| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
A bread recipe calls for 1\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{1}{2}\) cups, how much more flour is needed?
| 1\(\frac{5}{8}\) cups | |
| 3\(\frac{5}{8}\) cups | |
| \(\frac{3}{8}\) cups | |
| 1 cups |
The amount of flour you need is (1\(\frac{7}{8}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{15}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{3}{8} \) cups
\(\frac{3}{8}\) cups
How many 9-passenger vans will it take to drive all 65 members of the football team to an away game?
| 8 vans | |
| 12 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 = \( \frac{65}{9} \) = 7\(\frac{2}{9}\)
So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.
April scored 80% on her final exam. If each question was worth 4 points and there were 280 possible points on the exam, how many questions did April answer correctly?
| 56 | |
| 57 | |
| 66 | |
| 52 |
April scored 80% on the test meaning she earned 80% of the possible points on the test. There were 280 possible points on the test so she earned 280 x 0.8 = 224 points. Each question is worth 4 points so she got \( \frac{224}{4} \) = 56 questions right.
A machine in a factory has an error rate of 6 parts per 100. The machine normally runs 24 hours a day and produces 6 parts per hour. Yesterday the machine was shut down for 6 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 92 | |
| 73.5 | |
| 101.5 | |
| 186.1 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{6}{100} \) x 6 = \( \frac{6 \times 6}{100} \) = \( \frac{36}{100} \) = 0.36 errors per hour
So, in an average hour, the machine will produce 6 - 0.36 = 5.64 error free parts.
The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 5.64 = 101.5 error free parts were produced yesterday.
Simplify \( \frac{36}{80} \).
| \( \frac{9}{20} \) | |
| \( \frac{6}{11} \) | |
| \( \frac{6}{19} \) | |
| \( \frac{9}{19} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{36}{80} \) = \( \frac{\frac{36}{4}}{\frac{80}{4}} \) = \( \frac{9}{20} \)