| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
If a mayor is elected with 57% of the votes cast and 87% of a town's 31,000 voters cast a vote, how many votes did the mayor receive?
| 18,340 | |
| 16,182 | |
| 20,228 | |
| 15,373 |
If 87% of the town's 31,000 voters cast ballots the number of votes cast is:
(\( \frac{87}{100} \)) x 31,000 = \( \frac{2,697,000}{100} \) = 26,970
The mayor got 57% of the votes cast which is:
(\( \frac{57}{100} \)) x 26,970 = \( \frac{1,537,290}{100} \) = 15,373 votes.
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 29 | |
| 30 | |
| 36 | |
| 42 |
The equation for this sequence is:
an = an-1 + 7
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 + 7
a6 = 29 + 7
a6 = 36
What is the greatest common factor of 60 and 72?
| 12 | |
| 35 | |
| 51 | |
| 25 |
The factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 the greatest factor 60 and 72 have in common.
4! = ?
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
How many 1 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 6 | |
| 9 | |
| 8 | |
| 4 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{4 \text{ gallons}}{1 \text{ gallons}} \) = 4