Durtles
@makeaproblem.bsky.social
Math book author and problem collector.
Books: https://dandelioneducation.ca/books/
YouTube: https://www.youtube.com/@MakeaProblem
Books: https://dandelioneducation.ca/books/
YouTube: https://www.youtube.com/@MakeaProblem
f). How many different arrangements of the name cards for n people (where n is odd) are there that have this property?
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
September 20, 2025 at 3:15 PM
f). How many different arrangements of the name cards for n people (where n is odd) are there that have this property?
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
e). Prove or disprove that no arrangement of name cards work for even numbers of people.
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#math #maths #ProblemSolving #iteachmath #mathsky
September 19, 2025 at 3:15 PM
e). Prove or disprove that no arrangement of name cards work for even numbers of people.
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#math #maths #ProblemSolving #iteachmath #mathsky
d). Prove that the reverse order arrangement of name cards always work for odd numbers of people.
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#math #maths #ProblemSolving #iteachmath #mathsky
September 18, 2025 at 3:15 PM
d). Prove that the reverse order arrangement of name cards always work for odd numbers of people.
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#math #maths #ProblemSolving #iteachmath #mathsky
c). How many different arrangements of the name cards for 4 people are there that have this property? 6 people? 7 people?
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#math #maths #ProblemSolving #iteachmath #mathsky
September 17, 2025 at 3:15 PM
c). How many different arrangements of the name cards for 4 people are there that have this property? 6 people? 7 people?
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#math #maths #ProblemSolving #iteachmath #mathsky
b). How many different arrangements of the name cards for 5 people are there that have this property?
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#math #maths #ProblemSolving #iteachmath #mathsky
September 16, 2025 at 3:15 PM
b). How many different arrangements of the name cards for 5 people are there that have this property?
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
Happy Monday! This problem is inspired by the 1975 CMO Q6ii
Here are 5 people at a meeting. Notice if we place their name cards in reverse order, no matter how we turn the table, only one person will have the right name card at any time.
a). Find a different arrangement for 5 people like this.
Here are 5 people at a meeting. Notice if we place their name cards in reverse order, no matter how we turn the table, only one person will have the right name card at any time.
a). Find a different arrangement for 5 people like this.
September 15, 2025 at 3:15 PM
Happy Monday! This problem is inspired by the 1975 CMO Q6ii
Here are 5 people at a meeting. Notice if we place their name cards in reverse order, no matter how we turn the table, only one person will have the right name card at any time.
a). Find a different arrangement for 5 people like this.
Here are 5 people at a meeting. Notice if we place their name cards in reverse order, no matter how we turn the table, only one person will have the right name card at any time.
a). Find a different arrangement for 5 people like this.
f). How many different arrangements of mismatching all name cards are there for n people around the table? (rotating the table counts as the same arrangement)
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
September 13, 2025 at 3:15 PM
f). How many different arrangements of mismatching all name cards are there for n people around the table? (rotating the table counts as the same arrangement)
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
e). How many different arrangements of mismatching all name cards are there for 5 people around the table? (rotating the table counts as the same arrangement)
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
September 12, 2025 at 3:15 PM
e). How many different arrangements of mismatching all name cards are there for 5 people around the table? (rotating the table counts as the same arrangement)
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
d). How many different arrangements of mismatching all name cards are there for 4 people around the table? (rotating the table counts as the same arrangement)
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
September 11, 2025 at 3:15 PM
d). How many different arrangements of mismatching all name cards are there for 4 people around the table? (rotating the table counts as the same arrangement)
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
c). For which numbers of people is it always possible to rotate the table such that at least 2 people have the right name cards if they all start out mismatched?
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#math #maths #ProblemSolving #iteachmath #mathsky
September 10, 2025 at 3:15 PM
c). For which numbers of people is it always possible to rotate the table such that at least 2 people have the right name cards if they all start out mismatched?
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
b). With 5 people at the meeting, sketch a way to place the name cards such that they’re all mismatched. Can you always rotate the table such that at least 2 people have the right name cards?
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#math #maths #ProblemSolving #iteachmath #mathsky
September 9, 2025 at 3:15 PM
b). With 5 people at the meeting, sketch a way to place the name cards such that they’re all mismatched. Can you always rotate the table such that at least 2 people have the right name cards?
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
Happy Monday! This week's problem's inspired by the 1975 CMO Q6i.
a). 4 people (ABCD) are at a table for a meeting. Sketch a way to place the name cards (abcd) such that they’re all mismatched. Then rotate the table such that at least 2 people have the right name cards. Is this always possible?
a). 4 people (ABCD) are at a table for a meeting. Sketch a way to place the name cards (abcd) such that they’re all mismatched. Then rotate the table such that at least 2 people have the right name cards. Is this always possible?
September 8, 2025 at 3:15 PM
Happy Monday! This week's problem's inspired by the 1975 CMO Q6i.
a). 4 people (ABCD) are at a table for a meeting. Sketch a way to place the name cards (abcd) such that they’re all mismatched. Then rotate the table such that at least 2 people have the right name cards. Is this always possible?
a). 4 people (ABCD) are at a table for a meeting. Sketch a way to place the name cards (abcd) such that they’re all mismatched. Then rotate the table such that at least 2 people have the right name cards. Is this always possible?
September 6, 2025 at 3:15 PM
September 5, 2025 at 3:15 PM
September 4, 2025 at 3:15 PM
September 3, 2025 at 3:15 PM
September 2, 2025 at 3:15 PM
Happy Labour Day! This week's problem is inspired by the 1975 CMO Q5.
a). Find θ.
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a). Find θ.
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September 1, 2025 at 3:15 PM
Happy Labour Day! This week's problem is inspired by the 1975 CMO Q5.
a). Find θ.
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a). Find θ.
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f). Prove that for a Jumping Tiles puzzle in an mxn grid to be solvable, the sum of its numbers must be even.
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#math #maths #ProblemSolving #iteachmath #mathsky
July 19, 2025 at 3:15 PM
f). Prove that for a Jumping Tiles puzzle in an mxn grid to be solvable, the sum of its numbers must be even.
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
e). Given an mxn grid, how do we tell if a Jumping Tiles puzzle has a solution that includes all tiles in a cycle?
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#math #maths #ProblemSolving #iteachmath #mathsky
July 18, 2025 at 3:15 PM
e). Given an mxn grid, how do we tell if a Jumping Tiles puzzle has a solution that includes all tiles in a cycle?
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
d). Given an mxn grid, how many Jumping Tiles puzzles have a solution that includes all tiles in a cycle?
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#math #maths #ProblemSolving #iteachmath #mathsky
July 17, 2025 at 3:15 PM
d). Given an mxn grid, how many Jumping Tiles puzzles have a solution that includes all tiles in a cycle?
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
c). Given an mxn grid, how do we find the Jumping Tiles puzzle(s) with the biggest number of solutions?
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#math #maths #ProblemSolving #iteachmath #mathsky
July 16, 2025 at 3:15 PM
c). Given an mxn grid, how do we find the Jumping Tiles puzzle(s) with the biggest number of solutions?
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
b). Given a 2x3 grid, here’s a Jumping Tiles puzzle with 2 solutions. What’s the biggest number of solutions a puzzle in this grid can have?
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#math #maths #ProblemSolving #iteachmath #mathsky
July 15, 2025 at 3:15 PM
b). Given a 2x3 grid, here’s a Jumping Tiles puzzle with 2 solutions. What’s the biggest number of solutions a puzzle in this grid can have?
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky
Happy Monday! This problem is inspired by this X post.
buff.ly/oa3jUjI
Each number indicates the distance this tile needs to move. A solution rearranges all the tiles in the grid that satisfies all the numbers without overlap.
a). In a 2x2 grid, how many puzzles are there that have solutions?
#math
buff.ly/oa3jUjI
Each number indicates the distance this tile needs to move. A solution rearranges all the tiles in the grid that satisfies all the numbers without overlap.
a). In a 2x2 grid, how many puzzles are there that have solutions?
#math
July 14, 2025 at 3:15 PM
Happy Monday! This problem is inspired by this X post.
buff.ly/oa3jUjI
Each number indicates the distance this tile needs to move. A solution rearranges all the tiles in the grid that satisfies all the numbers without overlap.
a). In a 2x2 grid, how many puzzles are there that have solutions?
#math
buff.ly/oa3jUjI
Each number indicates the distance this tile needs to move. A solution rearranges all the tiles in the grid that satisfies all the numbers without overlap.
a). In a 2x2 grid, how many puzzles are there that have solutions?
#math
f). Give a geometric (non-algebraic) proof for why the midpoints would always trace an ellipse.
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#math #maths #ProblemSolving #iteachmath #mathsky
July 12, 2025 at 3:15 PM
f). Give a geometric (non-algebraic) proof for why the midpoints would always trace an ellipse.
#math #maths #ProblemSolving #iteachmath #mathsky
#math #maths #ProblemSolving #iteachmath #mathsky