| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
A triathlon course includes a 300m swim, a 30.6km bike ride, and a 7.800000000000001km run. What is the total length of the race course?
| 58.4km | |
| 39.4km | |
| 38.7km | |
| 55.1km |
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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 30.6km + 7.800000000000001km
total distance = 38.7km
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\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% | |
| 15% | |
| 22\(\frac{1}{2}\)% |
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%
What is (z4)3?
| z7 | |
| z | |
| 3z4 | |
| z12 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z4)3Find the average of the following numbers: 10, 6, 11, 5.
| 3 | |
| 8 | |
| 13 | |
| 9 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 6 + 11 + 5}{4} \) = \( \frac{32}{4} \) = 8
A factor is a positive __________ that divides evenly into a given number.
fraction |
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improper fraction |
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integer |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.