| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
What is \( \sqrt{\frac{4}{16}} \)?
| \(\frac{3}{7}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| \(\frac{5}{6}\) |
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:
\( \sqrt{\frac{4}{16}} \)
\( \frac{\sqrt{4}}{\sqrt{16}} \)
\( \frac{\sqrt{2^2}}{\sqrt{4^2}} \)
\(\frac{1}{2}\)
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 40% of his shots. If the guard takes 10 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 16 | |
| 8 | |
| 7 | |
| 9 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{40}{100} \) = \( \frac{40 x 10}{100} \) = \( \frac{400}{100} \) = 4 shots
The center makes 25% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{4}{\frac{25}{100}} \) = 4 x \( \frac{100}{25} \) = \( \frac{4 x 100}{25} \) = \( \frac{400}{25} \) = 16 shots
to make the same number of shots as the guard and thus score the same number of points.
Find the average of the following numbers: 14, 12, 16, 10.
| 10 | |
| 17 | |
| 12 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{14 + 12 + 16 + 10}{4} \) = \( \frac{52}{4} \) = 13
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Ezra buys two shirts, each with a regular price of $41, how much will he pay for both shirts?
| $18.45 | |
| $63.55 | |
| $55.35 | |
| $45.10 |
By buying two shirts, Ezra will save $41 x \( \frac{45}{100} \) = \( \frac{$41 x 45}{100} \) = \( \frac{$1845}{100} \) = $18.45 on the second shirt.
So, his total cost will be
$41.00 + ($41.00 - $18.45)
$41.00 + $22.55
$63.55
If there were a total of 300 raffle tickets sold and you bought 18 tickets, what's the probability that you'll win the raffle?
| 6% | |
| 19% | |
| 14% | |
| 11% |
You have 18 out of the total of 300 raffle tickets sold so you have a (\( \frac{18}{300} \)) x 100 = \( \frac{18 \times 100}{300} \) = \( \frac{1800}{300} \) = 6% chance to win the raffle.