| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
What is the least common multiple of 5 and 9?
| 31 | |
| 24 | |
| 15 | |
| 45 |
The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 5 and 9 have in common.
Bob loaned Christine $1,100 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,122 | |
| $1,144 | |
| $1,166 | |
| $1,188 |
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 $1,100
i = 0.04 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $44Simplify \( \frac{16}{52} \).
| \( \frac{4}{9} \) | |
| \( \frac{5}{8} \) | |
| \( \frac{4}{13} \) | |
| \( \frac{8}{19} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{52} \) = \( \frac{\frac{16}{4}}{\frac{52}{4}} \) = \( \frac{4}{13} \)
Which of the following is not a prime number?
2 |
|
7 |
|
9 |
|
5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Bob buys two shirts, each with a regular price of $11, how much money will he save?
| $3.85 | |
| $1.65 | |
| $5.50 | |
| $2.75 |
By buying two shirts, Bob will save $11 x \( \frac{25}{100} \) = \( \frac{$11 x 25}{100} \) = \( \frac{$275}{100} \) = $2.75 on the second shirt.