| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 69 | |
| 61 | |
| 56 | |
| 58 |
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
Find the average of the following numbers: 12, 4, 9, 7.
| 9 | |
| 6 | |
| 8 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 4 + 9 + 7}{4} \) = \( \frac{32}{4} \) = 8
A circular logo is enlarged to fit the lid of a jar. The new diameter is 40% larger than the original. By what percentage has the area of the logo increased?
| 20% | |
| 27\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%
A factor is a positive __________ that divides evenly into a given number.
integer |
|
fraction |
|
mixed number |
|
improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is 8a3 x 3a2?
| 24a6 | |
| 11a5 | |
| 24a5 | |
| 11a6 |
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:
8a3 x 3a2
(8 x 3)a(3 + 2)
24a5