| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
If a car travels 40 miles in 2 hours, what is the average speed?
| 35 mph | |
| 20 mph | |
| 55 mph | |
| 75 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 20 small cakes per hour. The kitchen is available for 4 hours and 20 large cakes and 440 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?
| 8 | |
| 9 | |
| 10 | |
| 14 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 20 large cakes are needed for the party so \( \frac{20}{12} \) = 1\(\frac{2}{3}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 20 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 20 x 4 = 80 small cakes during that time. 440 small cakes are needed for the party so \( \frac{440}{80} \) = 5\(\frac{1}{2}\) 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 2 + 6 = 8 cooks.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
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commutative |
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distributive |
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associative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 26 | |
| 33 | |
| 20 | |
| 22 |
The equation for this sequence is:
an = an-1 + 5
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 5
a6 = 21 + 5
a6 = 26
A tiger in a zoo has consumed 108 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 144 pounds?
| 8 | |
| 3 | |
| 3 | |
| 12 |
If the tiger has consumed 108 pounds of food in 9 days that's \( \frac{108}{9} \) = 12 pounds of food per day. The tiger needs to consume 144 - 108 = 36 more pounds of food to reach 144 pounds total. At 12 pounds of food per day that's \( \frac{36}{12} \) = 3 more days.