| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
What is \( \sqrt{\frac{25}{25}} \)?
| \(\frac{1}{3}\) | |
| \(\frac{1}{2}\) | |
| \(\frac{3}{8}\) | |
| 1 |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{25}{25}} \)
\( \frac{\sqrt{25}}{\sqrt{25}} \)
\( \frac{\sqrt{5^2}}{\sqrt{5^2}} \)
1
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 5 | |
| 3 | |
| 6 | |
| 2 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5
8 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 5 | |
| 4 | |
| 2 |
There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 8 people needing transportation leaving 8 - 4 = 4 who will have to find other transportation.
How many hours does it take a car to travel 120 miles at an average speed of 60 miles per hour?
| 2 hours | |
| 7 hours | |
| 3 hours | |
| 6 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{120mi}{60mph} \)
2 hours
A triathlon course includes a 100m swim, a 50.2km bike ride, and a 11.9km run. What is the total length of the race course?
| 28km | |
| 52.5km | |
| 62.2km | |
| 64km |
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 + 11.9km
total distance = 62.2km