| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
If a rectangle is twice as long as it is wide and has a perimeter of 18 meters, what is the area of the rectangle?
| 2 m2 | |
| 18 m2 | |
| 32 m2 | |
| 128 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 18 meters so the equation becomes: 2w + 2h = 18.
Putting these two equations together and solving for width (w):
2w + 2h = 18
w + h = \( \frac{18}{2} \)
w + h = 9
w = 9 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 9 - 2w
3w = 9
w = \( \frac{9}{3} \)
w = 3
Since h = 2w that makes h = (2 x 3) = 6 and the area = h x w = 3 x 6 = 18 m2
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Frank buys two shirts, each with a regular price of $18, how much will he pay for both shirts?
| $26.10 | |
| $22.50 | |
| $31.50 | |
| $18.90 |
By buying two shirts, Frank will save $18 x \( \frac{25}{100} \) = \( \frac{$18 x 25}{100} \) = \( \frac{$450}{100} \) = $4.50 on the second shirt.
So, his total cost will be
$18.00 + ($18.00 - $4.50)
$18.00 + $13.50
$31.50
What is the distance in miles of a trip that takes 8 hours at an average speed of 70 miles per hour?
| 520 miles | |
| 630 miles | |
| 560 miles | |
| 50 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 70mph \times 8h \)
560 miles
What is the least common multiple of 3 and 9?
| 14 | |
| 26 | |
| 11 | |
| 9 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 have in common.
A triathlon course includes a 500m swim, a 40.5km bike ride, and a 9.3km run. What is the total length of the race course?
| 49.3km | |
| 50.3km | |
| 46.6km | |
| 39.9km |
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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 40.5km + 9.3km
total distance = 50.3km