Algebra
24.57 more than 6 times a number is 56.37. What is the number?
5.3
There are 76 mice in the barn. If the ratio of brown mice to gray mice is 1:3 how many gray mice are there?
57 gray mice
Ashlynn went to New York City last summer. While she was there she took a 15 minute ferry ride to Liberty Island and toured the Statue of Liberty. She climbed the 162 stairs to the top and looked at the beautiful view of New York Harbor. They spent 2 1/2 hours on Liberty Island. If they left Manhattan at 12:47 pm, what time did they get back?
3:32 pm
During the recess football game, Evan caught three passes. One was for a touchdown and went 54 yards. The other was for a first down and was 13 yards. The last one was for a screen pass that did not work out so well and ended up gaining -14 yards. What was the total yardage gained by Evan on the pass plays?
53 yards
Liam and his grandfather picked apples from the apple orchard and pressed them to make cider. When the kettle was full, they would pour the cider into bottles that they kept in the shed over a cool stream. When it was time to go to the market, they took some of the cider with them to sell. If each bottle held 2.1 quarts of cider, how many bottles could they fill from a 6.3-gallon kettle?
12 bottles
The sum of 33 and 46 is 16 more than a number. What is the number?
63
If the ratio of football players to volleyball players at the high school is 5:1 and there are 78 football and volleyball players, how many volleyball players are there?
13 volleyball players
Muriel said, "I don't understand all of this technical stuff. The instructions say I should compress my files. How do I do that?" The software manual that came with the software had very clear instructions but Muriel liked being contrary, so she never read the instructions. The software will compress the file 1/10 of its uncompressed size. If it used 123,538 bytes, how many bytes would the new file take up? Round to the nearest whole number.
12,354 bytes
There was a 10-mile race at the BCS track. The winning runner had a time of 68 minutes. The next four runners in order of finish had times (relative to the winning time) of +2, +3.2, +3.6, and +4.5 minutes. The sixth-place runner had a time that was 3 minutes slower than the runners ahead of them. What was the sixth-place running time? Give your answer in hours, minutes, and seconds.
1 hour, 15 minutes, and 30 seconds
According to Newton's second law of motion, the force required to accelerate an object is equal to the mass of the object times the acceleration (F=ma). If a toy car has a mass of 0.08 kg and is accelerated at 0.15 m/s2 what is the force (in kg x m/s2) required?
0.012 N
If 6 is added to 16 times a number, the result is 172. What is the number?
10.375
You have a set of numbers (-2, -5, -6, -9, 2, 4 -3, 3) What is the ratio of positive numbers to negative numbers?
3:5
Mr. Bailey is preparing to give some land to his grandchildren. He has nine grandchildren and 259 acres of land to give away. He wants to give them all an equal amount. How many acres should each grandchild get? (State your answer as a mixed fraction)
28 7/9 acres of land
Abby, Meredith, Sophia, and Reegan went to play a round of golf (18 holes). Par for the course was 71. The players had the following scores (relevant to par): -2, -3, +3, +1. What was the winning score? (Lowest score wins).
68
A box full of geodes was put up for sale at an auction. Averie decided to bid on them. She checked them out beforehand and counted 16 geodes in the box. She decided she was willing to pay $1.85 a piece for them. What should her maximum bid be?
$29.60
If a number is decreased by 9, the result is 64. What is the number?
73
Which is bigger, 1/3 of 33 or 1/5 of 125?
1/5 of 125
Ms. Thibodeau's dad harvests 114 ears of maize every hour. How many ears does he harvest in three-fifths of an hour?
68 2/5 or 68.4 ears of corn
A racecar goes from 0 MPH to 181 MPH in 25 seconds. What is the car's acceleration? Round your answer to the nearest tenth.
7.2 MPH/s
Jace decided to ride his bike to school instead of walking. It is 2.7 miles from his house. If he can ride 7.1 miles per hour, how many minutes will it take him to get there? Round your answer to the nearest minute.
23 minutes
Two-thirds of a number equals 8. What is the number?
12
It was recently estimated by the Extraterrestrial Alien Monitoring Agency, that unregistered extraterrestrials outnumber registered ones by about eight to six. If there are a total of 1,778 extraterrestrials, about how many of them are registered?
About 762 registered extraterrestrials
Carson bought a box of Fortnite stickers to put on his binder. There were 3,000 stickers in the box, so he could not use some of them. One-tenth of them were stuck so tightly together that he could not detach them from each other. He didn't like sixty-eight of them. One-fourth of them had no glue on the back. How many were left that he could use?
He could use 1,882 stickers
In golf, the average score a good player should be able to achieve is called par. Par for a whole course is calculated by adding up the par scores for each hole. Scores in golf are often expressed at some number either greater than or less than par. Mrs. Davis is having a pretty good day at the Penobscot Valley Country Club. Her score so far after 15 holes is -5. If par for 15 holes is 64, what is her score?
59
A crate of petrified wood recently sold at a local auction. There were about 26 pieces and the total weight of the pieces was 285.63 pounds. What was the average weight per piece? Round your answer to the hundredth place.
$10.99