| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| -1 | |
| 6 | |
| 0 | |
| 14 |
The equation for this sequence is:
an = an-1 + 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 + 1
a6 = 5 + 1
a6 = 6
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Damon buys two shirts, each with a regular price of $48, how much will he pay for both shirts?
| $33.60 | |
| $67.20 | |
| $64.80 | |
| $81.60 |
By buying two shirts, Damon will save $48 x \( \frac{30}{100} \) = \( \frac{$48 x 30}{100} \) = \( \frac{$1440}{100} \) = $14.40 on the second shirt.
So, his total cost will be
$48.00 + ($48.00 - $14.40)
$48.00 + $33.60
$81.60
A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?
| 32\(\frac{1}{2}\)% | |
| 20% | |
| 37\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% |
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 75% the radius (and, consequently, the total area) increases by \( \frac{75\text{%}}{2} \) = 37\(\frac{1}{2}\)%
What is the distance in miles of a trip that takes 7 hours at an average speed of 45 miles per hour?
| 80 miles | |
| 320 miles | |
| 315 miles | |
| 180 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 = \( 45mph \times 7h \)
315 miles
If there were a total of 100 raffle tickets sold and you bought 2 tickets, what's the probability that you'll win the raffle?
| 2% | |
| 14% | |
| 19% | |
| 11% |
You have 2 out of the total of 100 raffle tickets sold so you have a (\( \frac{2}{100} \)) x 100 = \( \frac{2 \times 100}{100} \) = \( \frac{200}{100} \) = 2% chance to win the raffle.