ASVAB Arithmetic Reasoning

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? $5.04 $4.12 $5.77 $3.98

$5.77

Solve the following: 39 ÷ (3 + 10) - 3 x 7 140 -18 0.56 0

-18

Which of the following is an integer (a whole number)? -9 3/4 0.5 Or square root of 42

-9

Solve the following equation: | 7 -(24 / | 3-6 | ) | Write on paper

1

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? ¼ 1/8 ½ 1/16

1/4

Simplify: 5! / 8!2! 1/336 5/4 5/16 1/672

1/672

If Carol can write 3 articles for the newspaper every 2 ½ hours, how many articles can she write in 10 hours? 12 articles 24 articles 6 articles 18 articles

12 articles

Solve the following: 5!

120

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? 11,200 13,500 9,700 6,400

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? 14 tokens 24 tokens 29 tokens 34 tokens

24 tokens

Which answer is equivalent to seven to the fourth power? 0.0007 70,000 1 2401

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? 50 miles 30 miles 25 miles 15 miles

25 miles

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

2x + 2y

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 36 64 204

40,320

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? 24 hours 48 hours 72 hours 16 hours

48 hours

Which of the following is equivalent to 4 x 4 x 4 x 4? _/4 x 4 4^4 4 •/• 4 4,000

4^4

What is the absolute value of the quantity two minus seven? | 2 - 7 |

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 7 years 2 months 6 years 8 months 8 years 7 months

5 years 4 months

Which of the following is equal to the square root of fifty? 2√5 25√2 5√2 10√5

5√2

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? 52 pancakes 72 pancakes 65 pancakes 44 pancakes

65 pancakes

Convert 0.075 to a percent 0.08% 0.75% 7.50% 75%

7.50%

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? 125 minutes 290 minutes 675 minutes 750 minutes

750 minutes

Simplify: 7x(8 - 3) ÷ 5 56x - 3/5 x 7x 35x

7x

What is 85,000,000,000 in scientific notation? 8.5 x 10^10 8.5 x 10^-10 .85 x 10^11 85 x 10^9

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? 64 chairs 40 chairs 20 chairs 80 chairs

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 75 yards 85 yards 70 yards

80 yards

Which of the following numbers is divisible by 3? 49,763,296 32,832,988 85,019,457 18,067,871

85,019,457

What is the square root of 320? 8√5 4√5 64√2 8√2

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 96 84 89

98

Which of the following is true? If a number is divisible by 5, it is also divisible by 10. If a number is divisible by 1, it is also divisible by 2. If the last 3 digits of a number are divisible by 2, then the number is divisible by 4. If a number is divisible by 2 and 3, it is also divisible by 6.

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

x^3 · x^5 = x^15 x^2 x^5/3 x^8

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? {-5,5} {10,-10} {-5,15} {-15,5} |5 + x| = 10 Take away the bars and set the expressions equal to both 10 and -10.

{ -15, 5 }

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 1 in 2 3 in 5 30 in 51

17 in 50

What should come next in the following sequence? 64a, 55b, 46c, 37d, 28e, ? 16h, 14i, 12j 14f, 7g, 1h 17g, 10h, 9i 19f, 10g, 1h

19f, 10g, 1h

All of the following are examples of composite numbers except which one? 2 6 9 12

2

How many prime numbers are there between 25 and 35, inclusive? 2 3 4 5

2

Which of the following is a prime number( is a counting number that has exactly 2 factors: itself and 1. ) Composite number( is a number that has more than 2 factors) 27 9 2 12

2

What is the result when 7 is added to the product of 2 and 3? 20 13 35 13

2(3)+7=13

Convert 0.023 to a fraction. .023/100 23/100 23/1,000 2 2/67

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? 4 3 2 2.5

3

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

3 3⁄4

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? 7,204 minutes 5,284 minutes 3,360 minutes 2,400 minutes

3,360 minutes

What is twelve percent as a fraction? 5/26 1/8 1/12 3/25

3/25

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 o the grocery store on the same day? 11 days 30 days 60 days There is not enough information

30 days

Continue the pattern: 6, 9, 13.5, 20.25, ? 32.5 25 30.375 27

30.375

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 3 5 2

4

Divide: (8.8 × 10-8) ÷ (2.2 × 10-6) = 6.6 × 10^2 4.0 × 10^-14 4.0 × 10^-2 0.4 × 10^-4

4.0 × 10^-2