| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
What is the greatest common factor of 52 and 48?
| 34 | |
| 24 | |
| 22 | |
| 4 |
The factors of 52 are [1, 2, 4, 13, 26, 52] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 3 factors [1, 2, 4] making 4 the greatest factor 52 and 48 have in common.
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 30% 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?
| 6 | |
| 15 | |
| 12 | |
| 9 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{30}{100} \) = \( \frac{30 x 10}{100} \) = \( \frac{300}{100} \) = 3 shots
The center makes 25% 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 = \( \frac{3}{\frac{25}{100}} \) = 3 x \( \frac{100}{25} \) = \( \frac{3 x 100}{25} \) = \( \frac{300}{25} \) = 12 shots
to make the same number of shots as the guard and thus score the same number of points.
Monty loaned Damon $1,500 at an annual interest rate of 4%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $12 | |
| $60 | |
| $28 | |
| $81 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,500
i = 0.04 x $1,500
i = $60
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common factor |
|
least common multiple |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 50% larger than the original. By what percentage has the area of the logo increased?
| 25% | |
| 20% | |
| 37\(\frac{1}{2}\)% | |
| 17\(\frac{1}{2}\)% |
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 50% the radius (and, consequently, the total area) increases by \( \frac{50\text{%}}{2} \) = 25%