| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
How many 8-passenger vans will it take to drive all 56 members of the football team to an away game?
| 7 vans | |
| 5 vans | |
| 6 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{56}{8} \) = 7
A circular logo is enlarged to fit the lid of a jar. The new diameter is 30% larger than the original. By what percentage has the area of the logo increased?
| 25% | |
| 30% | |
| 15% | |
| 22\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 30% the radius (and, consequently, the total area) increases by \( \frac{30\text{%}}{2} \) = 15%
Convert 0.0005932 to scientific notation.
| 0.593 x 10-3 | |
| 59.32 x 10-5 | |
| 5.932 x 10-4 | |
| 5.932 x 10-5 |
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:
0.0005932 in scientific notation is 5.932 x 10-4
If a car travels 135 miles in 9 hours, what is the average speed?
| 30 mph | |
| 60 mph | |
| 15 mph | |
| 75 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Convert y-4 to remove the negative exponent.
| \( \frac{-4}{y} \) | |
| \( \frac{1}{y^{-4}} \) | |
| \( \frac{-1}{-4y^{4}} \) | |
| \( \frac{1}{y^4} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.