| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
What is the least common multiple of 2 and 10?
| 8 | |
| 2 | |
| 1 | |
| 10 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 have in common.
Which of the following is not a prime number?
2 |
|
9 |
|
7 |
|
5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| 8 | |
| 7 | |
| 15 | |
| 6 |
The equation for this sequence is:
an = an-1 + 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 + 1
a6 = 5 + 1
a6 = 6
What is \( 4 \)\( \sqrt{8} \) + \( 8 \)\( \sqrt{2} \)
| 12\( \sqrt{4} \) | |
| 12\( \sqrt{8} \) | |
| 32\( \sqrt{4} \) | |
| 16\( \sqrt{2} \) |
To add these radicals together their radicands must be the same:
4\( \sqrt{8} \) + 8\( \sqrt{2} \)
4\( \sqrt{4 \times 2} \) + 8\( \sqrt{2} \)
4\( \sqrt{2^2 \times 2} \) + 8\( \sqrt{2} \)
(4)(2)\( \sqrt{2} \) + 8\( \sqrt{2} \)
8\( \sqrt{2} \) + 8\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
8\( \sqrt{2} \) + 8\( \sqrt{2} \)What is \( \sqrt{\frac{36}{81}} \)?
| 2\(\frac{1}{4}\) | |
| \(\frac{3}{8}\) | |
| \(\frac{2}{7}\) | |
| \(\frac{2}{3}\) |
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:
\( \sqrt{\frac{36}{81}} \)
\( \frac{\sqrt{36}}{\sqrt{81}} \)
\( \frac{\sqrt{6^2}}{\sqrt{9^2}} \)
\(\frac{2}{3}\)