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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HOW can I list all the possibilities?

Removing one coin from each of the triangles — more specifically, one a, one b, and one c — forms a pattern (like the example shown). Every possibility is listed below (ignore the circles and squares around some of them). How can you…
Pier
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A problem solving strategy that appears to work, but doesn't?

I'm teaching problem solving to my students and I'm looking for a problem at the high school level to demonstrate a problem-solving technique that appears as though it might work, but doesn't. I want to be able to show my students that a strategy…
luvteachingmath
  • 63
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How to find the centre of mass of the following object?

I'm trying to find the centre of mass of a $120°$ sector that doesn't intersect the center isosceles triangle (the intersection being $Ac$). E.g. the center of mass for the sum of the areas $2(A7 + B3)$ or expanded out $2(A1+A2+A3+B1+B2)$ (note…
Adrian
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What is the formula for me to get a value at a certain point?

I have a two linear points : 400 and 1000. At 400, the value is 150. But for 1000, I want the value to be 100. So in 600 steps (1000-400), the value has to go down by 50(150-100). I'm not really sure where I should go from here and what to do with…
Jake
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how to solve a non homogenous difference equation

I'm trying to set up a guide I can use on my exams, for how to solve a non homogenous difference equation. Problem is my book doesn't really show how to do it. Theres just one example and it says we "set" the value for A and B without explaining…
mangekyou
  • 25
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Rearranging the Diode Equation

I'm trying to write a programme that draws an IV curve for a diode, using an expanded version of the Shockley diode equation that uses extra variables, but now the 'I' term appears on both sides of the equation and I can't work out how to rearrange…
Paul Nodwell
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How to approach this algebraic problem

I have no idea how to approach this problem apart from expanding the whole thing out which creates more mess. And I am sure there is a easy trick. I think it is because I lack experience on such problems to spot the pattern.
nabu1227
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Utilizing AM $\ge$ GM in third, less obvious question

In both $1st$ and $2nd$ question, I found it easy to spot where I can use the AM$\ge$GM theorem because the values are written so that it can easily be written in the form $(A+B)^2$. However, in the $3rd$ question, I cannot find a method to combine…
nabu1227
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Calculate Profit/Loss from trading order

Part 1: Formula to calculate Stop Loss based on account variables In part 1 I had trouble trying to get the formula correct to set a StopLoss at the right point. after weeks, I finally got it. $$x = e-(p/L\times 0.01)\times e).$$ Now I have another…
Keven Scharaswak
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Story Problem: Algebra

A teacher gave a test, and most of his students did poorly. The teacher decided to let the students correct the questions they got wrong for 70% credit. One student corrected 80% and received a final score of 85%. What was this students initial…
Kris
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Equation for simple transform

I have an ordinal list that I am trying to represent mathematically. The list is as follows: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 10000, 20000, 30000,…
slotishtype
  • 101
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Problem solving Q about number of houses in a street.

A row is marked with 1,2,3,4.... The marking continues down the other side - the largest mark opposite is 1. Each mark has another directly opposite it. If mark 17 is opposite number 56, how many marks are there in the row?
Problem solving
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How to solve $x+\sqrt{1+x^2}=3\sqrt{3}$ for $x$?

How do I solve the following equation for x: $x+\sqrt{1+x^2}=3\sqrt{3}$ I'm failing miserably in isolating the $x$
thatOldITGuy
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Calculate the running and walking distance depending on speed and hours

So here's my problem I'm having: Say someone runs or walks 40 kilometers in a day in 8 hours. We don't know how many kilometers in specific the person was walking or running, though that's what we'd like to know. We do know the persons average…
Stephan Wagner
  • 115
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A simple but painful calculation.

$$S=(x_3-x_1)^2+(x_4-x_2)^2+(x_5-x_3)^2+(x_1-x_4)^2+(x_2-x_5)^2$$. $$S'=(x_3-x_1)^2+(x_4+x_2)^2+(x_5-x_2-x_3)^2+(x_1+x_2-x_4)^2+(-x_2-x_5)^2$$ Find $S$–$S'$? I thought that, I should manipulate the above equations on my own but I got stuck, How can…
user676047
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