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QUANTUM
FOR JUNIOR SCHOOL CHILDREN
OUR GUEST IS VASYA SMEKALKIN
For four years now, the Leningrad children’s newspaper “Leninskie Iskuses” has been holding a mathematical competition for first, second and third grade students in schools in Leningrad and the Leningrad region. The problems of the Olympiad, their solutions and the names of the winners are published regularly in the newspaper on the page “For the Octobrist Guys”.
The Olympiad is headed by Vasya Smekalkin. Try to solve several problems of Vasya Smekalkin.
How many medals?
At the Olympic Games, our athletes won 96 medals, of which 65 were gold and bronze, and 61 were gold and silver.
How many gold, silver and bronze medals did they receive individually?
Try to split
Is it possible to divide three apples between two fathers and two sons so that each gets exactly one apple?
How many candies did Sasha have?
On his birthday, Sasha brought a bag of sweets to class.
- How many candies do you have? - the guys asked.
“I remember,” said Sasha, “when I laid them out in parameti, threes and fours, each time there was one extra left, and when I laid them out in fives, there was no extra.”
How many candies did Sasha bring?
60 steps to Nina. What about Tanya?
Nina lives on the fourth floor, and Tanya lives on the second. Nina climbs 60 steps. How many steps does Tanya climb?
Where are the balls?
Three boxes contain one ball each: white, black and green. On the first box there is an inscription: “white”, on the second - “black”, and on the third - “white or green”. But not a single inscription corresponds to reality.
71
How to arrange in one step?
There are three empty glasses and three with milk in a row on the table. They need to be arranged so that empty glasses alternate with filled ones. To do this, take only one glass. How to do this?
What numbers should I put?
Instead of crosses, put numbers in the multiplication operation:
** 8* *** ** ****
How much money does Kolya have?
If Kolya buys one candy, then he will have one kopeck left, and if he wants to buy 2 candies, then he will not have enough one kopeck. How much money does Kolya have?
V. M. Rosentuller
The editor-in-chief is academician I.K. Kikoin.
First Deputy Editor-in-Chief - Academician A. N. Kolmogorov.
Editorial collection: L. A. Artsimovich; M. I. Bashmakov; V. G. Boltyansky; I. N. Bronstein; N.V. Vasiliev; I. F. Ginzburg; V. G. Zubov; P. L. Kapitsa; V. A. Kirillin; V. A. Leshkovtsev (deputy editor-in-chief); A. I. Markushevich; M. D. Millonshikov; N. A. Patrikeeva; N. Kh. Rozov; A. P. Savin; I. Sh. Slobodetsky; M. L. Smolyansky (deputy editor-in-chief); Y. A. Smorodinsky; V. A. Fabrikant.
Editorial Head L. V. Chernova
Chief artist A. I. Klimanov
Technical editor S. Ya. Shklyar
Proofreader M. L. Medvedskaya
Publishing house “Science”
Main editorial office of physical and mathematical literature
Moscow, V-71, Leninsky Prospekt, 15.
Tel. 234-08-11
Delivered to set 25/111 1971
Signed into seal on 19/V 1971
Paper 70×100¹/₁₆ Physical printing. l. 4.
Conditional oven l. 5.2. Academic ed. l. 5.67.
Circulation 263,290 copies. T-06590.
Price 30 kopecks. Order 650
Chekhov printing plant of the Glavpoligrafprom of the Printing Committee under the Council of Ministers of the USSR, Chekhov, Moscow region.