| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common multiple |
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absolute value |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
4! = ?
3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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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.
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 6 | |
| 4 | |
| 8 | |
| 5 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
What is \( \frac{3}{9} \) ÷ \( \frac{4}{7} \)?
| \(\frac{1}{63}\) | |
| \(\frac{7}{12}\) | |
| 2\(\frac{1}{3}\) | |
| \(\frac{3}{28}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{9} \) ÷ \( \frac{4}{7} \) = \( \frac{3}{9} \) x \( \frac{7}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{9} \) x \( \frac{7}{4} \) = \( \frac{3 x 7}{9 x 4} \) = \( \frac{21}{36} \) = \(\frac{7}{12}\)
The total water usage for a city is 35,000 gallons each day. Of that total, 18% is for personal use and 53% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 14,000 | |
| 7,200 | |
| 12,250 | |
| 12,500 |
53% of the water consumption is industrial use and 18% is personal use so (53% - 18%) = 35% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{35}{100} \) x 35,000 gallons = 12,250 gallons.