| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
In a class of 28 students, 8 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 11 | |
| 23 | |
| 12 | |
| 24 |
The number of students taking German or Spanish is 8 + 15 = 23. Of that group of 23, 7 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 23 - 7 = 16 who are taking at least one language. 28 - 16 = 12 students who are not taking either language.
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 36,000 seats in a stadium are filled, how many home fans are in attendance?
| 24,800 | |
| 30,000 | |
| 33,750 | |
| 36,800 |
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:
36,000 fans x \( \frac{5}{6} \) = \( \frac{180000}{6} \) = 30,000 fans.
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 70 | |
| 67 | |
| 61 | |
| 65 |
The equation for this sequence is:
an = an-1 + 4(n - 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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
A tiger in a zoo has consumed 140 pounds of food in 10 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 210 pounds?
| 4 | |
| 1 | |
| 6 | |
| 5 |
If the tiger has consumed 140 pounds of food in 10 days that's \( \frac{140}{10} \) = 14 pounds of food per day. The tiger needs to consume 210 - 140 = 70 more pounds of food to reach 210 pounds total. At 14 pounds of food per day that's \( \frac{70}{14} \) = 5 more days.
How many 15-passenger vans will it take to drive all 82 members of the football team to an away game?
| 8 vans | |
| 4 vans | |
| 5 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{82}{15} \) = 5\(\frac{7}{15}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.