Arithmetic Reasoning ASVAB PRACTICE

A bread recipe calls for 3 1/4 cups of flour. If you only have 2 1/8 cups, how much more flour is needed?A. 1 1/8B. 1 1/4C. 1 3/8D. 1 3/4 : A. 1 1/8A. 3 1/4 - 2 1/8= 13/4 - 17/8= 26/8 - 17/8 = 9/8 = 1 1/8 more cups of flour.

How many omelets can be made from 2 dozen eggs if an omelet contains 3 eggs?A. 1B. 3C. 6D. 8 : D. 8D. There are 24 eggs in 2 dozen eggs. If 3 eggs are in an omelet, then 24 ÷ 3, or 8 omelets, can be made.

Dana receives $30 for her birthday and $15 for cleaning the garage. If she spends $16 on a CD, how much money does she have left?A. $29 B. $27 C. $14 D. $1 : A. $29 A. Add the amount of money received and subtract the amount spent. $30 + $15 - $16 = $29.

A television is on sale for 20% off. If the sale price is $800, what was the original price?A. $160 B. $640 C. $960 D. $1,000 : D. $1,000 D. If an item is discounted 20%, the sale price is 80% of the original price. Let p represent the original price. Then $800 = 80% × p and p = 800/80% = 800/.80 = $1,000.

Rae earns $8.40 an hour plus an overtime rate equal to 1½ times her regular pay for each hour worked beyond 40 hours. What are her total earnings for a 45-hour work week?A. $336 B. $370 C. $399 D. $567 : C. $399 C. The overtime rate is $8.40 × 1.5 = $12.60. Five hours of overtime were completed, so the total earnings are ($8.40 × 40) + ($12.60 × 5) = $336 + $63 = $399.

A sweater originally priced at $40 is on sale for $30. What percent has the sweater been discounted?A. 25%B. 33%C. 70%D. 75% : A. 25%A. The amount of discount is $40 - $30 = $10. The percent of discount is the amount of discount divided by the original price. 10/40 = 1/4 = 25%.

Davis donates 4/13 of his paycheck to his favorite charity. If he donates $26.80, what is the amount of his paycheck?A. $8.25 B. $82.50 C. $87.10 D. $348.40 : C. $87.10 C. Let p represent the amount of the paycheck. 4/13p? = , so ?.

Rachel ran ½ mile in 4 minutes. At this rate, how many miles can she run in 15 minutes?A. 1 7/8B. 4C. 30D. 60 : A. 1 7/8A. The proportion ? models this situation. Cross multiply. ?, so ? and x = ? miles.

The length of a rectangle is three times its width. If the perimeter of the rectangle is 48, what is its area?A. 108B. 96C. 54D. 48 : A. 108A. The perimeter of a rectangle is l + w + l + w = 48. Since l = 3w, the perimeter is 3w + w + 3w + w = 48 so 8w = 48 and w = 6. Therefore, the length is 3 × 6 or 18 and the area of the rectangle is l × w = 18 × 6 = 108.

A machine can produce 8,000 widgets in 3 hours. How many widgets are produced in 1 day?A. 96,000B. 64,000C. 32,000D. 8,000 : B. 64,000B. If a machine produces 8,000 widgets in 3 hours, it produces ? widgets in 1 hour. There are 24 hours in a day, so ? or 64,000 widgets are produced in 1 day.

At an electronics store, Sal bought a CD for $14.99, another CD for $19.99, a CD player for $49.75, and a software program for his com- puter for $56.59. What was his total bill? A. $121.45 B. $125.42 C. $139.72 D. $141.32 : D. This is a simple addition problem. Add the amounts to get the total of $141.32.

Brad placed several calls on his cell phone dur- ing the first half of the month. The calls were 15 minutes, 46 minutes, 59 minutes, 83 minutes, and 114 minutes. If his plan authorizes 400 min- utes, how many minutes does he have left? A. 47 B. 83 C. 113 D. 147 : B. This problem has two steps. First you need to add the number of minutes Brad used. Then you need to subtract that amount from his al location of 400 minutes. The total number of minutes used was 317, so subtracting that from 400 leaves 83 minutes.

A manufacturer can produce 112 shirts per hour. If a work day is 8 hours, how many shirts can be produced in 3.5 days? A. 392 B. 1,125 C. 1,236 D. 3,136 : D. Set this up as a proportion. If 112 shirts can be produced in 1 hour, then [ x ] shirts can be pro duced in 8 hours. The proportion would look like this: 112 = x . 18 Cross-multiply and solve for x . 1 x = 896. So 896 shirts can be produced in one 8-hour day. The question asks how many can be produced in 3.5 days, so multiply 896 by 3.5 to get the final answer of 3,136

Vanessa has a drawer full of headbands. Twenty are pink , 32 are blue, and 16 are black. If she reaches into the drawer and picks out a head- band at random, what is the probability that the headband will not be black? A. 17 32 B. 13 17 C. 16 32 D. 1 2 : B. Probability = number of favorable outcomes/ number of possible outcomes. In this problem the number of possible outcomes equal 0 + 32 + 16 = 68. The number of favorable out- comes is the sum of pink and blue or 20 + 32 = 52. = , 52 68 13 17 the correct answer when simplified.

A family goes to a restaurant, and the bill is $112.00. If the parents want to leave the waitperson a 15 percent tip, how much should they leave? A. $15.40 B. $16.80 C. $17.25 D. $17.85 : B. If the bill is $112.00, a tip of 15% is calcu- lated by multiplying $112.00 by 0.15. $112.00 × 0.15 = $16.80

At the local department store, a flat screen television retails for $4,250. Manuel finds the same television for sale on the Internet for $450 less. What percent will Manuel save if he purchases the television via the Internet site? A. 5.2% B. 10.6% C. 12.8% D. 15% : B. Use the following formula: percent of change = amount of change/starting point. In this problem we know that the amount of change is $450 if Manuel purchases the TV online. The starting point is the cost of the TV at the local department store, $4,250. Substitute that information into the formula: percent of change = $450.00/4250.00 = 0.106. Change the result to a percent by moving the decimal place two places to the right and adding the percent sign. 0.106 = 10.6%

Karin is as old as her two cousins combined. If Karin is 54 and one cousin is 21, how old is the second cousin? A. 13 B. 22 C. 33 D. 37 : C

Ned works after school. When he cuts grass, he earns $6.25 per hour. When he delivers papers, he earns $5.95 per hour and when he runs er rands for people, he earns $5.50 per errand. If in one week he cut grass for 6 hours, delivered papers for 11 hours, and ran 6 errands, how much money did he earn? A. $114.95 B. $135.95 C. $144.15 D. $156.05 : B. Create an equation to solve this problem. This problem requires both multiplication and addition. 6($6.25) + 11($5.95) + 6($5.50) = $37.50 + $65.45 + $33.00 = $135.95

Sylvia wants to plant flowers in a window box that measures 48 inches long, 10 inches high, and 18 inches wide. If a bag of potting soil holds 1,440 cubic inches of soil, how many bags should she purchase? A. 2 B. 4 C. 6 D. 8 : C

During the first year of life, a whale gains about 30 tons of weight. What is the average weight gain per month? A. 1.2 tons B. 2.5 tons C. 2.9 tons D. 3.1 tons : B. To calculate the average, take the number of tons and divide by the number of months. 30/12 = 2.5 tons per month