| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
What is the greatest common factor of 80 and 72?
| 21 | |
| 38 | |
| 44 | |
| 8 |
The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 80 and 72 have in common.
What is \( \frac{4}{8} \) ÷ \( \frac{2}{6} \)?
| \(\frac{1}{12}\) | |
| 12 | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{48}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{8} \) ÷ \( \frac{2}{6} \) = \( \frac{4}{8} \) x \( \frac{6}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{6}{2} \) = \( \frac{4 x 6}{8 x 2} \) = \( \frac{24}{16} \) = 1\(\frac{1}{2}\)
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 18 small cakes per hour. The kitchen is available for 3 hours and 39 large cakes and 390 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 5 | |
| 8 | |
| 13 | |
| 9 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 3 x 3 = 9 large cakes during that time. 39 large cakes are needed for the party so \( \frac{39}{9} \) = 4\(\frac{1}{3}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 18 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 18 x 3 = 54 small cakes during that time. 390 small cakes are needed for the party so \( \frac{390}{54} \) = 7\(\frac{2}{9}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 5 + 8 = 13 cooks.
Which of the following is not an integer?
1 |
|
-1 |
|
0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
If a car travels 25 miles in 1 hour, what is the average speed?
| 20 mph | |
| 75 mph | |
| 60 mph | |
| 25 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)