Dear Guys!
Summer holidays have arrived. Relax, have fun, but remember my tasks. They will be very simple and will help you remember the school curriculum for 3rd grade.
· I have been studying mathematics and Russian since the second half of summer.
· Improve your handwriting!
Let me remind you that summer assignments are recommended assignments and are optional.
Approximate training duration:
· reading the text – 4 minutes
· rewriting - 5 minutes
· solving the example – 1 minute
· problem solving – 5 min
Just 15 minutes
Let me remind you that the norms of reading technique for grade 4 are:
Beginning of the year (aloud): 70 - 80 words per minute
End of 1st semester: 80 – 90 words per minute
End of year: 90 - 100 words per minute
Summer reading list
3rd grade
1. Epics: “Ilya Muromets goes free”, “The first battle of Ilya Muromets”, “Dobrynya and the Serpent”, “Dobrynya, Ambassador of Prince Vladimir”, “Sadko” retold by I.V. Karnaukhova
2. A.K. Tolstoy "Ilya Muromets"
3. A.S. Pushkin “The Tale of the Golden Cockerel”, “The Tale of the Priest and His Worker Balda”
4. M.Yu. Lermontov “Three Palms”, “Two Giants”, “He Was a Child...”, “Cossack Lullaby Song”
5. L.N. Tolstoy “The Squirrel and the Wolf”, “Milton and Bulka”, “The Old Man and the Apple Trees”,
6. A.P. Chekhov “The Fugitive”, “Children”, “White-fronted”, “Kashtanka”
7. F.I. Tyutchev “December morning”, “I love the thunderstorm at the beginning of May...”, “These poor villages...”, “The clouds are melting in the sky...”
8. A.A.Fet “September Rose”, “I came to you with greetings...”, Learn from them - from the oak, from the birch...”, “Wonderful picture...”
9. A.N. Pleshcheev “Grandmother and Granddaughter”, “My Kindergarten”, “Childhood”, “The Past”
10. I.S. Nikitin “Morning on the shore of the lake”, “Memories of childhood”, “Music of the forest”, “The moon shines merrily over the village...”
11. I.A.Bunin “On the pond”, “Northern birch”, “The snow is melting...”, “The first matinee...”
12. V.F. Odoevsky “Poor Gnedko”, “Indian Tale of Four Deaf People”
13. P.P. Bazhov “Blue Snake”, “Golden Hair”, “Jumping Fire Girl”
14. E.L. Schwartz “The Absent-Minded Wizard”
15. V.Yu. Dragunsky “There is a lot of traffic on Sadovaya”, “Dog Thief”
16. V.V. Golyavkin “Notebooks in the rain”, “Our conversations with Vovka”, “How I celebrated the New Year”, “Kaleidoscope”
17. B.S. Zhitkov “Pudya”, “Jackdaw”, “Mug under the Christmas tree”
18. K. G. Paustovsky “Hare’s Paws”, “The Adventures of the Rhinoceros Beetle”, “Cat Thief”, “Warm Bread”
19.R. Raspe “The Adventures of Baron Munchausen” (chapters); D. Swift "Gulliver's Travels"
20. Mark Twain "The Adventures of Tom Sawyer"
21. I. Krylov “The Hardworking Bear”, “The Crow and the Fox”, “Curious”; Aesop "The Raven and the Fox".
I. Krylov “The Fox and the Grapes.”
Task No. 1 Winter forest
The Russian forest is wonderful in winter! White fluffy snow hung on the tree branches. Resinous cones decorate the tops of fir trees. Nimble tits squeak in the branches. Patterns of hare and fox tracks are visible on the snowdrifts. Here is a squirrel running across the road. She jumped onto a pine tree and waved her tail. Light snow dust flew. The woodpecker knocked on the trunk with a hammer.
(50 words)
35: 7 ∙ 8 – (47 – 46) =
Task No. 1
In April, the owner planted 40 eggplant seedlings in the greenhouse. Due to May frosts, 25 plants died. The owner planted another 30. How many eggplant bushes are now growing in the greenhouse?
Task 2.
True tracks
The guys walked through the forest along a straight path. The paths were covered with snow. The children ran following the animal's tracks and got lost. The guys were scared. They started screaming. The winter forest is silent. Suddenly Nikita saw familiar footprints. A dog ran by here. These tracks always lead to housing. This is how the boy's grandfather taught him. The guys followed the tracks and came out to the forest guardhouse.
(52 words)
Solve the equation: 402 – x = 128
Task No. 2
5 bags contain 500 kg of salt. How much salt is in 7 bags?
Task3 Kindness
Kolya ran into the forest to pour grain into the feeder. He saw a weak deer in the snow. Nearby the fox was waiting for its prey. The boy drove the fox away. The deer sat in a snowdrift and stretched her head. Her eyes were sad. Kolya fed the deer and made a bed of branches. The boy brought salt and food to the beast. The deer walked timidly and licked the salt. She remained alive.
(54 words)
54 – (46 – 38) ∙ (85 – 79) =
Task No. 3
The sides of the rectangle are 12 cm and 6 cm. Find its perimeter and area.
Task 4
Find out the animal
A timid animal lives in our forests. In summer he wears a light gray fur coat. By winter, he changes it to a fluffy white one. She saves the animal from the frost. The poor guy has no home. What does the animal have for lunch? Bitter bark of aspen or birch. His long legs serve him well. The little coward runs away from her enemies with big leaps.
(52 words)
40 ∙ 7 – 200: 5 =
Problem No. 4
The store had 96 white carnations and 108 red ones. They made bouquets of 6 carnations each. How many bouquets did you get?
Task 5
Camel
Camel is a domestic animal. It has been serving the residents of the southern regions for a long time. They rode camels, carried bales with cargo, and plowed. The camel is strong and resilient. The king of the desert carries fat in his large humps. The fat serves him as food and drink on the way. After a long journey, the humps become thinner and hang down like empty bags. The animal will drink water and eat camel thorns. And again the humps are full of fat.(59 words)
Perform column calculations
864: 2 376: 4 693: 9
Problem No. 5
Pumpkin weight 4 kg. This is 2 times more than the mass of zucchini. What is the mass of zucchini and pumpkin together?
Task 6
Autumn in the forest
Golden autumn has arrived. Mushrooms grow along the edges of the forests. In the moss swamps, ruddy cranberries are scattered over the hummocks. On autumn days, songbirds fly south. The swallows and swifts have already flown away. Starlings gathered in noisy flocks. Cranes are leaving their native swamps. The farewell voices of birds can be heard far away in the forest.
(54 words) Sort out the words according to their composition: Blueberry, black, blackened, blackness.
Remember: units are units of the first category, tens are units of the second category, hundreds are units of the third category.
Write down the numbers in which:
1. 8 units of the first category, units of the second category are 2 times less than units of the first category, and units of the third category are 3 times less than units of the second category.
2. 9 units of the third category, units of the second category are 3 less, and units of the first category are 3 times less than units of the third category.
Problem No. 6
We bought 6 chairs for 7 rubles. and 3 armchairs. We paid 72 rubles for the entire purchase. How much does 1 chair cost?
Task 7
Be a friend
There are few anthills in the forests. They die at the hands of man. The man picked up the anthill and left. And it is difficult for small ants to restore their home. Thousands of forest pests are destroyed by ants over the summer. One day, a horde of caterpillars attacked an oak grove. They exposed the trees. And suddenly the caterpillars began to quickly descend. It was the ants that dragged them. Forest warriors saved the ship's timber.
(57 words)
78:26= 64:18= 56:4=
Problem No. 7
They paid 42 rubles for sausage, 2 times less for cheese than for sausage, and 5 times more for meat than for cheese. What is the cost of meat?
Task 8
Fishermen
The old man and the cat Epifan always fished together. The old man was fishing, and the cat was sitting next to him. The old man gave the small fish to the cat. One day Epifan was not around. The cat was on the rafts. The old man began to watch him. Epifan is lying on a log, dipping his paw into the water. A school of fish swam by. The cat picked one up with its claws and ate it! Now he is a fisherman himself.
(55 words)
56 – 3 ∙ (17 – 12) =
Problem No. 8
378 kg of carrots were collected from one bed, and 98 kg from the other. All the carrots were placed in bags of 7 kg each. How many bags did you need?
Task 9
Brave Deed
Kostya was getting ready to go to school. Suddenly he smelled burning. The boy looked around the apartment and went out onto the stairs. Streams of smoke were creeping from the neighboring apartment. A child's cry was heard. Kostya grabbed an ax and rushed to the door. The door collapsed. Smoke poured out. The child was lying at the threshold. Kostya grabbed the baby and ran out into the street with him.
(52 words)
72: 12 = 65: 13 = 84:7=
Problem No. 9
3 bags of flour, 48 kg each, were brought to school. It was consumed equally over 4 days, after which 32 kg of flour remained. How much flour did you use?
Task 10
apple lover
Along a narrow path I emerge into a clearing. A flock of blackbirds appeared on a mountain ash tree. In late autumn, moose appear here. There is an abandoned garden nearby. The trees withered and degenerated. There are no hunters for sour small fruits. But then I noticed a moose. He walked from apple tree to apple tree. With his soft lips, the forest giant grabbed the apples and ate them.
(50 words)
24: 4 + (90 – 89) ∙ 9 ∙ 6 =
Problem No. 10
There are 6 boys sitting in a row, and 2 times more girls. How many children are sitting in a row?
Task 11
Rare guest
The children lived with their grandfather in a forest lodge. In winter, Vitya built a birdhouse under the tree. Thick branches covered the feeder from the snow. They began to watch birds. A flock of goldfinches flew to the feeder. Suddenly a squirrel appeared at the feeder. The animal looked around and jumped onto the table. The rare guest deftly began to eat the berries.
(55 words)
3m=…..cm 4kg=……g 5h=……min
Problem No. 11
They brought 79 kg of cabbage to the stall, and 6 times more to the store. How many kilograms of cabbage were brought to the stall and the store together?
Task 12
The danger is over
Fields and forests are covered with a fluffy blanket. A cautious mouse ran across the snow. The tracks wind from mink to mink. They led to the river. Sleepy fish swim in the river. It is difficult for them to breathe under the ice crust. The fish swim to the ice hole. Crows are circling over the river. Trouble has come. People are making new ice holes. And a stream of air rushes under the ice. The fish is saved.
(55 words)
700 _506 _456
94 409 128
Problem No. 12
We bought 3 white carnations for 4 rubles and 5 red carnations. We paid 37 rubles for all the flowers. How much did 1 red carnation cost?
Task 13
In the winter forest
The sun illuminated the tops of the fir trees. Quiet in the forest. The branches of fir trees are covered with fluffy snow. The thin trunks of young birches bent under the weight of the snow. Suddenly the forest silence was broken by cheerful bird voices. It was a flock of crossbills flying overhead. These birds are amazingly beautiful. It was as if they were sprinkled with red beads on the top of the spruce tree. Crossbills deftly and quickly extract seeds from cones.
Write what the quotient and remainder are equal to:
26: 8 = … (rest. …) 49: 6 = … (rest. …)
Problem No. 13
There are 125 soldiers in 5 rows. How many soldiers are there in 7 rows?
Task 14
Swallows
Swallows are flying to us. They make nests above the windows under the roof and hatch chicks. The nests contain down and feathers for the babies. You will open the window in the morning and hear cheerful chirping. Agile birds catch their prey. They catch the bugs and fly to the nest to feed the children.
In autumn they fly to distant lands. There is no winter there. They spend all their time in the south while we have winter. Spring will come, and swallows will fly to old places.
(70 words)
670 – 120 + 80 – 20 =
Problem No. 14
The perimeter of the triangle is 39 cm. The length of one side is 17 cm, the other is 5 cm smaller. Find the length of the third side.
Task 15
Our friends
I love birds. It would be sad to live on the planet without them. Their marvelous plumage pleases the eye. Their wonderful singing pleases the ear. I love watching their easy flight. Swallows are circling quickly in the clear air. As they fly, they drink water and catch midges. They deftly make nests from earth and clay. In the fork of a branch you will notice an oriole's nest. It is made from grass, birch peel, and flexible stems.
(66 words)
401 +306 +578
97 609 328
Problem No. 15
Tourists traveled 228 km on the first day, and 3 times more on the second day. How many kilometers did the tourists travel in 2 days?
Task 16
That's the catch
One day I decided to go fishing. I stopped by the pond. A moose stood nearby. She marked time and did not leave. Then I spotted a moose calf in the muddy pond. The baby got stuck in the mud and couldn't get out. It was dangerous to help him. I approached the shore. The moose stepped aside. I brought the elk calf to dry land. He licked my cheek and ran to his mother. They quickly disappeared into the birch grove.
(68 words)
45 ∙ 5: 3 – (84: 7 + 19) + 70: 5 =
Problem No. 16
The width of the rectangle is 2 cm. What is the length if the perimeter is 12 cm?
Task 17
Tits
It's a wonderful winter day. Lovely birds are flying under my window. I look at the tits. Here they are sitting on the branches of a curly birch. There is a black cap on the head. The back, wings and tail are yellow. The bird seemed to have tied a tie on its short neck. Nice bird! The bird's beak is thin. Tits eat delicious lard. Happy for them.
(56 words)
Compare:
24: 6 … 24: 8 6 ∙ 7 … 9 ∙ 4 42: 6 … 54: 9
7 ∙ 1…0: 7 54: 6 … 56: 8 5 ∙ 1 … 0: 5
72: 8 … 27: 3 8 ∙ 4 … 6 ∙ 6 48: 8 … 63: 7
Problem No. 17
7 boxes contain 42 kg of plums. How many kg are in 12 of these boxes?
Task 18
Hourly
Young sparrows were jumping along the garden path. An old sparrow sat on a tree and looked around. A hawk has arrived. He wanted to grab the bird and eat it. The sentry saw the robber and began to follow. Sparrow chirped. The sparrows disappeared into the bushes. The hawk flapped its wings. The villain straightened his claws. He furiously rushed at the sparrow. The yellow eyes burned with fire. And the sparrow fell like a stone into the bushes. The hawk flew on.
(59 words)
48 – 72 ∙ (37 – 37) +12 =
Problem No. 18
The children went on an excursion on 2 buses of 20 people each and 5 cars. How many people are in each car if a total of 65 people went on the excursion?
Task 19
Little squirrel
In the forest, a little squirrel was jumping along the branches. In the clearing, she noticed a mushroom and jumped to the ground. Suddenly a fox jumped out of the grass.
The squirrel instantly flew up the trunk of the pine tree and hid under the very top of the head. The fox hid behind a bush. The squirrel jumped to another tree, but missed. She fell on a bush. The fox got scared and started running. And the squirrel jumped onto a pine tree and disappeared into the forest.
(62 words)
56:4= 70:14= 78:6=
Problem No. 19
There are 60 perfume bottles in 12 boxes. How many boxes are needed for 90 bottles?
Task 20
Bullfinch
The bullfinch is slightly larger than a sparrow. With a black cap on the head and a gray back. The bullfinch climbs tree branches well. Bullfinches sit on rowan or maple trees for hours. They can sit for a day. These birds eat seeds of coniferous and deciduous trees. In spring, bullfinches fly into the bowl. There, in the thick paws of spruce trees, on the branches of birch and pine trees, nests are made. Watch these interesting birds. (60 words)
90: 6 + 36 ∙ 2 + (89 + 49) =
Problem No. 20
Brought from one apiary 36 kg honey, and on the other, 2 times more. All the honey was poured into jars 4 kg in each. How many cans did you need?
Task 21
Walk in the woods
It's a wonderful winter day. There is a clear blue sky above us. Everything around is covered with fluffy snow. We entered the forest. The trees stand as if in a fairy tale. We noticed a spotted woodpecker on the trunk of a pine tree. He deftly hammers the bump. Tits and sparrows pick up seeds. Suddenly we saw a red squirrel. She quickly flashed among the trees. Bird tracks in the snow. Good in the forest!
(59 words)
800: 8 + 56 ∙ 4 =
Problem No. 21
In the vegetable department of the supermarket there are 90 nets of onions on display. Before lunch, customers had dismantled 65 nets and brought another 50 nets with onions into the sales area. How many nets of onions will there be in the vegetable department now?
Task 22
Fire
One day my grandfather went hunting. The forests were dry. There was smoke coming from the south. The smoke was getting thicker. It became difficult to breathe. A forest fire started. It is difficult to navigate in such smoke. Suddenly a hare jumped out. he dragged his hind legs. They were burned. Grandfather ran after the hare. Animals sense well where the fire is coming from and always escape. They ran out of the forest and both fell from fatigue. Grandfather brought the hare home. He healed his paws.
(67 words)
90 – 5 ∙ 8 + 35: 5 – 2 ∙ 9 =
Problem No. 22
15 bouquets contain 45 mimosas. How many mimosas are in 19 such bouquets?
Task 23
Nightingales
On the bank of a forest river in the bushes you can hear the most wonderful singer of our nature - the nightingale. He climbs into the dense thickets and begins to sing. Its magical sounds fill the entire neighborhood. The nightingale sings in the evening, and in May it often sings all night. A singing nightingale presses against a branch, stretches out to its full height, straightens, then folds its wings. His whole small body is shaking. There is no song more beautiful than the nightingale.
(63 words)
250 – 350: 7 + 608 =
Problem No. 23
Tourists have to walk 528 km. They had walked a sixth of the way. How many kilometers do they still need to walk?
Task 24
Swallows
The spring sun is shining joyfully. The swallows have arrived. Their cheerful songs carry far away. Swallows flew to the old house. It crumbled and fell apart. Every day the swallows carried straw, clay, and twigs in their beaks. The songbirds worked for a long time and made a good nest. Soon chicks with yellow mouths appeared. The cat found out about this. I decided to have some fun. The swallows began to distract him from the nest. They protect their chicks.
(61 words)
75 ∙ 0= 75:1= 75:75= 0:75=
Problem No. 24
The width of the rectangle is 7 cm, and the length is 2 cm more. What are its perimeter and area?
Task 25
Prankster
Katyusha has a kitten. He is white, his ears are black. The wool is soft. The eyes are burning with fire. the girl gave him the nickname Baby.
A funny kitten causes a lot of trouble. It will suddenly disappear. Katyusha will walk around the entire apartment, and he will run out onto the stairs. Grandma dozed off while knitting. The prankster began to roll the ball and wrapped it around the grandmother along with the chair. The Kid made everyone laugh.
(53 words)
4km= ……….m 6min=…….sec
Problem No. 25
This morning there were 100 bunches of dill in the vegetable department of the supermarket. An hour later, 80 bunches were sold. Another 75 bunches were brought into the sales area. How many bunches of dill are on supermarket shelves now?
Task 26
Agapka
I had a cat named Agapka. One day a toy fell off the shelf. It was a dog. The cat got scared and hid in the closet. I started a toy. The dog turned its head and wagged its tail. Agapka took the toy and carried it to the kitchen. There was milk in the cup. The cat decided to feed the dog. He began to poke her nose into the milk.
(52 words)
10 + 90 – 45: 9 + 6 ∙ 4 =
Problem No. 26
A worker needs to produce 455 parts. In one day he made a seventh of all the parts. How many parts does the worker have left to make?
Task 27
A sip of milk
Lada got sick. A cup of milk stood near her nose. She didn't drink. I sat down next to him. The dog raised its head and wagged its tail. I stroked her. From the affection, life began to sparkle in her eyes. I moved the cup. She started drinking milk. My caress added strength to her. Those few sips of milk saved her life.
(52 words)
7 ∙ (71 – 64) + 15 =
Problem No. 27
There were 15 passenger cars in the yard, and 3 times fewer trucks. How many trucks and cars were parked in the yard?
Task 28
Fluff
There was a hedgehog living in the house. It was manual. We often pet the hedgehog. He pressed the thorns to his back and became soft. We named him Fluff. If Fluffy wanted to eat, he would chase me. The hedgehog puffed, snorted and bit his legs. So he demanded food. I often took him to the garden. He ran along the path and caught bugs.
(57 words)
x560 x306 x 567
7 3 2
Problem No. 28
The width of the rectangle is 1 cm. What is the length if the perimeter is 14 cm?
Task 29
Rook - spring bird
It's warmer. The sun warms the earth. The first thawed patches appeared. The rooks have arrived - the messengers of spring. They spent the winter in warm regions. Now they are rushing north, to their homeland. Dozens of birds die on the way to their native places. The strongest fly. Here are the black birds walking importantly behind the tractor. With strong beaks they pull worms out of the ground.
(49 words)
700 -400 - 560
340 10 2 334
Problem No. 29
In June, the housewife salted 15 jars of sorrel for the winter. The children persuaded them to cook green borscht, and the hostess opened 3 jars in July. In August, she salted 9 more jars. How many jars of sorrel does the housewife pickle for the winter?
Task 30
Flower clock
You can tell the time by the colors. Early summer morning. By six o'clock the blue bell opened its eye. The dandelions raised their golden heads. The delicate flowers of the wild carnation are turning red. Next, the wild rose spreads its wide petals. A bright poppy light flashed. By eight o'clock a yellow water lily and a white lily bloomed. The heat is subsiding. Fragrant tobacco and meadow drowsiness are blooming. Plant flower clocks in your flower beds. They will show the exact time.
(60 words)
5 + 72: 8 ∙ (28 – 19) – 50 =
Problem No. 30
For the renovation, we bought 5 cans of white paint, 3 kg each, and several cans of brown paint, 4 kg each. In total we bought 27 kg of paint. How many kg of brown paint are in one can?
YOU SHOULD KNOW IT!
1 km = 1000 m 1st century = 100 years SQUARE PERIMETER
1m = 100 cm 1 year = 12 months. S = a · b P=a+a+b+c
1m = 10 dm 1 day. = 24 hours a = S : in Р=а·2+в·2
1 dm = 10 cm 1 h = 60 min in = S: a Р=(а+в)·2
1 cm = 10 mm 1 min = 60 s P = a · 4
1dm=100mm
1kg =1000
KNOW DICTIONARY WORDS
paragraph newspaper picture insects drawing
chord horizon kilogram lunch north
neat peas team back now
alley grammar collection clothes tit
appetite length computer nut lilac
aroma valley basket spelling again
luggage goodbye bed aspen conscience
drum yeast crossword rest at all
pool woman sneakers from there glass
swamp burns lemon platform happiness
as if the stairs were buzzing across the plate
carriage yellow shovel scarf telegram
bath breakfast tangerine tomato territory
up west slowly then terrace
wind hare month because comrade
vinaigrette illustration subway rule trolleybus
along frost millimeter holiday surname
together art man nature feeling
station as if forever highway program
forward cocoa back profession driver
the calendar always went the other way
Lesson #1
Topic "Incoming control"
8 rosehip bushes bloomed in the alley, and rose bushes
3 more. How many rose bushes and bushes are there?
rose hips bloomed in the alley?
The bouquet contains 15 dandelions and 8 cornflowers. How much more
dandelions than cornflowers?
The girls had 12 pencils, 6 more felt-tip pens, and as many wax crayons as there were pencils and felt-tip pens together. How many crayons did the girl have?
The trainer showed the performance of 22 predators: 14 tigers
and several lions. How many lions performed in the circus arena?
The beekeeper had 15 jars of linden honey and 17 jars of buckwheat honey prepared for sale. He sold 24 cans. How many jars of honey does the beekeeper have left to sell?
23 water lilies bloomed on the pond: 18 yellow water lilies, and
the rest are white. How many more yellow than white?
water lilies bloomed on the pond?
The girl solved 17 problems, and her friend solved 2 problems less. How many problems did the girlfriends solve in total?
Lesson #2
Topic: “Solving simple reciprocal problems”
Of the 17 kids that were in the pen, 9 kids were released into
yard How many kids are left in the pen?
Compose and solve two problems that are the inverse of this one.
There were 5 kids and 13 lambs in the yard. How many fewer kids are there than lambs?
Compose and solve two problems that are the inverse of this one.
When the cook gave out 37 pies to the children, there were still more
Pie. How many pies were there at first?
Compose and solve two problems that are the inverse of this one.
Over two days, the students bound 45 books from the library. On the first day, 21 books were bound. How many books did the students bind on the second day?
Compose and solve two problems that are the inverse of this one.
80 spectators came to the theater for the akyn competition. 54 of them
We bought tickets, but the rest didn’t have enough tickets. How many
Person left without tickets?
Compose and solve two problems that are the inverse of this one.
There are 30 students in one class, and 5 more students in the second. How many students are there in second grade?
Compose and solve two problems that are the inverse of this one.
“How many girls are there at the skating rink?”
*Make up a problem on this issue:
“How many wristwatches are sold in the department?”
Compose and solve two inverse problems.
Lesson #3
On the bridge, the guys watch the ice drift. In an hour under
42 ice floes floated across the bridge: 13 large ones, and
the rest are small. What kind of ice floes?
swam more and by how much?
Compose inverse problems.
The tourists traveled 45 km by bus and walked 37 km less. How far did the tourists travel on foot?
Compose inverse problems.
Compose inverse problems.
27 yellow dragonflies frolicked on the lawn, and green
34 more. How many green dragonflies frolicked on the lawn?
Compose inverse problems.
Compose inverse problems.
There are 65 meters of wire in the store. After that
As part of the wire was sold, 18 meters remained.
How many meters of wire did you sell?
Compose inverse problems.
For the holiday we bought 26 green and 35 red balloons. How many fewer green balls did you buy?
Compose inverse problems.
A bottle of oil weighs 470 grams, and an empty bottle weighs 150 grams. How much does oil weigh?
Compose inverse problems.
9.*Make up a simple problem based on the picture, solve and form the inverses.
43 kg 38 kg
Lesson #4
Topic: “Solving reciprocal simple problems”
28 athletes went on a hike from the sports camp. There are 20 left in the camp. How many athletes were in the camp in total?
Compose inverse problems.
The store received 71 cars with potatoes and cabbage
14 cars less. How many cars with cabbage
got the store?
Compose and solve inverse problems.
62 boxes of apricots and 37 boxes of plums were sent from the warehouse to the store. How many more boxes of apricots than plums were sent to the store?
Compose and solve inverse problems.
There were bushes growing in the school garden
50 peonies, and 42 lilies. How many bushes
peonies and lilies growing in the school garden?
Compose and solve inverse problems.
There were X coats in the store. When a certain number of coats were sold, there remained B coats. How many coats did the store sell?
Compose inverse problems and solve.
46 modern computers and 34 new televisions were purchased for the school. Come up with a question and solve a problem.
Compose and solve inverse problems.
Lesson #5.
Subject “Solving simple problems that reveal the meaning of multiplication and division”
There are 10 spools of thread in the box. How many spools of thread are there in 3 of these boxes?
Dad bought 3 bags of potatoes, 3 kg each. How many kilograms of potatoes did mom buy?
The student wrote 4 sentences of 3 words each. How many words did the student write in total?
5 boats left the pier. Each boat has 5 people. How many people are in the boats?
In physical education class, children lined up in 3 rows of 8 people. How many people were in the physical education class?
There are 6 peas in one pod. How many peas are in 3 of these pods? at 4? v5?v6?
Place 8 squares into 2 groups, 2 squares each. How many such groups were there?
12 bulbs were planted in pots, 3 bulbs in each. How many pots did you need?
Divide 18 pencils equally into 3 boxes. How many pencils are in each box?
10. A 12 cm strip of paper was divided into 2 cm pieces. How many pieces were there?
18 kg of flour were poured into bags, 3 kg each. How many packages did you need?
12. For 9 rubles we bought 3 meters of the same fabric. How much does 1 meter of this fabric cost?
Compose problems using pictures
Lesson #6.
Topic: “Solving simple problems that reveal the meaning of multiplication and division”
- ?
How many rows did you get?
The boys dug up 6 rows of apple trees, 3 apple trees in each row.
row. How many apple trees did the boys dig up?
In the park, the guys planted rows of Christmas trees. In every
There were K Christmas trees in a row. How many Christmas trees did the guys plant?
Lesson No. 7.
1. There are 3 small pans on the store counter, and twice as many large ones. How many large pots are there in the display case?
2. In an hour, the pharmacy sold 14 bottles of cold drops, and 2 times less cough syrups. How many cough syrups did the pharmacy sell in an hour?
3. There were 5 juicers on the counter, and 3 times as many food processors. How many food processors were there on the counter?
4. Slavik dives 2 meters deep, and the dolphin, in pursuit of fish, dives 10 times deeper. How deep does a dolphin dive?
5. When tested according to traffic rules, Vasya was able to answer 24 questions, while Kolya had 3 times fewer correct answers. How many fewer correct answers does Kolya have?
6. During training, one weightlifter lifted the barbell 9 times, and the second lifted it 6 times more. How many times did the second weightlifter lift the barbell?
7. The handball team scored 24 goals and conceded 6 fewer. What was the score?
8. The weight of the foal is 45 kg. And the piglet is 9 times smaller. What is the mass of the pig?
9. During training, the figure skater did 9 triple jumps and 5 times more pirouettes. How many pirouettes did the skater perform during training?
10. A water diver spent 8 days inventing his jump, and trained in its execution for 9 times as many days. How many days of training did it take to learn how to perform the jump?
*Make up problems based on drawings on the topic “Dishes”
a) 4 times less
b) 3 times less
V)
Lesson No. 8.
Topic: “Solving problems with ratios of….times greater/less.”
We bought 24 small balls for the kindergarten, and 4 times fewer large ones. How many big balls did you buy?
We bought 24 small balls for the kindergarten, and 4 fewer large ones.
How many big balls did you buy?
8 kg of zucchini were collected from one plot, and 3 times more from another. How many zucchini were collected from another plot?
The length of the beads is 36 cm, and the bracelet is 4 times shorter than the beads. Find the length of the bracelet.
Sasha is 8 years old, and her mother is 5 times older. How old is mom?
The fisherman caught 36 perch, and 9 times less ruff. How many ruffs did the fisherman catch?
The school workshop had 4 machines, and 6 times more sets of tools. How many sets of tools were there in the workshop?
Before lunch we bought 12 packs of vitamins, and after lunch we bought 2 times less. How many packs of vitamins were sold after lunch?
The children's cafe bought 9 fruit bowls, and 3 times more sets of dishes for dessert. How many dish sets did you buy for the children's cafe?
We bought 7 vacuum cleaners for the hotel, and 4 times more refrigerators. How many refrigerators did you buy for the hotel?
Make up problems based on drawings on the topic “Pharmacy”
A)
Zelenka iodine
b)
pepper plaster corn plaster
V)
Bandage cotton wool
Lesson No. 9.
Topic: “Solving problems with ratios of….times greater/less.”
1.Vasya counted the fish in the aquarium. He counted 8 swordtail fish, and 3 times more gouramis than swordtails. How many gourami did Vasya count?
2. The potter sculpted 25 kittens from clay, and 5 times fewer cockerels and whistles. How many cockerels and whistles did the potter sculpt?
3. There are 56 trucks at the car depot, and 8 times fewer cars. How many cars are there in total?
4. The onion harvest was 36 kg, and the garlic was 4 times less. What is the garlic harvest?
5. There were 9 boys in the school choir, and twice as many girls. How many children sang in the choir?
6. There are 40 pears in the basket, and 5 times less on the plate. How many pears are on the plate and in the basket?
7. The fisherman caught 7 perches, and 5 times more crucian carp. How many fish did the fisherman catch in total?
8. There are 3 balls in the gym and 8 times more jump ropes. How many jump ropes and balls are there in the gym?
9. During a training session, a boxer punched a punching bag for 45 minutes, and spent 9 times less time shadowboxing. How long did the shadowbox last?
10. The archer usually shot a series of 10 arrows, but today he shot 4 times as many. How many arrows did the shooter shoot today?
Make up problems using the table on the topic “Household Appliances”
Juicers
fry
Food processor
Electro
kettle
iron
TV
video recorder
player
electric meat grinder
mixer
vacuum cleaner
Refrigerator
Nick
Lesson No. 10.
Topic: “Solving problems with ratios of….times greater/less.”
stadium, and in the evening 3 more laps. How many laps
did the athlete run in the evening?
A) There are F times more girls in the school orchestra and P times more boys. How many children are there in the school orchestra?
B) There were N liters of gasoline in the car’s gas tank; after the trip, there were K times less left there. How much gasoline did you use during your trip?
B) We bought E meters of wool, and A times more silk. How many meters of silk did you buy?
D) The translator had C dictionaries of the German language, and G times less Spanish. How many Spanish dictionaries does the translator have?
D) The length of the vegetable garden is M meters, and the width is P times less. What is the width of the vegetable garden?
Lesson No. 11.
hamsterHow many peas does a hamster have?
The bear cub slept for 84 days in winter. This is for 16 days
less time than his grandfather slept. How many days did it last
grandpa's dream?
45 planes landed at the airfield per day, which is 16 more,
what took off from him. How many planes took off from the airfield?
The river bus carried 280 passengers down the river,
which is 90 fewer passengers than it carried in
reverse side. How many passengers did the tram carry?
for both flights?
has Petya?
There are 80 ordinary cars in the garage,
which is 4 times less than all-terrain vehicles. How many all-terrain vehicles
is it in the garage?
There are 15 regular buses with gasoline engines running on the streets of the town, and 3 times less with diesel engines. How many city buses consume diesel fuel?
*Make up problems based on letter data
A) There were P boys at the skating rink, which is Y times more than girls. How many girls were there at the skating rink?
B) One book has K pages, which is D times less than the second. How many pages are in the second book?
C) One pine tree has K cones, which is D times more than the second pine tree. How many cones are there on the second pine tree?
Lesson No. 12.
Topic “Problems in indirect form”
which is 20 more than the number of mushroom pickers who arrived.
How many mushroom pickers came to the lake shore?
There are 85 on display at the newsstand.
names of newspapers. Their number is 21 more than the number of journal titles. How many magazine titles are there in the kiosk?
A duckling becomes an adult duck in 66 days, which is 12 days faster than a gosling. How many days will it take for a gosling to grow up?
The weight of the bear cub is 76 kg, which is 21 kg more than the weight of the hippopotamus. What is the mass of a small rhinoceros if the hippopotamus is 18 kg lighter?
The ocean aquarium holds 570 liters of seawater. This is 3 times more than a river aquarium can hold in fresh water. How many liters of water are in a river aquarium?
The production controller removed 800 unusable products. This is 8 times more than the number of defective products that he missed. How many defective products did the inspector miss?
During the big break, the school canteen sold 260 pies with peas, which is 158 less than pies with jam. How many jam pies were sold?
A drawing set costs 80 rubles, and a modeling set costs 4 times more. How much does a modeling kit cost?
There are 84 mechanical watches on the store counter, and 4 times more electronic ones. How many electronic watches are there on the store counter?
One book on biology talked about 30 species of animals, which is 3 times less than in the second book. How many types of animals were told about in the second book?
A) How many ducks were there in the swamp?
B) How many swimmers were there?
Q) How many melons were loaded into the truck?
Lesson No. 13.
Topic “Problems in indirect form”
48 bolts, which is 38 less than screws.
How many screws were screwed into the wall when
assembly?
Schoolchildren bought 53 simple
pencil, which is 16 more than
colored. How many pencils did you buy in the store?
Make up problems based on letter data.
A) The tourists took stew and condensed milk on the hike.
There was stew and cans. This number
by K exceeded the number of cans of condensed milk.
How many cans of condensed milk did the tourists take?
Lesson No. 14.
Topic: “Solving compound problems of increasing/decreasing
several times "
increases by 5 times. What is his body weight after a year?
there were 3 times less than boys. How many children are there in total?
took part in competitions?
One crow got into the habit of carrying them. It will fly and grab it
a couple of coins - and to your nest. The crow flew in 5 times.
How many coins did she take?
Dunno's friend Donut, when he's hungry, he has enough for every
hand over the donut and eats both at once. Once he’s finished, he grabs a couple of donuts again, and so on until he’s full. How many donuts did the hungry Donut eat if he approached y 6 times?
Lesson No. 15.
Topic: “Solving compound problems on difference and
multiple comparison of numbers »
How many more crabs than fish live in
lagoon?
The mass of a melon is 8 kg, and a pumpkin is 32 kg heavier. In
How many times is a pumpkin heavier than a melon?
While playing tic-tac-toe, Mishutka wrote 56
there are 7 times fewer crosses and zeros. How long
were there fewer crosses written?
bushes 16 bushes each and 8 rows of white
rose bushes, 12 bushes each. How long
there were more white rose bushes than red ones growing in
greenhouse?
The mass of three boxes of plums is 36 kg, and of two boxes of pears is 48 kg. How many times heavier is a box of pears than a box of plums?
Lesson No. 16.
The housewife uses 2 kg of potatoes in 1 day. How many kg of potatoes does she use in 7 days?
boxes need to be taken to get 18 cans of juice?
Three cans of paint were enough to paint 15 benches
in the park. How many cans of paint do you need to take to
paint the other 35 benches?
How many bottles of water does it take to fill?
80 glasses?
boxes to accommodate 12 of the same balls?
There are 21 flowers in 3 bouquets. How many colors are there in 6 of these?
or bouquets?
From 30 kg of sugar beets, 6 kg of sugar were obtained.
How much sugar beets do you need to take to
get 3 kg of sugar?
Lesson No. 17.
Topic: “Solving compound problems involving reduction to unity”
eggs?
36 meters of satin were used for 12 shirts. How many
Can these shirts be made from 54 meters of satin?
every row. How many athletes are there in 4 of these?
rows?
From 51 meters of fabric you can sew 17 identical
dresses.How many meters of fabric will be used for 13
the same dresses?
How many of these suits can be made from 44 meters
fabrics?
A worker processed 210 parts in 3 hours. How many
will he process the parts in 6 hours at the same production rate?
64 buckets of water were prepared for watering the garden. 6 buckets of water were poured onto each bed. How many buckets of water are left if you watered 8 beds?
Lesson No. 18.
Topic: Problems on finding a part of a number. Shares."
segment? The school has 600 students. 1/5 of this
numbers are excellent. How long is school?
excellent students?
The cyclist traveled 12 km, which is
1/4 of the intended path. How many km should
pass a cyclist?
A homing pigeon flies 92 km per hour.
How many kilometers does it fly in 1/4 hour?
In 1/10 part of a cob of branched corn
93 grains. How many grains are there in a whole cob?
10. There are 150 varieties in the world
sharks, but only 1/5 of them attack humans.
How many types of sharks will attack humans?
11. A camel lives 40 years. He spends 1/5 of his life growing. How long does it take for a camel to grow?
12. In ancient Rome, competitions were held for 1/3 of the year. How many months a year did the competition last?
Lesson No. 19.
Topic: Problems on finding a part of a number. Shares. »
The bowhead whale weighs 150 tons, and the weight of the Indian elephant
makes up 1/30 of its weight. How much does an Indian elephant weigh?
The Black Sea is home to the lineus worm, which is 50 cm long. whale
This is 1/30th the length of a worm living off the coast
Atlantic. What is the length of the lineus that lives in
the shores of the Atlantic?
Life expectancy of a horse is 25 years, 1/5 part
life he grows. How long does it take for a horse to grow?
The body length of the lyrebird is 40 cm, it is 1/2 the length of the lineus
tail How much shorter is the lyrebird's body than its tail?
A cyclist covers 1/7 of the distance in an hour.
How many hours will it take him to travel the whole distance?
The cat hunted the mouse for 1/15 hours. What time is it cat
hunted a mouse?
The length of the rectangle is 12 cm, the width is 1/4 part
body length. What is the sum of the sides?
90 chairs were brought to the school. 1/3 of the chairs were placed with a lyrebird
to the hall 42 chairs were placed in the classroom, and the rest in the cafeteria. How many
Did you put chairs in the dining room?
24 gymnasts took part in the school festival. Of these, 1/3 are girls, and the rest are boys. How many boys took part in the celebration?
Make up problems based on letter data
Lesson No. 20.
Complete the table by completing the solutions.
Width
Length
Perimeter
Square
3cm
5cm
9 cm
4 cm
4cm
28 cm 2
18dm
48dm
15 cm
40cm
6cm
3 times more
12cm
5 cm
20cm
10cm
8dm
4dm
18mm
9mm
2. Children covered rectangular frames 30 cm long and 20 cm wide with colored tape. Find out how much tape will go to one frame if 2 cm is added to each corner.
3. The width of the rectangle is 9 cm, which is 12 cm less than the length. Calculate the sum of the sides of the rectangle and the area.
The length of the rectangle is 8 cm and the width is 2 times less. Calculate the perimeter and area.
Lesson No. 21.
Topic: “Solving problems of finding perimeter and area”
10.*Length and width of the rectangle
Together they are 16 mm. What is the length
and the width of the rectangle, if
Is the width 3 times shorter than its length?
11.The length of the vegetable garden is 70 dm, and its width
2 meters shorter. A ditch was dug around the garden at a distance of 2 meters. Find its perimeter.
Make up problems based on letter data
The side of the square is x cm. What is its perimeter. Find the area.
The length of the rectangle is Rcm, and the width is B cm shorter. What are the perimeter and area equal to?
The plot of land has the shape of a rectangle, the width of which is B meters, and the length is P meters more. It is surrounded by wire in X rows. How many meters of wire were needed?
Lesson No. 22.
Topic “Compound tasks”
1.Mom poured 27 liters of apple juice into three-liter jars and 4 liters into two-liter jars. How many cans did you get?
2. Valya has 5 envelopes with postcards, 8 in each envelope. She gave her friend 9 cards. How many cards does she have left?
3. 24 kg of onions were collected from the first bed, and the same amount from the second. All the onions were divided equally into 8 grids. How many kg of onions are in each net?
4. Three meters of fabric were cut from a roll of fabric for three customers.After which there were 25 meters left in it. How many meters of fabric were there?
on a roll?
5. The sewing workshop had 30 meters of raincoat
for each cloak 4 meters, then 18 meters remain.
How many raincoats did you sew?
6. To prepare the solution, the builders took 6 kg of cement and 4 times more sand. How much building material did you prepare?
7. There were 17 kg of melons in the stall. They brought 7 more melons, 4 kg each, for sale. How many kg of melons should I sell?
8. A crow can live 40 years, and a falcon can live 3 times longer. How many years can a falcon live longer than a crow?
9. Two machines replace the labor of 18 people. How many people's labor is replaced by 8 machines?
10. The mass of a plum is 20 grams, the mass of a pear is 80 grams. What is the mass of 5 plums and 6 pears together?
11. Valya has 12 yellow balls. This is 4 times more than green ones. How many fewer green balls does Valya have?
Compose problems based on known questions***
How many more berries does Masha have?
How many pairs of skates were imported?
Lesson No. 23.
Topic “Compound tasks”
Skates were brought to the store. At the end of the day there were 21 pairs left, and they sold 3 times less than what was left. How many pairs of skates were imported?
To decorate 5 cakes, you need 35 strawberries. How many cakes can you decorate if there are 14 strawberries left?
8 children hid from the rain under 4 umbrellas. How many children can 9 umbrellas save from the rain?
54 kg of apples were placed in 6 boxes. How many more boxes will be needed to arrange 28 kg of remaining apples if each box holds 2 kg fewer apples?
The ship went up the river for 24 days, and came back down 4 times faster. How many days did the voyage there and back take?
There were 45 ships in the port. How many of them were left when 6 detachments of 4 ships each went to sea?
The carver carved 48 wooden spoons in 6 hours, and his students carved 12 of the same spoons in 3 hours. How many times more spoons does a carver carve in 1 hour than his apprentice?
King Richard the Lionheart had 342 castles. During the Crusade, he increased his possessions by 1/3. How many castles did the glorious King Richard have when he got married and received another 50 castles as a dowry?
Nina grows indoor plants. She has 30 violets growing at home. There are 2 times fewer cacti, and 12 fewer geranium bushes than cacti. How many indoor plants does Nina grow?
Make up problems based on letter data.
worms X fish also took part in fishing, dragging
at Leopold's?
Lesson No. 24.
One day 6 beetles found nail polish and painted it on their own.
paws manicure. How many claws did they paint?
In the boats of the "roller coaster", each of which
accommodates 6 people, 42 girls and 54 boys sat. How many
did they need all the boats?
portions?
The teacher has 180 notebooks on her desk to check.
She checked 3 packs of notebooks, 29 pieces each.
How many notebooks does she have left to check?
There are 100 vitamins in a pharmacy package. Grandmother
I took 2 vitamins 3 times a day for 15 days.
How many vitamins are left after this?
In one day, the seamstress sewed 3 pockets on 18 men's jackets and 4 pockets on 15 women's jackets. How many pockets did the seamstress sew on men's and women's jackets?
One bag contained 75 kg of sugar, and the other had 10 kg less.
Sugar from these two bags was packaged in bags of 2 kg each.
How many packages did you get?
Compose a problem on a well-known question.
How much do all the cheesecakes weigh if one cheesecake weighs 150 grams?
Lesson No. 25.
Topic: “Problems of different types on multiplication and division”
The newsstand has 150 newspapers and magazines. A tenth of these printed publications are children's magazines. How many newspapers and adult magazines are sold at the kiosk?
The package contains 240 vitamin tablets. The son drank 1/4 of all the vitamins in a month, and the rest was taken by the parents. How many vitamin pills did your parents take?
There are 27 artists in the dance group of the song and dance ensemble. This makes up a fifth of the entire ensemble, the rest sing. How many artists are in a vocal group?
The school has 20 windows decorated with stained glass. This accounts for 12th of all windows in a school building. How many windows in the school do not have stained glass?
There are 142 students in all third grades of the school. This represents 1/4 of all primary school students. How many students are there in primary school?
Dad bought his daughter 4 vanilla cheesecakes, and chocolate-covered cheesecakes were 2 times less. How much do all the cheesecakes weigh if the weight of one cheesecake is 150 grams?
70 kg of cherries were distributed for storage. 12 kg were left in the refrigerator, and the rest was scattered into 2 kg bags and hidden in the freezer. How many bags of cherries were in the freezer?
As of February, 240 people bought a pool pass. On weekdays, 6 groups of 16 people each train, the rest of the groups train on Saturday and Sunday. How many people bought a “weekend pass”?
The schoolchildren collected 160 kg of carrots from one site, and twice as much from another. They used a quarter of all the carrots to feed the rabbits. How many kilograms of carrots did you use to feed the rabbits?
We bought 80 pairs of skates for the children's playground, and 3 times more skis. How many fewer pairs of skates were purchased than skis?
There were 94 cans of canned food in the store. Before lunch we sold 16 cans, and after lunch 4 times more. How many cans of canned food did you buy?
17 white acacia bushes were planted in the garden, 2 times more rose hips, and 19 more jasmine bushes than acacia and rose hips together. How many jasmine bushes did you plant?
Make up a problem based on letter data
The fishermen caught M trout, but N less carp. How many times fewer carp were caught than trout?
Lesson No. 26.
Topic “Problems with quantities”
Olya paid 900 tenge for 9 identical envelopes. And Katya bought 10 envelopes, which are 5 tenge cheaper. How many tenge did Katya pay for the purchase?
Kairat has 800 tenge. He bought 3 notebooks for 36 tenge and 2 pens for 45 tenge. How many tenge does Kairat have left?
When Kolya bought 2 notebooks for 46 tenge and three pencils for 15 tenge, he had 34 tenge left. How many tenge did Kolya have?
Mom had 2000 tenge. For her daughters, she bought 2 hats for 425 tenge. How many tenge does she have left?
For two children's T-shirts they paid 734 tenge, and for 3 children's panama hats 546 tenge. How much more tenge is one T-shirt than a Panama hat?
Asya had 980 tenge. She bought a photo album for 420 tenge and several notebooks for 40 tenge. How many notebooks did Asya buy?
Two girls bought 10 erasers at the same price. One paid 64 tenge, the other 16 tenge. How many erasers did each girl buy?
Mom bought 5 spoons and 8 forks at the same price. Mom paid 350 tenge for the spoons. How many tenge do forks cost?
For two kg of sugar they paid 360 tenge. How many kg of sugar will be bought for 900 tenge
Mom bought several cabbage pies for 35 tenge and the same number of meat pies for 55 tenge. She paid 140 tenge for cabbage pies. How much did the meat pies cost?
Luda bought 7 hairpins and 4 pins at the same price. She paid 175 tenge for the hairpins. How much did Luda pay for the pins?
Grandma bought 3 meters of silk for 230 tenge and 2 meters of gauze. She paid 1000 tenge for the entire purchase. How much does a meter of gauze cost?
A) for 15 tenge b) for 75 tenge c) for 3 tenge
The grandmother knitted scarves and mittens for her grandchildren. In total she knitted 3 scarves and 6 mittens. How many grandchildren does grandma have? Please indicate the correct answer.
A) 3 b) 6 c) 9
Lesson No. 27.
Topic “Problems with quantities”
Vova and Seryozha bought 8 tulips at the same price.
Vova paid 300 tenge for the tulips, and Seryozha 180 tenge
How many tulips did each person buy? th boy?
Two cafes bought 9 sets of knives at the same price. One
paid 360 tenge for the sets, and 450 tenge for the other. How many
Did every cafe buy sets of knives?
will they be able to buy if one robot costs 40 tenge?
Two dressmakers bought 9 boxes of pins at the same price.
price. One paid 180 tenge for the pins, and the other 360.
How many boxes of pins did each dressmaker buy?
Gera has 180 tenge, and Pavlik has 300 tenge. How many soldiers
will they be able to buy if one soldier costs 60 tenge?
Asya has 360 tenge, and Vitya has 540 tenge. How many toy watches can they buy for their friends for the holiday if one watch costs 450 tenge?
At the beginning of the school year, Dima bought two notebooks for 140 tenge and 5 pens. He paid 655 tenge for the entire purchase. How much does one pen cost?
Marina and Sveta bought 4 packs of markers at the same price. Marina paid 750 tenge for the markers, and Sveta 250 tenge. How many packs of markers did each girl buy?
We bought 8 newspapers for 65 tenge and 3 magazines. We paid 970 tenge for the entire purchase. How much does one magazine cost?
Compose tasks using tables
Price
Quantity
Price
Peas
25 tenge
5 packets of seeds
?
Beet
40 tenge
3 packets of seeds
A)
Price
Quantity
Price
?
6 notebooks
72 tenge
?
96 tenge
B)
Lesson No. 28.
Topic: “Solving problems by composing an equation”
One house has 4 entrances. How many entrances are there in 12 similar houses?
How many cows will give 90 liters at the same milk yield?
milk?
There are 15 fish in the aquarium. How many aquariums do you need?
for 90 fish?
one bucket?
There are 40 buttons on 4 identical dresses. How many
buttons on one dress?
The two bags contained the same number of pears.
When 9 pears were added to the second bag, the quantity
pears in both packages became equal to 36. How many
were there pears in each package?
The price of the cake is 40 tenge. How much do 6 of these cost?
cakes?
The price of one bun is 35 tenge. How many buns
can I buy it for 105 tenge?
One barrel contains 135 liters of kvass. How many barrels
do you need kvass for 540 liters of kvass?
240 students signed up for the school summer camp.
They were distributed into 8 squads. How many children are in one squad?
There were 50 birch trees in the park. After the autumn planting there were 75 of them. How many birch trees were planted in the autumn?
The boy has read 18 pages of the book, he has 77 pages left to read. How many pages are in the book?
Lesson No. 29.
Topic: “Solving problems in different ways”
45 white and 35 red roses were brought to the flower shop. From all the flowers we made bouquets of 5 roses each. How many bouquets did you get?
Grandfather has 12 black and 16 white rabbits in his barn. They were all placed in cages, 4 rabbits in each. How many cells were needed?
One squad of the Sinegorye summer camp has 27 children, and the other has 21 children. For the excursion to the Reserve, the children were divided equally into 3 groups. How many children are in each group?
There were 45 girls and 35 boys at the camp. They were placed equally in five rooms. How many people were placed in each room?
4 people live in four rooms of the Sinegorye camp, and 5 people live in 3 rooms. How many children are there in these rooms?
To make jam, we bought 6 kg of sugar, then another 3 kg. How many tenge did you pay if the price of 1 kg of sugar is 170 tenge?
27 tons of grain were loaded equally onto 9 vehicles. How many tons of grain will be loaded onto 5 such vehicles?
The girl found 36 mushrooms, and the boy 28. Among these mushrooms, 3 turned out to be inedible. How many edible mushrooms did the children find?
The piece contained 32 meters of fabric. They sold 6 meters of it to one buyer, and 8 meters to another. How many meters of fabric are left in the piece?
One book has 36 pages and the other 48. In how many days can you read both of these books if you read 12 pages every day?
The store sold 1 ton of sugar in three days. On the first day we sold 300 kg, on the second day 2 times more than on the first. How many kg of sugar were sold on the third day?
For the hike, tourists purchased 96 cans of canned food. They used 8 cans a day. How many cans of canned food will they have left after 10 days?
A challenge of ingenuity. *****
“Here are three tablets for you,” said the doctor. “Take one every two hours.” How long before the last pill is taken?
Compose a problem using the expression: 9 10 + 10 8
Lesson No. 30.
Topic: “Solving problems in different ways”
The sewing workshop received 300 meters of woolen fabric. You need to sew 100 identical suits from it. We used 120 meters. How many costumes are left to sew?
The store sold 1 ton of cereal in three days: on the first day they sold 300 kg, on the second day - 2 times more than on the first. How many kg of cereal were sold on the third day?
There were 3 pieces of tulle in the workshop - 92 meters in total. The length of the first bush is 23 meters, the length of the second is 39 meters. How many meters of tulle are in the third piece?
The girl brought 27 carrots in one bag for the rabbits, and 18 carrots in the other. She put all the carrots in cages, 9 carrots in each?
We connected three hoses and got a hose 25 meters long. The length of the first hose is 8 meters, and the second is 9 meters. How long is the third hose?
There are 385 residents in three buildings. There are 134 residents in the first house, 117 in the second. How many residents are there in the third house?
Each suit was sewn with 4 large and 6 small buttons. How many buttons are needed for 8 such suits?
Water was used daily to water the beds: 3 buckets in the morning, 6 buckets in the evening. How many buckets of water were used for irrigation in 4 days?
The children were picking strawberries in the forest. Six children picked up 25 glasses of strawberries, and the same number of children picked up only 19 glasses. How many glasses of strawberries did you collect?
A challenge of ingenuity.****
After a day spent on duty in the hospital, the doctor decided to get some sleep and went to bed at 8 o’clock in the evening. The next day he had to be in the hospital again by 11 o'clock in the morning. So he set the alarm clock to 10 o'clock. How long will it be before the alarm goes off?
Lesson No. 31.
There are 230 people resting in the Solnyshko camp, of which 170 are boys. How many girls are there in the camp?
In the school garden there are 4 rows of apple trees, 6 in each. How many trees are there in the garden?
We bought 3 bags of pumpkin seeds, 200 grams each, and carrot seeds. Only 800 grams. How many grams of carrot seeds did you buy?
Before lunch, the store sold 3 bags of granulated sugar, 50 kg each. And after lunch - 5 such bags. How many kilograms of granulated sugar were sold throughout the day?
One telegraph operator transmitted 90 telegrams in 6 hours, and another 120 telegrams in the same time. How many more telegrams did the second typist transmit per hour?
The sewing workshop had 240 meters of chintz. When several dresses were sewn, using 3 meters for each, there were 90 meters of chintz left in the workshop. How many dresses did you make?
24 boys worked on clearing snow, and 3 times fewer girls. How many guys worked to clear the snow from the paths?
Kolya is 8 years old, and grandma is 64 years old. How many times is Kolya younger than his grandmother?
Challenges for ingenuity.***
Two boys played chess for 1 hour and 20 minutes. How long did each person play?
We need to put up a fence 30 meters long. To do this, you need to dig pillars every 3 meters from the beginning to the end of the fence. How many poles will be needed?
Lesson No. 32.
Topic: “Solving inverse problems.”
8 kg of zucchini were collected from one plot, and 3 times more from another. How many kg of zucchini were collected from the two plots?
We bought 24 small balls for the kindergarten, and 4 times fewer large ones. How many balls did you buy?
Yura had 30 soldiers. He put 2 soldiers in the box and arranged the rest equally in 4 rows. How many rows did he have?
Mom put dumplings on 3 plates, 8 on each plate and 5 dumplings remained in the pan. How many dumplings were there in the pan?
The fisherman caught 15 perch, 3 times less ruff than perch, and 7 more crucian carp than ruff. How many crucian carp did the fisherman catch?
In one entrance of the new building there are 9 floors, 7 apartments on each floor. 30 apartments are already occupied. How many apartments in the building are unoccupied?
Dad and son have been together for 45 years. My son is 9 years old. How many years is dad older than his son?
You need to distribute 32 strawberries into 4 pies, equally divided into each one. How many of these pies are enough for 48 strawberries?
The length of the third part of the garden path is 9 meters. Find the length of the entire path.
Lesson No. 33.
Topic “Knowledge control”
Problem 1
There were 340 kg in the store. cherries and plums, apricots and plums were 310 kg. , and apricots and cherries were 390 kg. How many cherries, plums and apricots were there individually?
Problem 2
2 tons of tomatoes were collected from three plots. 420 kg were collected from the first site, and 3 times less from the second than from the first. How many tomatoes were collected from the third plot?
Problem 3
In the class, 24 students passed the Russian language exam, and 25 students passed the math exam, with 22 students passing both exams. How many students are in the class if everyone passed at least one of the exams?
Problem 4
During the day, 36 servings of dumplings were sold in the canteen, semolina porridge was sold 3 times less than dumplings, and dumplings were sold 41 servings more than semolina porridge. How many servings of dumplings, dumplings and semolina porridge were sold in the canteen?
Problem 5
Lena had 17 rubles, and Oksana had a ruble more. How many pens can they buy if one pen costs 5 rubles.
Problem 6
Winnie the Pooh went into the forest for honey. The entire hike took him 54 minutes. Of these, he spent 30 minutes traveling there and back, 5 minutes thinking about how to remain unnoticed by the bees, then climbing a tree for half the time he spent on the road. How much time did Winnie the Pooh have to get honey?
Problem 7
Petya paid 240 rubles for 10 pens and 5 markers. 4 markers cost half the entire purchase. How much does one marker and one pen cost?
Problem 8
One road is 45 km long. 1/5 of the road was covered with asphalt, and the road was 70 km long. covered 1/7 of the road with asphalt. Which road and how much more asphalt was covered?
Problem 9
The gardener, looking at the flowers in his lard, thought: “If I could add another third and 16 more to my roses, then I would have a whole hundred of them.” How many roses did the gardener have in his garden?
Lesson No. 34.
Topic “Final lesson”
Problem 1
Two squirrels lived in the forest - Belka and her sister Strelka. Strelka eats 12 nuts for breakfast, and Belka eats 5 less. For lunch, Strelka eats 14 nuts, and Belka eats 4 less. How many nuts do they eat in one day if they don't have dinner?
Problem 2
A cyclist travels 20 km per hour, and a motorcyclist travels 3 times more. How many kilometers per hour does a motorcyclist travel?
Problem 3
An oak tree lives for approximately 500 years. This is 350 years longer than the life of the linden tree. How many years does a linden tree live?
Problem 4
8 boxes of equal weight contain 120 kg of potatoes. How many of these boxes will be needed to lay out 150 kg of potatoes?
Problem 5
Two girls, Dina and Masha, went to the bakery. On the way they found 10 rubles. How much money would Dina find if she went to the bakery?
Problem 6
On one day Ira read 21 pages, on the second - 2 times more than on the first, and on the third - 15 pages less than on the second day. How many pages did Ira read in 3 days?
Problem 7
a) A T-shirt costs a ruble, and shorts cost 9 times more. How much do the T-shirt and shorts cost together?
b) The mass of the melon is b kg, and the mass of the watermelon is 2 kg less. What is the total weight of watermelon and melon?
c) The pool contains liters of water, and the tank contains 7 times less. How much greater is the volume of the pool than the volume of the tank?
Problem 8
240 books were brought to the bookstore. Of these, 70 were placed on the top shelf, 120 on the middle shelf, and the rest on the bottom. How many books did you put on the bottom shelf?
Task 9.
Restore the condition of the problem to solve it:
“In a vase of peaches, this is several times less than nectarines. How many more nectarines are in the vase than peaches?
9 2 = 18 (n.)
18 – 9 = 9 (n.) Answer: for 9 nectarines.
During the summer holidays, reading in primary school children worsens in more than 50% of students, writing in 67%, and computing skills in 75% of students. In order to at least maintain the level of academic skills, it is enough to train for 15 minutes every day during the summer holidays. This pattern forms the basis for organizing summer classes in many countries around the world. The same pattern is the basis for working on the “Mother’s School” notebooks for the transition from 1st to 2nd grade, 2nd to 3rd grade, 3rd to 4th grade.
Each notebook contains 30 tasks. They are designed for 6 summer weeks (from July 16 to August 26), 5 lessons per week. Assignments include reading and rewriting text, solving examples, and solving a problem. Each work is evaluated by parents.
Approximate training duration:
Reading the text three times – 4 minutes
rewriting - 5 minutes
solving the example – 1 minute
problem solving – 5 minutes
Just 15 minutes.
Please pay attention to the following:
Is the text meaningful?
- does the time decrease when reading it three times?
- whether the height and correctness of lowercase letters was maintained when rewriting and whether the speed of writing increased during the last lessons
- whether the time spent on calculations and the number of errors have decreased.
The first exercise is reading.
The text must be read three times, each time measuring how much time it takes. The time spent will decrease as the reading speed will increase. Try not to let your reading speed drop below normal; after the first grade it is 35 - 40 words per minute, after the third - 80 words per minute.
The second exercise is writing (Russian language).
The read text must be carefully and carefully rewritten onto the lined part of the page within five minutes. By counting the number of letters and dividing them by 5, we get the writing speed. Day by day, your writing speed will increase. It must be at least 20 letters per minute after the first grade and at least 60 after the third.
The third task is mathematics.
With daily training, the time spent on solving an example and problem will be reduced to three minutes.
To download assignments, click on the desired link and save the file to your computer.
And one more option for summer assignments after third grade for the teaching and learning educational complex School of Russia: Mom’s school, transition to 4th grade, more complex assignments (Word). This option is not suitable for other programs. In particular, there are several part problems, a speed task, which have not yet been taught, for example, in the Perspective program, there are schemes in the Russian language that are given only at the School of Russia. And in this version there are no equations, so you will also have to study using a mathematical simulator. Keep in mind that there is not enough space left for writing the text, and if the child has large handwriting, it is better to write the texts in a notebook.
And at the request of visitors, we made it for you
This is the minimum, in addition to reading the literature assigned for the summer, that a child needs in order to support his mental activity and not lose over the summer all the knowledge accumulated over the past school year. “Mom’s school,” of course, may not be limited to only these tasks.
The appropriate simulators from our website will help you improve your math skills; you can get serious about Russian by giving your child tasks for a test of cheating or dictation; there are also complex works that combine knowledge in all subjects + logical thinking. Don’t be shy, look through the pages from the elementary school section in the site menu, and you will find a lot of necessary and interesting things for your children.