| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common factor |
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absolute value |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A triathlon course includes a 400m swim, a 40.3km bike ride, and a 17.4km run. What is the total length of the race course?
| 58.9km | |
| 58.1km | |
| 66.2km | |
| 57.4km |
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 + 40.3km + 17.4km
total distance = 58.1km
Which of these numbers is a factor of 32?
| 19 | |
| 8 | |
| 22 | |
| 3 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Frank buys two shirts, each with a regular price of $13, how much will he pay for both shirts?
| $13.65 | |
| $19.50 | |
| $16.25 | |
| $21.45 |
By buying two shirts, Frank will save $13 x \( \frac{35}{100} \) = \( \frac{$13 x 35}{100} \) = \( \frac{$455}{100} \) = $4.55 on the second shirt.
So, his total cost will be
$13.00 + ($13.00 - $4.55)
$13.00 + $8.45
$21.45
A circular logo is enlarged to fit the lid of a jar. The new diameter is 70% larger than the original. By what percentage has the area of the logo increased?
| 25% | |
| 32\(\frac{1}{2}\)% | |
| 30% | |
| 35% |
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 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%