Theory
What is the first step you have to take when given a math problem?
Understand the problem.
If you arrange the digits 1, 2 and 3 in two different forms, you are going to get two numbers that are divisible by 6. What are the numbers?
312 and 132
Suppose you want to cut a 4-foot-long party sub into 20 pieces by first cutting it length-wise down the middle, then making a series of crosscuts. Is it possible to find the number of cuts you are going to need? If yes, how many cuts?
Yes, 10 cuts.
What is the second step you have to take when given a math problem?
Devise a plan.
If you arrange the digits 2, 3, and 4 in two different forms you get two numbers that are divisible by 4. What are the numbers?
324 and 432
Michelle shipped some packages for her boss and can't find the receipt. Here's what she remembers: there were 12 packages total, split between flat-rate boxes ($5 each) and medium flat-rate boxes ($10.50 each). The total cost was about $110. Does this problem make any sense? If yes, how many packages of each type did she ship?
Yes, three small and nine medium.
What is the third step you have to take when given a math problem?
Carry out the plan.
If you arrange the digits 3, 4, and 5 in two different forms you get two numbers that are divisible by 5. What are the numbers?
345 and 435
A student teacher wants to divide his sixth grade class into teams to work on a project. He'd like to have somewhere between 3 and 6 students in each team, and wants every team to have the same number of students. If his class has 26 students, is it possible to determine the number of teams he needs to have? If yes, how many students are there in each team?
None of those team sizes will work.
What is the last step you have to take when given a math problem?
If you arrange the digits 4, 5, and 6 you get one number that is divisible by 7. What is the number?
546
A condo on the water can be rented for $280 per day, with a nonrefundable application fee of $50. Another one down the beach can be rented for $2,100 per week. Which condo costs less for a week's stay?
The condo for $280 per day costs less for a week.