| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Frank buys two shirts, each with a regular price of $22, how much money will he save?
| $11.00 | |
| $3.30 | |
| $1.10 | |
| $2.20 |
By buying two shirts, Frank will save $22 x \( \frac{5}{100} \) = \( \frac{$22 x 5}{100} \) = \( \frac{$110}{100} \) = $1.10 on the second shirt.
What is \( \frac{9}{6} \) + \( \frac{7}{12} \)?
| 2 \( \frac{1}{4} \) | |
| \( \frac{7}{12} \) | |
| 2\(\frac{1}{12}\) | |
| 1 \( \frac{1}{4} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 6 and 12 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{9 x 2}{6 x 2} \) + \( \frac{7 x 1}{12 x 1} \)
\( \frac{18}{12} \) + \( \frac{7}{12} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{18 + 7}{12} \) = \( \frac{25}{12} \) = 2\(\frac{1}{12}\)
What is \( \frac{1}{9} \) ÷ \( \frac{2}{5} \)?
| 2\(\frac{1}{2}\) | |
| \(\frac{1}{18}\) | |
| \(\frac{5}{18}\) | |
| \(\frac{3}{14}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{9} \) ÷ \( \frac{2}{5} \) = \( \frac{1}{9} \) x \( \frac{5}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{5}{2} \) = \( \frac{1 x 5}{9 x 2} \) = \( \frac{5}{18} \) = \(\frac{5}{18}\)
A triathlon course includes a 400m swim, a 30.8km bike ride, and a 6.6km run. What is the total length of the race course?
| 52.7km | |
| 33.2km | |
| 57.2km | |
| 37.8km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 30.8km + 6.6km
total distance = 37.8km
Find the average of the following numbers: 13, 5, 12, 6.
| 9 | |
| 4 | |
| 11 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{13 + 5 + 12 + 6}{4} \) = \( \frac{36}{4} \) = 9