| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
What is \( \frac{3}{7} \) ÷ \( \frac{4}{8} \)?
| \(\frac{1}{5}\) | |
| 3\(\frac{3}{7}\) | |
| 6 | |
| \(\frac{6}{7}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{7} \) ÷ \( \frac{4}{8} \) = \( \frac{3}{7} \) x \( \frac{8}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{8}{4} \) = \( \frac{3 x 8}{7 x 4} \) = \( \frac{24}{28} \) = \(\frac{6}{7}\)
Christine scored 92% on her final exam. If each question was worth 4 points and there were 240 possible points on the exam, how many questions did Christine answer correctly?
| 50 | |
| 63 | |
| 51 | |
| 55 |
Christine scored 92% on the test meaning she earned 92% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.92 = 220 points. Each question is worth 4 points so she got \( \frac{220}{4} \) = 55 questions right.
A triathlon course includes a 500m swim, a 20.2km bike ride, and a 9.5km run. What is the total length of the race course?
| 43.1km | |
| 25.3km | |
| 44.5km | |
| 30.2km |
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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 20.2km + 9.5km
total distance = 30.2km
How many 1 gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 2 | |
| 3 | |
| 7 | |
| 6 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3
What is \( \frac{2}{8} \) x \( \frac{4}{8} \)?
| \(\frac{1}{21}\) | |
| \(\frac{1}{7}\) | |
| \(\frac{1}{8}\) | |
| \(\frac{2}{9}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{4}{8} \) = \( \frac{2 x 4}{8 x 8} \) = \( \frac{8}{64} \) = \(\frac{1}{8}\)