| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({2 \over 5} \) |
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.
What is \( \frac{12\sqrt{14}}{4\sqrt{7}} \)?
| 2 \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{2}} \) | |
| 3 \( \sqrt{2} \) | |
| 3 \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{12\sqrt{14}}{4\sqrt{7}} \)
\( \frac{12}{4} \) \( \sqrt{\frac{14}{7}} \)
3 \( \sqrt{2} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Alex buys two shirts, each with a regular price of $10, how much money will he save?
| $0.50 | |
| $2.00 | |
| $1.00 | |
| $1.50 |
By buying two shirts, Alex will save $10 x \( \frac{5}{100} \) = \( \frac{$10 x 5}{100} \) = \( \frac{$50}{100} \) = $0.50 on the second shirt.
Betty scored 93% on her final exam. If each question was worth 3 points and there were 240 possible points on the exam, how many questions did Betty answer correctly?
| 62 | |
| 75 | |
| 74 | |
| 67 |
Betty scored 93% on the test meaning she earned 93% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.93 = 222 points. Each question is worth 3 points so she got \( \frac{222}{3} \) = 74 questions right.
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 46,000 seats in a stadium are filled, how many home fans are in attendance?
| 21,333 | |
| 30,667 | |
| 22,667 | |
| 32,500 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
46,000 fans x \( \frac{2}{3} \) = \( \frac{92000}{3} \) = 30,667 fans.