| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
What is the greatest common factor of 60 and 36?
| 16 | |
| 7 | |
| 1 | |
| 12 |
The factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60] and the factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 the greatest factor 60 and 36 have in common.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
absolute value |
|
least common multiple |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Ezra buys two shirts, each with a regular price of $31, how much will he pay for both shirts?
| $20.15 | |
| $10.85 | |
| $34.10 | |
| $51.15 |
By buying two shirts, Ezra will save $31 x \( \frac{35}{100} \) = \( \frac{$31 x 35}{100} \) = \( \frac{$1085}{100} \) = $10.85 on the second shirt.
So, his total cost will be
$31.00 + ($31.00 - $10.85)
$31.00 + $20.15
$51.15
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?
| 9:4 | |
| 3:8 | |
| 25:2 | |
| 1:4 |
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.
In a class of 22 students, 5 are taking German and 5 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 12 | |
| 22 | |
| 19 | |
| 14 |
The number of students taking German or Spanish is 5 + 5 = 10. Of that group of 10, 2 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 10 - 2 = 8 who are taking at least one language. 22 - 8 = 14 students who are not taking either language.