Letter Wheel Based on Cognitive Therapy weekly puzzle

Letter Wheel Based on Cognitive Therapy weekly puzzle in Saturday Telegraph

J G I K Letter Wheel SIC_39 H 480 mm L F 250 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 107 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 200 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 69 complete revolutions in the direction shown

Letter Wheel Consider the simplest scenario of just two wheels.

Letter Wheel Consider the simplest scenario of just two wheels.

Letter Wheel Consider the simplest scenario of just two wheels.

Letter Wheel The first thing to note is that with five wheels (i. e. an odd number) the last wheel turns in the same direction as the first.

Letter Wheel

SIC_39 I J G H L F K Letter Wheel 480 mm N D E M O C P A B 130 mm This wheel makes 69 complete revolutions in the direction shown

Note to Teacher • If you are conversant with Scratch you can show a few other things. • For example, changing the diameter of the 3 rd wheel to be the same as the first (set dia 3=130 in the scripts for the “reset” sprite button) and then dragging the wheel so that it touches its neighbours should be done so that the pupils think everything is connected, although it really isn’t. This shows that the two wheels will always have the same orientation – use the pause button.

RESOURCES

J G I K Letter Wheel SIC_39 H 480 mm L F 250 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 105 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 206 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 195 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 250 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 108 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 209 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 150 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 249 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 108 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 211 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 198 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 250 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 111 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 209 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 153 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 253 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 111 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 218 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 201 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 252 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 114 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 219 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 156 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 262 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 114 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 215 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 204 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 245 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 101 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 209 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 159 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 245 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 101 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 207 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 111 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 250 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 104 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 213 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 210 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 261 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 107 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 215 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 165 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 243 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 110 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 224 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 168 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 253 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 110 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 234 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 120 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 259 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 113 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 211 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 123 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 263 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 116 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 209 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 174 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 239 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 103 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 219 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 177 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 245 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 103 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 231 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 225 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 247 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 106 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 229 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 276 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 257 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 106 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 225 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 324 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 250 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 109 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 211 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 231 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 251 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 112 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 201 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 234 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 261 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 112 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 211 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 282 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 253 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 115 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 209 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 237 complete revolutions in the direction shown

J G I K Letter Wheel SIC_39 H 480 mm L F 256 mm N D E M These wheels are all in perfect, non-slip contact with their neighbours and are driven by the first wheel (with its direction of spin shown). C O P A B 115 mm The lengths refer to the diameter of each wheel. (Diagram not to scale) 239 mm 130 mm When the wheels finally come to rest which letter will be in this position? This wheel makes 285 complete revolutions in the direction shown