| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
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, 3, 7, 13, 21, __________ ?
| 31 | |
| 28 | |
| 26 | |
| 23 |
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 \( \frac{3}{8} \) - \( \frac{6}{16} \)?
| 1 \( \frac{5}{14} \) | |
| 2 \( \frac{1}{16} \) | |
| 2 \( \frac{5}{11} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 16 are [16, 32, 48, 64, 80, 96]. The first few multiples they share are [16, 32, 48, 64, 80] making 16 the smallest multiple 8 and 16 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 2}{8 x 2} \) - \( \frac{6 x 1}{16 x 1} \)
\( \frac{6}{16} \) - \( \frac{6}{16} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{6 - 6}{16} \) = \( \frac{0}{16} \) =
What is 5c2 x 3c2?
| 15c0 | |
| 15c2 | |
| 8c4 | |
| 15c4 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
5c2 x 3c2
(5 x 3)c(2 + 2)
15c4
What is \( \frac{2}{6} \) x \( \frac{1}{9} \)?
| \(\frac{6}{25}\) | |
| \(\frac{1}{12}\) | |
| \(\frac{1}{3}\) | |
| \(\frac{1}{27}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{1}{9} \) = \( \frac{2 x 1}{6 x 9} \) = \( \frac{2}{54} \) = \(\frac{1}{27}\)