ASVAB: Arithmetic Reasoning

ASVAB: Arithmetic Reasoning Practice ASVAB questions and explanations for the arithmetic reasoning portion of the test. If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the tow cost? (a) $12.00 (b) $3.50 (c) $42.00 (d) $100.00 - ☑C. Multiply 12 miles by $3.50 per mile: 12 × $3.50 = $42.00 The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number? (a) 31 (b) 33 (c) 35 (d) 36 - ☑A. x + x + 8 = 70, solve for x. x = 31 A sales manager buys antacid in bottles the gross. If he goes through 3 bottles antacid everyday, how long will the gross last? (a) 144 days (b) 3 days (c) 20 days (d) 48 days - ☑D. 144 bottles in a gross, and 144 ÷ 3 (bottles per day) = 48 days. Jenny's test grades are 93,89, 96, and 98. If she wishes to raise her average to 95, what does she need to score on her next test? (a) 100 (b) 99 (c) 97 (d) 95 - ☑B. x = the unknown score. (93 + 89 + 96 + 98 + x) ÷ 5 or (376 + x) ÷ 5. Now solve for x A waitress earns an average of 12% of the cost of the food she serves. If she serves $375 worth of food in one evening, how much money in tips will she earn on average? (a) $37 (b) $45 (c) $42 (d) $420 - ☑B. Multiply the amount spent on drinks, $375, by 12% (or 0.12) to determine the amount of tips: $375 × 0.12 = $45 How many square feet of carpeting are needed to carpet a 12-foot × 12-foot room? (a) 24 (b) 120 (c) 48 (d) 144 - ☑D. To determine square footage multiply length by width 12 × 12 = 144 sq feet Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour now? (a) $0.57 (b) $8.90 (c) $8.72 (d) $13.85 - ☑C.To calculate the new wage first multiply $8.15 × 0.07 = $0.57. Then add that to the original wage, $8.15 + $0.57 = $8.72 Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later her husband Dave notices she forgot her cell phone and sets off after her. How fast must Dave travel in order to catch up with Alice 3 hours after he leaves? (a) 49 mph (b) 50.5 mph (c) 52.5 mph (d) 54 mph - ☑C. distance = speed × time. First find how far Alice had traveled 3½ hours at 45 mph, or 157.5 mph. Dave has three hours to cover this distance. Now find his speed. 157.5 mi ÷ 3 hr. = 52.5 mph Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00, but she was able to purchase the oil for $22.50 a case. How much money did Miriam save on her entire purchase? (a) $7.50 (b) $1.50 (c) $8.00 (d) $22.50 - ☑A. Subtract the sale price from the original price, $24.00 − $22.50 = $1.50. Now multiply that number by the amount of cases to get the final answer $1.50 × 5 = $7.50