| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 10 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 22 | |
| 11 | |
| 25 | |
| 16 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{50}{100} \) = \( \frac{50 x 10}{100} \) = \( \frac{500}{100} \) = 5 shots
The center makes 45% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{5}{\frac{45}{100}} \) = 5 x \( \frac{100}{45} \) = \( \frac{5 x 100}{45} \) = \( \frac{500}{45} \) = 11 shots
to make the same number of shots as the guard and thus score the same number of points.
A machine in a factory has an error rate of 7 parts per 100. The machine normally runs 24 hours a day and produces 9 parts per hour. Yesterday the machine was shut down for 2 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 191.1 | |
| 184.1 | |
| 138.2 | |
| 97.6 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{7}{100} \) x 9 = \( \frac{7 \times 9}{100} \) = \( \frac{63}{100} \) = 0.63 errors per hour
So, in an average hour, the machine will produce 9 - 0.63 = 8.37 error free parts.
The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 8.37 = 184.1 error free parts were produced yesterday.
Monty loaned Betty $300 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?
| $315 | |
| $327 | |
| $321 | |
| $306 |
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 $300
i = 0.07 x $300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $300 + $21A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Alex buys two shirts, each with a regular price of $18, how much will he pay for both shirts?
| $9.00 | |
| $23.40 | |
| $27.00 | |
| $21.60 |
By buying two shirts, Alex will save $18 x \( \frac{50}{100} \) = \( \frac{$18 x 50}{100} \) = \( \frac{$900}{100} \) = $9.00 on the second shirt.
So, his total cost will be
$18.00 + ($18.00 - $9.00)
$18.00 + $9.00
$27.00
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 13 | |
| 7 | |
| 16 | |
| 25 |
The equation for this sequence is:
an = an-1 + 3
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3
a6 = 13 + 3
a6 = 16