| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
What is \( \frac{5}{8} \) - \( \frac{5}{10} \)?
| \(\frac{1}{8}\) | |
| 2 \( \frac{8}{40} \) | |
| \( \frac{3}{6} \) | |
| 2 \( \frac{6}{10} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{5 x 5}{8 x 5} \) - \( \frac{5 x 4}{10 x 4} \)
\( \frac{25}{40} \) - \( \frac{20}{40} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{25 - 20}{40} \) = \( \frac{5}{40} \) = \(\frac{1}{8}\)
Christine scored 86% on her final exam. If each question was worth 3 points and there were 300 possible points on the exam, how many questions did Christine answer correctly?
| 73 | |
| 99 | |
| 86 | |
| 97 |
Christine scored 86% on the test meaning she earned 86% of the possible points on the test. There were 300 possible points on the test so she earned 300 x 0.86 = 258 points. Each question is worth 3 points so she got \( \frac{258}{3} \) = 86 questions right.
What is the least common multiple of 8 and 10?
| 40 | |
| 43 | |
| 26 | |
| 77 |
The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 have in common.
A tiger in a zoo has consumed 154 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 210 pounds?
| 15 | |
| 6 | |
| 7 | |
| 4 |
If the tiger has consumed 154 pounds of food in 11 days that's \( \frac{154}{11} \) = 14 pounds of food per day. The tiger needs to consume 210 - 154 = 56 more pounds of food to reach 210 pounds total. At 14 pounds of food per day that's \( \frac{56}{14} \) = 4 more days.
Which of the following is not a prime number?
7 |
|
2 |
|
5 |
|
9 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.