| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
How many 14-passenger vans will it take to drive all 82 members of the football team to an away game?
| 6 vans | |
| 15 vans | |
| 9 vans | |
| 8 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{82}{14} \) = 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.
17 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 8 | |
| 2 | |
| 7 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 17 people needing transportation leaving 17 - 15 = 2 who will have to find other transportation.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common factor |
|
least common multiple |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is \( \frac{2}{9} \) ÷ \( \frac{4}{5} \)?
| \(\frac{5}{18}\) | |
| \(\frac{1}{10}\) | |
| 2\(\frac{1}{2}\) | |
| 1\(\frac{1}{9}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{9} \) ÷ \( \frac{4}{5} \) = \( \frac{2}{9} \) x \( \frac{5}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{5}{4} \) = \( \frac{2 x 5}{9 x 4} \) = \( \frac{10}{36} \) = \(\frac{5}{18}\)
What is the greatest common factor of 64 and 28?
| 27 | |
| 4 | |
| 6 | |
| 8 |
The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 64 and 28 have in common.