| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
How many 6-passenger vans will it take to drive all 92 members of the football team to an away game?
| 4 vans | |
| 12 vans | |
| 16 vans | |
| 3 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{92}{6} \) = 15\(\frac{1}{3}\)
So, it will take 15 full vans and one partially full van to transport the entire team making a total of 16 vans.
What is \( \frac{4}{9} \) x \( \frac{4}{7} \)?
| \(\frac{1}{8}\) | |
| \(\frac{1}{24}\) | |
| \(\frac{16}{63}\) | |
| \(\frac{1}{21}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{9} \) x \( \frac{4}{7} \) = \( \frac{4 x 4}{9 x 7} \) = \( \frac{16}{63} \) = \(\frac{16}{63}\)
What is \( \sqrt{\frac{9}{64}} \)?
| \(\frac{3}{8}\) | |
| 1\(\frac{1}{7}\) | |
| 1\(\frac{1}{3}\) | |
| 1\(\frac{2}{7}\) |
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:
\( \sqrt{\frac{9}{64}} \)
\( \frac{\sqrt{9}}{\sqrt{64}} \)
\( \frac{\sqrt{3^2}}{\sqrt{8^2}} \)
\(\frac{3}{8}\)
If a rectangle is twice as long as it is wide and has a perimeter of 6 meters, what is the area of the rectangle?
| 98 m2 | |
| 32 m2 | |
| 162 m2 | |
| 2 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 6 meters so the equation becomes: 2w + 2h = 6.
Putting these two equations together and solving for width (w):
2w + 2h = 6
w + h = \( \frac{6}{2} \)
w + h = 3
w = 3 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 3 - 2w
3w = 3
w = \( \frac{3}{3} \)
w = 1
Since h = 2w that makes h = (2 x 1) = 2 and the area = h x w = 1 x 2 = 2 m2
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Frank buys two shirts, each with a regular price of $20, how much money will he save?
| $2.00 | |
| $7.00 | |
| $1.00 | |
| $3.00 |
By buying two shirts, Frank will save $20 x \( \frac{5}{100} \) = \( \frac{$20 x 5}{100} \) = \( \frac{$100}{100} \) = $1.00 on the second shirt.