| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
Find the average of the following numbers: 10, 4, 10, 4.
| 12 | |
| 2 | |
| 7 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 4 + 10 + 4}{4} \) = \( \frac{28}{4} \) = 7
What is \( \frac{2}{8} \) x \( \frac{2}{9} \)?
| \(\frac{1}{18}\) | |
| \(\frac{4}{15}\) | |
| \(\frac{1}{16}\) | |
| \(\frac{12}{35}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{2}{9} \) = \( \frac{2 x 2}{8 x 9} \) = \( \frac{4}{72} \) = \(\frac{1}{18}\)
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
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.
A triathlon course includes a 400m swim, a 20.1km bike ride, and a 8.9km run. What is the total length of the race course?
| 49.5km | |
| 33.6km | |
| 29.4km | |
| 47.2km |
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 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 + 20.1km + 8.9km
total distance = 29.4km
Which of the following statements about exponents is false?
all of these are false |
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b1 = b |
|
b1 = 1 |
|
b0 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).