| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
A triathlon course includes a 500m swim, a 30.9km bike ride, and a 13.9km run. What is the total length of the race course?
| 65.4km | |
| 42.3km | |
| 36.7km | |
| 45.3km |
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 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 + 30.9km + 13.9km
total distance = 45.3km
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
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.
What is \( \sqrt{\frac{16}{64}} \)?
| \(\frac{1}{2}\) | |
| 1\(\frac{1}{6}\) | |
| \(\frac{2}{5}\) | |
| \(\frac{2}{3}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{16}{64}} \)
\( \frac{\sqrt{16}}{\sqrt{64}} \)
\( \frac{\sqrt{4^2}}{\sqrt{8^2}} \)
\(\frac{1}{2}\)
Which of the following is not an integer?
\({1 \over 2}\) |
|
-1 |
|
1 |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Simplify \( \sqrt{75} \)
| 5\( \sqrt{3} \) | |
| 4\( \sqrt{3} \) | |
| 7\( \sqrt{6} \) | |
| 5\( \sqrt{6} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{75} \)
\( \sqrt{25 \times 3} \)
\( \sqrt{5^2 \times 3} \)
5\( \sqrt{3} \)