Subscriber nudge+ 15,325 Posted May 3, 2022 Subscriber Share Posted May 3, 2022 A place for random puzzles and interesting math problems. Let's go. Link to comment Share on other sites More sharing options...
Subscriber RandoEFC+ 7,662 Posted May 3, 2022 Subscriber Share Posted May 3, 2022 Thanks for doing my lesson plans for me . The first diagram shows that Table + Cat - Turtle = 170cm. The second diagram shows that Table + Turtle - Cat - 130cm. Adding these together, Table + Cat - Turtle + Table + Turtle - Cat = 170 + 130. Simplifying, that becomes 2 x Table = 300cm. So the table's height is 150cm. Got any harder ones? Link to comment Share on other sites More sharing options...
Subscriber CaaC (John)+ 5,360 Posted May 3, 2022 Subscriber Share Posted May 3, 2022 4 minutes ago, RandoEFC said: Thanks for doing my lesson plans for me . Reveal hidden contents The first diagram shows that Table + Cat - Turtle = 170cm. The second diagram shows that Table + Turtle - Cat - 130cm. Adding these together, Table + Cat - Turtle + Table + Turtle - Cat = 170 + 130. Simplifying, that becomes 2 x Table = 300cm. So the table's height is 150cm. Got any harder ones? Link to comment Share on other sites More sharing options...
Subscriber nudge+ 15,325 Posted May 3, 2022 Author Subscriber Share Posted May 3, 2022 5 minutes ago, RandoEFC said: Thanks for doing my lesson plans for me . Hide contents The first diagram shows that Table + Cat - Turtle = 170cm. The second diagram shows that Table + Turtle - Cat - 130cm. Adding these together, Table + Cat - Turtle + Table + Turtle - Cat = 170 + 130. Simplifying, that becomes 2 x Table = 300cm. So the table's height is 150cm. Got any harder ones? It's kinda not intended for math teachers, obviously Link to comment Share on other sites More sharing options...
Subscriber CaaC (John)+ 5,360 Posted May 3, 2022 Subscriber Share Posted May 3, 2022 26 minutes ago, nudge said: A place for random puzzles and interesting math problems. Let's go. On the bevvy last night so I will pass Link to comment Share on other sites More sharing options...
Subscriber nudge+ 15,325 Posted May 3, 2022 Author Subscriber Share Posted May 3, 2022 Ok, next one then... Link to comment Share on other sites More sharing options...
Subscriber RandoEFC+ 7,662 Posted May 3, 2022 Subscriber Share Posted May 3, 2022 56 minutes ago, nudge said: Ok, next one then... I have 45 square units but I've used Pythagoras' Theorem and similar triangles to work out the length so I'm thinking there's a more accessible method that I've missed. Link to comment Share on other sites More sharing options...
DeadLinesman 5,938 Posted May 3, 2022 Share Posted May 3, 2022 1 hour ago, nudge said: Ok, next one then... Think Rando is correct. The addition of the 1.5 is confusing as you don’t even need it. Link to comment Share on other sites More sharing options...
Bluewolf 7,161 Posted May 3, 2022 Share Posted May 3, 2022 39 minutes ago, DeadLinesman said: Think Rando is correct. The addition of the 1.5 is confusing as you don’t even need it. Agreed it's a bit of a Red Herring, you only need to use box 1,2,3 for the calculation Link to comment Share on other sites More sharing options...
Subscriber nudge+ 15,325 Posted May 3, 2022 Author Subscriber Share Posted May 3, 2022 1 hour ago, RandoEFC said: Hide contents I have 45 square units but I've used Pythagoras' Theorem and similar triangles to work out the length so I'm thinking there's a more accessible method that I've missed. I think it's actually the most accessible method to solve it Link to comment Share on other sites More sharing options...
Subscriber nudge+ 15,325 Posted May 3, 2022 Author Subscriber Share Posted May 3, 2022 Alright, let's do a simple physics puzzle next. What mass does the blue block have to be to balance the lever? Link to comment Share on other sites More sharing options...
Moderator Tommy 12,615 Posted May 3, 2022 Moderator Share Posted May 3, 2022 Thanks, I hate it. Link to comment Share on other sites More sharing options...
Subscriber nudge+ 15,325 Posted May 5, 2022 Author Subscriber Share Posted May 5, 2022 Ok, something more interesting then Find the pattern and the missing number: Link to comment Share on other sites More sharing options...
Administrator Stan 18,383 Posted May 5, 2022 Administrator Share Posted May 5, 2022 47 minutes ago, nudge said: Ok, something more interesting then Find the pattern and the missing number: 15. Link to comment Share on other sites More sharing options...
Subscriber nudge+ 15,325 Posted May 5, 2022 Author Subscriber Share Posted May 5, 2022 31 minutes ago, Stan said: 15. Nope. What's the pattern? Link to comment Share on other sites More sharing options...
Subscriber RandoEFC+ 7,662 Posted May 5, 2022 Subscriber Share Posted May 5, 2022 It's 12 as each number on the receiving end of two arrows is the sum of the four digits making up the two numbers that are "pointing at it". E.g. 7+2+9+9 = 27 for the top one. Link to comment Share on other sites More sharing options...
Subscriber RandoEFC+ 7,662 Posted May 5, 2022 Subscriber Share Posted May 5, 2022 On 03/05/2022 at 16:29, nudge said: Alright, let's do a simple physics puzzle next. What mass does the blue block have to be to balance the lever? Also as nobody else did this one. Using moments about the pivot in the middle, the clockwise moment is 10x5 = 50, so the anticlockwise moment had to be equal to 50 also. 2x? = 50 so ? is 25kg. I've left out g (9.81) for simplicity in case anyone wants to pick me up on that. Link to comment Share on other sites More sharing options...
Subscriber nudge+ 15,325 Posted May 5, 2022 Author Subscriber Share Posted May 5, 2022 2 minutes ago, RandoEFC said: It's Hide contents 12 as each number on the receiving end of two arrows is the sum of the four digits making up the two numbers that are "pointing at it". E.g. 7+2+9+9 = 27 for the top one. Correct! Link to comment Share on other sites More sharing options...
Administrator Stan 18,383 Posted May 5, 2022 Administrator Share Posted May 5, 2022 15 minutes ago, nudge said: Nope. What's the pattern? 10 minutes ago, RandoEFC said: It's Hide contents 12 as each number on the receiving end of two arrows is the sum of the four digits making up the two numbers that are "pointing at it". E.g. 7+2+9+9 = 27 for the top one. Pfft. My answer still works. Link to comment Share on other sites More sharing options...
Subscriber nudge+ 15,325 Posted May 5, 2022 Author Subscriber Share Posted May 5, 2022 2 minutes ago, Stan said: Pfft. My answer still works. I'm confused Link to comment Share on other sites More sharing options...
Administrator Stan 18,383 Posted May 5, 2022 Administrator Share Posted May 5, 2022 5 hours ago, nudge said: I'm confused The number the arrows point to is the difference between the numbers the arrows come from. 27 is the difference between 72 and 99. 18 difference between 27 and 45. ... 15 difference between 21 and 36. 13 difference between 15 and 28. But the key thing is to ignore the last bottom set! Link to comment Share on other sites More sharing options...
Toinho 2,210 Posted May 6, 2022 Share Posted May 6, 2022 I used to be great at maths in high school, did very well, but have realised that was a very long time ago and probably as good as my brain got. Fortunately year 3 maths isn't too difficult for me. Link to comment Share on other sites More sharing options...
Toinho 2,210 Posted May 6, 2022 Share Posted May 6, 2022 2 hours ago, Stan said: The number the arrows point to is the difference between the numbers the arrows come from. 27 is the difference between 72 and 99. 18 difference between 27 and 45. ... 15 difference between 21 and 36. 13 difference between 15 and 28. But the key thing is to ignore the last bottom set! Yeah they meant to write 8 instead of 7 for that last one. Typo. Link to comment Share on other sites More sharing options...
Toinho 2,210 Posted May 6, 2022 Share Posted May 6, 2022 10 hours ago, nudge said: Ok, something more interesting then Find the pattern and the missing number: Spoiler Is it 12? Add the two digits together in both the numbers above to get the number below. I.e 21 (2 +1) and 36 (3+6) So 3 + 9 = 12? Link to comment Share on other sites More sharing options...
Subscriber nudge+ 15,325 Posted May 6, 2022 Author Subscriber Share Posted May 6, 2022 6 hours ago, Toinho said: Hide contents Is it 12? Add the two digits together in both the numbers above to get the number below. I.e 21 (2 +1) and 36 (3+6) So 3 + 9 = 12? Correct! Link to comment Share on other sites More sharing options...
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