| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 45 | |
| 46 | |
| 43 | |
| 55 |
The equation for this sequence is:
an = an-1 + 3(n - 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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
Which of these numbers is a factor of 32?
| 4 | |
| 12 | |
| 9 | |
| 2 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 18 small cakes per hour. The kitchen is available for 3 hours and 30 large cakes and 340 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 13 | |
| 12 | |
| 9 | |
| 15 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 2 x 3 = 6 large cakes during that time. 30 large cakes are needed for the party so \( \frac{30}{6} \) = 5 cooks are needed to bake the required number of large cakes.
If a single cook can bake 18 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 18 x 3 = 54 small cakes during that time. 340 small cakes are needed for the party so \( \frac{340}{54} \) = 6\(\frac{8}{27}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 5 + 7 = 12 cooks.
Bob loaned Betty $1,200 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,236 | |
| $1,284 | |
| $1,260 | |
| $1,272 |
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 $1,200
i = 0.05 x $1,200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,200 + $60The total water usage for a city is 35,000 gallons each day. Of that total, 30% is for personal use and 50% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 2,100 | |
| 7,000 | |
| 6,500 | |
| 10,200 |
50% of the water consumption is industrial use and 30% is personal use so (50% - 30%) = 20% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{20}{100} \) x 35,000 gallons = 7,000 gallons.