| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 6 | |
| 4 | |
| 7 | |
| 8 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
April scored 97% on her final exam. If each question was worth 4 points and there were 360 possible points on the exam, how many questions did April answer correctly?
| 98 | |
| 74 | |
| 99 | |
| 87 |
April scored 97% on the test meaning she earned 97% of the possible points on the test. There were 360 possible points on the test so she earned 360 x 0.97 = 348 points. Each question is worth 4 points so she got \( \frac{348}{4} \) = 87 questions right.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
absolute value |
|
greatest common factor |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
If a rectangle is twice as long as it is wide and has a perimeter of 30 meters, what is the area of the rectangle?
| 162 m2 | |
| 72 m2 | |
| 50 m2 | |
| 2 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 30 meters so the equation becomes: 2w + 2h = 30.
Putting these two equations together and solving for width (w):
2w + 2h = 30
w + h = \( \frac{30}{2} \)
w + h = 15
w = 15 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 15 - 2w
3w = 15
w = \( \frac{15}{3} \)
w = 5
Since h = 2w that makes h = (2 x 5) = 10 and the area = h x w = 5 x 10 = 50 m2
If there were a total of 350 raffle tickets sold and you bought 14 tickets, what's the probability that you'll win the raffle?
| 16% | |
| 19% | |
| 18% | |
| 4% |
You have 14 out of the total of 350 raffle tickets sold so you have a (\( \frac{14}{350} \)) x 100 = \( \frac{14 \times 100}{350} \) = \( \frac{1400}{350} \) = 4% chance to win the raffle.