| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 43 | |
| 39 | |
| 41 | |
| 50 |
The equation for this sequence is:
an = an-1 + 8
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 8
a6 = 33 + 8
a6 = 41
Which of these numbers is a factor of 56?
| 14 | |
| 35 | |
| 20 | |
| 26 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
A triathlon course includes a 300m swim, a 20.2km bike ride, and a 5.9km run. What is the total length of the race course?
| 26.4km | |
| 46.1km | |
| 58km | |
| 60.7km |
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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 20.2km + 5.9km
total distance = 26.4km
Simplify \( \sqrt{48} \)
| 7\( \sqrt{6} \) | |
| 5\( \sqrt{6} \) | |
| 4\( \sqrt{3} \) | |
| 7\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)
Simplify \( \frac{24}{56} \).
| \( \frac{7}{16} \) | |
| \( \frac{4}{19} \) | |
| \( \frac{3}{7} \) | |
| \( \frac{9}{11} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 4 factors [1, 2, 4, 8] making 8 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{24}{56} \) = \( \frac{\frac{24}{8}}{\frac{56}{8}} \) = \( \frac{3}{7} \)