| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| 12 | |
| 6 | |
| -3 | |
| 15 |
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
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
absolute value |
|
least common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Which of the following is not a prime number?
2 |
|
9 |
|
5 |
|
7 |
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.
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 30 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 33 | |
| 32 | |
| 25 | |
| 31 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{50}{100} \) = \( \frac{50 x 30}{100} \) = \( \frac{1500}{100} \) = 15 shots
The center makes 45% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{15}{\frac{45}{100}} \) = 15 x \( \frac{100}{45} \) = \( \frac{15 x 100}{45} \) = \( \frac{1500}{45} \) = 33 shots
to make the same number of shots as the guard and thus score the same number of points.
The total water usage for a city is 20,000 gallons each day. Of that total, 16% is for personal use and 43% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 13,600 | |
| 1,800 | |
| 5,400 | |
| 7,350 |
43% of the water consumption is industrial use and 16% is personal use so (43% - 16%) = 27% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{27}{100} \) x 20,000 gallons = 5,400 gallons.