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







1.8 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






2.2 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







3.5 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







4.12 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







6.3 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





7.4 7, 187 9, 229-230 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





9.11 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




11.5 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





13.3 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








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







15.10 15, 234 17, 200-202







15.11 15, 234 34, 180-182







15.12 15, 234








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







16.10 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, 196 122, 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








19.12 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








21.1 21, 271 22, 248-249







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








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 22, 233








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





23.7 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








23.12 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
26.3' 29, 268








26.3" 29, 268 30, 177-191




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








26.4'(б) 28, 236








26.4(3) 32,189








26.4(4) 33,191





26.5 26, 266 27, 182-185







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





26.7 26, 266








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








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








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








28.2 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





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
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