| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Roger buys two shirts, each with a regular price of $34, how much will he pay for both shirts?
| $51.00 | |
| $64.60 | |
| $42.50 | |
| $3.40 |
By buying two shirts, Roger will save $34 x \( \frac{10}{100} \) = \( \frac{$34 x 10}{100} \) = \( \frac{$340}{100} \) = $3.40 on the second shirt.
So, his total cost will be
$34.00 + ($34.00 - $3.40)
$34.00 + $30.60
$64.60
Bob loaned Alex $1,200 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $45 | |
| $105 | |
| $4 | |
| $60 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,200
i = 0.05 x $1,200
i = $60
A machine in a factory has an error rate of 2 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 2 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 172.8 | |
| 153.9 | |
| 98.3 | |
| 150.9 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{2}{100} \) x 7 = \( \frac{2 \times 7}{100} \) = \( \frac{14}{100} \) = 0.14 errors per hour
So, in an average hour, the machine will produce 7 - 0.14 = 6.86 error free parts.
The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 6.86 = 150.9 error free parts were produced yesterday.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 55% larger than the original. By what percentage has the area of the logo increased?
| 27\(\frac{1}{2}\)% | |
| 30% | |
| 20% | |
| 37\(\frac{1}{2}\)% |
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 55% the radius (and, consequently, the total area) increases by \( \frac{55\text{%}}{2} \) = 27\(\frac{1}{2}\)%
Simplify \( \frac{28}{68} \).
| \( \frac{4}{15} \) | |
| \( \frac{5}{18} \) | |
| \( \frac{7}{17} \) | |
| \( \frac{1}{2} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{28}{68} \) = \( \frac{\frac{28}{4}}{\frac{68}{4}} \) = \( \frac{7}{17} \)