| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Frank buys two shirts, each with a regular price of $31, how much will he pay for both shirts?
| $38.75 | |
| $41.85 | |
| $26.35 | |
| $57.35 |
By buying two shirts, Frank will save $31 x \( \frac{15}{100} \) = \( \frac{$31 x 15}{100} \) = \( \frac{$465}{100} \) = $4.65 on the second shirt.
So, his total cost will be
$31.00 + ($31.00 - $4.65)
$31.00 + $26.35
$57.35
A bread recipe calls for 3\(\frac{1}{2}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?
| 1\(\frac{1}{2}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 1\(\frac{7}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{2}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{28}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{15}{8} \) cups
1\(\frac{7}{8}\) cups
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Alex buys two shirts, each with a regular price of $31, how much money will he save?
| $13.95 | |
| $9.30 | |
| $4.65 | |
| $6.20 |
By buying two shirts, Alex will save $31 x \( \frac{20}{100} \) = \( \frac{$31 x 20}{100} \) = \( \frac{$620}{100} \) = $6.20 on the second shirt.
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?
| 128 m2 | |
| 18 m2 | |
| 72 m2 | |
| 32 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 triathlon course includes a 500m swim, a 40.9km bike ride, and a 8.7km run. What is the total length of the race course?
| 53.2km | |
| 50.1km | |
| 63.2km | |
| 47.2km |
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 + 40.9km + 8.7km
total distance = 50.1km