Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [problem-solving]

Use this tag when you want to determine the thinking that is needed to solve a certain type of problem, as opposed to looking for a specific answer to a question.

Use this tag when you want to determine the thinking that is needed to solve a certain type of problem, as opposed to looking for a specific answer to a question.

4495 questions
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Question involving square equality between fractions and square roots

Find the values of the constants $p$ and $q$ such that $$\frac{\sqrt{p}}{\sqrt{p}+2p} = \frac{2\sqrt{p}-q}{3p+q} \tag{$p,q\ge0$}$$ How would you solve this? I've tried everything...
user134785
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Word problem with $p$

In the year 2000, there are $p$ penguins. After $t$ years, the number of penguins is given by $$ 2500 \times 1.02^t$$ Calculate the number of penguins in the year $2000$. I tried to substitute random values for $t$ to get a general pattern but I…
Aspiring Mathlete
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Soccer Team- Venn Diagram

If I could get help with this problem, it would be greatly appreciated. I have been trying using Venn diagram, but can't seem to understand it with four circles. On a soccer team there are four positions: goalie, back, midfielder, and forward. Each…
Samantha
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Bottles are either packed in boxes of 6 OR 12.The number of small boxes at least the half number of big boxes.If 240 bottles need to be packed,…

Bottles are either packed in boxes of 6 OR 12. The number of small boxes must atleast be half the number of big boxes. If 240 bottles need to be packed, what's the minimum mumber of boxes needed? This question seemed really simple to me. I thought…
Aspiring Mathlete
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Problem solving involving time

You have from 10 pm to 11:30 pm to do a project. At 10:34 what fraction of the project remains? I keep getting stuck and I don't know why. There is an hour and a half to do the project and at 10:34 I know there are 56 minutes left to complete the…
user140484
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Quick Bounds Question [ Sets]

1) Let $S =\{(−1)^n\; \mid\; n \in \mathbb{Z}\}$ . What is the greatest lower bound of $S$? -1 is the Lower bound. But is it also the greatest lower bound? Or does it not exist? Thanks. And also 2) Let $S = \{p^2\; \mid\; p \in \mathbb{N}\;…
John
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Finding the Reading Rate

Part 1: If you read 15 minutes per day every day and end up reading 12 books of 200 pages each in 1 year, what is your reading rate in pages per minute? Part 2: If you increase your reading speed so that each page takes you 30 seconds less than it…
Samantha
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Sliding Question

At the local playground, three boys like to go down the a very wide slide. After going down the slide, they turn around and climb back up the slide rather than walking around to climb the ladder. The slide is so wide that they can all slide and…
Samantha
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Math Question on Guess and Check strategy

We always liked poking around Grandpa's attic whenever we had a family reunion. We found all sorts of neat stuff up there. Once we found a bunch of baseball cards, so Grandpa said, "Just divide 'em up among all the grandchildren." There were 5040…
Samantha
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Mod Problem solving

I can't do this last question of my homework that's due in tomorrow. Can anyone hint me on what to do? Suppose $p$ is prime and $k$ is a positive integer Show that if $p$ is odd and $x$ is an integer such that $x^2\equiv 1\mod p^k$ , then $x\equiv…
John
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Playing Detective

Four suspects were assembled in the director's office, having been accused of a devious crime: turning off the light switch during Mr. Buehler's business presentation. It was known that only one of the four turned off the switch. All four were…
Samantha
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How many smallest number moves need to measure 6 liter of water?

You are given two (unmarked) containers of capacity 9 liter and 4 liter and a huge tank of water. Need is to get measure of exactly 6 liter, of water. A move is either filling a container completely or emptying a container (either fully or partly).…
Android developer
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Linking 5 communities by plane, train, and bus

Every pair of communities in a country is linked directly by exactly one mode of transportation: bus, train or airplane. All three modes of transportation are used in the country; no community is served by all three modes, and no three communities…
user115697
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Problem Solving

Here the question on my daughter's 4th grade homework assignment: Sarah is decorating a mosaic board it is 12 inches wide and 16 inches long. Sarah is using square tiles all the same size. What size tiles should Sarah use?
John
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Problem solving question with average

Johnny had to take a test a day late. His 96 raised the class average from 71 to 72. How many students, including Johnny, took the test? I tried to do trial and error to see how many students there were but I couldn't figure it out.
Ella
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