Problem 1
Of the 84 tokens, half were distributed to the players. A third of the remaining ones were put in a box. How many tokens are left on the table?
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Of the 84 tokens, half were distributed to the players. A third of the remaining ones were put in a box. How many tokens are left on the table?
A rectangular flower bed is 12 m long and 7 m wide. How many meters of tape are needed to encircle it with one closed contour?
Six teams of five people signed up for a quiz. Two people became ill and did not come. How many participants attended the quiz?
For the school stage, choose one of three decorations, one of two curtain colors and one of four lanterns. How many different designs are possible?
A bakery made 50 buns. In the morning, it sold two fifths of all the buns. In the evening, it sold another fifth of the original amount. How many buns were left?
Nine lanterns were placed along the straight path every four meters. What is the distance between the outer lights?
The sum of two consecutive natural numbers is 75. Find the larger one.
The book has 90 pages. On the first day we read a third of the book, on the second - half of the rest. How many pages are left unread?
The sequence begins with the numbers 2, 5, 11, 23. Each time the previous number is doubled and 1 is added. What number is next?
There are 84 books on the shelf. They were arranged equally on seven identical shelves. How many books were on each shelf?
Problem 1. Answer: 28
After half are distributed, 42 tokens remain. One third of 42 is 14, so 28 tokens stay on the table.
Problem 2. Answer: 38
We need a perimeter: two lengths and two widths, a total of 38 meters.
Problem 3. Answer: 28
30 people signed up, 28 came.
Problem 4. Answer: 24
Each choice of decoration can be combined with 2 curtain colors and 4 lanterns: 3 × 2 × 4 = 24 designs.
Problem 5. Answer: 20
In the morning they sold 20, in the evening 10. 20 remained.
Problem 6. Answer: 32
Nine lanterns create eight 4-meter gaps: 32 meters.
Problem 7. Answer: 38
If the smaller number is 37, the next one is 38. Their sum is 75.
Problem 8. Answer: 30
After the first day there are 60 pages, after the second there are 30 left.
Problem 9. Answer: 47
After 23, according to the rule, we get 23 × 2 + 1 = 47.
Problem 10. Answer: 12
84 books divided into 7 equal parts give 12 books each.