| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
A machine in a factory has an error rate of 9 parts per 100. The machine normally runs 24 hours a day and produces 10 parts per hour. Yesterday the machine was shut down for 3 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 138.2 | |
| 98.7 | |
| 191.1 | |
| 116.4 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{9}{100} \) x 10 = \( \frac{9 \times 10}{100} \) = \( \frac{90}{100} \) = 0.9 errors per hour
So, in an average hour, the machine will produce 10 - 0.9 = 9.1 error free parts.
The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 9.1 = 191.1 error free parts were produced yesterday.
How many 16-passenger vans will it take to drive all 47 members of the football team to an away game?
| 4 vans | |
| 2 vans | |
| 3 vans | |
| 5 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{47}{16} \) = 2\(\frac{15}{16}\)
So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.
Which of the following is not a prime number?
2 |
|
9 |
|
5 |
|
7 |
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.
If a mayor is elected with 87% of the votes cast and 84% of a town's 26,000 voters cast a vote, how many votes did the mayor receive?
| 16,380 | |
| 18,782 | |
| 15,070 | |
| 19,001 |
If 84% of the town's 26,000 voters cast ballots the number of votes cast is:
(\( \frac{84}{100} \)) x 26,000 = \( \frac{2,184,000}{100} \) = 21,840
The mayor got 87% of the votes cast which is:
(\( \frac{87}{100} \)) x 21,840 = \( \frac{1,900,080}{100} \) = 19,001 votes.
12 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 7 | |
| 3 | |
| 4 |
There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 12 people needing transportation leaving 12 - 9 = 3 who will have to find other transportation.