# Close to 1000

Directions: Using the digits 1 to 9 exactly one time each, place a digit in each box to make the sum as close to 1000 as possible.

### Hint

How do you know you can’t get any closer to 1000? What should be true about the hundreds places of your three numbers? How do the tens places affect your answer?

Lots of answers will get you 999. One would be 247 + 563 + 189.
Is exactly 1000 even possible? Here’s a Geogebra tool you can use to check your answer.

Source: John Ulbright and Robert Kaplinsky

## Make The Time

Directions: Using the digits 0 to 9 at most one time each, place a digit …

1. One would be 189+247+563

2. Hi, I’m a 1st time visitor. We are just really getting started recording various levels of DOK questions within our common lessons. I found your site via a Goggle search. However, I have a question. How can I confirm if a question is a DOK 2 or 3? They do not seem to be identified. Are the levels noted somewhere?
Thanks,
Laura

3. 600+300+100=1000

4. John Birnstengel

Devn, that isn’t true. You cannot use 0s.

5. 152+368+479=999

6. Cristopher Funk

583+167+249=999

7. To pique student interest and involvement, I put a leaderboard on the classroom whiteboard. This showed first, second, third and fourth places of who in the class could get closest to 1000. It was great to see so many students taking up the challenge to get first place.

8. By the way, where do I find the DOK that goes with this resource? I’m having trouble finding it on the website.

9. I was wondering if we could extend the problem by adding closest to 1,000 meaning above or below it. It doesn’t specify, but wondered if that would be another option to use?

10. 234+324+401=959

11. 152 + 528 + 329 = 999

12. 250 + 250 + 500 would get 1,000.

13. 169+452+378=999
169+458+372=999
169+472+358=999
169+478+352=999
169+543+287=999
169+547+283=999
169+583+247=999
169+587+243=999
172+358+469=999
172+359+468=999
172+368+459=999
172+369+458=999
172+458+369=999
172+459+368=999
172+468+359=999
172+469+358=999
174+236+589=999
174+239+586=999
174+286+539=999
174+289+536=999
174+536+289=999
174+539+286=999
174+586+239=999
174+589+236=999
175+326+498=999
175+328+496=999
175+396+428=999
175+398+426=999
175+426+398=999
175+428+396=999
175+496+328=999
175+498+326=999
176+234+589=999
176+239+584=999
176+284+539=999
176+289+534=999
176+325+498=999
176+328+495=999
176+395+428=999
176+398+425=999
176+425+398=999
176+428+395=999
176+495+328=999
176+498+325=999
176+534+289=999
176+539+284=999
176+584+239=999
176+589+234=999
178+325+496=999
178+326+495=999
178+352+469=999
178+359+462=999
178+362+459=999
178+369+452=999
178+395+426=999
178+396+425=999
178+425+396=999
178+426+395=999
178+452+369=999
178+459+362=999
178+462+359=999
178+469+352=999
178+495+326=999
178+496+325=999
179+234+586=999
179+236+584=999
179+284+536=999
179+286+534=999
179+352+468=999
179+358+462=999
179+362+458=999
179+368+452=999
179+452+368=999
179+458+362=999
179+462+358=999
179+468+352=999
179+534+286=999
179+536+284=999
179+584+236=999
179+586+234=999
183+247+569=999
183+249+567=999
183+267+549=999
183+269+547=999
183+547+269=999
183+549+267=999
183+567+249=999
183+569+247=999
184+236+579=999
184+239+576=999
184+276+539=999
184+279+536=999
184+536+279=999
184+539+276=999
184+576+239=999
184+579+236=999
186+234+579=999
186+239+574=999
186+274+539=999
186+279+534=999
186+534+279=999
186+539+274=999
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186+579+234=999
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187+249+563=999
187+263+549=999
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187+543+269=999
187+549+263=999
187+563+249=999
187+569+243=999
189+234+576=999
189+236+574=999
189+243+567=999
189+247+563=999
189+263+547=999
189+267+543=999
189+274+536=999
189+276+534=999
189+534+276=999
189+536+274=999
189+543+267=999
189+547+263=999
189+563+247=999
189+567+243=999
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194+268+537=999
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194+538+267=999
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196+325+478=999
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196+425+378=999
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198+237+564=999
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198+267+534=999
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198+326+475=999
198+375+426=999
198+376+425=999
198+425+376=999
198+426+375=999
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198+476+325=999
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198+567+234=999
234+167+598=999
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234+186+579=999
234+189+576=999
234+197+568=999
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234+567+198=999
234+568+197=999
234+576+189=999
234+579+186=999
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234+589+176=999
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236+174+589=999
236+179+584=999
236+184+579=999
236+189+574=999
236+574+189=999
236+579+184=999
236+584+179=999
236+589+174=999
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237+198+564=999
237+564+198=999
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238+164+597=999
238+167+594=999
238+194+567=999
238+197+564=999
238+564+197=999
238+567+194=999
238+594+167=999
238+597+164=999
239+174+586=999
239+176+584=999
239+184+576=999
239+186+574=999
239+574+186=999
239+576+184=999
239+584+176=999
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243+167+589=999
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243+189+567=999
243+567+189=999
243+569+187=999
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247+589+163=999
249+163+587=999
249+167+583=999
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249+563+187=999
249+567+183=999
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264+537+198=999
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267+194+538=999
267+198+534=999
267+534+198=999
267+538+194=999
267+543+189=999
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268+134+597=999
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268+534+197=999
268+537+194=999
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269+143+587=999
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269+187+543=999
269+543+187=999
269+547+183=999
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276+139+584=999
276+184+539=999
276+189+534=999
276+534+189=999
276+539+184=999
276+584+139=999
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279+134+586=999
279+136+584=999
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279+186+534=999
279+534+186=999
279+536+184=999
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283+167+549=999
283+169+547=999
283+547+169=999
283+549+167=999
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284+136+579=999
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284+179+536=999
284+536+179=999
284+539+176=999
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286+134+579=999
286+139+574=999
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286+534+179=999
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287+549+163=999
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289+176+534=999
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325+476+198=999
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369+152+478=999
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586+179+234=999
586+234+179=999
586+239+174=999
586+274+139=999
586+279+134=999
587+143+269=999
587+149+263=999
587+163+249=999
587+169+243=999
587+243+169=999
587+249+163=999
587+263+149=999
587+269+143=999
589+134+276=999
589+136+274=999
589+143+267=999
589+147+263=999
589+163+247=999
589+167+243=999
589+174+236=999
589+176+234=999
589+234+176=999
589+236+174=999
589+243+167=999
589+247+163=999
589+263+147=999
589+267+143=999
589+274+136=999
589+276+134=999
594+137+268=999
594+138+267=999
594+167+238=999
594+168+237=999
594+237+168=999
594+238+167=999
594+267+138=999
594+268+137=999
597+134+268=999
597+138+264=999
597+164+238=999
597+168+234=999
597+234+168=999
597+238+164=999
597+264+138=999
597+268+134=999
598+134+267=999
598+137+264=999
598+164+237=999
598+167+234=999
598+234+167=999
598+237+164=999
598+264+137=999
598+267+134=999

14. should be 247+563+180

15. 589 + 276 +134 = 999

16. I gave this to my 7th grade math team after seeing in it the Open Middle Math book. I made it a three step investigation. Fist was find the largest sum, then the smallest then get as close to 999. The loved it, especially the third challenge. It lead us into some counting theory discussion regarding permutations. One kid even observed that the ones column adds to 19, the tens adds to 18 and the hundreds adds to 8. They searched for different solutions that each had 216 permutations. And they are at 5 as of now.

I love how something that seems so simple can become so engaging and complex.