Practice (EndingDigits,TheDivideByNineMethod,MODBasic)
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At a university\u2019s graduation ceremony, 690 names are to be read at a pace of one name every 10 seconds. How many minutes will it take to read all of the names?
The apples collected by Ms. Pinski's class are represented in the bar graph shown. How many more red apples than yellow apples were collected?
The perimeter of a particular rectangle is 18 cm, and the length of the rectangle is one-third its perimeter. What is the width of the rectangle?
One-half of the sum of $n$ and 8 is equal to 7. What is the value of $n$?
When $(37 \times 45) - 15$ is simplified, what is the units digit?
One witness to a crime said that the suspect was 25 years old and 69 inches tall. A second witness claimed that the suspect was 35 years old and 74 inches tall. The third witness reported that the suspect was 65 inches tall and 35 years old. Each witness correctly identified either the suspect's height or age, but not both. If $a$ is the suspect's age in years, and $b$ is the suspect's height in inches, what is the value of the sum $a + b$?
Zeno's pet rabbit always jumps halfway to a carrot no matter how far away he is from the carrot. He will eat the carrot if he lands within 6 inches of it. How many times must Zeno's rabbit jump to eat a carrot that is initially 12 feet away?
Mellie has 6 pairs of pants and 10 shirts. She then buys 2 more pairs of pants. If an outfit consists of a pair of pants and a shirt, how many more outfits can Mellie make now compared to the number that she could make before this purchase?
Two equilateral triangles are drawn in a square, as shown. In degrees, what is the measure of each obtuse angle in the rhombus formed by the intersection of the two triangles?
Seven pounds of Mystery Meat and four pounds of Tastes Like Chicken cost \$78.00. Tastes Like Chicken costs \$3.00 more per pound than Mystery Meat. In dollars, how much does a pound of Mystery Meat cost?
The perimeter of a rectangle is 22 cm and its area is 24 $cm^2$. What is the smaller of the two integer dimensions of the rectangle?
On Tuesdays, Mr. Cansetti walks from his home, located at one end of Main Street, to the grocery store at the other end of Main Street. On his way down Main Street, he passes the post office and the police station, in that order. Mr. Cansetti's home is 7.5 blocks from to the police station. The post office is 6 blocks from the grocery store and 3.5 blocks from the police station. How many blocks does Mr. Cansetti walk from his home to the grocery store?
Farmer Hank has fewer than $100$ pigs on his farm. If he groups the pigs five to a pen, there are always three pigs left over. If he groups the pigs seven to a pen, there is always one pig left over. However, if he groups the pigs three to a pen, there are no pigs left over. What is the greatest number of pigs that Farmer Hank could have on his farm?
Three people can paint 5 rooms in 2 days. Working at this same rate, how many days will it take 6 people to paint 15 rooms?
At the school's carnival, one game featured this unique square dartboard with five smaller, shaded squares, shown here. The length of a side of the square dartboard is 4 times the length of a side of any of the five congruent, shaded squares. To win a prize, a player's dart has to land in a shaded region. If a player's dart randomly hits the dartboard, what is the probability of her winning a prize? Express your answer as a common fraction.
A line passes through the points (-2, 8) and (5, -13). When the equation of the line is written in the form $y = mx + b$, what is the product of $m$ and $b$?
Mr. Mayfeld is designing a sign for his ice cream shop. The sign will be a shape consisting of a semicircle and an isosceles triangle that he will paint to look like a cone with a scoop of ice cream. He will cut the figure out of a rectangular piece of plywood measuring 2 ft by 4 ft, as shown. The shaded regions will be cut away. If BE = 3BG and $\overline{AB}$ is parallel to $\overline{CE}$ , what is the total area of the resulting figure? Express your answer as a decimal to the nearest tenth.
A state license plate contains the state logo in the center, preceded by three letters and followed by three digits. If the first two letters must both be consonants, excluding Y, how many different license plates are possible?
A right square pyramid has a base with a perimeter of 36 cm and a height of 12 cm. At one-third of the distance up from the base to the apex, the pyramid is cut by a plane parallel to its base. What is the volume of the top pyramid?
Four integers are chosen from 1 to 10, inclusive, with repetition allowed. What is the greatest possible difference between the mean and the median of the four integers? Express your answer as a common fraction.
Jay and Mike were walking home with heavy books in their backpacks. When Mike complained about the weight in his backpack, Jay remarked, "If I take one of your books, I will be carrying twice as many books as you will be carrying, but if you take one of my books, we'll be carrying the same number of books." How many books is Mike carrying in his backpack?
A right rectangular prism has a volume of 720 $cm^3$. Its surface area is 484 $cm^2$. If all edge lengths are integers, what is the length of the longest segment that can be drawn that connects two vertices? Express your answer in simplest radical form.
Avi and Hari agree to meet at their favorite restaurant between 5:00 p.m. and 6:00 p.m. They have agreed that the person who arrives first will wait for the other only 15 minutes before leaving. What is the probability that the two of them will actually meet at the restaurant, assuming that the arrival times are random within the hour? Express your answer as a common fraction.
When the local convenience store was bought by a new owner, the old sodas were replaced by new ones that were 20% larger. In addition, the price of the new, larger sodas was 20% less than the price of the old, smaller sodas. What is the ratio of the cost per ounce for the old soda to the cost per ounce for the new soda? Express your answer as a common fraction.
Working in pairs, Alana and Bob can complete a job in 2 hours, Bob and Cody can do the job in 3 hours, and Alana and Cody can do the same job in 4 hours. How many hours will it take for Alana, Bob and Cody working together to complete this job? Express your answer as a common fraction.