| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
Which of the following is not an integer?
1 |
|
\({1 \over 2}\) |
|
0 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \sqrt{\frac{4}{25}} \)?
| \(\frac{2}{5}\) | |
| 2\(\frac{1}{4}\) | |
| \(\frac{1}{4}\) | |
| \(\frac{4}{5}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{4}{25}} \)
\( \frac{\sqrt{4}}{\sqrt{25}} \)
\( \frac{\sqrt{2^2}}{\sqrt{5^2}} \)
\(\frac{2}{5}\)
What is \( \frac{9}{4} \) + \( \frac{9}{6} \)?
| \( \frac{8}{12} \) | |
| 2 \( \frac{5}{12} \) | |
| 3\(\frac{3}{4}\) | |
| 1 \( \frac{1}{10} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{9 x 3}{4 x 3} \) + \( \frac{9 x 2}{6 x 2} \)
\( \frac{27}{12} \) + \( \frac{18}{12} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{27 + 18}{12} \) = \( \frac{45}{12} \) = 3\(\frac{3}{4}\)
How many 9-passenger vans will it take to drive all 93 members of the football team to an away game?
| 11 vans | |
| 13 vans | |
| 6 vans | |
| 3 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{93}{9} \) = 10\(\frac{1}{3}\)
So, it will take 10 full vans and one partially full van to transport the entire team making a total of 11 vans.
A tiger in a zoo has consumed 72 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 96 pounds?
| 6 | |
| 2 | |
| 3 | |
| 5 |
If the tiger has consumed 72 pounds of food in 9 days that's \( \frac{72}{9} \) = 8 pounds of food per day. The tiger needs to consume 96 - 72 = 24 more pounds of food to reach 96 pounds total. At 8 pounds of food per day that's \( \frac{24}{8} \) = 3 more days.