| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
How many 2 gallon cans worth of fuel would you need to pour into an empty 12 gallon tank to fill it exactly halfway?
| 4 | |
| 5 | |
| 6 | |
| 3 |
To fill a 12 gallon tank exactly halfway you'll need 6 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{6 \text{ gallons}}{2 \text{ gallons}} \) = 3
How many 13-passenger vans will it take to drive all 72 members of the football team to an away game?
| 8 vans | |
| 6 vans | |
| 5 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 = \( \frac{72}{13} \) = 5\(\frac{7}{13}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
What is \( \sqrt{\frac{25}{64}} \)?
| 1\(\frac{1}{4}\) | |
| \(\frac{5}{8}\) | |
| \(\frac{2}{3}\) | |
| \(\frac{5}{6}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{25}{64}} \)
\( \frac{\sqrt{25}}{\sqrt{64}} \)
\( \frac{\sqrt{5^2}}{\sqrt{8^2}} \)
\(\frac{5}{8}\)
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?
| 1\(\frac{5}{8}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 3\(\frac{1}{4}\) cups | |
| 2\(\frac{1}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{4}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups
The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common multiple |
|
greatest common factor |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.