| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.74 |
| Score | 0% | 75% |
What is the next number in this sequence: 1, 3, 5, 7, 9, __________ ?
| 16 | |
| 11 | |
| 13 | |
| 9 |
The equation for this sequence is:
an = an-1 + 2
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 + 2
a6 = 9 + 2
a6 = 11
What is \( \frac{3}{7} \) ÷ \( \frac{3}{9} \)?
| 1\(\frac{2}{7}\) | |
| \(\frac{2}{15}\) | |
| \(\frac{1}{21}\) | |
| 9 |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{7} \) ÷ \( \frac{3}{9} \) = \( \frac{3}{7} \) x \( \frac{9}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{9}{3} \) = \( \frac{3 x 9}{7 x 3} \) = \( \frac{27}{21} \) = 1\(\frac{2}{7}\)
Which of the following is not an integer?
0 |
|
\({1 \over 2}\) |
|
-1 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
A triathlon course includes a 100m swim, a 50.1km bike ride, and a 11.600000000000001km run. What is the total length of the race course?
| 64.4km | |
| 42.1km | |
| 29.8km | |
| 61.8km |
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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 50.1km + 11.600000000000001km
total distance = 61.8km
Which of the following is an improper fraction?
\({2 \over 5} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.