| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 45% larger than the original. By what percentage has the area of the logo increased?
| 30% | |
| 17\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 25% |
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 45% the radius (and, consequently, the total area) increases by \( \frac{45\text{%}}{2} \) = 22\(\frac{1}{2}\)%
What is -3x4 - x4?
| -2x4 | |
| -4x4 | |
| -2x-8 | |
| -2x8 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-3x4 - 1x4
(-3 - 1)x4
-4x4
In a class of 36 students, 12 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 13 | |
| 35 | |
| 27 | |
| 15 |
The number of students taking German or Spanish is 12 + 12 = 24. Of that group of 24, 3 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 24 - 3 = 21 who are taking at least one language. 36 - 21 = 15 students who are not taking either language.
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 23 | |
| 31 | |
| 34 | |
| 26 |
The equation for this sequence is:
an = an-1 + 5
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 + 5
a6 = 21 + 5
a6 = 26
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Roger buys two shirts, each with a regular price of $31, how much money will he save?
| $15.50 | |
| 55 | |
| $9.30 | |
| $6.20 |
By buying two shirts, Roger will save $31 x \( \frac{50}{100} \) = \( \frac{$31 x 50}{100} \) = \( \frac{$1550}{100} \) = $15.50 on the second shirt.