| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
How many 2 gallon cans worth of fuel would you need to pour into an empty 12 gallon tank to fill it exactly halfway?
| 7 | |
| 6 | |
| 3 | |
| 3 |
To fill a 12 gallon tank exactly halfway you'll need 6 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{6 \text{ gallons}}{2 \text{ gallons}} \) = 3
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for division |
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commutative property for multiplication |
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distributive property for multiplication |
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distributive property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
Which of the following is an improper fraction?
\({2 \over 5} \) |
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\(1 {2 \over 5} \) |
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\({7 \over 5} \) |
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\({a \over 5} \) |
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.
A triathlon course includes a 200m swim, a 20.1km bike ride, and a 5.0km run. What is the total length of the race course?
| 23.4km | |
| 46.5km | |
| 39.8km | |
| 25.3km |
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 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 20.1km + 5.0km
total distance = 25.3km
If there were a total of 150 raffle tickets sold and you bought 4 tickets, what's the probability that you'll win the raffle?
| 5% | |
| 11% | |
| 3% | |
| 2% |
You have 4 out of the total of 150 raffle tickets sold so you have a (\( \frac{4}{150} \)) x 100 = \( \frac{4 \times 100}{150} \) = \( \frac{400}{150} \) = 3% chance to win the raffle.