Tag Archives: problem solving

Number Theory Problem Solving

A school has 1.000 students and 1.000 lockers. The lockers are numbered from 1 to 1.000. The students enter the building one at the time. The first student open all the lockers. The second student begins with the second locker and closes all the lockers with even numbers.

The third student begins with the third locker and changes-either by opening closed doors or closing open doors-all lockers with numbers that are multiples of 3. The fourth students begins with the fourth locker and changes all lockers with numbers that are multiples 0f 4. This pattern continues until all the students walk past all the lockers. After the last student has gone by the lockers, which lockers are open ?

How to Solve Math Problem

Do you have a problem when you want to solve math problem ? I have six steps for you and download file for clear.
Step 1
Read the problem.

Step 2
Find out, what am I supposed to find out. If it is too complicated to understand at the first time read the problem again and again.

Step 3
Look for clues words to show which operation to use,
Addition:
and…add…
addend…plus…
sum…more…
more than…
in all…total…
all together…
perimeter…
combined

Suctraction
Minuend…subtrahend
difference…subtract
minus…take away…
less than…remain…
are left…have left
how much more
fewer…are not…
decreased by…
how much change (money) is left

Multiplication
factor…product…times…of…
multiplied by…
area…volume…
each…twice=2x…thrice=3x… …how many times more…

Division
dividend…divisor
…quotient…
divided by…per…
half = ÷ 2…
separated…rate…
ratio…fraction…
decimal…part…
percent…

Beware…
Of red herrings! (false clues) In this case, numbers that are just there to trick you, but are not needed to solve the problem.

What to do
if you’ve read the question more than once, and you still don’t know which way to turn..

Then just do something!
You know there are four operations and you’ll have to do at least one of them. So pick one.
You know you need to do that operation using at least two numbers, so pick two of the numbers in the problem. Then either add ‘em, subtract ‘em, multiply ‘em, or divide ‘em. You may be wrong, but YOU MAY BE RIGHT!

mathproblem

Step 4
Solve the problem.

Step 5
Now think… Does this answer make sense? Would I expect this to be the answer?

Remember
If you ONLY answer half the question, EVEN if you get that half 100% right… That’s only 50% of the question… And 50% is an F!

Step 6
Ask yourself… Are there more parts to this question? (Some questions have two or more parts!) Check your work… just work backwards, using the opposite operations and see if you end up where you began.

Congratulations!
That’s how to solve a math problem.
Some more clues for math sleuths…
Always try something.
Never try nothing.
Show your work and hand it in. Even if you don’t make it the whole way, you may have come close.

Download file
taken from: www.share.net

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