| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
Which of the following is not a prime number?
2 |
|
7 |
|
5 |
|
9 |
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.
What is (b2)4?
| 4b2 | |
| b6 | |
| b8 | |
| b2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b2)4A machine in a factory has an error rate of 2 parts per 100. The machine normally runs 24 hours a day and produces 10 parts per hour. Yesterday the machine was shut down for 2 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 131.9 | |
| 215.6 | |
| 160.7 | |
| 184 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{2}{100} \) x 10 = \( \frac{2 \times 10}{100} \) = \( \frac{20}{100} \) = 0.2 errors per hour
So, in an average hour, the machine will produce 10 - 0.2 = 9.8 error free parts.
The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 9.8 = 215.6 error free parts were produced yesterday.
How many 14-passenger vans will it take to drive all 98 members of the football team to an away game?
| 3 vans | |
| 4 vans | |
| 7 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 = \( \frac{98}{14} \) = 7
Christine scored 87% on her final exam. If each question was worth 4 points and there were 120 possible points on the exam, how many questions did Christine answer correctly?
| 14 | |
| 36 | |
| 26 | |
| 33 |
Christine scored 87% on the test meaning she earned 87% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.87 = 104 points. Each question is worth 4 points so she got \( \frac{104}{4} \) = 26 questions right.