4.60 per pound. What is the price per pound of Mike's snack mix?

$5.77

A phone company charges $2 for the first five minutes of a phone call and 30 cents per minute thereafter. If Malik makes a phone call that lasts 25 minutes, what will be the total cost of the phone call?

$8.00

Solve the following: 39 ÷ (3 + 10) - 3 x 7

-18

Which of the following is an integer?

-9

Solve the following equation: |7 - (24 ÷ | 3-6 |)|

1

There are 4 red marbles and 8 green marbles in a box. If Emma randomly selects a marble from the box, what is the probability of her selecting a red marble?

1/3

Terri has a jar of orange, blue, green, and red chocolate candies. In the jar are 75 orange candies, 62 blue candies, and 52 green candies. If there is a total of 252 candies in the jar, what is the probability that Terri will pick a red candy?

1/4

Simplify: 5! / 8!2! (#! is factorial)

1/672

Stephen signed up to bring 5 gallons of lemonade to the company picnic. He has a 5-gallon bucket which contains 3.5 gallons of lemonade. How many pints of lemonade will he need to add in order to fill the bucket?

12

If Carol can write 3 articles for the newspaper every 2 ½ hours, how many articles can she write in 10 hours?

12 articles

If Kayla left a $10.47 tip on a breakfast that cost $87.25, what percentage was the tip?

12%

Solve the following: 5! ( #! is factorial)

120

What is the result when 7 is added to the product of 2 and 3?

13

Chad's recipe for chocolate chip cookies makes 24 servings of 375 calories each. Chad decided to make 150% of the amount in the recipe rather than the usual 100%. Approximately how many calories are in Chad's batch of cookies?

13,500

At the arcade, Nick spent 203 tokens on videogames in seven days. Each day he spent five more tokens than the previous day. How many tokens did Nick spend on the third day at the arcade?

24 tokens

Which answer is equivalent to seven to the fourth power?

2401

Every day, Bert spends an hour commuting to and from his office, driving at an average speed of 50 mph and taking the same route each way. How far does Bert live from his office?

25 miles

If 10 inches on a map represents an actual distance of 100 feet, then what actual distance does 25 inches on the map represent?

250 ft

The radar system beeps once every second. How many times will it beep in 3 days?

259,200

Which of the following is equivalent to 2 times the total of x plus y?

2x + 2y

Oscar purchased a new hat that was on sale for $5.06. The original price was $9.20. What percentage discount was the sale price?

45%

Will is filling up his pool for the summer, and water from the hose flows into the pool at 6 gallons per minute. The pool holds 17,280 gallons. How long, in hours, does it take to fill the pool?

48 hours

Which of the following is equivalent to 4 × 4 × 4 × 4?

4^4

Aisha wants to paint the walls of a room. She knows that each can of paint contains one gallon. A half gallon will completely cover a 55 square feet of wall. Each of the four walls of the room is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does Aisha need to buy in order to fully paint the room?

5

Carla is starting a cake-decorating business and wants to know how long it will take her to start making a profit. She knows the original investment is $100. After that investment, she can begin making cakes and selling them for $20 each. How many cakes will she need to sell to break even on her investment?

5

What is the absolute value of the quantity two minus seven?

5

Ellie wants to give her granddaughter a present of $500 saved in a bank account. If Ellie puts $350 in the account which earns an 8% annual interest rate, how long must she wait before the account is worth $500?

5 years 4 months

The percent increase from 8 to 18 is equivalent to the percent increase from 234 to what number?

526.5

Which of the following is equal to the square root of fifty?

5√2

If a car travels 360 kilometers in 5 hours, how many kilometers will it travel in 9 hours when driving at the same speed?

648

Sofía is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. Over the 7 hour time period what was Sofía's average speed?

65 km/h

Kevin and Kara are in a pancake-eating contest. Kevin can eat three pancakes per minute, while Kara can eat 3 ½ pancakes per minute. How many total pancakes can they eat in 10 minutes?

65 pancakes

Convert 0.075 to a percent

7.50%

There are 5 blue marbles, 4 red marbles, and 3 yellow marbles in a box. If Jim randomly selects a marble from the box, what is the probability of selecting a red or yellow marble?

7/12

Rachel is driving to visit her mother, who lives 250 miles away. How long will the drive be, round-trip, if Rachel drives at an average speed of 40 mph?

750 minutes

Simplify: 7x(8 - 3) ÷ 5

7x

What is 85,000,000,000 in scientific notation?

8.5 x 10^10

The supervisor of a small company is designing a new open office layout and thinks that employees will need 4 chairs for every 2 desks. How many office chairs will be needed for an office building with 40 desks?

80 chairs

A mobile classroom is a rectangular block that is 100 feet by 20 feet in length and width respectively. If a student walks around the block once, how many yards does the student cover?

80 yards

Every day, Bert spends an hour commuting to and from his office, driving at an average speed of 50 mph and taking the same route each way. How far does Bert live from his office?

85,019,457

What is the square root of 320?

8√5

Jake's final grade in math class is determined by the average he gets on six tests in the class. So far, Jake has earned a 97, 89, 85, 90, and 99 on the first five tests. What grade must Jake earn on the sixth test in order to get a 93 average in the class?

98

Which of the following is true?

If a number is divisible by 2 and 3, it is also divisible by 6.

x^3 · x^5 =

x^8

The absolute value of the quantity of 5 plus a number equals 10. Which of the following options is the correct solution set for the above equation?

{-15, 5}

At a used book store, Valentina purchased three books for $2.65 each. If she paid with a $20 bill, how much change did she receive?

$12.05

A jar is filled with green, yellow , and orange marbles, if ¼ of the marbles are green and 2/7 are yellow, what fraction of the marbles are orange?

15/28

A cooler full of sodas has 12 lemon-lime drinks and 18 gingerales. If one drink is selected at random and then a second drink is selected at random, what are the chances that both sodas will be gingerales?

17 in 50

What should come next in the following sequence? 64a, 55b, 46c, 37d, 28e, ?

19f, 10g, 1h

All of the following are examples of composite numbers except which one?

2

How many prime numbers are there between 25 and 35, inclusive?

2

If the ratio of x to y is 1:8, what is the product of x and y = 48?

2

Which of the following is a prime number?

2

Five years ago, Amy was three times as old as Mike. If Mike is 10 years old now, how old is Amy?

20

Joey and Sandy wanted to sell lemonade and cookies to earn some extra money. They sold cookies for $1 and lemonade for $0.50. At the end of the first day, they sold 24 cookies. The total money that they collected was $ 35.50. How many cups of lemonade did they sell?

23

Convert 0.023 to a fraction.

23/1,000

Carl works for a newspaper, and wants to write 15 short articles this week. He writes 3 articles on Monday. If Carl works Monday through Friday, how many articles should he write each day for the rest of the week in order to reach his goal?

3

There are two pizza ovens in a restaurant. Oven #1 burns three times as many pizzas as Oven #2. If the restaurant had a total of 12 burnt pizzas on Saturday, how many pizzas did Oven #2 burn?

3

Will has been working on a report for 4 hours each day, 7 days a week for 2 weeks. How many minutes has Will worked on his report?

3,360 minutes

What is twelve percent as a fraction?

3/25

Mia earns $8.10 per hour and worked 40 hours. Charlotte earns $10.80 per hour. How many hours would Charlotte need to work to equal Mia's earnings over 40 hours?

30

Laura goes to the grocery store every 5 days and Tim goes to the same grocery store every 6 days. If Laura and Tim both went to the grocery store today, when is the next time they will both go to the grocery store on the same day?

30 days

Continue the pattern: 6, 9, 13.5, 20.25, ?

30.375

Simplify the following: 5{1⁄3} - 7{5⁄6} + 6{1⁄4} =

3{3⁄4}

Edward is scheduled to detail 23 cars this week. If he details 3 cars on Monday, how many must he detail each remaining day on average to finish by the end of the day on Saturday?

4

Divide: (8.8 × 10^-8) ÷ (2.2 × 10^-6) =

4.0 × 10^-2

At a track event, there are eight different top-ranked runners. How many different ways are there for the eight runners to finish the race?

40,320