ACT Math Medium practice

What is the median of the data set $\{4,9,2,7,5,1,8\}$?

Water is pumped into a tank at 12 gallons per minute and drained at 5 gallons per minute. If the tank starts empty and holds at most 350 gallons, after how many minutes will the tank be full?

A store marks up items by 40% to set the retail price, then offers a 25% coupon. A customer buys an item whose wholesale cost was \80$. What does the customer pay?

A population of bacteria doubles every 3 hours. Starting with 500 bacteria, approximately how many bacteria are there after 12 hours?

In right triangle $ABC$ with the right angle at $C$, if $\sin A=\frac{3}{5}$, what is $\cos A$?

A savings account earns 4% annual interest, compounded annually. If \1{,}000$ is deposited today, what is the balance after 3 years?

If $f(x)=2x^2-3x+1$, what is $f(-1)$?

A runner completes the first half of a race at 8 mph and the second half at 12 mph. What is the runner's average speed for the entire race?

(Note: the race is split by distance, not time.)

A cylindrical can has a radius of 3 cm and a height of 10 cm. A second cylindrical can has the same volume but a radius of 5 cm. What is the height of the second can, in cm?

The expression ${\sin }^2\theta +{\cos }^2\theta$ equals:

A class of 30 students took a test. The average score was 74. Then 5 more students took the same test and scored an average of 82. What is the overall average score of all 35 students?