| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
A circular logo is enlarged to fit the lid of a jar. The new diameter is 70% larger than the original. By what percentage has the area of the logo increased?
| 37\(\frac{1}{2}\)% | |
| 25% | |
| 35% | |
| 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 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%
Diane scored 75% on her final exam. If each question was worth 4 points and there were 400 possible points on the exam, how many questions did Diane answer correctly?
| 79 | |
| 72 | |
| 75 | |
| 85 |
Diane scored 75% on the test meaning she earned 75% of the possible points on the test. There were 400 possible points on the test so she earned 400 x 0.75 = 300 points. Each question is worth 4 points so she got \( \frac{300}{4} \) = 75 questions right.
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| 14 | |
| 6 | |
| 7 | |
| 3 |
The equation for this sequence is:
an = an-1 + 1
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 + 1
a6 = 5 + 1
a6 = 6
How many 9-passenger vans will it take to drive all 99 members of the football team to an away game?
| 3 vans | |
| 11 vans | |
| 8 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{99}{9} \) = 11
Convert x-5 to remove the negative exponent.
| \( \frac{-1}{-5x} \) | |
| \( \frac{-5}{x} \) | |
| \( \frac{1}{x^{-5}} \) | |
| \( \frac{1}{x^5} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.