| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.93 |
| Score | 0% | 79% |
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 49 | |
| 47 | |
| 46 | |
| 50 |
The equation for this sequence is:
an = an-1 + 9
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 + 9
a6 = 37 + 9
a6 = 46
Solve for \( \frac{3!}{2!} \)
| 15120 | |
| \( \frac{1}{30} \) | |
| \( \frac{1}{3024} \) | |
| 3 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{3!}{2!} \)
\( \frac{3 \times 2 \times 1}{2 \times 1} \)
\( \frac{3}{1} \)
3
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({7 \over 5} \) |
|
\({a \over 5} \) |
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 \( \frac{6\sqrt{6}}{2\sqrt{2}} \)?
| 3 \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{3}\) \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{6\sqrt{6}}{2\sqrt{2}} \)
\( \frac{6}{2} \) \( \sqrt{\frac{6}{2}} \)
3 \( \sqrt{3} \)
What is (a2)4?
| a8 | |
| a-2 | |
| 2a4 | |
| 4a2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a2)4