| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.76 |
| Score | 0% | 75% |
4! = ?
5 x 4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
The total water usage for a city is 50,000 gallons each day. Of that total, 32% is for personal use and 55% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 16,000 | |
| 10,200 | |
| 1,300 | |
| 11,500 |
55% of the water consumption is industrial use and 32% is personal use so (55% - 32%) = 23% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{23}{100} \) x 50,000 gallons = 11,500 gallons.
Which of the following is a mixed number?
\({a \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
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.
What is \( \frac{4}{7} \) x \( \frac{3}{9} \)?
| \(\frac{2}{7}\) | |
| \(\frac{3}{16}\) | |
| \(\frac{1}{20}\) | |
| \(\frac{4}{21}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{7} \) x \( \frac{3}{9} \) = \( \frac{4 x 3}{7 x 9} \) = \( \frac{12}{63} \) = \(\frac{4}{21}\)
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.