| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 61 | |
| 66 | |
| 56 | |
| 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
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is \( \frac{1}{5} \) ÷ \( \frac{4}{8} \)?
| \(\frac{1}{15}\) | |
| \(\frac{3}{35}\) | |
| \(\frac{2}{5}\) | |
| \(\frac{3}{10}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{5} \) ÷ \( \frac{4}{8} \) = \( \frac{1}{5} \) x \( \frac{8}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{5} \) x \( \frac{8}{4} \) = \( \frac{1 x 8}{5 x 4} \) = \( \frac{8}{20} \) = \(\frac{2}{5}\)
If there were a total of 150 raffle tickets sold and you bought 4 tickets, what's the probability that you'll win the raffle?
| 5% | |
| 3% | |
| 8% | |
| 4% |
You have 4 out of the total of 150 raffle tickets sold so you have a (\( \frac{4}{150} \)) x 100 = \( \frac{4 \times 100}{150} \) = \( \frac{400}{150} \) = 3% chance to win the raffle.
Find the average of the following numbers: 9, 3, 7, 5.
| 6 | |
| 8 | |
| 3 | |
| 2 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 3 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6