Question bank AMC8 2012

Rachelle uses $3$ pounds of meat to make $8$ hamburgers for her family. How many pounds of meat does she need to make $24$ hamburgers for a neighborhood picnic?

In the county of East Westmore, statisticians estimate there is a baby born every $ 8 $ hours and a death every day. To the nearest hundred, how many people are added to the population of East Westmore each year?

On February $13$ *The Oshkosh Northwester* listed the length of daylight as $10$ hours and $24$ minutes, the sunrise as $6:57\text{ AM},$ and the sunset as $ 8:15\text{PM} .$ The length of daylight and sunrise were correct, but the sunset was wrong. When did the sun really set?

Peter’s family ordered a $12$-slice pizza for dinner. Peter ate one slice and shared another slice equally with his brother Paul. What fraction of the pizza did Peter eat?

In the diagram, all angles are right angles and the lengths of the sides are given in centimeters. Note the diagram is not drawn to scale. What is $X$, in centimeters?

A rectangular photograph is placed in a frame that forms a border two inches wide on all sides of the photograph. The photograph measures $8$ inches high and $10$ inches wide. What is the area of the border, in square inches?

Isabella must take four $100$-point tests in her math class. Her goal is to achieve an average grade of at least $95$ on the tests. Her first two test scores were $97$ and $91.$ After seeing her score on the third test, she realized that she could still reach her goal. What is the lowest possible score she could have made on the third test?

A shop advertises that everything is “half price in today’s sale.” In addition, a coupon gives a $20\%$ discount on sale prices. Using the coupon, the price today represents what percentage discount off the original price?

The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted $200$ heads and $522$ legs. How many of the animals that Margie counted were two-legged birds?

How many $4$-digit numbers greater than $1000$ are there that use the four digits of $2012?$

The mean, median, and unique mode of the positive integers $3,$ $4,$ $5,$ $6,$ $6,$ $7,$ and $x$ are all equal. What is the value of $x?$

What is the units digit of $13^{2012}?$

Jamar bought some pencils costing more than a penny each at the school bookstore and paid $\$1.43.$ Sharona bought some of the same pencils and paid $\$1.87.$ How many more pencils did Sharona buy than Jamar?

In the BIG N, a middle school football conference, each team plays every other team exactly once. If a total of $21$ conference games were played during the $2012$ season, how many teams were members of the BIG N conference?

The smallest number greater than $2$ that leaves a remainder of $2$ when divided by $3,$ $4,$ $5,$ or $6$ lies between what numbers?

Each of the digits $0,$ $1,$ $2,$ $3,$ $4,$ $5,$ $6,$ $7,$ $8,$ and $9$ is used only once to make two five-digit numbers so that they have the largest possible sum. Which of the following could be one of the numbers?

A square with an integer side length is cut into $10$ squares, all of which have integer side length and at least $8$ of which have area $1.$ What is the smallest possible value of the length of the side of the original square?

What is the smallest positive integer that is neither prime nor square and that has no prime factor less than $50?$

In a jar of red, green, and blue marbles, all but $6$ are red marbles, all but $8$ are green, and all but $4$ are blue. How many marbles are in the jar?

What is the correct ordering of the three numbers $ \frac{5}{19} ,$ $ \frac{7}{21} ,$ and $ \frac{9}{23} ,$ in increasing order?