| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
What is the next number in this sequence: 1, 7, 13, 19, 25, __________ ?
| 31 | |
| 40 | |
| 24 | |
| 34 |
The equation for this sequence is:
an = an-1 + 6
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 + 6
a6 = 25 + 6
a6 = 31
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
greatest common multiple |
|
absolute value |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
If a mayor is elected with 70% of the votes cast and 58% of a town's 32,000 voters cast a vote, how many votes did the mayor receive?
| 14,291 | |
| 12,992 | |
| 16,333 | |
| 12,250 |
If 58% of the town's 32,000 voters cast ballots the number of votes cast is:
(\( \frac{58}{100} \)) x 32,000 = \( \frac{1,856,000}{100} \) = 18,560
The mayor got 70% of the votes cast which is:
(\( \frac{70}{100} \)) x 18,560 = \( \frac{1,299,200}{100} \) = 12,992 votes.
What is a7 + 9a7?
| 10a7 | |
| 10a14 | |
| -8a7 | |
| 10a-14 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
1a7 + 9a7
(1 + 9)a7
10a7
A circular logo is enlarged to fit the lid of a jar. The new diameter is 70% larger than the original. By what percentage has the area of the logo increased?
| 37\(\frac{1}{2}\)% | |
| 35% | |
| 20% | |
| 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 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%