| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
Which of the following is not a prime number?
7 |
|
2 |
|
5 |
|
9 |
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.
Betty scored 98% on her final exam. If each question was worth 3 points and there were 240 possible points on the exam, how many questions did Betty answer correctly?
| 72 | |
| 86 | |
| 78 | |
| 71 |
Betty scored 98% on the test meaning she earned 98% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.98 = 234 points. Each question is worth 3 points so she got \( \frac{234}{3} \) = 78 questions right.
What is 9a6 - a6?
| 10a12 | |
| 8a-6 | |
| -8a-6 | |
| 8a6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
9a6 - 1a6
(9 - 1)a6
8a6
In a class of 29 students, 13 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 5 are taking both courses. How many students are not enrolled in either course?
| 10 | |
| 23 | |
| 17 | |
| 28 |
The number of students taking German or Spanish is 13 + 11 = 24. Of that group of 24, 5 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 24 - 5 = 19 who are taking at least one language. 29 - 19 = 10 students who are not taking either language.
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 10 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?
| 17 | |
| 10 | |
| 15 | |
| 12 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{50}{100} \) = \( \frac{50 x 10}{100} \) = \( \frac{500}{100} \) = 5 shots
The center makes 30% 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 = \( \frac{5}{\frac{30}{100}} \) = 5 x \( \frac{100}{30} \) = \( \frac{5 x 100}{30} \) = \( \frac{500}{30} \) = 17 shots
to make the same number of shots as the guard and thus score the same number of points.