| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
14 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 1 | |
| 6 | |
| 66 |
There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 14 people needing transportation leaving 14 - 9 = 5 who will have to find other transportation.
How many hours does it take a car to travel 195 miles at an average speed of 65 miles per hour?
| 3 hours | |
| 9 hours | |
| 4 hours | |
| 6 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 = \( \frac{195mi}{65mph} \)
3 hours
Find the average of the following numbers: 11, 3, 8, 6.
| 3 | |
| 5 | |
| 11 | |
| 7 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{11 + 3 + 8 + 6}{4} \) = \( \frac{28}{4} \) = 7
A circular logo is enlarged to fit the lid of a jar. The new diameter is 45% larger than the original. By what percentage has the area of the logo increased?
| 20% | |
| 17\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 15% |
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 45% the radius (and, consequently, the total area) increases by \( \frac{45\text{%}}{2} \) = 22\(\frac{1}{2}\)%
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 67 | |
| 61 | |
| 65 | |
| 59 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61