| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
What is the distance in miles of a trip that takes 2 hours at an average speed of 30 miles per hour?
| 60 miles | |
| 350 miles | |
| 75 miles | |
| 520 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 = \( 30mph \times 2h \)
60 miles
A circular logo is enlarged to fit the lid of a jar. The new diameter is 65% larger than the original. By what percentage has the area of the logo increased?
| 27\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% | |
| 35% | |
| 17\(\frac{1}{2}\)% |
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 65% the radius (and, consequently, the total area) increases by \( \frac{65\text{%}}{2} \) = 32\(\frac{1}{2}\)%
Find the average of the following numbers: 15, 13, 16, 12.
| 17 | |
| 18 | |
| 13 | |
| 14 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{15 + 13 + 16 + 12}{4} \) = \( \frac{56}{4} \) = 14
What is -5c5 - 7c5?
| -12c-5 | |
| 2c5 | |
| -12c5 | |
| 12c5 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-5c5 - 7c5
(-5 - 7)c5
-12c5
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 23 | |
| 31 | |
| 29 | |
| 22 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31