| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
Which of the following is not a prime number?
2 |
|
5 |
|
7 |
|
9 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
The total water usage for a city is 40,000 gallons each day. Of that total, 32% is for personal use and 51% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 7,600 | |
| 5,600 | |
| 5,400 | |
| 3,600 |
51% of the water consumption is industrial use and 32% is personal use so (51% - 32%) = 19% more water is used for industrial purposes. 40,000 gallons are consumed daily so industry consumes \( \frac{19}{100} \) x 40,000 gallons = 7,600 gallons.
How many 1 gallon cans worth of fuel would you need to pour into an empty 4 gallon tank to fill it exactly halfway?
| 2 | |
| 5 | |
| 4 | |
| 9 |
To fill a 4 gallon tank exactly halfway you'll need 2 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{2 \text{ gallons}}{1 \text{ gallons}} \) = 2
What is \( \frac{3}{9} \) ÷ \( \frac{1}{6} \)?
| 2 | |
| \(\frac{1}{7}\) | |
| 18 | |
| \(\frac{1}{5}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{9} \) ÷ \( \frac{1}{6} \) = \( \frac{3}{9} \) x \( \frac{6}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{9} \) x \( \frac{6}{1} \) = \( \frac{3 x 6}{9 x 1} \) = \( \frac{18}{9} \) = 2
Charlie loaned Diane $500 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $515 | |
| $540 | |
| $525 | |
| $505 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $500
i = 0.05 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $25