| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
What is \( \frac{1}{8} \) ÷ \( \frac{1}{7} \)?
| \(\frac{7}{8}\) | |
| \(\frac{2}{15}\) | |
| \(\frac{3}{32}\) | |
| \(\frac{8}{45}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{8} \) ÷ \( \frac{1}{7} \) = \( \frac{1}{8} \) x \( \frac{7}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{8} \) x \( \frac{7}{1} \) = \( \frac{1 x 7}{8 x 1} \) = \( \frac{7}{8} \) = \(\frac{7}{8}\)
Latoya scored 93% on her final exam. If each question was worth 4 points and there were 360 possible points on the exam, how many questions did Latoya answer correctly?
| 84 | |
| 72 | |
| 83 | |
| 87 |
Latoya scored 93% on the test meaning she earned 93% of the possible points on the test. There were 360 possible points on the test so she earned 360 x 0.93 = 336 points. Each question is worth 4 points so she got \( \frac{336}{4} \) = 84 questions right.
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?
| 22\(\frac{1}{2}\)% | |
| 35% | |
| 30% | |
| 27\(\frac{1}{2}\)% |
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 gallon cans worth of fuel would you need to pour into an empty 4 gallon tank to fill it exactly halfway?
| 2 | |
| 5 | |
| 6 | |
| 4 |
To fill a 4 gallon tank exactly halfway you'll need 2 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{2 \text{ gallons}}{1 \text{ gallons}} \) = 2
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
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.