| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
A bread recipe calls for 3\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{3}{8}\) cups, how much more flour is needed?
| 3\(\frac{3}{8}\) cups | |
| \(\frac{7}{8}\) cups | |
| \(\frac{5}{8}\) cups | |
| 2 cups |
The amount of flour you need is (3\(\frac{3}{8}\) - 1\(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{27}{8} \) - \( \frac{11}{8} \)) cups
\( \frac{16}{8} \) cups
2 cups
What is \( \frac{10\sqrt{15}}{5\sqrt{5}} \)?
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{2}} \) | |
| 3 \( \sqrt{\frac{1}{2}} \) | |
| 3 \( \sqrt{2} \) | |
| 2 \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{10\sqrt{15}}{5\sqrt{5}} \)
\( \frac{10}{5} \) \( \sqrt{\frac{15}{5}} \)
2 \( \sqrt{3} \)
In a class of 20 students, 7 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 17 | |
| 15 | |
| 5 | |
| 11 |
The number of students taking German or Spanish is 7 + 12 = 19. Of that group of 19, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 19 - 4 = 15 who are taking at least one language. 20 - 15 = 5 students who are not taking either language.
If a car travels 180 miles in 3 hours, what is the average speed?
| 50 mph | |
| 25 mph | |
| 60 mph | |
| 40 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \frac{3}{5} \) x \( \frac{3}{8} \)?
| \(\frac{12}{49}\) | |
| \(\frac{1}{9}\) | |
| \(\frac{9}{40}\) | |
| 1\(\frac{1}{8}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{5} \) x \( \frac{3}{8} \) = \( \frac{3 x 3}{5 x 8} \) = \( \frac{9}{40} \) = \(\frac{9}{40}\)