Features of competitions for 4th grade
Olympiads for 4th grade in 2020 vary significantly in scale, as well as in the terms of the competition. Such events are regional, municipal, city and all-Russian. In terms of organization, the competition can be held both in an auditorium or class, and online. Distance Olympiads for fourth-graders are gaining more and more popularity, since when taking tests in a familiar environment, the student feels calmer and experiences less stress.
Any Olympiad for 4th grade requires preparation, which includes:
- Repetition of the school curriculum;
- Studying additional materials (films, literature, etc.);
- Additional classes with teachers;
- Participation in open lessons and lectures;
- Practical classes on solving tasks similar to Olympiads.
We also recommend paying attention to the Olympiads for 4th grade with answers for 2019. This will help determine the approximate difficulty of the upcoming competition.
Problem 4
Three empty fruit baskets stand in a row. Dasha puts apples one at a time into the baskets in this order: first, second, third, second, first, second, third, second, first, etc. She will finish when there are 13 apples in the second basket. Which of the two baskets, the first or the third, will contain more apples? The answer needs to be justified.
Answer : There are more apples in the first basket.
Solution . Let’s divide all of Dasha’s actions into pairs as follows:
- she puts an apple in the first and second baskets;
- puts an apple in the third and second baskets;
- puts an apple in the first and second baskets;
- puts an apple in the third and second baskets
- and so on.
Each such pair of actions ends with Dasha putting an apple in the second basket. Thus, there will be exactly 13 pairs of actions. This means that the first basket will contain 7 apples, and the second basket will contain 6 apples.
Criteria
1 b. There is only the right answer.
4 b. The correct answer and justification are provided.
As a justification, a “picture” is counted, which shows how many apples ended up in which basket.
Distance Olympiads on our portal
On our Internet portal you can get acquainted with online Olympiads for grade 4, as well as take testing in one of the following subjects:
- Mathematics;
- Russian language;
- French;
- Computer science;
- English language;
- Russian literature;
- The world around us (natural history).
The Olympiads are held in blitz poll mode. For each task, only 1 correct option is offered. If the student answers correctly, his answer is highlighted in bright green; if he is wrong, his answer is highlighted in red.
The tests contain from 8 to 15 questions of varying difficulty levels. You are given 30 minutes to complete any test, but most guys complete it much faster. The questions in these tests are not extremely difficult.
At the end of the Olympiad, it is possible to organize the receipt of diplomas for laureates and prize-winners. After all, a memorial certificate is the best encouragement for talented students, which will remain with them for a long time in memory of their first victories on the path to knowledge. You can order unique diplomas on our portal.
Collection of logic problems for grade 4
Collection of logical problems in mathematics for 4th grade.
1. The family has four children. They are 5, 8, 13, 15 years old. The children's names are Anya, Borya, Vera, Galya. How old is each child, if one girl goes to kindergarten, Anya is older than Bori, and the sum of Anya’s and Vera’s years is divisible by 3?
(Vera is 5 years old, Borya is 8 years old, Anya is 13 years old, Gala is 15 years old)
2.The shooter shot at the target 10 times and scored 90 points. How many hits were there in the seven, eight and nine, if there were four tens, and there were no other hits or misses?
(I got into the seven 1 time, into the eight – 2 times, into the nine – 3 times)
3. Katya and Sonya counted the number of days in four years, one after another. Katya got 1460 days, and Sonya got 1461 days. Which one of them counted correctly?
(Sonya, since she took into account one leap year.)
4. Sawmillers cut the log into meter-long stubs. The length of the log is 5 meters. Sawing a log crosswise takes one and a half minutes. How many minutes did it take to cut the log?
(In 6 minutes.)
5. A jar of honey weighs 500 g. The same jar with kerosene weighs 350 g. Kerosene is 2 times lighter than honey. How much does an empty can weigh?
(200 g)
6. How many four-seater boats will be needed to transport 18 people at a time?
(5 boats)
7. There were 16 sparrows sitting on two bushes. 2 sparrows flew away from the second bush, and then 5 sparrows flew from the first bush to the second. After this, there were the same number of sparrows on each bush. How many sparrows were there on each bush at first?
(12 and 4 sparrows)
8. The daughter is currently 8 years old and the mother is 38. In how many years will the mother be three times older than her daughter?
(after 7 years.)
9. Erlan walks 30 minutes from home to school, and his brother Temirlan walks 40 minutes. Temirlan left the house 5 minutes earlier than Erlan. In how many minutes will Erlan catch up with Temirlan?
( after 15 minutes)
10. There are pheasants and rabbits in the cage. All animals have 35 heads and 94 legs. How many rabbits and how many pheasants are there in a cage?
(rabbits – 12, pheasants – 23)
11. The striking clock strikes once every 1 second. How long will it take the clock to strike 12 o'clock?
(11 s)
12. Three chickens will lay 3 eggs in 3 days. How many eggs will 6 hens lay in 6 days?
(12 eggs)
13.A snail climbs up a 10-meter-high pole. During the day it rises by 5 meters, and at night it drops by 4 meters. How many days will it take for the snail to reach the top of the pillar?
(in 6 days)
14. The boy has as many sisters as brothers. And his sister has half as many sisters as brothers. How many brothers and how many sisters are there in this family?
(4 brothers, 3 sisters)
15. Several children were collecting waste paper. And each boy collected 21 kg, and each girl 15 kg. In total, the guys collected 174 kg of waste paper. How many boys and how many girls collected waste paper?
(4 boys and 6 girls)
16.There are 44 books on three shelves. After 3 books from the third shelf were moved to the second, there were equal numbers of books on the first and third shelves, and twice as many books on the second as on the first. How many books were on each shelf initially?
(11,19,14 books)
17. What time is it now if the rest of the day is twice as long as the past?
( 8 ocloc'k)
18. The height of the pillar is 20 meters. An ant crawls along it and rises 5 meters up during the day, and drops 4 meters down during the night. How many days will it take the ant to crawl to the top of the pillar?
(in 16 days)
19. The height of the pine tree is 20 meters. A snail crawls along it, rising 2 meters up every day and dropping 1 meter down every night. How many days will it take the snail to climb to the top of the pine tree?
(for 19 days)
20. There were 40 magpies sitting on one tree. A hunter passed by, shot and killed 6 magpies. How many magpies are left on the tree?
(not one, the rest flew away)
21. A brick weighs 1 kg and another half a brick. How much do 5 bricks weigh?
(10 kg, since one brick weighs 2 kg.)
22. Three cats eat 3 mice in 1 hour 30 minutes. How long does it take for 10 cats to eat 20 mice?
(in 3 hours)
23.1 ton of milk produces 80 kg of cheese. How much milk is needed to get half the amount of cheese?
(500 kg)
24.A coil of wire weighs 4 kg. Each decimeter weighs 8 g. What is the length of the wire?
(50 meters)
25.The boy read 77 pages every Sunday. How many pages did the boy read on all the Sundays of the year?
(4004 pages)
26. There are less than 10 apples in the basket. These apples can be divided equally between two or three girls. Guess how many apples are in the basket?
(6 apples)
27.The kangaroo has a runny nose. He uses square scarves
25 x 25 cm. In 8 days, the kangaroo used 3 m² of fabric. How many handkerchiefs did the kangaroo use per day?
(6 scarves)
28. How many times does the minute hand overtake the hour hand per day?
(23 times)
29. Three brothers have only 9 pencils. The youngest has 1 pencil less, and the eldest has 1 pencil more than the middle one. How many pencils does each brother have?
(2,3,4 pencils)
30. 7 people took part in the chess tournament. Each played one game with each other. How many games did they play in total?
(20 games)
Olympiad in logic 3rd - 4th grade Olympiad tasks in mathematics (3rd, 4th grade) on the topic
Olympiad tasks in logic
(grades 3 – 4)
- Two fathers and two sons ate 3 eggs at breakfast, and each of them got a whole egg. How could this happen?
______________________________________________________________
- There are 5 apples in the basket. Divide 5 apples between five people so that everyone gets an apple and one apple remains in the basket?
_______________________________________________________________
- How many ends do 4 sticks have?
Have 5 sticks? What about 5 and a half sticks?
_______________________________________________________________
_______________________________________________________________
- Three brothers studied in different classes of the same school: Vanya, Sasha and Kolya. Vanya was no older than Kolya, and Sasha was no older than Vanya.
Name the oldest brother, the middle one, and then the youngest.
_______________________________________________________________
_______________________________________________________________
- Children were swimming in the river. They constantly dived into the water, and it was impossible to count them. There were sneakers scattered on the shore - 18 in total. How many children swam in the river?
_______________________________________________________________
- They say that Tortila gave the Golden Key to Pinocchio not as simply as A.N. Tolstoy said, but in a completely different way. She brought out three boxes: red, blue and green. On the red box it was written: “Here lies the golden key,” on the blue box, “The green box is empty,” and on the green box, “There is a snake sitting here.”
Tortila read the inscriptions and said: “Indeed, in one box there is a golden key, in another there is a snake, and the third is empty, but all the inscriptions are incorrect. If you guess which box contains the golden key, it’s yours.”
Where is the golden key?
________________________________________________________________
________________________________________________________________
- 11 people came to the cafe and demanded to serve them fish. Unfortunately, the owner only had three small fish. However, the owner did not want to miss the opportunity to profit: having three fish at his disposal, he promised to serve eleven to the guests. The guests became interested in this and even agreed to pay the money in advance.
How did the cafe owner fulfill his promise?
- The absent-minded man went to bed at 7.00 pm in an apartment on Baseinaya Street, having previously set an alarm clock for 8.00 am in order to get up in the morning. How many hours did he sleep before the alarm woke him up?
_______________________________________________________________
- Solve the puzzles:
____________________________________________________________________
10. The boatman needs to transport a wolf, a goat and a cabbage across the river. But the boat is such that a boatman can fit in it, and with him either only a wolf, or only a goat, or a cabbage. But if you leave a wolf with a goat, then the wolf will eat the goat, and if you leave a goat with cabbage, then the goat will eat the cabbage. How did the boatman transport his cargo?
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
- Divide 7 apples equally between 6 boys.
____________________________________________________________________
You can draw your answer:
Ivan Tsarevich got ready to fight with the three-headed and three-tailed one. “Here is your treasure sword,” Baba Yaga tells him. “With one blow you can cut off the Snake either one head, or two heads, or one tail, or two tails. Remember: if you cut off a head, a new one will grow; if you cut off a tail, two new ones will grow; if you cut off two tails, a head will grow; if you cut off two heads, nothing will grow.” In how many blows can Tsarevich Ivan cut off all the heads and tails of the Snake?
Answer:______________________________________________________________ ________________________________________________________________________________________________________________________________________
____________________________________________________________________________________________________________________________________________________________________________________________________________
- The chocolate bar is square shaped and consists of 9 square slices. How many breaks do you need to make to get the slices separately? Each time one piece breaks.
_____________________________________________________________
- Unscramble the words by replacing the asterisks with the letter that should appear between the given letters in the alphabet.
- How many months in a year have 28 days?
__________________________________________
Olympiad tasks in mathematics grade 4
Task No. 1
Guess what number should be in place A? 9A : 1A = A
Problem No. 2
Using the four digits 5, create an expression whose value is 12.
Task No. 3
Calculate.
(1.584.162 : 527 + 1.120.977 : 429 ) * 307 =
Problem No. 4
Anya and Tanya weigh 40 kg together. Tanya and Manya weigh 50 kg. Manya and Vanya weigh 90 kg. Vanya and Danya weigh 100 kg. Danya and Anya – 60 kg. How much does Anya weigh?
Problem No. 5
A cyclist left the village at a speed of 8 km/h. When he had traveled 16 km, a pedestrian came out of the same village in the opposite direction. 5 hours after the cyclist left, the distance between them became 55 km. What is the walking speed? (decide on actions with explanation or questions)
Problem No. 6
A rabbit produces 400 g of fluff per year. To keep it, you need a cage 75 cm long and 60 cm wide. How much area should be allocated for cages for rabbits, from which 24 kg of fluff is obtained per year?
Problem No. 7
Guess which numbers are indicated by the letters: ABCG + ABCG V GDAG
Problem No. 8
Vasya has twice as many A's in mathematics as B's. How many fours and fives does he have if there are 9 in total?
Problem No. 9
Restore the parentheses and action signs:
1 2 3 4 = 1
Problem No. 10
On a 90 m long section of road, schoolchildren are instructed to plant trees so that there is a distance of 9 meters between them. How many trees should schoolchildren plant?
Problem No. 11
The car traveled from one settlement to another as many kilometers as it took minutes to drive. What is the speed of this car per hour?
Problem No. 12
Andrey and Bori have 11 nuts together, Andrey and Vova have 12 nuts, Bori and Vova have 13 nuts. How many nuts does Andrei, Bori, and Vova have together?
Problem No. 13
There are several benches in the hall. If 2 students sit on each bench, then 7 students will be left without a seat. If 3 students sit on each bench, then 5 benches will remain free. Find out the number of students and the number of benches in the hall.
Problem No. 14
Four consecutive integers add up to 1680. What numbers could these be?
Problem No. 15
Mila has four times more dolls than Lena, and Lena has 12 fewer dolls than Mila. How many dolls does Mila have?
Problem No. 16
How many two-digit numbers are there in which the second digit is greater than the first?
Problem No. 17
Decipher the rebus ** + *** = ****, if you know that both terms and the sum do not change if you read them from right to left.
Problem No. 18
A farrier shoes one hoof in 5 minutes. How long will it take 8 blacksmiths to shoe 10 horses if the horse cannot stand on two legs?
Problem No. 19
Five fishermen ate five walleyes in 5 days. In how many days will ten fishermen eat ten pike perch?
Problem No. 20
How many different results can you get by adding two different numbers from the set 1, 2, 3, 4, and 5?
Problem No. 21
Lisa chose a two-digit number that is not divisible by 10. She swapped its digits and calculated the difference between the resulting numbers. What is the highest number she could get?
Problem No. 22
Kolya caught 512 flies in 5 days. Every day he caught as many flies as on all the previous days together. How many flies did he catch on each of these days?
Problem No. 23
Find the meaning of the expression.
16728 : 204 * ( 328 – 4267 : 17 ) : 11 – 419 =
Problem No. 24
Nils flew in the flock on the back of Martin the goose. He noticed that the formation of the flock resembled a triangle: in front was the leader, then two geese, in the third row there were three geese, etc. The flock stopped for the night on an ice floe. Nils saw that the arrangement of the geese this time resembled a square consisting of rows, in each row the same number of geese, and the number of geese in each row was equal to the number of rows. There are less than 50 geese in the flock. How many geese are there in the flock?
Problem No. 25
A six-digit number begins with the number 5. If you rearrange this number to the last place of a six-digit number, you will get a number that is 4 times smaller than the original one. Find this number.
Problem No. 26
The dog saw a hare at a distance of 1 km and rushed after him. The speed of a hare is 30 km/h, the speed of a dog is 36 km/h. How long will it take the dog to catch up with the hare?
Problem No. 27
Using each digit 0, 4, 2, 7. 9, 1 only once, write down the largest six-digit number and the smallest six-digit number.
Problem No. 28
The length and width of one sheet of roofing steel together is 2130 mm. What is the length and width of the sheet if the length is 2 times the width?
Problem No. 29
Find the meaning of the expressions. 450 : ( 30 * 3 ) * 60 – 94 *3 + 68 : ( 51 : 3) = 820 – ( 57 : 19 + 77 ) *6 : 10 – 56 + 34 * 8 =
Problem No. 30
What numbers should be put instead of asterisks? * * 5 x 4 * 3 * * * 2 * * 1 * * * *
Mathematics assignments 4th grade:
Olympiad tasks with answers School Olympiad with solutions Problem solving grade 4
Test 1 | Test 2 | Test 3 | Test 4 | Test 5
