| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
A bread recipe calls for 2\(\frac{1}{8}\) cups of flour. If you only have 1\(\frac{3}{4}\) cups, how much more flour is needed?
| 1\(\frac{3}{8}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| \(\frac{3}{8}\) cups | |
| 1\(\frac{1}{4}\) cups |
The amount of flour you need is (2\(\frac{1}{8}\) - 1\(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{17}{8} \) - \( \frac{14}{8} \)) cups
\( \frac{3}{8} \) cups
\(\frac{3}{8}\) cups
10 members of a bridal party need transported to a wedding reception but there are only 2 3-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 32 | |
| 8 | |
| 3 |
There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 10 people needing transportation leaving 10 - 6 = 4 who will have to find other transportation.
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
If a car travels 200 miles in 5 hours, what is the average speed?
| 65 mph | |
| 15 mph | |
| 40 mph | |
| 70 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If a rectangle is twice as long as it is wide and has a perimeter of 36 meters, what is the area of the rectangle?
| 128 m2 | |
| 8 m2 | |
| 50 m2 | |
| 72 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 36 meters so the equation becomes: 2w + 2h = 36.
Putting these two equations together and solving for width (w):
2w + 2h = 36
w + h = \( \frac{36}{2} \)
w + h = 18
w = 18 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 18 - 2w
3w = 18
w = \( \frac{18}{3} \)
w = 6
Since h = 2w that makes h = (2 x 6) = 12 and the area = h x w = 6 x 12 = 72 m2