1989 AMC 8

What is the value of

$$
\begin{aligned} &(1 + 11 + 21 + 31 + 41) \\ &\quad {}+ (9 + 19 + 29 + 39 + 49)? \end{aligned}
$$

What is the value of

$$
\frac{2}{10} + \frac{4}{100} + \frac{6}{1000}?
$$

Which of the following numbers is the largest?

Estimate to determine which of the following is closest to

$$
\frac{401}{0.205}.
$$

What is the value of

$$
-15 + 9 \times (6 \div 3)?
$$

If the markings on the number line shown are equally spaced, what is the number $y?$

The value of $20$ quarters and $10$ dimes equals the value of $10$ quarters and $n$ dimes. What is $n?$

What is the value of

$$
(2 \times 3 \times 4)\left(\frac{1}{2} + \frac{1}{3} + \frac{1}{4}\right)?
$$

There are $2$ boys for every $3$ girls in Ms. Johnson’s math class. If there are $30$ students in her class, what percent of them are boys?

How many degrees are in the smaller angle between the hour hand and the minute hand of a clock that reads seven o’clock?

Which of the five “T-like shapes” would be symmetric to the one shown with respect to the dashed line?



**(A)**

**(B)**

**(C)**

**(D)**

**(E)**

What is the value of

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

Which of the following is equal to

$$
\frac{9}{7 \times 53}?
$$

When placing each of the digits $2,$ $4,$ $5,$ $6,$ $9$ in exactly one of the boxes of this subtraction problem, what is the smallest difference that is possible?

In parallelogram $ABCD$ shown, what is the area of the shaded region $BEDC?$

In how many ways can $47$ be written as the sum of two primes?

The number $N$ is between $9$ and $17.$ Which of the following could be the average of $6,$ $10,$ and $N?$

A calculator has a reciprocal key that replaces the number currently displayed with its reciprocal. For example, if the display shows $4$ and the key is pressed, the display becomes $0.25.$ If $32$ is currently displayed, what is the fewest number of times the reciprocal key must be pressed so that the display again reads $32?$

The graph below shows the total accumulated dollars (in millions) spent by the Surf City government during $1988.$ For example, about $0.5$ million had been spent by the beginning of February and approximately $2$ million by the end of April. Approximately how many millions of dollars were spent during the summer months of June, July, and August?

The figure shown may be folded along the lines to form a number cube. Three faces come together at each corner of the cube. What is the largest sum of three numbers whose faces come together at a corner?