OAR Math Skills: Word Problems Questions and Answers Flashcards

A Navy ship uses 350 gallons of fuel per hour at full speed and 150 gallons per hour at half speed. If it travels at full speed for 3 hours and half speed for 5 hours, how many gallons of fuel does it use?

Answer: 1,800

Full speed uses 350 × 3 = 1,050 gallons and half speed uses 150 × 5 = 750 gallons, totaling 1,800 gallons.

An officer's monthly pay is $4,800. If 28% goes to housing and 12% goes to insurance, how much remains after these two deductions?

Answer: $2,880

Housing and insurance together take 40% ($1,920), leaving 60% of $4,800 = $2,880.

A convoy of 8 trucks must deliver 2,400 crates. If 3 trucks break down before loading, how many crates must each remaining truck carry?

Answer: 480

With 3 trucks broken, 5 trucks remain, and 2,400 ÷ 5 = 480 crates per truck.

A cadet scores 78, 85, and 92 on three exams. What score must he earn on the fourth exam to achieve an average of 88?

Answer: 97

The four scores must total 352 (88 × 4), and 352 − (78 + 85 + 92) = 352 − 255 = 97.

A storage facility charges $1.25 per square foot per month. If a unit measures 10 feet by 14 feet, what is the total cost for 6 months?

Answer: $1,050

The unit is 140 sq ft (10 × 14), costing $175/month (140 × $1.25), so 6 months costs $175 × 6 = $1,050.

Two aircraft leave the same base at the same time, one flying north at 300 mph and the other flying east at 400 mph. How far apart are they after 2 hours?

Answer: 1,000 miles

After 2 hours they are 600 miles and 800 miles apart respectively, and √(600² + 800²) = √1,000,000 = 1,000 miles.