NUTIKATELE ÜLESANDED ARVUDEGA
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/aeb9c352064c764317e4e2958111edf3.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/c444d6cba2a6b6e834701f1f1608b23d.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/80008df7c6d094070c0ee2078b2a0d36.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/12e7a33b135a3215829a15f17ef184a0.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/696e246c633d6cfcd1a0bc5cd2c272b9.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/a835bccb86c1196196c6ddee37fe855b.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6c978ca5fb3d20d49fef000bcb600aaa.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/bf97f4c6e2faeaf9719d0425c1b2793b.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/584325f9b65d09388fac49b62ef0780f.jpeg)
SISSEJUHATUS
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6765809adc012df25f25c36cbae42789.jpeg)
Sellest raamatust leiad enam kui 80 imelist arvumõistatust ajule väljakutse esitamiseks. Oled ülesanneteks valmis?
Ülesanded muutuvad raamatu edenedes keerulisemaks, seega on parim alustada algusest ning lahendada neid järjest. Iga ülesande alt leiad kella kujutise. Kasuta seda ruumi, et märkida ära iga ülesande lahendamiseks kulunud aeg.
Iga arvumõistatuse juhised aitavad alustada. Kui jääd hätta, loe neid uuesti, ehk jäi midagi kahe silma vahele. Paljude mõistatuste juures on ka näide, mis sind aitab.
Lehekülgedel on piisavalt ruumi märkmete tegemiseks, aga kui rohkem ruumi vajad, on raamatu lõpus tühjad leheküljed.
Kasuta lahendamisel harilikku pliiatsit, nii saad vajadusel vastuseid muuta.
Kui oled ikka hädas, küsi täiskasvanult abi. Kui oled tõeliselt hädas, vaata raamatu lõpuosas olevaid vastuseid ja ürita sama vastuseni jõuda.
Edu ja lõbusat nuputamist!
Tutvustame arvumõistatuste meistrit:
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/0fcab98e4c823ad5f192fc4ba304978f.jpeg)
Gareth Moore, BSc (Hons) MPhil, PhD
Dr Gareth Moore on arvude äss ning paljude ülesannete- ja ja matemaatikaraamatute autor.
Ta on loonud ajutreeningute veebilehe BrainedUp. com ning juhib peamurdmisülesannete onlinelehekülgePuzzleMix.com. Garethil on doktorikraad
Cambridge’i Ülikoolist, kus ta õpetas masinatele inglise kõnekeelt.
ÜLESANDED ARVUDEGA ALAKU!
Milline on ainus allesjäänud mull?
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/16a415374aa7f932a1a610dda1f1b185.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/ba9d0ce950879455cef3c905f74ef802.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/842cd17e915b9e39c08a372025df84fa.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/3f44cea7afc9cdf975b4b6123a4417cb.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/adeae51b001c28685237d35af4ea5365.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8c4c311443fb73d6d823f0acb726a7fc.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/a9bd1539a79689d64d9dcfe48d8381d2.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4926d9915214117841c0a487c3d4224f.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4a5b5fab6e95fd8b3aa079844b1f182a.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/bc5dc8b345d18c0b2c5cc8d2b134236a.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6640132058f5c36037414077aa27a98a.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/79615062762bef79bfdc4d2d47447000.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/aff9cddd09ff82c878ed867666bf09d3.jpeg)
IMELISED VANUSED
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4d3e2e78b4c2dd83710cb29ba7a4c1c1.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6d2d22a32302d9ec5342729edb864d5f.jpeg)
Jannel on täna sünnipäev. Ta jutustab oma sõprade Jaanika, Siimu ja Mirjamiga sellest, kui vana igaüks on. Nad märkavad, et:
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/16a415374aa7f932a1a610dda1f1b185.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/b0a7b19b34b8cf002edf8a6bfcee3716.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
Jaanika on kaks korda sama vana kui Mirjam.
Mirjam on kaks aastat noorem kui Janne eelmisel nädalal.
Siim on aasta vanem kui Mirjam.
Kui vanad on Jaanika, Siim ja Mirjam?
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/a589588d978214c8d51e4e5cfbd7a8b7.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/a25d69be05467fccbc3094356bd373da.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/e6d1060f6ff9fdb23e906a3401593db7.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/5d9cb59ac8d8bbd1fbde5a9d20464756.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4a4ad7bad4a564cc8bb5d53e2944c1ad.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6718ac48e1e8aa6724d60b87bb0fe59e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/e7f93edb6aa89390d43f2d6dcb27e6c8.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/0c3054df0c7e26eb3e95d82c9a65f9c7.jpeg)
Jaanika ........................................................
Siim .............................................................
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/03b8290fe4b8560446d29fc87524cfe6.jpeg)
Mirjam ......................................................
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/f6bdd3ffe67b86a723899efc48491de9.jpeg)
Planeedil Flink on kaht tüüpi kolle:
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8c4c311443fb73d6d823f0acb726a7fc.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4926d9915214117841c0a487c3d4224f.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/bc5dc8b345d18c0b2c5cc8d2b134236a.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6640132058f5c36037414077aa27a98a.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/aff9cddd09ff82c878ed867666bf09d3.jpeg)
Kollased 3 jalaga kollid.
Sinised 4 jalaga kollid.
Täna on nii kollastel kui sinistel kollidel pidu.
Peol on kokku 4 kolli ja neil on kokku 14 jalga.
Mitu kollast ja mitu sinist kolli on peol?
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/842cd17e915b9e39c08a372025df84fa.jpeg)
Kollaseid kolle ...............................
Siniseid kolle ........................................
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/ba9d0ce950879455cef3c905f74ef802.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/3f44cea7afc9cdf975b4b6123a4417cb.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/adeae51b001c28685237d35af4ea5365.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/a9bd1539a79689d64d9dcfe48d8381d2.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4a5b5fab6e95fd8b3aa079844b1f182a.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/79615062762bef79bfdc4d2d47447000.jpeg)
Kas oskad moodustada antud summad, valides igast märklaua sektorist ühe arvu?
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6cabfb758af09b2a1311854d35caffcb.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/668534e4138a282c7b68d56d3ab0d351.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/47d73c94d8e15aae0915e8d53f302974.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4d3e2e78b4c2dd83710cb29ba7a4c1c1.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/a25d69be05467fccbc3094356bd373da.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4a4ad7bad4a564cc8bb5d53e2944c1ad.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6718ac48e1e8aa6724d60b87bb0fe59e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/e7f93edb6aa89390d43f2d6dcb27e6c8.jpeg)
Näiteks saad kokku 3, valides siseringist 1 ja välisringist 2.
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/b0a7b19b34b8cf002edf8a6bfcee3716.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/e6d1060f6ff9fdb23e906a3401593db7.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/085a096ac093b91b952aaff636b023c4.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/dcdb61d79f7d676347aa6eca0a521482.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/0c3054df0c7e26eb3e95d82c9a65f9c7.jpeg)
Summad:
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/07bb8684c7372d725ad2bfc6f1c933ae.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/2af8d3fc054acbc4fb0be4e99dd27be2.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/58c7bc9ec82b9d022045d4e3cfeca20e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/c1c54dc6e54d193e2ff444749d8eb51e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/e77bc76a3fb40a93001cd765bbebf14b.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/a8e4fe9b6f938e525f608614c86d1a04.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/f6bdd3ffe67b86a723899efc48491de9.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/b8d401cf624b89dc38bbc1b1ac37c6c6.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6d886e6ee64ee9b3a4c0d14e4e3b7a87.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/03b8290fe4b8560446d29fc87524cfe6.jpeg)
Janne treenib ujumisvõistluseks kohaliku basseini radadel.
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/55ee9fd69ff37f24e761e6dddf738780.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/16a415374aa7f932a1a610dda1f1b185.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/3df2f60de5a94501a0e38558e104e6cd.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/f7e1a693cd8322d930a804ed6392385b.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/5d572b71035cfc413ba256361cc41b78.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6f61d6deacd0602fce7e99faf527a4df.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/a9bd1539a79689d64d9dcfe48d8381d2.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4a5b5fab6e95fd8b3aa079844b1f182a.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8a3cbd47f3184d63e03157f086a5500e.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/6640132058f5c36037414077aa27a98a.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/79615062762bef79bfdc4d2d47447000.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/aff9cddd09ff82c878ed867666bf09d3.jpeg)
Treenimiseks ujub ta iga päev rohkem.
Esmaspäeval ujub ta 3 pikkust.
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4f070322f6b4b236b985eccc893a436b.jpeg)
Teisipäeval ujub ta 6 pikkust.
Kolmapäeval ujub ta 9 pikkust.
Neljapäeval ujub ta 12 pikkust. Kas märkad mustrit?
1. Mitu pikkust Janne ujub reedel?
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/dc745f3b52333a3c14f8f56d032a93f2.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/2886acfcef384fbe5b3c94f064f54ec6.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/d269d33e6c896059296675e516a42fc1.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/842cd17e915b9e39c08a372025df84fa.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/4926d9915214117841c0a487c3d4224f.jpeg)
2. Kui ta sama mustriga jätkab, mitu pikkust on ta pühapäevaks ujunud?
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/bc5dc8b345d18c0b2c5cc8d2b134236a.jpeg)
SA JU OLED
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/f9f84b2e8a95d5461a6272e3aef219ef.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/5397dc41775cca39d24b64e5c17091a4.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/097c335d6b3601a8fefb10cc1aeb10d3.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/d44df004f7313d448875bacb476ccd62.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/8091db7d29f6feb79e0f064efdd97d3e.jpeg)
NUTIKATELE ÜLESANDED ARVUDEGA
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/ae3d30aa440fb760134649b6e7982cbb.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/b6b3b1eb4e73c3d4348a03be8c0e044e.jpeg)
Pane oma teadmised ja taip proovile rohkem kui 80 arvumõistatusega. Leia vastus kõigile ülesannetele ja oledki matemaatikameister!
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/a8df41964e4afc77a2d2f54920becbb0.jpeg)
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/b8caa9b8e8bf72a22a3e1314c87c3283.jpeg)
Vanusele 7–9 facebook.com/vestaraamatud
![](https://assets.isu.pub/document-structure/230424061137-ba35640152b02c0a950a00c2b703177a/v1/24404c448f9bb0672677f49466bb45ff.jpeg)