| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Monty buys two shirts, each with a regular price of $16, how much will he pay for both shirts?
| $27.20 | |
| $18.40 | |
| $16.80 | |
| $11.20 |
By buying two shirts, Monty will save $16 x \( \frac{30}{100} \) = \( \frac{$16 x 30}{100} \) = \( \frac{$480}{100} \) = $4.80 on the second shirt.
So, his total cost will be
$16.00 + ($16.00 - $4.80)
$16.00 + $11.20
$27.20
Which of the following is not a prime number?
2 |
|
7 |
|
9 |
|
5 |
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.
A triathlon course includes a 500m swim, a 50.9km bike ride, and a 12.8km run. What is the total length of the race course?
| 63.7km | |
| 55.8km | |
| 64.2km | |
| 52.2km |
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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 50.9km + 12.8km
total distance = 64.2km
What is \( \frac{3}{4} \) + \( \frac{4}{6} \)?
| 1 \( \frac{7}{11} \) | |
| 2 \( \frac{5}{8} \) | |
| 1\(\frac{5}{12}\) | |
| 2 \( \frac{5}{9} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 3}{4 x 3} \) + \( \frac{4 x 2}{6 x 2} \)
\( \frac{9}{12} \) + \( \frac{8}{12} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{9 + 8}{12} \) = \( \frac{17}{12} \) = 1\(\frac{5}{12}\)
If a car travels 80 miles in 2 hours, what is the average speed?
| 30 mph | |
| 15 mph | |
| 40 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)