| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
What is the least common multiple of 6 and 14?
| 47 | |
| 11 | |
| 61 | |
| 42 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 have in common.
What is \( \sqrt{\frac{9}{64}} \)?
| 1\(\frac{2}{3}\) | |
| \(\frac{1}{3}\) | |
| 1\(\frac{3}{4}\) | |
| \(\frac{3}{8}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{9}{64}} \)
\( \frac{\sqrt{9}}{\sqrt{64}} \)
\( \frac{\sqrt{3^2}}{\sqrt{8^2}} \)
\(\frac{3}{8}\)
What is the distance in miles of a trip that takes 8 hours at an average speed of 55 miles per hour?
| 630 miles | |
| 150 miles | |
| 440 miles | |
| 240 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 55mph \times 8h \)
440 miles
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
greatest common multiple |
|
absolute value |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
|
\({2 \over 5} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
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.