| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
Which of the following is not a prime number?
9 |
|
7 |
|
2 |
|
5 |
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.
In a class of 27 students, 11 are taking German and 9 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 9 | |
| 16 | |
| 25 | |
| 21 |
The number of students taking German or Spanish is 11 + 9 = 20. Of that group of 20, 2 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 20 - 2 = 18 who are taking at least one language. 27 - 18 = 9 students who are not taking either language.
A bread recipe calls for 3\(\frac{1}{8}\) cups of flour. If you only have \(\frac{1}{4}\) cup, how much more flour is needed?
| 2\(\frac{7}{8}\) cups | |
| 1\(\frac{1}{4}\) cups | |
| 3\(\frac{5}{8}\) cups | |
| 3 cups |
The amount of flour you need is (3\(\frac{1}{8}\) - \(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{25}{8} \) - \( \frac{2}{8} \)) cups
\( \frac{23}{8} \) cups
2\(\frac{7}{8}\) cups
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 34,000 seats in a stadium are filled, how many home fans are in attendance?
| 24,800 | |
| 36,750 | |
| 29,167 | |
| 28,333 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
34,000 fans x \( \frac{5}{6} \) = \( \frac{170000}{6} \) = 28,333 fans.
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 40 | |
| 33 | |
| 41 | |
| 42 |
The equation for this sequence is:
an = an-1 + 8
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 + 8
a6 = 33 + 8
a6 = 41