| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
If a car travels 15 miles in 1 hour, what is the average speed?
| 35 mph | |
| 15 mph | |
| 40 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Find the average of the following numbers: 9, 7, 10, 6.
| 3 | |
| 12 | |
| 11 | |
| 8 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 7 + 10 + 6}{4} \) = \( \frac{32}{4} \) = 8
How many 7-passenger vans will it take to drive all 41 members of the football team to an away game?
| 9 vans | |
| 8 vans | |
| 6 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{41}{7} \) = 5\(\frac{6}{7}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
How many 2 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 6 | |
| 2 | |
| 9 | |
| 5 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{4 \text{ gallons}}{2 \text{ gallons}} \) = 2
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 12 small cakes per hour. The kitchen is available for 4 hours and 33 large cakes and 500 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 13 | |
| 16 | |
| 6 | |
| 9 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 2 x 4 = 8 large cakes during that time. 33 large cakes are needed for the party so \( \frac{33}{8} \) = 4\(\frac{1}{8}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 12 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 12 x 4 = 48 small cakes during that time. 500 small cakes are needed for the party so \( \frac{500}{48} \) = 10\(\frac{5}{12}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 5 + 11 = 16 cooks.