| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
A tiger in a zoo has consumed 165 pounds of food in 11 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 225 pounds?
| 6 | |
| 9 | |
| 10 | |
| 4 |
If the tiger has consumed 165 pounds of food in 11 days that's \( \frac{165}{11} \) = 15 pounds of food per day. The tiger needs to consume 225 - 165 = 60 more pounds of food to reach 225 pounds total. At 15 pounds of food per day that's \( \frac{60}{15} \) = 4 more days.
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
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\({2 \over 5} \) |
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\({7 \over 5} \) |
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\({a \over 5} \) |
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.
Simplify \( \sqrt{8} \)
| 8\( \sqrt{4} \) | |
| 9\( \sqrt{4} \) | |
| 2\( \sqrt{2} \) | |
| 6\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)
| 6.3 | |
| 1 | |
| 3.6 | |
| 0.3 |
1
What is \( \frac{2}{7} \) ÷ \( \frac{1}{8} \)?
| 2\(\frac{2}{7}\) | |
| \(\frac{1}{36}\) | |
| 16 | |
| \(\frac{1}{5}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{7} \) ÷ \( \frac{1}{8} \) = \( \frac{2}{7} \) x \( \frac{8}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{8}{1} \) = \( \frac{2 x 8}{7 x 1} \) = \( \frac{16}{7} \) = 2\(\frac{2}{7}\)