Mathematics lesson in 1st grade “Solving logical problems”

Logic puzzles for ingenuity for 1st grade

Logical riddles and ingenuity tasks for first-graders
Tatyana Sergeevna Golovina, primary school teacher The material will be useful to primary school teachers, educators and parents who want to shape non-standard thinking in their children. Goal: development of thinking of children of primary school age, ingenuity, resourcefulness. 1. In a children's pyramid, a smaller ring is placed on the larger ring. The red ring is smaller than the green one, but larger than the blue one. The yellow ring is larger than the green one. Draw this pyramid. 2. My name is Olya. My brother only has one sister. What is the name of my brother's sister? 3. The hen has 7 chickens - cockerels. Each cockerel has one sister. How many chicks does the chick have? 4. There are 9 fish in the aquarium. How many more aquariums do you need to buy so that each has 3 fish? 5 . How many seams do you need to sew to sew 4 pieces of fabric into one fabric (pieces cannot be placed on top of each other)? 6. In the photo, the daughter is to the left of her mother, and the mother is to the left of her father. What order are they in? 7. There are 6 small cacti in one pot. How many more pots do you need to buy so that each has 2 cacti? 8. The tails of all the puppies are sticking out of the kennel. How many puppies are there in the booth if we see 9 tails? 9. The cubs hid behind a bush. 8 legs are visible. How many cubs were there? 10. There were four chocolate gingerbread cookies, 5 ripe pears and 7 caramel candies on the table. How many fruits are there among them? 11. There were 8 pears and 9 plums on the table. How many more plums are there than apples? 12. An old woman was walking from the city to the village, and 3 students were walking towards her. How many people were heading to the village? 13. Five first-graders went from home to school: Petya, Lisa, Grisha, Tolya, Larisa, and 3 second-graders: Semyon, Stas, Vanya. How many girls went to school? 14. Sasha and Kolya saw two flying planes in the sky. How many planes did each boy see? 15. There were 4 glasses with berries on the table. Vova ate the berries from one glass and put it on the table. How many glasses are there on the table? 16. There were 7 candles on the table. Kolya put out one candle. How many candles are there on the table? 17. The children stood up one after another. Olya noticed that there were 4 people in front of her, and 3 behind her. How many children are there in total? 18. 10 ducks were flying. The hunter shot and killed one duck. How many ducks are left? 19. There were 8 green tomatoes on the windowsill. After three days they turned red. How many green tomatoes are left? 20. To get to the performance, two sons and two fathers needed three entrance tickets. How can this be? 21. Katya and Sveta cut out 10 leaves each and finished the work at the same time. Katya started work earlier. Which girl worked slower? 22. 5 boys and 4 girls were playing in the yard. To play, you had to stand in pairs. How many boys joined the game? 23. Petya had 5 stamps on the theme “Space”. He exchanged 3 stamps for the same number of animal stamps. How many stamps does Petya have now? 24. Sister is 1 year older than brother. How many years older will your sister be than her brother in 5 years? 25. One sausage is cooked for 2 minutes. How many minutes will it take to cook 3 of these sausages? 26. The blacksmith shoed two horses. How many horseshoes did it take? 27. Katya and Olya were at the circus. The performance lasted 2 hours. How many hours did each girl watch the show? 28. There are equal numbers of yellow and red benches in the park. Yellow 4. How many red benches are there in the park? Used literature: Gordeev E.V. “1200 problems and examples in mathematics”, Publishing house “Rodnichok”, 2000.

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tasks for ingenuity 1st - 2nd grade Olympiad tasks in mathematics (1st grade) on the topic

Challenges for ingenuity

1. What is easier: 1 kg of cotton wool or 1 kg of honey?
2. Several chicks go with the hen. One chicken is in front and two are behind, one is behind and two are in front. One between two and three in a row. How many chicks does a hen have?
3. Kostya placed 7 soldiers at a post at a distance of 4 cm from each other. What is the distance from the first soldier to the last?
4. Brother and sister have 8 sweets together. When the sister gave her brother 3 candies, they had the same amount of candy. How many candies did the brother and sister have separately at first?
5. Mom bought half a kilogram of sugar, sweets, cookies, and gingerbread. What is the total weight of the purchase?
6. How old is Vova? If we add 7 years and one more year to the number of his years, then he will be 20 years old.
7. Viti has 2 times less nuts than Vasya. Both boys have 6 nuts. How many nuts does each boy have?
8. “How old is father? If you add fifty and another 5 years to my years, then I will be 100 years old,” said the father.
9. The length of the log is 5 meters. The log was sawn into logs 1 meter long. How many cuts did you make?
10. Mother has 5 sons. Each has one sister. How many children are there in total?
11. Two boys found 6 porcini mushrooms in the forest. How many porcini mushrooms will 3 boys find in the forest?
12. Vova and Dima solved one problem each in 10 minutes. How much time did each boy spend solving the problem?
13. Birds flew over the river:

Pigeon, pike, two tits,

Two swifts and five eels.

How many birds? Answer quickly?

1. What is the smallest number of segments needed to be drawn in a rectangle to make three different rectangles?
2. Petya and Misha have the last names Chernov and Belov. What surname does each of the guys have if Petya is two years older than Belov?
3. The boy had 7 flies in the box. With two flies he caught two fish. How many fish will he catch using the remaining flies?
4. A pair of horses ran 40 km. How many kilometers did each horse run?
5. There were 6 sparrows sitting in the garden bed, and 5 more flew to them. The cat crept up and grabbed one. How many birds are left in the garden?
6. How to place 2 chairs against the walls of a room so that there is one chair against each of its four walls? How to place 3 chairs so that there is one chair against each of the four walls?
7. Kolya and Petya live in the same house: Kolya is on the sixth floor, and Petya is on the third. Returning home from school, Kolya walks 60 steps. How many steps does Petya go up the stairs to his floor?
8. Scissors were stored in two boxes for labor lessons, 20 pieces in each. Before the craft lesson, the teacher took several scissors from one drawer, and then from the second she took as many as were left in the first drawer. How many scissors are left in both drawers?
9. Inviting Tanya to her place, a friend said:

— You can easily find our apartment. When you enter our house, you will see a corridor, and in it there are three identical doors leading to the apartments of the Koltsovs, Ogurtsovs and ours. Our door is not the leftmost one, but to the left of the Ogurtsovs’ door. In the evening, Tanya came to the house where her friend lived. In the corridor she stopped in front of three doors and thought:

- Which door leads to your friend? And to the Koltsovs? To the Ogurtsovs? I wouldn't be mistaken. Help her guys.

1. Three brothers - Vanya, Sasha and Kolya - studied in different classes of the same school. Vanya was no older than Kolya, and Sasha was no older than Vanya. Name the oldest of the brothers, the middle and the youngest.
2. There were coffees in a pile on the table. Two mothers, one daughter, and a grandmother and granddaughter each took one piece of candy and the pile disappeared. How many candies were in the pile?
3. Two boys found 10 kopecks on the road. How much money will 5 of the same boys find?
4. A flock of geese was flying: one in front and two behind; one behind and two in front; one goose between two and three in a row. How many geese were there in total?
5. The hippopotamus got sick. Doctor Aibolit told him to take the medicine for three days: on the first day - one tablet, on the second - two, on the third - four. How many tablets will a hippopotamus take in three days?
6. Imagine that you have 5 sticks. How many sticks will there be if you break two of them into halves?
7. Nyusha, Barash, Kopatych and Losyash played with blue, green, yellow and red balls. Which ball did each of them play if Barash’s ball is not blue, Nyusha’s is not blue or red, and Kopatych’s is yellow?
8. Masha, Katya and Lena went into the forest to pick mushrooms. Masha found 10 mushrooms, Katya found as many as Masha and half as many as Lenins. And Lena is as long as Masha and Katya are together. How many mushrooms did the girls collect in total?
9. If Vitya buys 3 packs of chips, then he will have 4 rubles left. And if he wanted to buy 5 packs, he would not have enough 20 rubles. How much money does Vitya have?
10. Valya loves milk toffees and does not like chocolate ones. There are 7 milk and 4 chocolate toffees in a vase. How many candies do you need to get out without looking so that at least one of them is definitely one of the milk ones?
11. Sitting in class, Dima dreamed: “If I could add another half and another 20 rubles to my money, I would have enough money for comics. How much money does Dima have if comics cost 110 rubles?
12. Freken Bock baked 30 buns. The kid ate several pieces, Carlson ate 17 pieces more. The housekeeper only got three buns. Who ate how many buns?
13. Uncle Fedor, Sharik, the cat Matroskin and Pechkin decided to go hunting in winter. There they disturbed the bear and ran away from the forest, overtaking each other. Sharik ran faster than Matroskin, but slower than Pechkin; Matroskin ran home later than Uncle Fedor, who ran slower than Sharik. Who has the best chance of falling into the claws of the connecting rod bear?
14. Sasha, Styopa and Kolya were playing ball. One of the boys hit the window and broke the glass. Sasha said: “It wasn’t me who broke the window.” Kolya said: “Styopa broke the window.” After some time, it turned out that one of the boys was telling the truth, and the other was lying. Who broke the window?
15. Vanya, Petya, Sasha and Kolya have surnames beginning with the letters V, P, S and K. It is known that Vanya and S. are excellent students, Petya and V. are C students, V. is taller than P., Kolya is shorter than P. , Sasha and Petya have the same height. What letter does each boy's last name begin with?
16. Three puppies lived in a three-story house: a bulldog, a dachshund and a poodle. The puppies from the first and second floors were not dachshunds. The bulldog did not live on the first floor. Determine the place of residence of each puppy?
17. Roman and Fedor are two brothers. Together they have 100 marks. On Fyodor's birthday, Roman gave him 20 stamps, and they now have the same number of stamps. How many stamps did Roman and Fedor have before this?
18. There were 19 books on two shelves in the library. We bought new books and put as many more books on each shelf as were on it. How many books are there now on two shelves?
19. Kostya thought of a number, added 1 to it, subtracted 2, multiplied the result by 3 and divided by 4. The result was 6. What number did Kostya think of?

Intellectual marathon (1st grade)

The intellectual marathon is a multi-subject intellectual competition for schoolchildren.

All 1st grade students take part in the marathon. Conducting a marathon is an informal snapshot of the level of quality of education and helps to identify a contingent of gifted children for further individual work with them and their participation in subject Olympiads.

[sws_divider_basic]

Task 1 Solve anagrams (you need to rearrange the letters to form a word). Which word will be redundant? Cross it out. ZOAREB _______ SANOI ________ VATAR _________ ANIARB _______

Task 2 Solve the pattern, write down three more numbers, explain the answer (how did you get the numbers?): 3, 8, 6, 11, 9, ___, ___, ___

Task 3 Which word is the odd one out of those listed in each row? Explain why? September, Tuesday, April, July_______________ Tatyana, Evgeniy, Irina, Elena _______________ Morning, rain, snow, hail ______________________

Task 4 There were eleven mushrooms in three baskets. Then four mushrooms were transferred from the first basket to the second, and two mushrooms were transferred from the third basket to the first. How many mushrooms are there in three baskets?

Task 5 Masha and Lena have brown and blue eyes. What color are the eyes of each girl, if it is known that Lena is two months older than the blue-eyed girl.

Task 6 In physical education class, Vitya jumped further than Tolya, and Tolya jumped further than Oleg. Who jumped further: Vitya or Oleg?

Task 7 Guess the riddle. He cooks nets like a fisherman, but never catches fish.

Task 8 Guess the riddle. Made a hole, Dug a hole. The sun is shining, but he doesn’t even know.

Task 9 Choose the appropriate pair for the hero of the fairy tale and add: Baby and _______ Sister Alyonushka and _______ Ali Baba and ________ Kai and _________

Task 10 The guys make a garland for the New Year. First take a red ring, then yellow, blue, green. And so on in order. What color will the tenth ring be?

Task 11 Connect with a line the name of the fairy tale with the missing word: “Scarlet ……….” flower “………… - seven-flowered” flower “Stone …………” flower

Task 12 For the words in the left column, select words in the right column that are similar in meaning, connecting them with arrows. alphabet neat fire scarlet clean jump jump alphabet throw flame red throw

Task 13 Connect together parts of folk signs: December ends the year……… Bright stars turn to frost, dim…… The titmouse begins to squeak in the morning……

Words for reference: warming up, expect frost, winter is starting

Task 14 Guess what animals are hidden under these names: Alarm Clock Longshanks Porhaika Claw Thorn Berlogin

Task 15 From the proposed list, write down the names of the planets of the solar system: Mercury, Pluto, Aldebaran, Moon, Earth, Mars, Sirius, Venus, Jupiter, Sun, Saturn.

Task 16

Cross out all letters that appear more than once and connect the remaining letters. What number will you get?

EIGHT TWO THREE SEVEN PAN GANDWAY………………………..

NINE FIVE TURNIP YAR………………………………………………………….

HUNDRED AND FORTY-ONE BOTTOM CODE…………………………………

WOMB SPOT ZERO……………………………………………………………

Answers to Olympiad tasks

Answer to task 1: Birch, aspen, grass, rowan. The extra word is grass.

Answer to task 2: 3, 8, 6, 11, 9, 14, 12, 17. The following pattern can be traced: plus 5, minus 2

Answer to task 3: Tuesday is the day of the week, the rest of the words are seasons; Evgeniy is a male name, the rest are female; morning is the time of day, the remaining words are names of precipitation.

Answer to task 4: 11 mushrooms

Answer to task 5: Lena has brown eyes, Masha has blue ones.

Answer to task 6: Vitya jumped the furthest.

Answer to task 7: Spider

Answer to task 8: Mole

Answer to task 9: Carlson, brother Ivanushka, forty thieves Gerda

Answer to task 10: The tenth ring will be yellow

Answer to task 11: “Scarlet flower” “Seven-flowered flower” “Stone flower”

Answer to task 12: alphabet alphabet fire flame clean neat jump jump throw throw red scarlet

Answer to task 13: December ends the year, winter begins Bright stars for frost, dim for warming Titmouse begins to squeak in the morning, wait for frost

Answer to task 14: Rooster Giraffe Butterfly Cancer Hedgehog Bear

Answer to task 15: Mercury, Pluto, Earth, Mars, Venus, Jupiter, Saturn

Answer to task 16: ONE, TWO, THREE, FIVE.

Olympiad for 1st grade in mathematics. Participate.

Olympiad for 1st grade in the Russian language. Participate.

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Tags: mathematicsOlympiadRussian languageErudite

Challenges for ingenuity

1. There are 4 corners in the room. There was a cat in each corner, and opposite each cat there were 3 cats. How many cats were in the room? (4 cats) 2. How to bring water in a sieve? (Water can be frozen, put a bag on the bottom...) 3. 7 brothers were walking, each brother had one sister. How many people walked? (8 people) 4. What kind of dishes can you not eat anything from? (From empty) 5. The animal has 2 right legs, 2 left legs, 2 legs in front, 2 in back. How many legs does he have? 6. How many nuts are there in an empty glass? (Not how much) 7. A bricklayer worked at a construction site. On the first day he built 2 twenty-story houses, on the second - 1 ten-story house. How many houses did he build in two days? (Not how much) 8. 9 sharks swam in the sea. They saw a school of fish and dived into the depths. How many sharks were there? 9. There were 3 tulips and 7 daffodils in the vase. How many tulips were in the vase? 10. 7 boys cleared 1 path in the garden. How many paths did the boys clear? 11. What bird hatches from an egg, but does not lay eggs? (Rooster) 12. There were 4 apples on the table. One of them was cut in half and placed on the table. How many apples are on the table? (4 apples) 13. How can one bag of wheat fill 2 empty bags, the same as the bag containing the wheat? (You need to insert another into one bag) 14. Grandma Dasha has a granddaughter Masha, a cat Fluff, and a dog Druzhok. How many grandchildren does grandma have? 15. Think of a number up to 5. Add 2 to it, and I will guess what number you have in mind. How much did you get? 16. There is a tub near the wall, and in that tub there is a frog. If there were 7 tubs, how many frogs would there be? (Probably none.) 17. How to cut a square so that the resulting pieces can be folded into 2 new squares? (For 4 triangles along the diagonals) 18. There are 3 pencils of different lengths on the table. How to remove the longest pencil from the middle without touching it? (Move one of those that is shorter.) 19. The first Ivan went to the market, the second Ivan came from the market. Which Ivan bought the goods, which one went without the goods? 20. The miller came to the mill. In each corner he saw 3 bags, on each bag sat 3 cats, each cat had 3 kittens. How many legs were there in the mill? (Two legs, cats have paws.) 21. Birds flew over the river: a pigeon, a pike, 2 tits, 2 swifts and 5 eels. How many birds? Answer quickly. 22. 7 candles were burning. 2 candles were extinguished. How many candles are left? (2.) 23. A flock of geese was flying. One goose in front, two behind. One goose between two and three geese nearby. How many geese are there in a flock? (3) 24. My sister is 5 years older than my brother. How many years older will she be than her brother in 7 years? 25. Two people went and found 3 nails. Four will follow - how many nails will they find? (Most likely they won’t find anything.) 26. A woman was walking to Moscow and met three men. Each of them carried a bag, in each bag a cat. How many creatures were heading to Moscow? (Only a woman.) 27. Why would a hairdresser in Geneva prefer to cut two Frenchmen’s hair rather than one German’s? (Because he will earn twice as much.) 28. Why are street manhole covers made not square, but round? 29. Imagine that you have a box with one match in your pocket. You entered a dark room at night, where there is a candle, a kerosene lamp and a gas stove. What will you light first? (Match) 30. How many ends does the stick have? Two sticks? Two and a half? ( 6 ) 31. A chicken standing on one leg weighs 2 kg. How much does a chicken weigh standing on two legs? (2 kg) 32. Boil one egg for 4 minutes. How many minutes should you boil 6 eggs? (4 min) 33. How many months in a year contain 30 days? (All months except February.) 34. A pair of horses ran 40 km. How many kilometers did each horse run? 35. Can it rain for 2 days in a row? (It can’t. The days are separated by night.) 36. Two sons and two fathers went hunting. Killed three birds with one stone. Returning, each carried a hare. Could this happen? (Grandfather, father and son walked) 37. One and a half fish cost one and a half rubles. How much do 5 fish cost? (5 rubles.) 38. A brick weighs 1 kg and another half brick. How much do 5 bricks weigh? (10 kg.) 39. The chariot has 10 spokes. How many spaces are there between the spokes? (Draw) 40. The bookworm gnawed from the first sheet of the first volume to the last sheet of the second volume, standing to the right of the first. Each volume contains 600 pages. How many pages did he chew through? (Only bindings.) 41. The doctor prescribed 3 injections for the patient, one every half hour. How long will it take for all the injections to be given? (After 2 hours) 42. There is an oak tree in the field. There are three branches on an oak tree, and on each branch there are three apples. How many apples are there in total? (Apples don’t grow on oak trees) 43. Where can a small ball hide in an empty room so that it doesn’t get crushed by a big ball? (In the corner) 44. Is there a May Day in Australia? (There are) 45. You are the pilot of a plane flying from Paris to Moscow with a landing in Kyiv. Flight time is 2 hours. How old is the pilot? 46. ​​The lighthouse will go out and then go out. How long has the lighthouse been burning? (It didn’t burn) 47. When the goat turns 6 years old, what will happen? (She will be in her seventh year) 48. What color is the stop valve on the train and on the plane? (There is no stop valve on the plane) 49. At two o’clock in the afternoon it was raining in Novgorod. Can there be sunny weather in Novgorod in ten hours? (No, it will be night) 50. Chickens and dogs are walking in the yard, all with 10 legs. How many chickens and how many dogs are there in the yard? (1 dog and 3 chickens, 2 dogs and 1 chicken) 51. There were 10 chairs in the room on which 10 boys were sitting. 10 girls came in, and they all found a chair. How could this happen? (The boys stood up) 52. Along the path, 10 trees grow one after another, between which there are benches. How many benches are there in total? (9) 53. Four legs and four paws are visible from under the fence. How many living beings are behind the fence? (Perhaps 2 people and 1 dog, 1 horse and 1 cat, come up with another answer) 54. A father and two children were riding bicycles. There were 3 bicycles and 7 wheels. How could this be? (One bicycle had 3 wheels) 55. Six legs, two heads, one tail. Who is this? (Rider on a horse) 56. How many ears do three mice have? 57. There were 5 ducks swimming on the lake, the hunter shot and killed one. How many ducks are left? (0) 58. If you eat one plum, what remains? (Bone.)