| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 55% larger than the original. By what percentage has the area of the logo increased?
| 30% | |
| 35% | |
| 22\(\frac{1}{2}\)% | |
| 27\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 55% the radius (and, consequently, the total area) increases by \( \frac{55\text{%}}{2} \) = 27\(\frac{1}{2}\)%
What is \( \frac{4}{7} \) ÷ \( \frac{1}{7} \)?
| 4 | |
| \(\frac{4}{15}\) | |
| 28 | |
| \(\frac{2}{27}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{7} \) ÷ \( \frac{1}{7} \) = \( \frac{4}{7} \) x \( \frac{7}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{7} \) x \( \frac{7}{1} \) = \( \frac{4 x 7}{7 x 1} \) = \( \frac{28}{7} \) = 4
Which of the following is not an integer?
\({1 \over 2}\) |
|
0 |
|
1 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Which of these numbers is a factor of 64?
| 1 | |
| 10 | |
| 35 | |
| 31 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
What is the distance in miles of a trip that takes 6 hours at an average speed of 20 miles per hour?
| 180 miles | |
| 200 miles | |
| 120 miles | |
| 60 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 = \( 20mph \times 6h \)
120 miles