| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.60 |
| Score | 0% | 72% |
Which of the following is a mixed number?
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
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.
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?
| 18% | |
| 4% | |
| 14% | |
| 2% |
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.
What is \( \frac{4}{7} \) ÷ \( \frac{1}{7} \)?
| \(\frac{1}{10}\) | |
| \(\frac{2}{35}\) | |
| \(\frac{2}{81}\) | |
| 4 |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{7} \) ÷ \( \frac{1}{7} \) = \( \frac{4}{7} \) x \( \frac{7}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{7} \) x \( \frac{7}{1} \) = \( \frac{4 x 7}{7 x 1} \) = \( \frac{28}{7} \) = 4
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 38 | |
| 31 | |
| 23 | |
| 30 |
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
What is (z3)4?
| z-1 | |
| 3z4 | |
| 4z3 | |
| z12 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z3)4