| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
If there were a total of 400 raffle tickets sold and you bought 16 tickets, what's the probability that you'll win the raffle?
| 4% | |
| 13% | |
| 17% | |
| 5% |
You have 16 out of the total of 400 raffle tickets sold so you have a (\( \frac{16}{400} \)) x 100 = \( \frac{16 \times 100}{400} \) = \( \frac{1600}{400} \) = 4% chance to win the raffle.
Alex loaned Christine $1,200 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,236 | |
| $1,272 | |
| $1,248 | |
| $1,212 |
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 $1,200
i = 0.01 x $1,200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,200 + $12What is \( \frac{3}{8} \) ÷ \( \frac{2}{6} \)?
| \(\frac{9}{56}\) | |
| 9 | |
| \(\frac{1}{12}\) | |
| 1\(\frac{1}{8}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{8} \) ÷ \( \frac{2}{6} \) = \( \frac{3}{8} \) x \( \frac{6}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{6}{2} \) = \( \frac{3 x 6}{8 x 2} \) = \( \frac{18}{16} \) = 1\(\frac{1}{8}\)
A triathlon course includes a 100m swim, a 50.2km bike ride, and a 18.8km run. What is the total length of the race course?
| 48.5km | |
| 33.7km | |
| 69.1km | |
| 43.5km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 50.2km + 18.8km
total distance = 69.1km
Convert 2,577,000 to scientific notation.
| 25.77 x 105 | |
| 0.258 x 107 | |
| 2.577 x 105 | |
| 2.577 x 106 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
2,577,000 in scientific notation is 2.577 x 106