Указатель условий, решений и статей по мотивам задач








из «Математического просвещения»








(число перед запятой — номер выпуска, числа после запятой — номера страниц)




















Версии, актуальные на момент выхода очередного сборника, публиковались:




















в выпуске 15 (2011 г.) https://mccme.ru/free-books/matpros/mpf.pdf,








в выпуске 20 (2016 г.) https://mccme.ru/free-books/matpros/pdf/mp-20.pdf,








в выпуске 30 (2023 г.) https://mccme.ru/free-books/matpros/pdf/mp-30.pdf.































Задача Условие Решение или статья по мотивам Родственная задача Условие Решение или статья по мотивам





Задача 163 Сер.1, вып.13, с.59 31,221








Задача для школьников 6 Сер.1, вып.13, с.60 31, 221








Задача для школьников 7 Сер.1, вып.13, с.60 31,221-222








Задача 6 Сер.2, вып.1, с.220 34, 177








Задача 7 Сер.2, вып. 1, с.221









Задача 9 Сер.2, вып. 1, с.221 32,191-192








1.1 1, 193 6, 137-139 1.1' 30, 233-234






1.2 1, 193 5, 218 1.2' 22, 234 26, 276








1.2" 25, 170 26, 276-279





1.3 1, 193 4, 218 1.3' 29, 259






1.4 1, 193 5, 218-221








1.5 1, 194 6, 139-140 1.5' 27, 238






1.6 1, 194 5, 221-223; 10, 274








1.7 1, 194 4, 219 1.7' 35, 245-246






1.8 1, 194 4, 220 1.8' 27, 238






1.9 1, 194 5, 223-225








1.10 1, 194 5, 225-227; 24, 181-184








2.1 2, 216 4, 221 2.1' 35, 246





2.2 2, 216 5, 227-228








2.3 2, 216 4, 221 2.3' 28, 237





2.4 2, 217 4, 221-222 2.4' 22, 234









2.4'' 22, 234 29, 272





2.5 2, 217 4, 222 2.5' 29, 260






2.6 2, 217 4, 222-223








2.7 2, 217 6, 140-142 2.7' 28, 238 32,192-193








2.7'' 32,184









2.7(3) 33,187






2.8 2, 217 6, 2-145; 18, 259-261








2.9 2, 217 6, 145-147




















2.10 6, 135 8, 248-249








3.1 3, 232 4, 223 3.1' 28, 238-239









3.1'' 32,184






3.2 3, 232 4, 223-224 3.2' 27, 239






3.3 3, 232 5, 227-228; 19, 241-247 3.3' 25, 171






3.4 3, 232 4, 224 3.4' 36, 167






3.5 3, 233 4, 225; 18, 262 3.5' 26, 268









3.5" 28, 239









3.5(3) 29, 260









3.5(4) 29, 260









3.5(5) 32, 184









3.5(6) 32,185






3.6 3, 233 7, 190-193








3.7 3, 233 6, 147-148








3.8 3, 233 6, 148-149 3.8' 22, 235









3.8" 31, 213






3.9 8, 247 15, 206-211








3.10 3, 233 8, 239-245 3.10' 32, 185


















3.11 3, 233 8, 186-221








4.1 4, 215 6, 149-150








4.2 4, 215 7, 193








4.3 4, 215 7, 193-194








4.4 4, 216 7, 194








4.5 4, 216 6, 150








4.6 4, 216 6, 150-151








4.7 4, 216 6, 151-152








4.8 4, 216 5, 228-229 4.8' 28, 239









4.8" 29, 261









4.8''' 34, 172






4.9 4, 217 8, 237-238








4.10 4, 217 7, 194-195 4.10' 27, 239









4.10" 29, 262






4.11 4, 217 8, 249-252; 15, 212-218 4.11' 35, 246






4.12 4, 217 18, 263-269








5.1 5, 216 6, 152-153








5.2 6, 135 7, 195-196 5.2' 31, 214









5.2" 31, 214






5.3 5, 216 6, 153








5.4 5, 216-217 7, 196-198








5.5 5, 217 8, 252-254 5.5' 23, 217









5.5" 27, 239






5.6 5, 217 14, 275-276








5.7 5, 217 6, 153








5.8 5, 217 7, 198








5.9 5, 217 10, 232-235, 236-242; 5.9' 29, 262








11, 145-148








5.10 5, 217 8, 254








6.1 6, 133 8, 255 6.1' 23, 217 25, 176-177








6.1" 27, 240






6.2 6, 133 9, 225 6.2' 36, 168






6.3 6, 133 9, 225-226








6.4 6, 133 9, 226-227








6.5 6, 133-134









6.6 6, 134 8, 255-256








6.7 6, 134 11, 165-166








6.8 6, 134 8, 256-257








6.9 6, 134 8, 222-228; 229-236 6.9' 21, 275 24, 185-186





6.10 6, 134 20, 252-253








6.11 6, 134 9, 227-229; 17, 198-199 6.11' 34, 172






6.12 6, 134 8, 258-259








7.1 7, 187 9, 229 7.1' 28, 240






7.2 7, 187 8, 259-260 7.2' 34, 173






7.3 7, 187 9, 229; 10, 274; 10, 275 7.3' 32,185









7.3'' 36, 168






7.4 7, 187 9, 229-230; 36, 174-175 7.4' 31, 214






7.5 7, 187-188
7.5' 32,186









7.5“ 33,188






7.6 7, 188 16, 233-235








7.7 7, 188 21, 276-278








7.8 7, 188 13, 182-184








7.9 7, 189 9, 230-232








7.10 11, 164









7.11 7, 189 9, 232-233








7.12 7, 189 11, 166-168








8.1 8, 246 13, 184








8.2 8, 246 10, 281








8.3 8, 246 10, 281-282; 22, 237








8.4 8, 246 10, 243-264, 282-284








8.5 8, 246 9, 215-217 8.5' 29, 263









8.5" 30, 234









8.5"' 30, 234






8.6 8, 246 22, 237-239








8.7 8, 247 31, 222-225 8.7' 31, 215






8.8 8, 247 9, 233 8.8' 27, 240






8.9 8, 247 11, 168-169








8.10 8, 247 26, 279








8.11 8, 247 22, 239-240 8.11' 23, 218 29, 273-275





8.12 8, 247 20, 238-242








9.1 9, 223 14, 276-277








9.2 9, 223 13, 184-185








9.3 9, 223 26, 280-281








9.4 9, 223 10, 284-285








9.5 9, 223 14, 277 9.5' 27, 240









9.5" 31, 215






9.6 9, 223-224 12, 237-238 9.6' 34, 173






9.7 9, 224 28, 249-251








9.8 9, 224 12, 238








9.9 9, 224 11, 169-172








9.10 9, 224 10, 265-272 9.10' 34, 173









9.10'' 36, 169






9.11 9, 224 27, 249-251








10.1 10, 278 13, 185-186 10.1' 31, 215-216









10.1" 31, 216






10.2 10, 278 11, 172








10.3 10, 278









10.4 10, 278-279 11, 173-174








10.5 10, 279 14, 240-255








10.6 10, 279 12, 238-239








10.7 10, 279 24, 186-188








10.8 10, 279 22, 241-242








10.9 10, 279 14, 277-278 10.9' 28, 240









10.9" 28, 240






10.10 10, 280 11, 149-158 10.10' 28, 241






10.11 10, 280
10.11' 22, 235









10.11" 22, 235









10.11"' 22, 236






10.12 10, 280 28, 251-254 10.12' 28, 241






11.1 11, 162 13, 186; 14, 278








11.2 11, 162 13, 186-189








11.3 11, 162 17, 199








11.4 11, 162-163 23, 221-223 11.4' 23, 218 24, 188-189








11.4" 24, 178









11.4"' 24, 178 25, 177-178








11.4(4) 35, 247






11.5 11, 163 23, 223-224








11.6 11, 163 14, 279; 34, 149-155 11.6' 30, 235 14, 279





11.7 11, 163 27, 251-253 11.7' 26, 269 27, 253-254








11.7" 29, 263









11.7''' 31, 216






11.8 11, 163









11.9 11, 163 21, 278 11.9' 23, 219 25, 178-179








11.9'' 32,186






11.10 11, 164 17, 199-200








11.11 11, 164
11.11' 26, 269






11.12 11, 164









12.1 12, 235 15, 236-237; 17, 187-188 12.1' 27, 241






12.2 12, 235 34, 178-180








12.3 12, 235 16, 236; 17, 200








12.4 12, 235 14, 279-280








12.5 12, 236









12.6 12, 236 20, 254-256








12.7 12, 236 16, 236-237








12.8 12, 236 14, 256-269








12.9 12, 236 20, 256-258








12.10 12, 236 13, 189-190








12.11 12, 236









12.12 12, 236 30, 1 92-208








13.1 13, 179 14, 280-281








13.2 13, 179 14, 270-271; 14, 281 13.2' 27, 241









13.2'' 36, 169






13.3 13, 179 15, 237 13.3' 26, 269









13.3“ 33.189






13.4 13, 179 23, 224-225 13.4' 32, 186






13.5 13, 179 21, 278-282 13.5' 28, 242-243 30, 233-234








13.5" 28, 243 30, 234-236





13.6 13, 179-180 20, 258-263 13.6' 27, 242 36, 175-176








13.6" 28, 243






13.7 13, 180 23, 226








13.8 24, 177 29, 275-279 13.8' 34, 174






13.9(а) 13, 180 19, 249-253; 34, 156-161








13.9(б) 13, 180 31,225-226








13.10 13, 181 20, 215-227 13.10' 24, 179 27, 254-258








13.10" 27, 242






13.11 13, 181 22, 242-243








13.12 13, 181
13.12' 29, 264









13.12" 30, 235






14.1 14, 272 28, 254-255 14.1' 32,187






14.2 14, 272









14.3 14, 272 15, 237-239








14.4 14, 272 28, 255-256








14.5 14, 272 15, 239-240








14.6 14, 273 15, 240-241 14.6' 23, 219 24, 189





14.7 15, 235 15, 241-244








14.8 15, 235 15, 219-228 14.8' 30, 236






14.9 14, 273 16, 237-239 14.9' 26, 270






14.10 14, 273









14.11 14, 274 24, 189-193








14.12 14, 274 15, 229-230 14.12' 23, 220 27, 258





15.1 15, 232 23, 226-229; 24, 200-201 15.1' 26, 270






15.2 15, 232 23, 229 15.2' 25, 171






15.3 15, 232 30, 238-239 15.3' 32,187






15.4 15, 232 23, 230-231 15.4' 22, 236






15.5 15, 233 20, 263








15.6 15, 233









15.7 15, 233









15.8 15, 233









15.9 15, 233 24, 193-195 15.9' 36, 169 - 170






15.10 15, 234 17, 200-202








15.11 15, 234 34, 180-182








15.12 15, 234 36, 176-180








16.1 16, 230 18, 269








16.2 16, 230 17, 202-203








16.3 16, 230 20, 263-264 16.3' 32,187






16.4 16, 230 19, 260 16.4' 26, 271 27, 259





16.5 16, 230









16.6 16, 231 17, 192-195








16.7 16, 231
16.7' 30, 236






16.8 16, 231 30, 239








16.9 16, 231 19, 260-262 16.9' 36, 170






16.10 16, 231









16.11 16, 231 17, 203-207








16.12 16, 232
16.12' 27, 243






17.1 17, 196 20, 264-265 17.1' 27, 243






17.2 17, 196 23, 231-232; 25, 179-180








17.3 17, 196 22, 243-244








17.4 17, 196 25, 180 17.4' 23, 220 25, 180-182





17.5 17, 196 30, 137-140 17.5' 24, 179-180






17.6 25, 169 26, 281-282








17.7 17, 197
17.7' 29, 265






17.8 17, 197









17.9 17, 197 25, 182-185 17.9' 26, 271






17.10 17, 197 19, 263








17.11 17, 197 20, 228-237








17.12 17, 197









18.1 18, 255
18.1' 23, 220






18.2 18, 255-256 19, 264








18.3 18, 256
18.3' 26, 272






18.4 18, 256









18.5 18, 257 34, 182-185








18.6 18, 257









18.7 18, 257 19, 264-266








18.8 18, 257 19, 254-256








18.9 18, 257









18.10 18, 258 19, 266-267








18.11 18, 258









18.12 18, 258









19.1 19, 257









19.2 19, 257 21, 282-283








19.3 19, 257 20, 265-267 19.3' 26, 272 33,196-201








19.3“ 33,189






19.4 19, 258









19.5 19, 258
19.5' 25, 171






19.6 19, 258 24, 195-197








19.7 19, 258 20, 267








19.8 19, 258









19.9 19, 258 20, 267-268








19.10 19, 258









19.11 19, 258
19.11' 35, 247









19.11'' 36, 171






19.12 19, 259









20.1 20, 249 21, 283-284








20.2 20, 249 21, 235-264








20.3 20, 250









20.4 28, 236 30, 192-208 20.4' 26, 272 28, 256





20.5 20, 250 23, 232-233








20.6 20, 250 21, 219-223








20.7 20, 250









20.8 20, 250-251
20.8' 29, 265






20.9 20, 251
20.9' 30, 236






20.10 20, 251 22, 244-248; 31, 227-228








20.11 20, 251









20.12 20, 251 35, 250-251








21.1 21, 271 22, 248-249 21.1' 36, 171






21.2 21, 271 22, 249-251; 26, 259








21.3 21, 272 22, 220-228








21.4 21, 272 23, 233-234








21.5 21, 272 28, 256-259 21.5' 28, 244






21.6(a) 21, 272 22, 251-252








21.6(6) 21, 272-273









21.7 21, 273









21.8 21, 273









21.9 21, 273 22, 252-254








21.10 21, 273









21.11 21, 273
21.11' 28, 244






21.12 21, 273
21.12' 36, 172






22.1 22, 231 23, 235








22.2 22, 231-232 23, 235-236








22.3 22, 232 24, 197-198








22.4 22, 232 23, 236-238 22.4' 28, 244-245






22.5(a), (б) 26, 259-262
22.5' 26, 273 27, 259-260








22.5" (а) 27, 245 28, 259








22.5" (б) 27, 245






22.5(в) 22, 232 26, 282-284








22.6 22, 232









22.7(а) 22, 233









22.7(б) 22, 233 35, 251-254








22.8 22, 233









22.9 22, 233









22.10 22, 233 29, 272-273








22.11 22, 233









22.12 22, 233
22.12' 23, 220






23.1 23, 215 24, 168-174








23.2 23, 215
23.2' (а) 25, 172






23.3 23, 215-216 28, 259-260








23.4 23, 216
23.4' 24, 180 25, 163-166;










29, 232-238








23.4" 25, 172






23.5 23, 216









23.6 23, 216
23.6' 27, 245-246









23.6" 27, 246









23.6(3) 33,190









23.6(4) 36, 172






23.7 23, 216 24, 198-199








23.8 23, 216









23.9 23, 216 24, 199-200








23.10 23, 216
23.10' 24, 180 29, 279-280








23.10" 24, 180









23.10"' 27, 247






23.11 23, 217
23.11' 36, 172 - 173






23.12 23, 217









24.1 24, 175 25, 185








24.2 24, 175-176
24.2' 28, 245









24.2" 29, 266






24.3 24, 176









24.4 24, 176









24.5 24, 176









24.6 24, 176 25, 186-187 24.6' 29, 266-267






24.7 24, 176 31,228








24.8 24, 176 25, 187-189








24.9 24, 176 27, 260-262 24.9' 28, 246






24.10 24, 177 25, 189-190








24.11 24, 177 29, 280-282








24.12 24, 177









25.1 25, 167 26, 284 25.1' 27, 247-248 28, 260





25.2 25,167 27, 175-176 25.2' 27, 176 27, 176-177








25.2" 26, 273 27, 177





25.3 25, 168









25.4 25, 168 26, 249-257 25.4' 32,188






25.5 25, 168









25.6(а),(б) 25, 168-169 29, 282-285








25.6(в) 27, 236 29, 285








25.7 25, 169 27, 262-263








25.8 25, 169









25.9 25, 169 31,228-229








25.10 25, 169
25.10' 28, 246






25.11 25, 169 28, 219-232








25.12 25, 169
25.12' 32,188






26.1 26, 265 27, 263-265 26.1' 28, 246-247









26.1" 29, 267






26.2 26, 265









26.3 26, 265-266 36, 180-181 26.3' 29, 268









26.3" 29, 268 30, 177-191





26.4 26, 266 27, 266-269 26.4'(а) 27, 248 36, 182








26.4'(б) 28, 236 36, 182








26.4(3) 32,189









26.4(4) 33,191






26.5 26, 266 27, 182-185; 36, 155-158








26.6 26, 266 27, 186-192 26.6' 26, 274









26.6'' 35, 248






26.7










26.8 26, 267 32,193 26.8' 30, 237









26.8'' 34, 174






26.9 26, 267









26.10 26, 267









26.11 26, 267









26.12 26, 267
26.12' 26, 274









26.12" 26, 274






27.1 27, 233 36, 182-183








27.2 27, 233-234 28, 261








27.3 27, 234 28, 261-262 27.3' 28, 247









27.3" 29, 268






27.4 27, 234 32, 194-197 27.4' 28, 248 29, 244-254





27.5 27, 234
27.5' 34, 175






27.6 27, 234









27.7 27, 234









27.8 27, 235 36, 183-189








27.9 27, 235









27.10 27, 235
27.10' 28, 248






27.11 27, 236









27.12 27, 236
27.12' 32,189






28.1 28, 233
28.1' 35, 248-249






28.2 28, 233 30, 239-240 28.2' 30, 237






28.3 28, 233-234









28.4 28, 234









28.5 28, 234









28.6 28, 234 33,203-206 28.6' 29, 269 33,203-206





28.7 28, 234-235
28.7' 29, 270-271






28.8 28, 235









28.9 28, 235









28.10 28, 235









28.11 28, 235









28.12 28, 235









28.13 28, 235
28.13' 29, 271






28.14 28, 236









28.15 28, 236









29.1 29, 255-256
29.1' 32,190






29.2 29, 256









29.3 29, 256 34, 185-186








29.4 29, 256









29.5 29, 256 32, 197-198








29.6 29, 256
29.6' 33,191






29.7 29, 256-257
29.7' 33,192






29.8 29, 257
29.8' 34, 175 35, 64-74





29.9 29, 257









29.10 29, 257









29.11 29, 257









29.12 29, 258









29.13 29, 258









29.14 29, 258









29.15 29, 258
29.15' (а) 30, 237









29.15' (б) 30, 237









29.15' (в) 30, 237









29.15' (г) 30, 237






30.1 30, 229









30.2 30, 229









30.3 30, 229-230









30.4 30, 230









30.5 30, 230









30.6 30, 230









30.7 30, 230









30.8 30, 230









30.9 30, 230-231 34, 186-190








30.10 30, 231 32, 198








30.11 30, 231









30.12 30, 231
30.12' 33,192






30.13 30, 231









30.14 30, 231









30.15 30, 232
30.15' 33,193






31.1 31, 209









31.2 31, 209-210









31.3 31, 210









31.4 31, 210









31.5 31, 210
31.5' 33,193-194






31.6 31, 210









31.7 31, 210









31.8 31, 211









31.9 31, 211 35, 254 31.9' 33,194-195






31.10 31, 211









31.11 31, 211









31.12 31, 212









31.13 31, 212









31.14 31, 212
31.14' 33,195






31.15 31, 212









32.1 32, 179









32.2 32, 180









32.3 32, 180









32.4 32, 180









32.5 32, 180
32.5' 33,195






32.6 32, 180









32.7 32, 180









32.8(а),(б),(в) 32, 180









32.8(г) 32, 181









32.9 32, 181









32.10 32, 181









32.11(а),(б) 32, 181









32.11(в) 32, 182









32.12 32, 182









32.13 32, 182









32.14 32, 182









32.15 32, 182









33.1 33, 183









33.2 33, 183









33.3 33, 183









33.4 33, 184









33.5 33, 184









33.6 33, 184









33.7 33, 184
33.7' 34, 176






33.8 33, 185
33.8' 34, 176






33.9 33, 185









33.10 33, 185









33.11 33, 185









33.12 33, 185









33.13 33, 185-186









33.14 33, 186









33.15 33, 186









34.1 34, 168









34.2 34, 168









34.3 34, 169









34.4 34, 169









34.6 34, 169






34.7 34, 169









34.8 34, 169









34.9 34, 169









34.10 34, 169









34.11 34, 169









34.12 34, 169









34.13а 34, 169









34.13б 34, 170









34.14 34, 170









34.15 34, 170









35.1 35, 241









35.2 35, 241









35.3 35, 242









35.4 35, 242









35.5 35, 242









35.6 35, 242









35.7 35, 242
35.7' 36, 173






35.8 35, 242









35.9 35, 242-243









35.10 35, 243 36, 159-162








35.11 35, 243 36, 189








35.12 35, 243









35.13 35, 243









35.14 35, 243









35.15 35, 243-244









36.1 36, 163









36.2 36, 163









36.3 36, 164









36.4 36, 164









36.5 36, 164









36.6 36, 164









36.7 36, 164









36.8 36, 164









36.9 36, 165









36.10 36, 165









36.11 36, 165









36.12 36, 165









36.13 36, 165-166









36.14 36, 166









36.15 36, 166