| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
Which of these numbers is a factor of 20?
| 2 | |
| 10 | |
| 14 | |
| 15 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.
A triathlon course includes a 300m swim, a 20.6km bike ride, and a 10.8km run. What is the total length of the race course?
| 43.1km | |
| 31.7km | |
| 32km | |
| 36.1km |
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 + 20.6km + 10.8km
total distance = 31.7km
What is 9a7 + 2a7?
| 7a-7 | |
| 11a7 | |
| 11a49 | |
| 11a14 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
9a7 + 2a7
(9 + 2)a7
11a7
What is 8\( \sqrt{5} \) x 8\( \sqrt{9} \)?
| 64\( \sqrt{9} \) | |
| 16\( \sqrt{9} \) | |
| 64\( \sqrt{14} \) | |
| 192\( \sqrt{5} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
8\( \sqrt{5} \) x 8\( \sqrt{9} \)
(8 x 8)\( \sqrt{5 \times 9} \)
64\( \sqrt{45} \)
Now we need to simplify the radical:
64\( \sqrt{45} \)
64\( \sqrt{5 \times 9} \)
64\( \sqrt{5 \times 3^2} \)
(64)(3)\( \sqrt{5} \)
192\( \sqrt{5} \)
Find the average of the following numbers: 13, 5, 13, 5.
| 9 | |
| 11 | |
| 10 | |
| 8 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{13 + 5 + 13 + 5}{4} \) = \( \frac{36}{4} \) = 9