| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
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?
| 35% | |
| 37\(\frac{1}{2}\)% | |
| 27\(\frac{1}{2}\)% | |
| 20% |
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\(\frac{1}{2}\)%
In a class of 20 students, 11 are taking German and 9 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 16 | |
| 6 | |
| 17 | |
| 12 |
The number of students taking German or Spanish is 11 + 9 = 20. Of that group of 20, 6 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 20 - 6 = 14 who are taking at least one language. 20 - 14 = 6 students who are not taking either language.
Convert 0.0008948 to scientific notation.
| 8.948 x 10-5 | |
| 8.948 x 10-3 | |
| 8.948 x 104 | |
| 8.948 x 10-4 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0008948 in scientific notation is 8.948 x 10-4
Which of the following is not an integer?
\({1 \over 2}\) |
|
-1 |
|
1 |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{56\sqrt{12}}{8\sqrt{4}} \)?
| 7 \( \sqrt{3} \) | |
| 3 \( \sqrt{7} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{3}\) \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{56\sqrt{12}}{8\sqrt{4}} \)
\( \frac{56}{8} \) \( \sqrt{\frac{12}{4}} \)
7 \( \sqrt{3} \)