| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
The total water usage for a city is 50,000 gallons each day. Of that total, 11% is for personal use and 33% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 11,000 | |
| 5,400 | |
| 11,500 | |
| 3,500 |
33% of the water consumption is industrial use and 11% is personal use so (33% - 11%) = 22% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{22}{100} \) x 50,000 gallons = 11,000 gallons.
Monty loaned Latoya $100 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?
| $106 | |
| $105 | |
| $101 | |
| $107 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $100
i = 0.01 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $1What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 41 | |
| 36 | |
| 34 | |
| 43 |
The equation for this sequence is:
an = an-1 + 8
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 + 8
a6 = 33 + 8
a6 = 41
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?
| 25% | |
| 30% | |
| 22\(\frac{1}{2}\)% | |
| 35% |
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 the least common multiple of 2 and 6?
| 6 | |
| 9 | |
| 7 | |
| 10 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 have in common.