| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
How many 13-passenger vans will it take to drive all 89 members of the football team to an away game?
| 3 vans | |
| 5 vans | |
| 7 vans | |
| 13 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{89}{13} \) = 6\(\frac{11}{13}\)
So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 4 | |
| 5 | |
| 8 | |
| 10 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5
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?
| 22\(\frac{1}{2}\)% | |
| 25% | |
| 15% | |
| 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 30% the radius (and, consequently, the total area) increases by \( \frac{30\text{%}}{2} \) = 15%
Convert 4,532,000 to scientific notation.
| 4.532 x 106 | |
| 4.532 x 10-6 | |
| 0.453 x 107 | |
| 4.532 x 105 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
4,532,000 in scientific notation is 4.532 x 106
Frank loaned Diane $600 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $630 | |
| $618 | |
| $612 | |
| $624 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $600
i = 0.02 x $600
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $600 + $12