Arithmetic Reasoning – Test 1

Including 8% sales tax, an inn charges $162 per night. Find the inn's nightly cost before the tax is added.

The Deepwater Horizon oil spill resulted in 4.9 million barrels of oil spilling into the Gulf of Mexico. Each barrel of oil can be processed into about 19 gallons of gasoline.  How many cars could this have fueled for a year?  (Assume an average car gets 20 miles to the gallon, and drives about 12,000 miles in a year.)

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

A website says that you’ll need 48 fifty-pound bags of sand to fill a sandbox that measure 8ft by 8ft by 1ft. How many bags would you need for a sandbox 6ft by 4ft by 1ft?

At 2:00 p.m. two cars start toward each other from towns 240 miles apart. If the rate of one car is 10 mph faster than the other, how fast does each car go if they meet at 5:00 p.m.?

How much pure water must be added to a vat containing 10 liters of 60% solution of acid to dilute it into a 20% solution of acid?

Find a unit rate: You bought 10 pounds of potatoes for $4.

In the news, you hear “tuition is expected to increase by 7% next year.”  If tuition this year was $1200 per quarter, what will it be next year?

Convert 8 feet to inches.

Out of 230 racers who started the marathon, 212 completed the race, 14 gave up, and 4 were disqualified. About what percentage did not complete the marathon?

Dave has picked 68 apples. How many bags can he fill if he puts at least 9 apples in each bag?

A political scientist surveys 28 of the current 106 representatives in a state's congress.   Of them, 14 said they were supporting a new education bill, 12 said there were not supporting the bill, and 2 were undecided. What is the size of the population?

An investor wants to receive $1000 annually from two investments. He has put $4500 in a money market account paying 4% annual interest. How much should he invest in a stock fund that pays 10% annual interest to achieve this goal?

The sales tax in a town is 9.4%. How much tax will you pay on a $140 purchase?

A project on Kickstarter.com was aiming to raise $15,000 for a precision coffee press. They ended up with 714 supporters, raising 557% of their goal.  How much did they raise?

A brick wall falls over, leaving 24 inches standing. If 5/8 of the wall has fallen, how many inches of brick are needed to rebuild the wall?