| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
How many 6-passenger vans will it take to drive all 38 members of the football team to an away game?
| 7 vans | |
| 14 vans | |
| 6 vans | |
| 5 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{38}{6} \) = 6\(\frac{1}{3}\)
So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.
What is the distance in miles of a trip that takes 2 hours at an average speed of 70 miles per hour?
| 120 miles | |
| 140 miles | |
| 150 miles | |
| 110 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 70mph \times 2h \)
140 miles
If a rectangle is twice as long as it is wide and has a perimeter of 54 meters, what is the area of the rectangle?
| 50 m2 | |
| 98 m2 | |
| 2 m2 | |
| 162 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 54 meters so the equation becomes: 2w + 2h = 54.
Putting these two equations together and solving for width (w):
2w + 2h = 54
w + h = \( \frac{54}{2} \)
w + h = 27
w = 27 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 27 - 2w
3w = 27
w = \( \frac{27}{3} \)
w = 9
Since h = 2w that makes h = (2 x 9) = 18 and the area = h x w = 9 x 18 = 162 m2
What is (z5)3?
| 3z5 | |
| z15 | |
| z8 | |
| z2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)3Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 20 small cakes per hour. The kitchen is available for 3 hours and 21 large cakes and 480 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 12 | |
| 14 | |
| 5 | |
| 7 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 2 x 3 = 6 large cakes during that time. 21 large cakes are needed for the party so \( \frac{21}{6} \) = 3\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 20 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 20 x 3 = 60 small cakes during that time. 480 small cakes are needed for the party so \( \frac{480}{60} \) = 8 cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 4 + 8 = 12 cooks.