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Mathematical problems for ingenuity for grades 1 and 2

This is an educational article on mathematics, before starting classes we recommend that you read the introductory part

This activity does not require any skill, knowledge or ability to perform complex calculations. All you need is a child's ingenuity and imagination. This section contains folklore mentality problems that have been passed down orally by many generations of mathematicians.

In addition, the task includes fairly well-known logic problems and puzzles from the literature of past centuries. For ease of perception, some of them have been reformulated in a language that is more understandable for today’s schoolchildren.

Please note that some problems are comic and to solve them you just need to carefully read the conditions.

Each problem is given with a solution, based on it, you can help the little student, give him an idea, give him a little hint, but in any case you should try not to tell the solution to the problem in full.

Remember: the main thing is that the child solves at least one or two problems on his own. The fact that you tell him how to solve this or that problem will be much less useful than if you solve it yourself.

We also advise you not to rush; if you cannot solve a problem, you can postpone solving it for a couple of days and move on to the next task.

Hints are given for some problems - you can use them to help your child solve the problem without telling the whole solution.

Task No. 1

Dasha and Masha went to the cinema, along the way they found 2 rubles. How much money would the girls have found if they had also taken Olya with them?

Clue

Where did the money come from on the road? How much money would be there if Masha went alone?

Solution

This is a joke task. The amount of money does not depend on how many people find it.

Answer:

2 rubles.

Task No. 2

Nikita came out from the village of Myshki to the village of Koshki, and Ira rode out on a bicycle to meet him, from the village of Koshki to the village of Myshki. Which of the children was closer to the village of Cats when they met?

Clue

What happens when someone dates someone? How far are they from each other?

Solution

When a meeting occurs (no matter who with whom), those who met are in the same place. This means that Ira and Nikita were at the same distance from everything, including the village of Koshka.

Answer:

the same.

Task No. 3

Imagine that you have 5 sticks. How many sticks will there be if you break two of them into halves?

Clue

Is half a stick also a stick?

Solution

If we break one stick, then instead of one we get two sticks. This means that if we break two sticks, then instead of two we will have four, that is, two more sticks will be added. Since we did not touch three sticks, there will be seven sticks in total.

Answer:

seven sticks.

Task No. 4

Sveta can cut any ribbon in half in 1 minute. She really wants to cut her red ribbon into 6 pieces. How many minutes will Sveta be able to cope with this?

Clue

How does the number of pieces increase after one cut?

Solution

Note that in one minute Sveta increases the number of pieces of ribbon by 1: After 1 minute: 2 parts. (1 + 1 = 2). After 2 minutes: 3 parts. (2 + 1 = 3). After 3 minutes: 4 parts. (3 + 1 = 4). After 4 minutes: 5 parts. (4 + 1 = 5).

After 5 minutes: 6 parts. (5 + 1 = 6). This means that in order to get 6 parts from one part of Sveta, she will need = 5 minutes.

We can assume that the number of cuts is always 1 less than the number of parts: 6 – 1 = 5 cuts need to be made, which will take 5 minutes.

Answer:

5 minutes.

Problem #5

There were four glasses of jelly on the table. Misha drank one glass of jelly and put the glass back in its place. How many glasses are there on the table now?

Clue

Where did the jelly glass go?

Solution

Since the empty glass was put back on the table, the four glasses were still standing on the table. The fact that now there are three full and one empty does not matter. The main thing is that there are four of them.

Answer:

4 glasses.

Problem #6

In one family, each of two sisters has three brothers. How many children are there in the family?

Clue

If a sister has three brothers, how many boys are there in the family? Can two sisters have different numbers of brothers?

Solution

According to the condition, each sister has three brothers. This means that there are three boys in the family. And two girls, since it is given that there are two sisters. That is, a total of 3 + 2 = 5 children.

Answer:

5 children: three boys and two girls.

Problem No. 7

4 boys went to the store: Dima, Kolya, Nikita and Andrey, on the way to the store they found 4 rubles. How much money would Nikita find if he went to the store alone?

Clue

And if 25 boys went to the cinema, how much money would they find?

Solution

The amount of money lying on the road cannot depend on the number of children who went to the cinema. From this we conclude that Nikita would have found the same 4 rubles if he had gone to the cinema alone.

Answer:

4 rubles.

Problem No. 8

Marya was going to Moscow, she met 3 men, each man had 3 bags, each bag had 2 cats. How many creatures were heading to Moscow?

Clue

Where were the men going?

Solution

Men with cats in bags walked towards Marya, and Marya was heading to Moscow. This means that the men with the cats were walking in the opposite direction from Moscow. Consequently, only Marya went to Moscow.

Answer:

1 person – Marya herself.

Problem No. 9

One corner of the lid of the quadrangular table was sawed off. How many angles does the lid have?

Clue

Draw a table top on paper and try to “saw off” the corners using a ruler. What will happen?

Solution

Let’s draw a “table cover” on paper in the form of a square and “saw off” the corner (see figure). In the picture, the “sawed off corner” is dark. What remains is a white polygon. It has five corners.

A comment

Perhaps your child will go further and think about what will happen if the corner is sawed off not as in the picture - “a little bit”, but more. Then the lid may still have four corners (if the cut line goes through the corner - see Fig.

Poems about the number 2 for 1st grade

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But this is number two. Admire how it looks: The deuce arches its neck, Its tail drags behind it.

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By the river in a gray forest, the TWO cried to the beaver: “I don’t dare go into the water, I don’t know how to swim!” TWO minnows whisper to her: “You’re sad, girlfriend, in vain!” TWO dragonflies flew in: - Wipe away your tears, TWO! TWO little foxes came running and consoled the TWO little foxes: “You look like a swan, so you can swim too!” THE TWO sighed joyfully, shook its long neck, went into the warm water and swam like a swan!


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Only an equal one is suitable as a pair for our unit. For example, patent leather boots, the same size. Although not on one leg, This pair is boots! They also consider a cup and saucer, Mom and Dad, to be a couple.

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Number 2 is still strange: it looks like a swan. Proud, majestic, she walks everywhere like a peahen. He is very friendly with the little one, with his own sister. Divides it into two parts evenly and behaves so modestly. It’s a pity when a D is punished for knowledge.

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Neck, tail and head, Like a swan number 2.

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And the Cat has two ears. The ear is the organ of hearing. With its ear the Cat hears the scratching of mice.

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And this is the number two: There is both a tail and a head With a long swan neck, The neck goes into the back.

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I probably won’t be able to bend my neck like a deuce. Maybe you can? Barely! A swan with the number 2 can do it.

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Her appearance is like a comma, her tail is crooked, and it’s no secret: She loves all lazy people, but her lazy people don’t.

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Two sisters - two hands Chopping, building, digging, Pulling weeds in the garden bed and washing each other. Two hands knead the dough - left and right, rake in the water of the sea and rivers while swimming.

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We are given one head, And two eyes and two ears, And two temples, and two cheeks, And two legs, and two hands. But there is one nose and mouth. But if we had the opposite, One leg, one arm, But two mouths, two tongues, - We would only know what we ate and chatted!

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Who does the deuce look like? Maybe for a duck? Wait! No, only a swan, arching its neck, can compare with her.

***

Two girlfriends - Masha and Dasha Ate two plates of porridge. Masha and Dasha, two friends, drank two mugs of tea. And the two of us went for a walk, playing with a ball in the yard!

Math problems for 2nd grade



Three boxes contain 42 kg of vegetables. The first two together weigh 27 kg. How many kg of vegetables are in the first box if the second box is 4 kg less than the third?

    Solution:
  • 1) 42 - 27 = 15 (kg of vegetables in the third box)
  • 2) 15 - 4 = 11 (kg in the second box)
  • 3) 27 - 11 = 16 (kg in the first box)
  • Expression: 27 - (42 - 27 - 4) = 16
  • Answer: the first box contains 16 kg of vegetables.

For kindergarten classes, we bought 40 sheets of green paper, and 15 sheets each of red and blue. How many sheets of paper are left after 2 weeks if you used 24 sheets in the first week, and 18 more sheets in the second?

    Solution:
  • 1) 15 + 15 = 30 (red and blue paper)
  • 2) 40 + 30 = 70 (total papers bought)
  • 3) 24 + 18 = 42 (we used up the papers in week 2)
  • 4) 24 + 42 = 66 (used up in 2 weeks)
  • 5) 70 - 66 = 4 (paper left)
  • Expression: (15 + 15 + 40) - (24 + 18 + 24) = 4
  • Answer: 4 sheets of paper left.

Rabbit Krosh collected 16 edible mushrooms and 9 toadstools. His friend Hedgehog collected 7 edible mushrooms, and 4 less inedible mushrooms than edible mushrooms. How many mushrooms did Krosh and Hedgehog collect together, which of them collected more mushrooms and how many?

    Solution:
  • 1) 16 + 9 = 25 (total mushrooms Krosh collected)
  • 2) 7 - 4 = 3 (the Hedgehog collected inedible mushrooms)
  • 3) 7 + 3 = 10 (total mushrooms collected by the Hedgehog)
  • 4) 25 + 10 = 35 (mushrooms collected together)
  • 5) 25 - 10 = 15 (Krosh collected more)
  • Answer: Hedgehog and Krosh collected 35 mushrooms together, Krosh collected 15 more mushrooms than Hedgehog.



In one album Sasha had 8 stamps, and in the other 7. He was given another 8 stamps. How many stamps does Sasha have?

    Solution:
  • 1) 8 + 7 = 15 (Sasha had it in two albums)
  • 2) 15 + 8 = 23
  • Expression: (8 + 7) + 8 = 23
  • Answer: Sasha now has 23 marks.

20 meters of calico were brought to the sewing studio, but 7 meters less of silk was brought. How much fabric did you bring to the studio?

    Solution:
  • 1) 20 - 7 = 13 (brought to the silk studio)
  • 2) 20 + 13 = 33
  • Expression: (20 - 7) + 20 = 33
  • Answer: A total of 33 meters of fabric was brought to the studio.

Oksana received 9 postcards by March 8, and 8 by the New Year. She sent 10 for the New Year, and 12 by March 8. How many fewer cards did Oksana receive for these two holidays than she sent?

    Solution:
  • 1) 9 + 8 = 17 (in total Oksana received postcards for the holidays)
  • 2) 10 + 12 = 22 (sent postcards in total)
  • 3) 22 — 17 = 5
  • Expression: (10 + 12) - (9 + 8) = 5
  • Answer: Oksana received 5 fewer postcards than she sent.

There are 28 students in the third grade. In preparation for the holiday, 8 of them learn dances, 9 rehearse songs, and the rest learn poetry. How many students learn poetry?

    Solution:
  • 1) 8 + 9 = 17 (learn dances and songs)
  • 2) 28 — 17 = 11
  • Expression: 28 - (8 + 9) = 11
  • Answer: 11 students are learning poetry.

Petya picked 12 apples from one apple tree, and 9 from the other. After he shared with his friend, he had 16 left. How many apples did Petya give to his friend?

    Solution:
  • 1) 12 + 9 = 21 (Petya picked all the apples)
  • 2) 21 — 16 = 5
  • Expression: (12 + 9) – 16 = 5
  • Answer: Petya gave his friend 5 apples.



To prepare 40 kg of raisins you need to use 95 kg of grapes. How much water evaporated while the raisins were cooking?

    Solution:
  • 1) 95 — 40 = 55
  • Answer: 55 liters of water evaporated.

The car was moving along the highway at a speed of 80 km/h, then it turned onto a country road and began to move 50 km/h slower. After that, he went onto the highway and began to move 30 km/h faster. What is the final speed of the car?

    Solution:
  • 1) 80 - 50 = 30 (the car was moving km/h on a country road)
  • 2) 30 + 30 = 60
  • Expression: (80 - 50) + 30 = 60
  • Answer: The final speed of the car is 60 km/h.

There are 14 poems in the book. Nastya learned 6, Katya 3, and Nina learned the rest. How many poems did Nina learn?

    Solution:
  • 1) 6 + 3 = 9 (Nastya and Katya learned together)
  • 2) 14 — 9 = 5
  • Expression: 14 - (6 + 3) = 5
  • Answer: Nina learned 5 poems.

The girl had 150 rubles. She spent 90 on pencils, 40 on a notebook. How much money does the girl have left?

    Solution:
  • 1) 90 + 40 = 130 (pencils and notebook are together)
  • 2) 150 — 130 = 20
  • Expression: 150 - (90 + 40) = 20
  • Answer: the girl has 20 rubles left.



Source: https://mat-zadachi.ru/2-class/

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TASKS IN VERSES FOR PRESCHOOL CHILDREN (up to 10).


«
Problems in verse for preschoolers (up to 10). Apples fell from the branch to the ground. They cried, cried, tears dropped, and Tanya collected them in a basket. As a gift to my friends I brought two to Seryozha, three to Antoshka, Katerina and Marina, Olya, Sveta and Oksana, the biggest one - to my mother. Speak quickly, how many of Tanya’s friends are there? A star fell from the sky and ran to visit the children. Two shout after her: “Don’t forget your friends!” How many bright stars have disappeared, fallen from the starry sky? Holiday is coming soon. New Year, Let's stand in a friendly round dance. Let's sing a loud song and congratulate everyone on this day. Let's prepare gifts for everyone. This holiday is very bright. We will give Katya, Masha and Alenka a Burenka each, and Andryusha and Vityusha – a car and a pear. Sasha will be happy with Parsley and a large colored firecracker. Well, for Tanechka - Tanya - a brown bear in gray plush. You, friends, count your guests and call them by name. The old lady decided to bake cheesecakes. I put out the dough and lit the oven. The old lady decided to bake cheesecakes, but she completely forgot how many of them she needed. Two things - for the granddaughter, Two things - for the grandfather, Two things - for Tanya, the neighbor's daughter... I counted and counted, but lost my way, But the stove was completely heated! Help the old lady count the cheesecakes. In the fish kingdom, three young pike swim to the sturgeon in the morning to clean its cheeks, and four chubs wash its belly and sides. Count it up, kids, how many servants does the sturgeon have? Once upon a time a vest had three loops and two cuffs. If you count them together Three and two, of course, five! But do you know what the secret is? The vest has no cuffs! Mummy Pig carried six nuts for the children in a basket. The hedgehog met a pig and gave him four more. How many nuts did the pig bring to the children in the basket? Three little bunnies, five hedgehogs. They go to kindergarten together. We'll ask you to count: How many kids are there in the garden? Five pies were in a bowl. Lariska took two pies, and her pussy stole another one. How much is left in the bowl? Our cat has five kittens, sitting side by side in a basket. And the neighbor's cat has three! So cute, look! Help me count, what is three and five? Seven geese set off on their journey. The two decided to rest. How many are there under the clouds? Count it yourself, children. A rooster flew up onto the fence and met two more there. How many roosters are there? Three chickens are standing looking at the shells. There are two eggs in the nest of the hen. Count quickly, answer quickly: How many chickens will my hen have? Six cheerful bear cubs are rushing into the forest to pick raspberries. But one of them is tired. Now find the answer: How many bears are ahead? The squirrel was drying mushrooms on the tree, sang a song and said: “I don’t have any troubles in winter, Because there is a fungus: White, saffron milk cap, two oil cans, Three cheerful honey mushrooms. The boletus is great, and that is what it is famous for. And there are exactly six chanterelles. Try to count them all!” My mother and I were at the zoo, we fed the animals by hand all day. Camel, zebra, kangaroo and long-tailed fox. I could barely see the big gray elephant. Tell me quickly, friends, What animals have I seen? And if you were able to count them, you are simply a miracle! Well done! Rain, rain more fun! Don't regret the warm drops! Five for Seryozha, three for Antoshka, two for Valyusha and Katyusha. And for mom and dad, forty will not be enough. Well, you friends, count how many drops you answer! Eleven tails walked along the path along the bushes. I was also able to count that thirty legs walked. It was the roosters and piglets going somewhere together. Now the question is: How many roosters were there? And I would be glad to know how many piglets there were? Along the ravine walked a cap, two scarves, three baskets, and behind them walked stubbornly a snow-white Panama hat. How many children were there in total? Answer quickly! Seven cheerful piglets stand in a row at the trough. Two went to bed, How many pigs are there in the trough? Four goslings and two ducklings are swimming in the lake and screaming loudly. Well, quickly count - How many babies are there in the water? At the market, a kind hedgehog bought boots for the family. Boots that fit your feet, a little smaller ones for your wife. With buckles - for the son, With clasps - for the daughter. And he put everything in a bag. How many legs does a hedgehog have in a family? And how many boots did you buy? Natasha has five flowers, and Sasha gave her two more. Who here can count, What is two and five? The mother goose brought six children to the meadow for a walk. All the goslings are like balls, Three sons, and how many daughters? Four ripe pears swayed on a branch. Two pears were picked by Pavlusha, How many pears were left? Mom embroidered the carpet. Look at the pattern. Two large cells, each with three branches. Masha sat down on the bed and wanted to count the branches. Yes, she can’t. Who will help her? Once upon a time, a neighbor friend galloped up to the bunny for lunch. The bunnies sat on a tree stump and ate five carrots each. Who's the smart one, guys? How many carrots did you eat? The hedgehog gave the ducklings eight leather boots. Which of the guys will answer, How many ducklings were there? How a Bunny, a squirrel and a badger stood in a circle under the tree, a hedgehog and a raccoon, an elk, a wild boar, a fox and a cat stood up. And the last one to stand was the bear. How many animals are there? Answer! Misha has one pencil, Grisha has one pencil. How many pencils do both kids have? In a clearing near an oak tree, the Hedgehog saw two fungi. And further away, among the aspen trees, He found another one. Who is ready to answer us, How many mushrooms did the hedgehog find? This flower has four petals. How many petals do two such flowers have? The badger grandmother baked pancakes, invited three grandchildren, three pugnacious badgers. Come on, how many badgers wait for more and remain silent? I have three girlfriends, each with a mug. How many mugs do my girlfriends have? The kitten sews slippers for himself, So that his paws do not freeze in winter, But he cannot count: One, two, three, four, five... The chicken began to count the Little chickens: Five yellow and five black, And in total... Eight deer ate mushrooms, Two of their children were dozing on a hummock. Rather, I ask the guys to count how many deer went for a walk? There are swans in our pond. I'll come closer: Three black, five white. Who managed to count them? Tell me quickly, how many swans were there? Me, Seryozha, Kolya, Wanda - Volleyball team. Zhenya and Igor are two reserve players for now. And when they learn, How many of us will there be? On a hot day I go to the pond, the kids run after me. The kids surrounded me: “Oh, me, take me.” Two Seryozhas, two Natashas, ​​one Lenya, one Sasha, rushing merrily to the pond, undressing as they go, how many of them are there? Six hedgehogs were walking in the forest, picking strawberries, and one went to bed. How many of them are walking? Three lambs lived together and four more kids, count how many there are? We are having breakfast at the rest stop - They gave us some eggs with us: two soft-boiled and five hard-boiled, count how many there are? One, two, three, four It became crowded in our apartment. They live there: a canary, two Magpie hedgehogs, three siskins. Hurry up and come to us. Let's keep score together. Alenka has two chickens visiting her. A cockerel in boots, a chicken in earrings. And the cow is in a skirt, in a warm sheepskin coat. A drake in a caftan, a duck in a sundress. How many guests does my Alenka have? The doll has five elegant dresses. What should she wear today? I have some wool for the doll. Will I tie you up? and there will be dresses... He gave a pine forest Nine boletus and one fly agaric Three notebooks were given to Nadya, And four were given to Ira. How many notebooks did you give to Irochka and Nadya? I got up early today, counted all my dolls: Three nesting dolls on the window, Two Marinkas on the feather bed, Baby doll with Katya, Pinocchio and Parsley in a cap on a green chest. I counted, I didn’t work, But then I lost count. Help me count all the dolls again. I have toys: A steam locomotive and two horses, a silver plane, three rockets, an all-terrain vehicle. How many are together, how to find out? We are a huge family, the youngest is me! You can’t count us all at once: There is Manya, and there is Vanya, Yura, Shura, Klasha, Dasha, and Natasha too. We walk down the street - They say it’s an orphanage. Quickly count, how many children are there in our family? Dima walked, walked, walked. He found eight berries. Oh, how sweet, Oh, how delicious... Dima sat down and ate three berries. Eight brave kids ford a stream. One pestered: “And I want to!” How many of them came to the stream? Look, look, they are running along the plains. Six hares are ahead, and one is nearby. Let's ask them for one more thing, Then there will be hares...? Mom put cabbage pies in the oven. For Natasha, Kolya, Vova, the pies are already ready, and the cat dragged one more pie under the bench. Moreover, Mom needs to take five out of the oven. If you can help, - Count the pies! Nine little sparrows on a branch in a row, chirping merrily, each about his own. A tractor drove by - They all scattered: Six are flying towards the village, How many are on the grass? Five fingers deftly tear the grass. I also tear with my other hand. I'll give the horse some grass. Well, how many fingers do I have? Eight sparrows are pecking at the grain, two are scurrying carefully on a branch. Suddenly the cat will come and start playing tricks. How many sparrows were there? Ivan and Roman have two pockets in their trousers. And in their pockets, they say, there are two apples. If you collect all the apples, how many can you count? The cat embroidered the carpet, Look at the pattern: Three large cells, Each with three branches. The cat sat down on the bed. She began to count the branches, But she couldn’t, Who would help her? I have three beetles in one box. And in the other there are three spiders. In the corner two hedgehogs are rustling paper, And in the other corners two siskins are singing. How many animals do I have? The chicken went out for a walk. I took my chickens. Seven ran ahead, Three remained behind. Their mother is worried and cannot count, How many were all the chickens? Two large hedgehogs had five sons each, and each had two ears and a pair of eyes. Let's count the kids, How many eyes, then ears? We had fun at the Christmas tree, We danced and frolicked, Afterwards, kind Santa Claus brought us gifts. He gave me huge bags, they contained delicious items, I began to open the bag, counting the contents: Five candies in blue pieces of paper, Five nuts next to them. The clouds frowned, became angry, the clouds began to rain. The red sun smiled - Eight saffron milk caps appeared, Next to them were two waves - Inseparable girlfriends. Who has the answer? How many mushrooms have grown? The mice in the hole did not make any noise. They didn’t want to touch the cat’s paws. Three were quietly gnawing on the crust, Six started cleaning. How many mice? Count it! And give me the answer soon! There were ten trees in the garden. Eight were cut down last year. Guys, I can’t find the answer. How many trees are left in the garden? The chicken began to count the little chickens. There are five yellow ones and five white ones, and in total... Tishka the cat is such a rogue, Tishka loves fish very much. Went fishing - caught six minnows, two pikes and two ruffs. Tishka's life is good. Who was the fastest to count how many fish the cat caught? How many guys are sitting at the table and looking at us with 20 eyes? One watermelon and two watermelon. How many together, Plus knows! He can combine everything, And in one basket he will put Natasha’s pear and pomegranate, Masha’s couple of oranges, And in addition Petit’s mangoes, And then he will answer us, How many fruits are there in total! Well, check it out! In the morning a worm made a hole in the side of the apple. Littered in it, and then moved to a new house. Misha picked an apple, arrested the Worm - How many apples did he live in, How many birds did he deserve. The lions came to visit the zebra and brought gifts. The first lion brought a coconut, and the second brought two. To add one plus two, the third one was called to the lion. Sivka was walking across the field and lost two horseshoes. There are two left, and two new ones. The blacksmith forged the horseshoes. The horse is ready to walk again. How many horseshoes does he have? Maxim and Ksyusha had three large balloons, and then Uncle Klim gave them another one. It turned out two for two. How many balls do they have? The hostess discovered a bunny in a carrot bed, and four more in a row in the middle of the cabbage beds. It’s easy to count, like, How many bunnies are there in the garden. Bearded uncle Petya catches fish at dawn. He caught three crucian carp, two bream and two geese. And until the evening he counted how many fish he caught. Ksyusha and Olya went into the forest, they found two morels, and then four more. All the mushrooms were given to Ira. But she didn’t guess how many mushrooms she got. The cockchafer put on his feet Multi-colored boots Three green plus three red - Together they look great! Just count how many legs a beetle has. Valya scattered crumbs from her pocket along the path. They are pecked by five pigeons and an agile sparrow. A cat is sneaking up to them in the grass... How many birds are there on the path? Now let's count what two plus five is! Five bananas for the monkey, two for the teddy bear. How many bananas does Mishutka and the monkey have in total? Two hungry mice made four holes in the cheese. They began to call the third mouse to help make holes in the cheese. The mice gathered together to make two hundred holes in the cheese, but they gnawed one at a time and went home into the hole, talking about a hearty feast. How many holes are there in the cheese? The captain and seven pirates arrived at the island of treasures. They went ashore from the ship and found a golden anchor. They began to divide equally - cutting across with a saw. Count, sweat, how many parts there should be. Two brown bear cubs found hedgehogs under a bush. There are a lot of them there - as many as six, and you can’t even count the thorns. There is no one else. How many animals are there in total? A curious rocket flew around three planets, rested and again - flew around five. Met everyone in our solar system! Give me an answer quickly. How many planets are there in total? At the countess's dinner, four ladies are eating soup, And four gentlemen are thirsty for a dish of change - They wave their hands to the cook And shout, kicking their feet: “Hey, quickly bring the roast, Everything that is delicious, Pineapples and sweets!” How many guests are at the table? Sveta Chocolate has two candies in her box, Marina has seven, and Kolya has none at all. It’s a big secret for him, How many candies his friends have! Kesha knew three smart words, learned six more new ones. It’s a pity he doesn’t understand yet, How many words does he know! There are five toothy crocodiles in the sun near the Nile, and four of their friends are under the water near the bank. The zebra walked to the watering hole, walked around five, did not see four, and immediately became their prey. How many crocodiles there are, it’s not for her to count, but for us! The octopus from the one-legged one asked for a leg for a while, so that it could run to the door and return quickly. My friend, of course, helped. What has the octopus become now? Katya has three markers on the table, seven under the bed. Katya began to look for them, but found only five. Two disappeared. Such grief! How many were there in the set? Five cheerful little men fell from the bridge into the river, and exactly five of the same ones immediately rushed to save them. How many people ended up swimming in the river? There were six sandy round towers in Sasha's fortress. To expand his castle, He blinded four more, And then asked Pasha, How many towers are there in the super castle? Yegor has five plates, three pans, eight squirrels, two tame chipmunks, but no cat and puppy. Quickly count how many animals he has. And I won’t ask you to count his dishes! While practicing, the soldier threw nine blank grenades into the tank. And I went to war, I took one for combat. Great power is hidden in it: I threw it - the tank turned around! How many grenades did our soldier throw into the tanks? From the bastion, along the edge of the forest, a soldier fired from a cannon: He stunned a couple of squirrels, alarmed three boogers, and a cuckoo began to hiccup. How many people did the gun scare? Vasya is the main general, He gathered two armies. In the first there are four soldiers, in the second there is one pirate. Roma came to Vasya And won the battle - More than his army For one soldier! Count in two steps, How many soldiers does Roma have? Vera has a doll Nyusha, Two balls, Stepashka with Khryusha, And also, like for a parade, Five nesting dolls stand in a row. Her friends are jealous of her. Count her toys! Once Vitya and Zhenya were shooting together at a target shooting range. Vitya hit the target almost nine times out of nine. Zhenya fired seven times, but didn’t hit at all. Well, did so many or few friends' bullets hit the target? Here's a simple example: There were two whole cakes. Petya ate one quietly. I thought my mother wouldn't notice. Petya got it for him! But how much is left? On Monday, at the edge of the forest, three cuckoos were cuckooing, and they agreed to crow there again on Tuesday. But one didn’t want to and flew away from the edge of the forest. The rest won’t count how many of them are left here. Anton’s grandmother remembers three telephone numbers by heart: Mom’s, dad’s and his, but she doesn’t remember hers. Only Anton’s mother, Mila, forgot her phone at home. Grandma, if something happens, how many people can she call? The duck laid three eggs, and the fox found two of them. The foxes are also hungry... How many ducklings have hatched? Vyacheslav dug three holes in the sand hill with a shovel. In the right hole is a general, in the left hole is a dump truck. Well, look around the hillock: How many free holes are there in it? A spider has moved into Alyosha's attic. He examined all four corners from the ceiling, wove a large net in one and remained hanging in it. His friends want to know him, as many corners are free. There were four hedgehogs living in Terenty's apartment. Kirill took two for himself and gave them to Katyusha. And she is like a snake to him. How many hedgehogs does anyone have? Vasya made a stool: Three legs, no fourth. And now he’s sitting, counting how many legs are missing. There are five pirates on the island, but they all have one shovel. To find the treasure faster, How many shovels should I bring? Prince Semyon and Prince Stepasha wooed Princess Masha, and Roma and four others wooed her friend Ira. As soon as Masha found out about it, she became sad and began to cry. To assuage her annoyance, How many new princes do we need? The dog has five puppies: Three are white on the sides and, like their mother, black-footed. The rest, apparently, look like dad - He's all red. Who's ready to count the Red puppies? The kids lowered the Fleet into a puddle in the middle of the yard - Five paper ships and a shoe box. In the morning we looked into the puddle - lo and behold, four drowned, and the dog Barbos took the box into his kennel. Quickly count how many whole ships there are! Six sea turtles are rushing to the blue sea. Denis caught one. How many reached the sea? Of the six, two climbers climbed the mountain quickly, the rest under the mountain are busy playing cards, chewing crackers with a crunch, singing loud songs. Only the avalanche guessed how many of them were left below. There were six coats hanging in the closet, Three of them were eaten by moths in the summer, The rest were not eaten, She kept flying and counting, Gaining an appetite, How many of them were hanging in the closet. On Arina's bed there are six without four feather beds. Yes, no matter how many of them there are, But you can’t sleep without fairy tales. Arina's mother will tell them, You count the feather beds. Ivan Petrov let six hungry mosquitoes into the house. Before going to bed, he sucked five bloodsuckers with a vacuum cleaner. In the morning I counted in sorrow how much they interfered with sleeping. The rainbow draws light, only there is no red paint. Who will answer the question, how many stripes will be in it? A oak with iron branches grew on the island of Buyan, and on it - seven acorns, all the size of horses. Until now, the people were marched by B, if the accelerated did not fall. Their answer will only resurrect: how much more is hanging there? With chalk, four boys painted seven bears. Two white among them, how many bears of the rest? There were seven peas in the pod, but of them there are only three good ones, in the rest of the Khrum-Gryza Corridor worm, it is sprinkled. The crumbs will also be able to count, how many holes in peas. At night, seven mice of bats decided to overtake the cloud. Only a cloud is black, not visible in the black sky. Without catching up, four mice sat down to rest on the roof. The rest rush further, the cloud "do not leave" shout. How many fly mice are now chasing a cloud? Aquarium fish have seven heads and zero smiles. Dima trained them - he piled their heads into the water. But in vain he tried, he smiled at every fish - a day later he recognized the tea: "We do not teach fish." And he persuaded Antoshka five to replace the cat. How many fish is now Dima, the cat needs to know. We know for sure that Vanya had seven rubles in his pocket. Vanya went to the store and bought for six loafs. The seller was puzzled, how much to give the child to change. The wizard Vanya was promised to fulfill his desires. Vanya made one thing - throw the violin into the window so that the mother did not kill and did not buy the second. How many more desires will the sorcerer fulfill Vanya? Klim brought eight ripe pineapples from Honduras. Two deteriorated on the way, you count the rest! Valera Bokov, Valera Bokov, skipped lessons: he dragged three cats by the tail, searched for the rest of the treasure. How many lessons do you need to quit the search for a treasure? The yacht "Our Hello to the whale" abandoned the anchor in the port. Eight immediately sat in the boat, the rest did not have time. And on board returned on the period the boatswain, pilot, cat and COC. Only Medusa guessed how much in the city it remained. Of the eight, only five in "I'm afraid!" Let's go to play, the rest are in the garden. Who will consider brave men? Pas behind the river man of eight sheep. In the evening I decided to consider them, looking, only six were left. How many sheep in the forest are the wolves of the gray grazing? At eight in the evening, Papa Sasha will send Natasha to sleep. But she did not go to bed, but she translated the clock. Again, only seven became, then it’s too early to sleep. Help, count how much more to play. Lida Lida Vlad gave nine tiles of chocolate. He ate one of them right away, the rest gave Stas. Stas put them in his pocket. How many chocolate are there? The steam locomotive brought nine brand new wagons to the platform, there the caretaker Grandfather Cyril unhooked two wagons, with them the conductor Klava. What is the length of the composition? With nine bows, Dasha for three bows Nina is more beautiful. Who is ready to count, how many Ninin bows? Uncle Kolya took nine books in the library for Heki. The boy forgot two in the cinema, thought that his uncle still left two in the zoosad. How many books did he return to his uncle? In the bazaar, Georgian had nine oranges. He sold five of them to Sasha, sold the rest to Masha. And he thought and wondered how much he sold. The dwarf tore nine gold coins from the magic branches, ate and drank a day in the tavern and even bought a horse. Six coins are left, by the way. How much money did the dwarf spent? Countess Tutti Puffel has nine steam shoes. Seven of fashion came out in the fall. How many pairs of Countess wear? Two girlfriends had nine festive crackers. Eight made a “clap-clap”, the rest are just a “lop”. How many bad crackers did two girlfriends have? Grandma Hedgehog with a grandfather Hedgehog on the table counted crumbs. They counted ten, but the sparrow flew out the window. Jump and bracket, sore and pour - he managed to storm the tiny. How many crumbs counted on the table the Hedgehog family. They jumped from the cliff into the abyss of ten iron robots. Two, reaching the bottom, turned into two pancakes. The rest survived, very gently sat down. No miracle here - a parachute is built into the case. How many iron robots are the SOS signals from the abyss? The evil wizard of pelicias knows ten spells. Before lunch, he turned the yulu into a nightmare, a doll Nastenka - into a frog, and a pillow into a super -button, had lunch and again began to conjure above the potion. How many terrible spells are the evil jerking pelicias? Ten mice with a cat Murka on the carpet played in the blinds. She caught four, did not catch the rest, but asked the kids: "How many mice flee?" In the lesson, Petya from the bones learned to score nails. Petya hit with a hammer - the nail bent a worm. Only the hammer took Kostya, scattered nails on the floor, and, raising, scored almost exactly five out of ten. The rest was given to Petya. How many of them, tell me, children? Ten small penguins floated on the ice in the sea. Six dived behind the fish, the rest did not risk. How many penguins in the sea are now floating on ice floes? Ten ballerinas on the stage teach a batch of dumplings: with a handle with a hand and a leg, and then jumped into sour cream! Eight jumped on notes gracefully and hunting. The rest with the stigma "shame" were sent to repet. How many dumplings rehearse on stage now? Doctors found ten harmfulness of symptoms in Tom. Nine cured, but the boy is harmful anyway. How many more symptoms are the harmfulness of Tom? Misha collects tanks and plays with friends. He already has eight of them. And he asks a friend of Fedya to five of them who to change for a year for an all -terrain vehicle. Only Fedya does not agree! But Vasya wants to change. Misha changed with him - he gave three tanks in one. How many Misha now have, mice will count at night.

Logic problems for 2nd grade

#1

There is an intersection of two roads. Along each of the roads, on one side at this intersection, 11 trees must be planted. What is the smallest number of trees that can be planted for this task?

Answer? Least number of trees 21

#2

A notebook is cheaper than a pen, but more expensive than a pencil. Which is cheaper?

#3

What three numbers, when added or multiplied, give the same result?

Answer? 1, 2, 3 (1+2+3=6, 1*2*3=6)

#4

There are four children in the family, they are 5, 8, 13 and 15 years old, and their names are Tanya, Yura, Sveta and Lena. How old is each of them, if one girl goes to kindergarten, Tanya is older than Yura, and the sum of Tanya and Sveta’s years is divided by 3?

Answer? Tanya can't be 15, because... 15+5=20 is not a multiple of 3. Yura cannot be 5, because the youngest of the children goes to kindergarten, and according to the condition it is a girl. That means Tanya is 13. And Yura is 8. Sveta can’t be 15, because... 15+13=28, not a multiple of 3. That means Sveta is 5. It remains to say that Lena is 15.

Answer: Sveta is 5 years old, Yura is 8 years old, Tanya is 13 years old, Lena is 15 years old.

#5

Grandmother has two grandchildren: Kolya and little Oleg. Grandma bought them 16 candies and told Kolya to give Oleg 2 more candies than he took for himself. How should Kolya divide the candies?

Mathematics Olympiad 2nd grade, equations, problems and riddles with answers

By holding a distance Olympiad in your educational institution, you can instill in 2nd grade students a love and cognitive interest in learning mathematics.

The tasks for the Olympiad in the second grade should not be too complicated and at the same time quite varied and interesting. That is why you should trust professionals working in this direction when writing assignments.

This page provides examples of Olympiad tasks with ready-made answers. This material can be used by teachers as a simulator to prepare students for the Olympiad.

  • 1. Solve the equations: 45 – x = 25 x + 7 = 17
  • 28 – x = 13
  • 2. Solve the equations: 22 + x = 28 x – 12 = 13
  • x – 15 = 15
  • 3. Solve the equations: 13 + x = 20 x – 16 = 13
  • x – 6 = 10
  • 4. Determine the equation whose solution is 7 a) 19 - x = 10 b) x + 5 = 12
  • c) x - 5 = 2
  • 5. Solve the equations: 70 - x = 38 x + 37 = 49
  • x - 35 = 59
  • 6. Find the solution to the equations: 22 + x = 48
  • 100 - x = 67
  • 7. Solve the given equations x + 25 = 49 x – 23 = 45
  • x + 13 = 37
  • 8. Find solutions to these equations x - 18 = 34
  • x + 36 = 65
  • 9. Solve the equations 12 + x = 25 x – 18 = 30
  • x – 18 = 18
  • 10. Is the equation 99 - 18 = x + 59 solved correctly?
  • x = 22

Problems for Olympiads in 2nd grade

Problem No. 1 There are 26 buckets of water in a barrel. 17 buckets were taken from it. How many buckets of water do you need to add so that there are 30 buckets of water in the barrel?

Task No. 2 The beginning of the fairy tale “The Snow Queen” is on page 20, and the end is on page 50. How many pages do you need to read?

Problem No. 3 Katya, Galya and Olya, while playing, hid a toy each. They played with a bear, a bunny and an elephant. It is known that Katya did not hide the bunny, and Olya did not hide either the bunny or the bear cub. Who has what toy?

Problem No. 4 There are 22 cars on the train. The class was located in carriage 11. How many cars are in front of them and how many are behind them?

Problem No. 5 99 numbers are written: 1, 2, 3, ...98, 99. How many times does the number 5 appear in the writing of numbers?

Problem No. 6 5 carrots were boiled in a saucepan at the same time. They cooked in 20 minutes. How many minutes does it take to cook one carrot?

Problem No. 7 What number is less than 29 from which you can subtract 3 times 9?

Problem No. 8 Fishermen caught 46 kg of fish in one catch. How much more fish do you need to catch if the plan calls for 90 kg?

Problem No. 9 A mechanic repaired 67 motorcycles in a month. How much more does he have left to repair if there are 77 motorcycles in the workshop?

Task No. 10 15 groups of children came to the camp to relax. Although the camp can accommodate 8 more groups. How many groups can the camp accommodate on vacation?

Math riddles

Riddle No. 1 The miller went to the mill and saw 3 cats in each corner. How many legs are there in a mill?

Riddle No. 2 The thermometer shows plus 15 degrees. How many degrees will these two thermometers show?

Riddle No. 3 Near the dining room, where skiers who came from a hike were having lunch, there were 20 skis, and 20 poles were stuck in the snow. How many skiers went on the trip?

Riddle No. 4 Grandfather, woman, granddaughter, Bug, cat and mouse pulled and pulled the turnip and finally pulled it out. How many eyes were looking at the turnip?

Riddle No. 5 There is an elevator in a 9-story building. 2 people live on the first floor, 4 people on the second, 8 people on the third, 16 on the fourth, 32 on the fifth, and so on. Which button in the elevator of this building is pressed most often?

Answers to equations

The equation№ 1№ 2№ 3№ 4№ 5
Answerx=20 x=10 x=15x=6 x=25 x=30x=7 x=29 x=16b) c)x=32 x=12 x=24
The equation№ 6№ 7№ 8№ 9№ 10
Answerx=26 x=33x=24 x=68 x=24x=52 x=29x=13 x=48 x=36Yes

Answers to problems

  1. Problem 1 21 buckets
  2. Problem 2 31 pages
  3. Problem 3 Olya has an elephant, Katya has a bear cub, Galya has a bunny
  4. Problem 4 10 and 11 cars
  5. Problem 5 20 times
  6. Problem 6 in 20 minutes
  7. Problem 7 27
  8. Problem 8 44 kg
  9. Problem 9 10 motorcycles
  10. Problem 10 23 groups
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