Question bank AMC8 1986

In July $1861,$ $366$ inches of rain fell in Cherrapunji, India. What was the average rainfall in inches per hour during that month?

Which of the following numbers has the largest reciprocal?

The smallest sum one could get by adding three different numbers from the set $\{7, 25, -1, 12, -3\}$ is

The product $(1.8)(40.3 + 0.07)$ is closest to

A contest began at noon one day and ended $1000$ minutes later. At what time did the contest end?

What is the value of the following expression?

$$
\frac{2}{1 - \frac{2}{3}}
$$

How many whole numbers are between $\sqrt{8}$ and $\sqrt{80}?$

In the multiplication shown, $B$ represents a digit. What is the value of $B?$

$$
\begin{array}{r} B2 \\ \times\, 7B \\ \hline 6396 \end{array}
$$

Using only the paths and the directions shown, how many different routes are there from $M$ to $N?$

A picture $3$ feet across is hung in the center of a wall that is $19$ feet wide. How many feet from the end of the wall is the nearest edge of the picture?

If $A * B$ means $\dfrac{A + B}{2},$ then $(3 * 5) * 8$ is

The table shown displays the grade distribution of the $30$ students in a mathematics class on the last two tests. For example, exactly one student received a ‘D’ on Test $1$ and a ‘C’ on Test $2$ (the circled entry). What percent of the students received the same grade on both tests?

The perimeter of the polygon shown is

If $200 \le a \le 400$ and $600 \le b \le 1200,$ then the largest value of the quotient $\dfrac{b}{a}$ is

Sale prices at the Ajax Outlet Store are $50\%$ below original prices. On Saturdays an additional discount of $20\%$ off the sale price is given. What is the Saturday price of a coat whose original price is $\$180?$

A bar graph shows the number of hamburgers sold by a fast food chain each season. However, the bar indicating the number sold during the winter is covered by a smudge. If exactly $25\%$ of the chain’s hamburgers are sold in the fall, how many million hamburgers are sold in the winter?

Let $o$ be an odd whole number and let $n$ be any whole number. Which of the following statements about the whole number $o^2 + no$ is always true?

A rectangular grazing area is to be fenced off on three sides using part of a $100$ meter rock wall as the fourth side. Fence posts are to be placed every $12$ meters along the fence, including the two posts where the fence meets the rock wall. What is the fewest number of posts required to fence an area $36$ m by $60$ m?

At the beginning of a trip, the mileage odometer read $56{,}200$ miles. The driver filled the gas tank with $6$ gallons of gasoline. During the trip, the driver filled the tank again with $12$ gallons of gasoline when the odometer read $56{,}560.$ At the end of the trip, the driver filled the tank again with $20$ gallons of gasoline; the odometer read $57{,}060.$ To the nearest tenth, what was the car’s average miles-per-gallon for the entire trip?

The value of the expression

$$
\frac{(304)^5}{(29.7)(399)^4}
$$

is closest to