11 of 11 Items .... Source: Don Steward

3
How much of the description is necessary in order to find the solution?

"If an equilateral triangle and three isosceles triangles together make a rhombus, what must the angles in the rhombus be?"

Do we really need to know that it's a rhombus?

Could we just be told it's a parallelogram?

.: [GEOM], [Don Steward], [What Questions].

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Based on a couple of posts I made a while back, Don Steward made these:

.: [ALG1], [Don Steward], [Smart Substitution].

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"This resource follows a fine series of posts on MathArguments 'which values of x do we choose?' (number 330)

.: [ALG1], [Don Steward], [Smart Substitution].

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.: [MS Math], [Don Steward], [Number Theory].

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For the last couple of days, I've been asking you to create a new puzzle. Today, I'd like you to describe HOW to create a puzzle with a unique solution, or two solutions, or three. How did Don Steward create these and KNOW that they only had one solution?

.: [ALG2], [Don Steward], [Raw Pure Math].

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Put algebraic expressions into the cells so that the product is as indicated. That's for warm-up.

That's not what I'm going to ask you to do, though ...

Make a new puzzle with two solutions.

.: [ALG2], [Don Steward], [Raw Pure Math].

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Put integers into the cells so that their product is as indicated. But that's not what I'm going to ask you to do, though ...

Make a puzzle with exactly 3 solutions.

.: [MS Math], [Don Steward], [Number Theory].

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Put integers into the cells so that their product is as indicated.

.: [MS Math], [Don Steward], [Raw Pure Math].

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Can you figure out how this works?

.: [ALG1], [Don Steward], [Notice, Wonder].

that's it.