| 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 5% off." If Alex buys two shirts, each with a regular price of $49, how much money will he save?
| $4.90 | |
| $2.45 | |
| $12.25 | |
| $22.05 |
By buying two shirts, Alex will save $49 x \( \frac{5}{100} \) = \( \frac{$49 x 5}{100} \) = \( \frac{$245}{100} \) = $2.45 on the second shirt.
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 25 | |
| 34 | |
| 31 | |
| 26 |
The equation for this sequence is:
an = an-1 + 5
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 + 5
a6 = 21 + 5
a6 = 26
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 3:2 | |
| 1:1 | |
| 25:2 | |
| 1:8 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common multiple |
|
least common factor |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A machine in a factory has an error rate of 3 parts per 100. The machine normally runs 24 hours a day and produces 5 parts per hour. Yesterday the machine was shut down for 3 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 177.7 | |
| 107.5 | |
| 169.2 | |
| 101.9 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{3}{100} \) x 5 = \( \frac{3 \times 5}{100} \) = \( \frac{15}{100} \) = 0.15 errors per hour
So, in an average hour, the machine will produce 5 - 0.15 = 4.85 error free parts.
The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 4.85 = 101.9 error free parts were produced yesterday.