AMC 8 1989

$(1+11+21+31+41)+(9+19+29+39+49)=$ $\text{(A)}\ 150 \text{(B)}\ 199 \text{(C)}\ 200 \text{(D)}\ 249 \text{(E)}\ 250$

$\frac{2}{10}+\frac{4}{100}+\frac{6}{1000}=$ $\text{(A)}\ .012 \text{(B)}\ .0246 \text{(C)}\ .12 \text{(D)}\ .246 \text{(E)}\ 246$

Which of the following numbers is the largest? $\text{(A)}\ .99 \text{(B)}\ .9099 \text{(C)}\ .9 \text{(D)}\ .909 \text{(E)}\ .9009$

Estimate to determine which of the following numbers is closest to $\frac{401}{.205}$. $\text{(A)}\ .2 \text{(B)}\ 2 \text{(C)}\ 20 \text{(D)}\ 200 \text{(E)}\ 2000$

$-15+9\times (6\div 3) =$ $\text{(A)}\ -48 \text{(B)}\ -12 \text{(C)}\ -3 \text{(D)}\ 3 \text{(E)}\ 12$

If the markings on the number line are equally spaced, what is the number $\text{y}$?

$\text{(A)}\ 3 \text{(B)}\ 10 \text{(C)}\ 12 \text{(D)}\ 15 \text{(E)}\ 16$

If the value of $20$ quarters and $10$ dimes equals the value of $10$ quarters and $n$ dimes, then $n=$ $\text{(A)}\ 10 \text{(B)}\ 20 \text{(C)}\ 30 \text{(D)}\ 35 \text{(E)}\ 45$

$(2\times 3\times 4)\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right) =$ $\text{(A)}\ 1 \text{(B)}\ 3 \text{(C)}\ 9 \text{(D)}\ 24 \text{(E)}\ 26$

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? $\text{(A)}\ 12\% \text{(B)}\ 20\% \text{(C)}\ 40\% \text{(D)}\ 60\% \text{(E)}\ 66\frac{2}{3}\%$

What is the number of degrees in the smaller angle between the hour hand and the minute hand on a clock that reads seven o'clock? $\text{(A)}\ 50^\circ \text{(B)}\ 120^\circ \text{(C)}\ 135^\circ \text{(D)}\ 150^\circ \text{(E)}\ 165^\circ$

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

$\frac{1-\frac{1}{3}}{1-\frac{1}{2}} =$ $\text{(A)}\ \frac{1}{3} \text{(B)}\ \frac{2}{3} \text{(C)}\ \frac{3}{4} \text{(D)}\ \frac{3}{2} \text{(E)}\ \frac{4}{3}$

$\frac{9}{7\times 53} =$ $\text{(A)}\ \frac{.9}{.7\times 53} \text{(B)}\ \frac{.9}{.7\times .53} \text{(C)}\ \frac{.9}{.7\times 5.3} \text{(D)}\ \frac{.9}{7\times .53} \text{(E)}\ \frac{.09}{.07\times .53}$

The area of the shaded region $\text{BEDC}$ in parallelogram $\text{ABCD}$ is

$\text{(A)}\ 24 \text{(B)}\ 48 \text{(C)}\ 60 \text{(D)}\ 64 \text{(E)}\ 80$

In how many ways can $47$ be written as the sum of two primes? $\text{(A)}\ 0 \text{(B)}\ 1 \text{(C)}\ 2 \text{(D)}\ 3 \text{(E)}\ \text{more than 3}$

The number $\text{N}$ is between $9$ and $17$. The average of $6$, $10$, and $\text{N}$ could be $\text{(A)}\ 8 \text{(B)}\ 10 \text{(C)}\ 12 \text{(D)}\ 14 \text{(E)}\ 16$

Many calculators have a reciprocal key $\boxed{\frac{1}{x}}$ that replaces the current number displayed with its reciprocal. For example, if the display is $\boxed{00004}$ and the $\boxed{\frac{1}{x}}$ key is depressed, then the display becomes $\boxed{000.25}$. If $\boxed{00032}$ is currently displayed, what is the fewest number of times you must depress the $\boxed{\frac{1}{x}}$ key so the display again reads $\boxed{00032}$? $\text{(A)}\ 1 \text{(B)}\ 2 \text{(C)}\ 3 \text{(D)}\ 4 \text{(E)}\ 5$

The graph below shows the total accumulated dollars (in millions) spent by the Surf City government during $1988$. For example, about $.5$ 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?

$\text{(A)}\ 1.5 \text{(B)}\ 2.5 \text{(C)}\ 3.5 \text{(D)}\ 4.5 \text{(E)}\ 5.5$

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

$\text{(A)}\ 11 \text{(B)}\ 12 \text{(C)}\ 13 \text{(D)}\ 14 \text{(E)}\ 15$

Jack had a bag of $128$ apples. He sold $25\%$ of them to Jill. Next he sold $25\%$ of those remaining to June. Of those apples still in his bag, he gave the shiniest one to his teacher. How many apples did Jack have then? $\text{(A)}\ 7 \text{(B)}\ 63 \text{(C)}\ 65 \text{(D)}\ 71 \text{(E)}\ 111$

An artist has $14$ cubes, each with an edge of $1$ meter. She stands them on the ground to form a sculpture as shown. She then paints the exposed surface of the sculpture. How many square meters does she paint? $\text{(A)}\ 21 \text{(B)}\ 24 \text{(C)}\ 33 \text{(D)}\ 37 \text{(E)}\ 42$

Suppose a square piece of paper is folded in half vertically. The folded paper is then cut in half along the dashed line. Three rectangles are formed-a large one and two small ones. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle? $\text{(A)}\ \frac{1}{2} \text{(B)}\ \frac{2}{3} \text{(C)}\ \frac{3}{4} \text{(D)}\ \frac{4}{5} \text{(E)}\ \frac{5}{6}$

Every time these two wheels are spun, two numbers are selected by the pointers. What is the probability that the sum of the two selected numbers is even? $\text{(A)}\ \frac{1}{6} \text{(B)}\ \frac{3}{7} \text{(C)}\ \frac{1}{2} \text{(D)}\ \frac{2}{3} \text{(E)}\ \frac{5}{7}$