| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
| 8 | |
| 9 | |
| 4 | |
| 5 |
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4
A bread recipe calls for 2\(\frac{5}{8}\) cups of flour. If you only have 1\(\frac{3}{4}\) cups, how much more flour is needed?
| \(\frac{7}{8}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 1 cups |
The amount of flour you need is (2\(\frac{5}{8}\) - 1\(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{21}{8} \) - \( \frac{14}{8} \)) cups
\( \frac{7}{8} \) cups
\(\frac{7}{8}\) cups
Frank loaned Alex $100 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $1 | |
| $56 | |
| $135 | |
| $4 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $100
i = 0.01 x $100
i = $1
A machine in a factory has an error rate of 4 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?
| 113.1 | |
| 155.5 | |
| 69.8 | |
| 103.7 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{4}{100} \) x 6 = \( \frac{4 \times 6}{100} \) = \( \frac{24}{100} \) = 0.24 errors per hour
So, in an average hour, the machine will produce 6 - 0.24 = 5.76 error free parts.
The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 5.76 = 103.7 error free parts were produced yesterday.
What is the least common multiple of 3 and 9?
| 7 | |
| 9 | |
| 18 | |
| 1 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 have in common.