| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Monty buys two shirts, each with a regular price of $15, how much money will he save?
| $3.00 | |
| $0.75 | |
| $6.75 | |
| $6.00 |
By buying two shirts, Monty will save $15 x \( \frac{5}{100} \) = \( \frac{$15 x 5}{100} \) = \( \frac{$75}{100} \) = $0.75 on the second shirt.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
absolute value |
|
greatest common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
| 1.2 | |
| 1 | |
| 1.0 | |
| 0.2 |
1
Christine scored 90% on her final exam. If each question was worth 3 points and there were 120 possible points on the exam, how many questions did Christine answer correctly?
| 42 | |
| 36 | |
| 22 | |
| 49 |
Christine scored 90% on the test meaning she earned 90% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.9 = 108 points. Each question is worth 3 points so she got \( \frac{108}{3} \) = 36 questions right.
If a rectangle is twice as long as it is wide and has a perimeter of 48 meters, what is the area of the rectangle?
| 128 m2 | |
| 18 m2 | |
| 98 m2 | |
| 32 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 48 meters so the equation becomes: 2w + 2h = 48.
Putting these two equations together and solving for width (w):
2w + 2h = 48
w + h = \( \frac{48}{2} \)
w + h = 24
w = 24 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 24 - 2w
3w = 24
w = \( \frac{24}{3} \)
w = 8
Since h = 2w that makes h = (2 x 8) = 16 and the area = h x w = 8 x 16 = 128 m2