| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
What is the least common multiple of 6 and 8?
| 30 | |
| 41 | |
| 24 | |
| 44 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 have in common.
Which of these numbers is a factor of 16?
| 16 | |
| 13 | |
| 20 | |
| 15 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 16 are 1, 2, 4, 8, 16.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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associative |
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distributive |
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PEDMAS |
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 distance in miles of a trip that takes 4 hours at an average speed of 60 miles per hour?
| 225 miles | |
| 250 miles | |
| 240 miles | |
| 70 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 60mph \times 4h \)
240 miles
Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 15 small cakes per hour. The kitchen is available for 2 hours and 35 large cakes and 320 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?
| 15 | |
| 11 | |
| 9 | |
| 16 |
If a single cook can bake 4 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 4 x 2 = 8 large cakes during that time. 35 large cakes are needed for the party so \( \frac{35}{8} \) = 4\(\frac{3}{8}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 15 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 15 x 2 = 30 small cakes during that time. 320 small cakes are needed for the party so \( \frac{320}{30} \) = 10\(\frac{2}{3}\) 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.