| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 55% larger than the original. By what percentage has the area of the logo increased?
| 20% | |
| 30% | |
| 27\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% |
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 55% the radius (and, consequently, the total area) increases by \( \frac{55\text{%}}{2} \) = 27\(\frac{1}{2}\)%
Monty loaned Damon $1,300 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $91 | |
| $7 | |
| $48 | |
| $6 |
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 $1,300
i = 0.07 x $1,300
i = $91
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 14 small cakes per hour. The kitchen is available for 4 hours and 28 large cakes and 460 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?
| 6 | |
| 13 | |
| 8 | |
| 15 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 2 x 4 = 8 large cakes during that time. 28 large cakes are needed for the party so \( \frac{28}{8} \) = 3\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 14 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 14 x 4 = 56 small cakes during that time. 460 small cakes are needed for the party so \( \frac{460}{56} \) = 8\(\frac{3}{14}\) 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 + 9 = 13 cooks.
How many hours does it take a car to travel 455 miles at an average speed of 65 miles per hour?
| 7 hours | |
| 1 hour | |
| 3 hours | |
| 8 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{455mi}{65mph} \)
7 hours
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Ezra buys two shirts, each with a regular price of $10, how much money will he save?
| $3.00 | |
| $2.50 | |
| $2.00 | |
| $1.50 |
By buying two shirts, Ezra will save $10 x \( \frac{20}{100} \) = \( \frac{$10 x 20}{100} \) = \( \frac{$200}{100} \) = $2.00 on the second shirt.