| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
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least common factor |
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greatest common factor |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 70% larger than the original. By what percentage has the area of the logo increased?
| 35% | |
| 20% | |
| 30% | |
| 15% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 9 gallon tank to fill it exactly halfway?
| 3 | |
| 6 | |
| 8 | |
| 5 |
To fill a 9 gallon tank exactly halfway you'll need 4\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{4\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 3
A bread recipe calls for 3\(\frac{5}{8}\) cups of flour. If you only have \(\frac{3}{8}\) cup, how much more flour is needed?
| 2\(\frac{3}{8}\) cups | |
| \(\frac{1}{4}\) cups | |
| 2\(\frac{3}{4}\) cups | |
| 3\(\frac{1}{4}\) cups |
The amount of flour you need is (3\(\frac{5}{8}\) - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{29}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{26}{8} \) cups
3\(\frac{1}{4}\) cups
If there were a total of 450 raffle tickets sold and you bought 18 tickets, what's the probability that you'll win the raffle?
| 4% | |
| 14% | |
| 12% | |
| 9% |
You have 18 out of the total of 450 raffle tickets sold so you have a (\( \frac{18}{450} \)) x 100 = \( \frac{18 \times 100}{450} \) = \( \frac{1800}{450} \) = 4% chance to win the raffle.