| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
What is the greatest common factor of 80 and 24?
| 2 | |
| 3 | |
| 16 | |
| 8 |
The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 80 and 24 have in common.
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 61 | |
| 65 | |
| 58 | |
| 53 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Alex buys two shirts, each with a regular price of $24, how much will he pay for both shirts?
| $28.80 | |
| $8.40 | |
| $39.60 | |
| $15.60 |
By buying two shirts, Alex will save $24 x \( \frac{35}{100} \) = \( \frac{$24 x 35}{100} \) = \( \frac{$840}{100} \) = $8.40 on the second shirt.
So, his total cost will be
$24.00 + ($24.00 - $8.40)
$24.00 + $15.60
$39.60
What is (z3)4?
| z12 | |
| z | |
| 4z3 | |
| 3z4 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z3)4Which of the following is a mixed number?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.