| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?
| 4 | |
| 6 | |
| 3 | |
| 2 |
To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{5 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 2
What is \( \frac{4}{9} \) ÷ \( \frac{2}{5} \)?
| 1\(\frac{1}{9}\) | |
| \(\frac{1}{16}\) | |
| \(\frac{12}{35}\) | |
| \(\frac{3}{64}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{9} \) ÷ \( \frac{2}{5} \) = \( \frac{4}{9} \) x \( \frac{5}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{9} \) x \( \frac{5}{2} \) = \( \frac{4 x 5}{9 x 2} \) = \( \frac{20}{18} \) = 1\(\frac{1}{9}\)
Which of the following is not a prime number?
2 |
|
5 |
|
7 |
|
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.
In a class of 26 students, 11 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 5 are taking both courses. How many students are not enrolled in either course?
| 14 | |
| 12 | |
| 13 | |
| 15 |
The number of students taking German or Spanish is 11 + 6 = 17. Of that group of 17, 5 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 17 - 5 = 12 who are taking at least one language. 26 - 12 = 14 students who are not taking either language.
What is -5a3 - 3a3?
| -8a3 | |
| 8a3 | |
| -8a-3 | |
| -2a6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-5a3 - 3a3
(-5 - 3)a3
-8a3