| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.84 |
| Score | 0% | 77% |
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 61 | |
| 54 | |
| 53 | |
| 66 |
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
What is the distance in miles of a trip that takes 4 hours at an average speed of 30 miles per hour?
| 140 miles | |
| 120 miles | |
| 280 miles | |
| 300 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 = \( 30mph \times 4h \)
120 miles
A factor is a positive __________ that divides evenly into a given number.
integer |
|
mixed number |
|
improper fraction |
|
fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
How many 9-passenger vans will it take to drive all 45 members of the football team to an away game?
| 5 vans | |
| 3 vans | |
| 6 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{45}{9} \) = 5
What is \( \sqrt{\frac{4}{25}} \)?
| 1\(\frac{1}{6}\) | |
| 1\(\frac{1}{7}\) | |
| \(\frac{2}{5}\) | |
| 3 |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{4}{25}} \)
\( \frac{\sqrt{4}}{\sqrt{25}} \)
\( \frac{\sqrt{2^2}}{\sqrt{5^2}} \)
\(\frac{2}{5}\)