| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({2 \over 5} \) |
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\({7 \over 5} \) |
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 60 miles in 3 hours, what is the average speed?
| 65 mph | |
| 25 mph | |
| 40 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)The __________ is the greatest factor that divides two integers.
greatest common factor |
|
absolute value |
|
least common multiple |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 40% of his shots. If the guard takes 15 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?
| 18 | |
| 11 | |
| 20 | |
| 24 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{40}{100} \) = \( \frac{40 x 15}{100} \) = \( \frac{600}{100} \) = 6 shots
The center makes 30% 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 = \( \frac{6}{\frac{30}{100}} \) = 6 x \( \frac{100}{30} \) = \( \frac{6 x 100}{30} \) = \( \frac{600}{30} \) = 20 shots
to make the same number of shots as the guard and thus score the same number of points.
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 33,000 seats in a stadium are filled, how many home fans are in attendance?
| 27,500 | |
| 22,667 | |
| 39,167 | |
| 24,000 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
33,000 fans x \( \frac{5}{6} \) = \( \frac{165000}{6} \) = 27,500 fans.