Mathcounts Sprint Practice

What is the value of 1024 - 512 - 256 - 128 - 64 - 32 - 16 - 8 - 4 - 2 - 1?

At Berwick Area High School's graduation ceremony, 186 names are to be read at a rate of one name every 10 seconds. How many minutes will it take for the names to be read? (Only type the numerical value -- units are minutes!)

A rectangle with perimeter 18 inches has a length that is one-third of the whole perimeter. What is the rectangle's width, in inches? (Again, only include a numerical answer!)

If (37 * 55) - 75 were calculated, what would be the units digit of the result?

Zeno's rabbit will hop halfway toward any carrot placed within range until it gets within 4 inches of the carrot -- then it runs, grabs, and eats the carrot! How many times would Zeno's rabbit hop to get a carrot that is 10 feet away?

Julia currently has 6 shirts and 8 pants. She then buys 2 more shirts. If a unique outfit is a unique combination of a shirt and pants, how many more outfits does she have after buying the additional shirts?

Seven pounds of Mystery Meat and four pounds of Tastes Like Chicken combined cost $78.00. Tastes Like Chicken costs $3 per pound more than Mystery Meat. How many dollars per pound does Mystery Meat cost?

A rectangle with integer dimensions has an area of 24 cm² and a perimeter of 22 cm. Give the length of the shortest of its sides in centimeters.

Farmer Hank has a larger herd of swine, but fewer than 100 pigs and quite a few pens for them to live in. When he groups in pens by threes, he has no pigs left over. When he groups them in pens by fives, he has three pigs left over. When he groups them in pens by sevens, he has one pig left over. How many pigs does Farmer Hank have?

Three people can paint 5 rooms in 2 days. How many days does it take 6 people to paint 15 rooms?