| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Monty buys two shirts, each with a regular price of $31, how much money will he save?
| $15.50 | |
| $9.30 | |
| $13.95 | |
| $3.10 |
By buying two shirts, Monty will save $31 x \( \frac{45}{100} \) = \( \frac{$31 x 45}{100} \) = \( \frac{$1395}{100} \) = $13.95 on the second shirt.
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
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.
A machine in a factory has an error rate of 4 parts per 100. The machine normally runs 24 hours a day and produces 8 parts per hour. Yesterday the machine was shut down for 5 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 110.4 | |
| 79.9 | |
| 145.9 | |
| 103.7 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{4}{100} \) x 8 = \( \frac{4 \times 8}{100} \) = \( \frac{32}{100} \) = 0.32 errors per hour
So, in an average hour, the machine will produce 8 - 0.32 = 7.68 error free parts.
The machine ran for 24 - 5 = 19 hours yesterday so you would expect that 19 x 7.68 = 145.9 error free parts were produced yesterday.
Bob loaned Charlie $400 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $3 | |
| $36 | |
| $66 | |
| $45 |
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 $400
i = 0.09 x $400
i = $36
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 15 small cakes per hour. The kitchen is available for 4 hours and 29 large cakes and 460 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 6 | |
| 11 | |
| 5 | |
| 14 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 29 large cakes are needed for the party so \( \frac{29}{12} \) = 2\(\frac{5}{12}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 15 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 15 x 4 = 60 small cakes during that time. 460 small cakes are needed for the party so \( \frac{460}{60} \) = 7\(\frac{2}{3}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 3 + 8 = 11 cooks.