| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Ezra buys two shirts, each with a regular price of $45, how much will he pay for both shirts?
| $67.50 | |
| $76.50 | |
| $31.50 | |
| $49.50 |
By buying two shirts, Ezra will save $45 x \( \frac{30}{100} \) = \( \frac{$45 x 30}{100} \) = \( \frac{$1350}{100} \) = $13.50 on the second shirt.
So, his total cost will be
$45.00 + ($45.00 - $13.50)
$45.00 + $31.50
$76.50
What is the distance in miles of a trip that takes 9 hours at an average speed of 40 miles per hour?
| 360 miles | |
| 375 miles | |
| 140 miles | |
| 320 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 9h \)
360 miles
A machine in a factory has an error rate of 9 parts per 100. The machine normally runs 24 hours a day and produces 10 parts per hour. Yesterday the machine was shut down for 5 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 172.9 | |
| 190.1 | |
| 156.8 | |
| 156.4 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{9}{100} \) x 10 = \( \frac{9 \times 10}{100} \) = \( \frac{90}{100} \) = 0.9 errors per hour
So, in an average hour, the machine will produce 10 - 0.9 = 9.1 error free parts.
The machine ran for 24 - 5 = 19 hours yesterday so you would expect that 19 x 9.1 = 172.9 error free parts were produced yesterday.
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 20 small cakes per hour. The kitchen is available for 4 hours and 32 large cakes and 320 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?
| 11 | |
| 8 | |
| 9 | |
| 10 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 2 x 4 = 8 large cakes during that time. 32 large cakes are needed for the party so \( \frac{32}{8} \) = 4 cooks are needed to bake the required number of large cakes.
If a single cook can bake 20 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 20 x 4 = 80 small cakes during that time. 320 small cakes are needed for the party so \( \frac{320}{80} \) = 4 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 4 + 4 = 8 cooks.
In a class of 26 students, 10 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 7 | |
| 21 | |
| 10 | |
| 11 |
The number of students taking German or Spanish is 10 + 13 = 23. Of that group of 23, 4 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 23 - 4 = 19 who are taking at least one language. 26 - 19 = 7 students who are not taking either language.