| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
Which of the following is not an integer?
1 |
|
-1 |
|
\({1 \over 2}\) |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Find the average of the following numbers: 12, 4, 11, 5.
| 6 | |
| 5 | |
| 7 | |
| 8 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 4 + 11 + 5}{4} \) = \( \frac{32}{4} \) = 8
On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 25 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?
| 22 | |
| 34 | |
| 55 | |
| 30 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{50}{100} \) = \( \frac{50 x 25}{100} \) = \( \frac{1250}{100} \) = 12 shots
The center makes 35% 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 = \( \frac{12}{\frac{35}{100}} \) = 12 x \( \frac{100}{35} \) = \( \frac{12 x 100}{35} \) = \( \frac{1200}{35} \) = 34 shots
to make the same number of shots as the guard and thus score the same number of points.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Frank buys two shirts, each with a regular price of $16, how much will he pay for both shirts?
| $21.60 | |
| $24.00 | |
| $20.80 | |
| $26.40 |
By buying two shirts, Frank will save $16 x \( \frac{35}{100} \) = \( \frac{$16 x 35}{100} \) = \( \frac{$560}{100} \) = $5.60 on the second shirt.
So, his total cost will be
$16.00 + ($16.00 - $5.60)
$16.00 + $10.40
$26.40
A triathlon course includes a 300m swim, a 50.9km bike ride, and a 15.600000000000001km run. What is the total length of the race course?
| 55.7km | |
| 27km | |
| 66.8km | |
| 57km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 50.9km + 15.600000000000001km
total distance = 66.8km