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## A Mathematics Lesson Starter Of The Day

• Transum,
•
• What strategy could you use to solve a puzzle like this? I began by calculating the sum of the digits one to nine. I then considered in turn the following three possibilities:

1. The sum of each column is less than ten which means there is no ‘carry’;
2. There is one carry (either from the units to the tens or the tens to the hundreds column);
3. There are two carries (both from the units to the tens and the tens to the hundreds column).

The rest of the strategy and all 336 different solutions are given in the answer section below for subscribers.
• Alexa,
•
• I got it!
When I got the answer right it gave me a confetti party with music on the screen!
Thank you!

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

Previous Day | This starter is for 3 August | Next Day

 124 + 659 = 783125 + 739 = 864127 + 359 = 486127 + 368 = 495128 + 367 = 495128 + 439 = 567129 + 357 = 486129 + 438 = 567129 + 654 = 783129 + 735 = 864134 + 658 = 792135 + 729 = 864138 + 429 = 567138 + 654 = 792139 + 428 = 567139 + 725 = 864142 + 596 = 738142 + 695 = 837143 + 586 = 729145 + 692 = 837146 + 583 = 729146 + 592 = 738152 + 487 = 639152 + 784 = 936154 + 629 = 783154 + 638 = 792154 + 782 = 936157 + 329 = 486157 + 482 = 639158 + 634 = 792159 + 327 = 486159 + 624 = 783162 + 387 = 549162 + 783 = 945163 + 782 = 945167 + 328 = 495167 + 382 = 549168 + 327 = 495173 + 286 = 459173 + 295 = 468175 + 293 = 468176 + 283 = 459182 + 367 = 549182 + 394 = 576182 + 457 = 639182 + 493 = 675182 + 754 = 936182 + 763 = 945183 + 276 = 459183 + 492 = 675183 + 546 = 729183 + 762 = 945184 + 392 = 576184 + 752 = 936186 + 273 = 459186 + 543 = 729 187 + 362 = 549187 + 452 = 639192 + 384 = 576192 + 483 = 675192 + 546 = 738192 + 645 = 837193 + 275 = 468193 + 482 = 675194 + 382 = 576195 + 273 = 468195 + 642 = 837196 + 542 = 738214 + 569 = 783214 + 659 = 873215 + 478 = 693215 + 748 = 963216 + 378 = 594216 + 738 = 954218 + 349 = 567218 + 376 = 594218 + 439 = 657218 + 475 = 693218 + 736 = 954218 + 745 = 963219 + 348 = 567219 + 438 = 657219 + 564 = 783219 + 654 = 873234 + 657 = 891235 + 746 = 981236 + 718 = 954236 + 745 = 981237 + 654 = 891238 + 419 = 657238 + 716 = 954239 + 418 = 657241 + 596 = 837243 + 576 = 819243 + 675 = 918245 + 673 = 918245 + 718 = 963245 + 736 = 981246 + 573 = 819246 + 591 = 837246 + 735 = 981248 + 319 = 567248 + 715 = 963249 + 318 = 567251 + 397 = 648254 + 619 = 873254 + 637 = 891257 + 391 = 648257 + 634 = 891259 + 614 = 873264 + 519 = 783269 + 514 = 783 271 + 593 = 864271 + 683 = 954273 + 186 = 459273 + 195 = 468273 + 546 = 819273 + 591 = 864273 + 645 = 918273 + 681 = 954275 + 193 = 468275 + 418 = 693275 + 643 = 918276 + 183 = 459276 + 318 = 594276 + 543 = 819278 + 316 = 594278 + 415 = 693281 + 394 = 675281 + 673 = 954283 + 176 = 459283 + 671 = 954284 + 391 = 675286 + 173 = 459291 + 357 = 648291 + 384 = 675291 + 546 = 837291 + 573 = 864293 + 175 = 468293 + 571 = 864294 + 381 = 675295 + 173 = 468296 + 541 = 837297 + 351 = 648314 + 658 = 972316 + 278 = 594317 + 529 = 846317 + 628 = 945318 + 249 = 567318 + 276 = 594318 + 627 = 945318 + 654 = 972319 + 248 = 567319 + 527 = 846324 + 567 = 891324 + 657 = 981327 + 159 = 486327 + 168 = 495327 + 519 = 846327 + 564 = 891327 + 618 = 945327 + 654 = 981328 + 167 = 495328 + 617 = 945329 + 157 = 486329 + 517 = 846341 + 586 = 927342 + 576 = 918 346 + 572 = 918346 + 581 = 927348 + 219 = 567349 + 218 = 567351 + 297 = 648352 + 467 = 819354 + 618 = 972354 + 627 = 981357 + 129 = 486357 + 291 = 648357 + 462 = 819357 + 624 = 981358 + 614 = 972359 + 127 = 486362 + 187 = 549362 + 457 = 819364 + 527 = 891367 + 128 = 495367 + 182 = 549367 + 452 = 819367 + 524 = 891368 + 127 = 495372 + 546 = 918376 + 218 = 594376 + 542 = 918378 + 216 = 594381 + 294 = 675381 + 546 = 927382 + 167 = 549382 + 194 = 576384 + 192 = 576384 + 291 = 675386 + 541 = 927387 + 162 = 549391 + 257 = 648391 + 284 = 675392 + 184 = 576394 + 182 = 576394 + 281 = 675397 + 251 = 648415 + 278 = 693418 + 239 = 657418 + 275 = 693419 + 238 = 657428 + 139 = 567429 + 138 = 567438 + 129 = 567438 + 219 = 657439 + 128 = 567439 + 218 = 657452 + 187 = 639452 + 367 = 819457 + 182 = 639457 + 362 = 819462 + 357 = 819467 + 352 = 819 475 + 218 = 693478 + 215 = 693482 + 157 = 639482 + 193 = 675483 + 192 = 675487 + 152 = 639492 + 183 = 675493 + 182 = 675514 + 269 = 783517 + 329 = 846519 + 264 = 783519 + 327 = 846524 + 367 = 891527 + 319 = 846527 + 364 = 891529 + 317 = 846541 + 296 = 837541 + 386 = 927542 + 196 = 738542 + 376 = 918543 + 186 = 729543 + 276 = 819546 + 183 = 729546 + 192 = 738546 + 273 = 819546 + 291 = 837546 + 372 = 918546 + 381 = 927564 + 219 = 783564 + 327 = 891567 + 324 = 891569 + 214 = 783571 + 293 = 864572 + 346 = 918573 + 246 = 819573 + 291 = 864576 + 243 = 819576 + 342 = 918581 + 346 = 927583 + 146 = 729586 + 143 = 729586 + 341 = 927591 + 246 = 837591 + 273 = 864592 + 146 = 738593 + 271 = 864596 + 142 = 738596 + 241 = 837614 + 259 = 873614 + 358 = 972617 + 328 = 945618 + 327 = 945618 + 354 = 972619 + 254 = 873624 + 159 = 783624 + 357 = 981 627 + 318 = 945627 + 354 = 981628 + 317 = 945629 + 154 = 783634 + 158 = 792634 + 257 = 891637 + 254 = 891638 + 154 = 792642 + 195 = 837643 + 275 = 918645 + 192 = 837645 + 273 = 918654 + 129 = 783654 + 138 = 792654 + 219 = 873654 + 237 = 891654 + 318 = 972654 + 327 = 981657 + 234 = 891657 + 324 = 981658 + 134 = 792658 + 314 = 972659 + 124 = 783659 + 214 = 873671 + 283 = 954673 + 245 = 918673 + 281 = 954675 + 243 = 918681 + 273 = 954683 + 271 = 954692 + 145 = 837695 + 142 = 837715 + 248 = 963716 + 238 = 954718 + 236 = 954718 + 245 = 963725 + 139 = 864729 + 135 = 864735 + 129 = 864735 + 246 = 981736 + 218 = 954736 + 245 = 981738 + 216 = 954739 + 125 = 864745 + 218 = 963745 + 236 = 981746 + 235 = 981748 + 215 = 963752 + 184 = 936754 + 182 = 936762 + 183 = 945763 + 182 = 945782 + 154 = 936782 + 163 = 945783 + 162 = 945784 + 152 = 936

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## Maths T-Shirts

Here is the URL which will take them to an interactive pupil version of this puzzle.

Transum.org/go/?to=ninedigits

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For All: