11 of 11 Items .... Type: Create a Problem

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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My employer has nine workers. The nine of us want to determine what our average salary is, but none of us wants to divulge his own salary. Can we find the average without doing so?


.: [STATS], [Futility Closet], [Create a Problem].

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Can you create a set of data (more than 12 numbers, please) with a mean of 17 and a median of -17 and a mode of 0?


.: [STATS], [internet], [Create a Problem].

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Can you create a data set of more than 5 numbers so that when you add one additional number to the set, you can raise the median but not the mean?


.: [STATS], [internet], [Create a Problem].

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A series of identical blocks.




A series of identical rectangular blocks is stacked out at their
balancing points from the top down. You can show with a simple center of mass calculation the total "stick-out" distance; that is, the horizontal distance from the back of the bottom block to the back of the top block is
\( \dfrac{1}{2}(1 + \dfrac{1}{2} +\dfrac{1}{3} +\dfrac{1}{4} + ... ) \)


.: [PHYSICS], [Frank Noschese], [Create a Problem].

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What question do you want your neighbor to answer here?




.: [GEOM], [SolveMyMaths], [Create a Problem].

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We all know it's possible to multiply two radicals together and get an integer result.

\( (\sqrt{7}) * (\sqrt{7}) = 7\) is one possibility.

Is it possible to ADD two or more radicals and get a rational result?


.: [ALG1], [T.R.Milne], [Create a Problem].

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Is this thing rational?




Can you come up with some more that LOOK as if they're impossible to solve by hand, but really aren't?


.: [MS Math], [T.R.Milne], [Create a Problem].

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What questions does this image bring up?

What part of the dinosaur is that?

How big was it?

What measurement system are we using?


.: [ALL], [T.R.Milne], [Create a Problem].

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Looking at quartiles and interquartile range with year 9. I was thinking about what statements could be true.
— Miss Konstantine


.: [STATS], [internet], [Create a Problem].

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Imagine a sphere the size of the earth, made of iron, say, and solid except for a small hollow capsule at its centre - where you live.
Would you be weightless?


.: [PHYSICS], [T.R.Milne], [Create a Problem].

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Rate problems can be tedious. "If Train A leaves from its station at 9am and travels 45 mph ..."

Shakespeare can help!

Rewrite your rate problem in the style of the Bard and watch your engagement metrics soar.



.: [ALG1], [T.R.Milne], [Create a Problem].
that's it.