| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
What is \( \sqrt{\frac{9}{9}} \)?
| 1\(\frac{1}{3}\) | |
| 1\(\frac{1}{2}\) | |
| 1 | |
| \(\frac{1}{3}\) |
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:
\( \sqrt{\frac{9}{9}} \)
\( \frac{\sqrt{9}}{\sqrt{9}} \)
\( \frac{\sqrt{3^2}}{\sqrt{3^2}} \)
1
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
least common multiple |
|
greatest common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 30% larger than the original. By what percentage has the area of the logo increased?
| 37\(\frac{1}{2}\)% | |
| 15% | |
| 32\(\frac{1}{2}\)% | |
| 20% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 30% the radius (and, consequently, the total area) increases by \( \frac{30\text{%}}{2} \) = 15%
Convert c-3 to remove the negative exponent.
| \( \frac{-1}{-3c} \) | |
| \( \frac{3}{c} \) | |
| \( \frac{-3}{c} \) | |
| \( \frac{1}{c^3} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A triathlon course includes a 400m swim, a 40.7km bike ride, and a 9.6km run. What is the total length of the race course?
| 59km | |
| 44.2km | |
| 58.1km | |
| 50.7km |
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 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 40.7km + 9.6km
total distance = 50.7km