| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Which of these numbers is a factor of 16?
| 12 | |
| 11 | |
| 8 | |
| 9 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 16 are 1, 2, 4, 8, 16.
A bread recipe calls for 2 cups of flour. If you only have \(\frac{1}{2}\) cup, how much more flour is needed?
| 1\(\frac{1}{8}\) cups | |
| 2 cups | |
| 1\(\frac{1}{2}\) cups | |
| 1\(\frac{3}{4}\) cups |
The amount of flour you need is (2 - \(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{16}{8} \) - \( \frac{4}{8} \)) cups
\( \frac{12}{8} \) cups
1\(\frac{1}{2}\) cups
What is \( \frac{2}{8} \) x \( \frac{2}{6} \)?
| \(\frac{1}{12}\) | |
| \(\frac{1}{20}\) | |
| \(\frac{1}{2}\) | |
| \(\frac{1}{3}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{2}{6} \) = \( \frac{2 x 2}{8 x 6} \) = \( \frac{4}{48} \) = \(\frac{1}{12}\)
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 9:2 | |
| 5:6 | |
| 3:8 | |
| 9:1 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.
Frank loaned Monica $1,500 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,515 | |
| $1,590 | |
| $1,560 | |
| $1,605 |
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
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,500 + $60