| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 29 | |
| 31 | |
| 39 | |
| 28 |
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
A bread recipe calls for 2\(\frac{1}{2}\) cups of flour. If you only have 1 cup, how much more flour is needed?
| 2\(\frac{1}{8}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 1\(\frac{1}{2}\) cups | |
| 1\(\frac{5}{8}\) cups |
The amount of flour you need is (2\(\frac{1}{2}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{20}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{12}{8} \) cups
1\(\frac{1}{2}\) cups
How many 1 gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 4 | |
| 6 | |
| 3 | |
| 7 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3
Which of these numbers is a factor of 48?
| 12 | |
| 32 | |
| 8 | |
| 21 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
How many hours does it take a car to travel 450 miles at an average speed of 75 miles per hour?
| 3 hours | |
| 6 hours | |
| 7 hours | |
| 5 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 = \( \frac{450mi}{75mph} \)
6 hours