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MATHEMATICAL DICTATIONS ON THE TOPIC
"ADD AND SUBTRACT WITHIN20 »
1 CLASS
Dictation No. 1
1. Find the difference between the numbers 13 and 5.
2. Find the sum of 7 and 4.
3. Write down a number greater than 8 by 6.
4. What number is less than 11 by 4?
5. Increase the number 9 by the same amount.
| Job numbers | |
Dictation No. 2
1. Write down the number in which there is 1 ten and 7 units.
2. Write down the largest single number.
3. Write down the smallest two-digit number.
4. Write down any two-digit number less than the sum of 10 and 4.
5. Write down the neighbors of the number 19.
| Job numbers | |
| 10 or 11;12;13. |
|
Dictation No. 3
1. Decreasing 11, subtracting 6, write down the value of the difference.
2. What single digit numbers must be added to get 15?
3. Write down what the sum of the numbers 8 and 5 is equal to.
4. The first term is 9, the second term is 7, find the value of the sum.
5. Write down the difference between the numbers 11 and 4.
| Job numbers | |
| 8 and 7 or 9 and 6 |
|
Dictation No. 4
1. Subtract 4 from the sum of numbers 7 and 8.
2. The difference between the numbers 9 and 5 is increased by 8.
3. Add 4 to the sum of the numbers 7 and 5.
4. Reduce 15 by the difference between the numbers 8 and 3.
5. Write down two-digit numbers that are less than the difference between 14 and 2.
| Job numbers | |
Evaluation of results:
Completed without errors 5 tasks - high level;
Made: 1-2 mistakes - average level;
3 errors - below average;
more than 3 errors - low level.
Arginskaya, I.I. Collection of tasks in mathematics for independent, verification and control work in elementary school [Text]: a guide for the teacher / I.I. Arginskaya. - M.: Fedorov, 2014. - 288 p. - ISBN: 978-5-393-01608-1
Mathematical dictations
1. How many suns are in the sky?
2. How many eyes does an owl have?
3. How many lights does a traffic light have?
4. How many fingers does the glove have?
5. How many colors does the rainbow have?
6. How many paws does a cat have?
1. Write in numbers: one, two.
2. Write down the bigger number: 4 and 3.
3. Write down a number less than 2.
4. How many sides does a triangle have?
5. Write down the neighbors of the number 4.
6. There are rivers in Velyka Novoselka: Kashlagach, Shaitanka, Wet Yaly.
Write down the number of rivers in our village.
1. Write down the numbers from 1 to 5 in order.
2. Write down the smaller number: 5 and 4.
3. Write down the neighbors of the number 3.
4. Write in a number how many corners the pentagon has.
5. Write in a number how many vertices the triangle has.
6. Write down the number preceding 4.
1. What number follows the number 4?
2. Write down the previous number of the number 5.
3. How many paws does a bear have?
4. How many days are there in a week?
5. What number comes before 7?
6. Write down the bigger number: 3 and 2.
1. What number is followed by the number 8?
2. What number does it come before?
3. Write down the neighbors of the number 5.
4. Which number is greater: 4 or 5?
5. How many corners does a square have?
6. What number is followed by 3?
7. Write down: 6 is 4 and ...
1. What number is followed by 9?
2. Write down the smallest number.
3. Write down the number following 7.
4. write down the number preceding 5.
5. write down the neighbors of the number 6.
6. Write down the smaller number: 5 and 7.
7. Write down a number that is greater than 2 but less than 4.
1. What number is followed by 10?
2. Write down the number preceding 9.
3. What number is between 5 and 7?
4. What number will we get if we add 1 to 7?
5. Which number is greater: 6 or 4?
6. Write down the neighbors of the number 7.
7. Write down how many vertices the quadrilateral has.
1. Write in numbers: six, eight, four.
2. Write down the bigger number: 7 and 8.
3. Write down the neighbors of the number 7.
4. What number is greater than 7 by 1.
5. What number must be added to 8 to get 9.
6. Write down the number following 6.
7. How many vertices does a square have?
1. Write down numbers from 3 to 7.
2. The first term is 2, the second term is 3. Find the sum.
3. Add 1 to 6.
4. Write down the number preceding 10.
5. Write down the number following 5.
6. Write down the neighbors of the number 7.
7. Write down: 9 is 5 and ...
1. Write down the numbers from 6 to 10.
2. 7 increase by 1.
3. The sum of the numbers 5 and 2.
4. The first term is 3, the second term is 1. Find the sum.
5. Subtract 1 from 4.
6. How many vertices does a hexagon have?
7. Add 5 to 5.
1. Write down numbers from 10 to 4.
2. Write down the larger number: 10 and 8.
3. 7 increase by 3.
4. The first term is 7, the second - 2. Find the sum.
5. 2 increase by 3.
6. Find the sum of two numbers 4 and 5.
7. Write down: 10 is 7 and ...
1. Name the neighbors of the number 8.
2. Write down the number following 5.
3. Write down the number preceding 8.
4. The first term is 5, the second - 2. Find the sum.
5. Add 3 to 3.
6. The sum of the numbers 9 and 0.
7. 8 minus 1.
1. What number precedes the number 5?
2. What number follows the number 9?
3. Name the neighbors of the number 9.
4. Write down the numbers less than the number 6: 5, 8, 9, 2.
5. Add 3 to 4.
6. Subtract 2 from 7.
7. The sum of the numbers 5 and 3.
1. What number precedes the number 6?
2. What number comes after 5?
3. Write down how many vertices the rectangle has.
4. Write down the neighbors of the number 3.
5. 7 minus 4.
6. The sum of the numbers 5 and 5.
7. The first term is 8, the second is 1. Find the sum.
1. Increase 9 by 1.
2. 3 plus 2.
3. Subtract 1 from 5.
4. The first term is 4, the second 2. Find the sum.
5. What number must be added to 6 to get 10?
6. Increase 6 by 3.
7. The sum of the numbers 8 and 2.
Problems for finding the sum
1. The boy collects stamps. He had 6 stamps in his album. A friend brought him 3 more stamps. How many stamps did the boy have?
2. 3 ducks swam on the lake. 2 more swam up to them. How many ducks were on the lake?
3. Ira solved 3 examples for addition and 4 for subtraction. How many examples did Ira solve in total?
4. Grandmother baked 4 large apples and 2 small ones. How many apples did Grandma bake in total?
5. Mom bought one loaf of bread and 3 buns. How many baked goods did Mom buy in total?
6. 3 bunnies played in the clearing. 2 more bunnies ran up to them. How many bunnies are in the meadow?
7. 6 swans swam on the pond. 3 more swans swam up to them. How many swans were there?
8. There were 5 large cups and 3 small ones on the table. How many cups were on the table?
9. There were 4 daisies and 3 cornflowers in a vase. How many flowers were in the vase?
10. There were 6 pink balls and 3 blue ones hanging on the Christmas tree. How many balls were on the tree?
11. Vika drew 8 lanterns, Nina drew 2 lanterns.
How many lanterns did the girls draw in total?
12. Pavlik bought 3 books, Dima bought 2 books. How many books did the boys buy together.
13. There were 4 cups and 4 saucers on the table. How many dishes were on the table?
14. There were 5 birds sitting in the clearing. 5 more birds flew to them. How many birds are in the meadow?
15. The girl had 4 dolls and 1 teddy bear. How many toys did the girl have?
16. I teach you 7 subjects. 3 subjects are taught by other teachers. How many subjects do you study at school?
17. A walrus at the zoo is fed daily with 2 kg of perch and 4 kg of hake. How many kilograms of fish are added to walrus food?
18. Lena drew 3 flowers and 5 leaves. How many leaves and flowers did Lena draw in total?
19. The carpenter first repaired 6 stools, and then another one. How many stools did the carpenter repair in total?
20. 4 butterflies were flying in the garden. 2 more butterflies arrived. How many butterflies were in the garden?
Problems to find the remainder
1. There were 7 cars in the parking lot. 2 cars left. How many cars are left?
2. There were 9 pears in a vase. Ate 3 pears. How many pears are left?
3. Olya had 6 sweets. She gave 3 candies to her brother. How many candies does she have left?
4. Oksana had 7 colorful postcards. She gave 2 to a friend. How many postcards does Oksana have left?
5. There were 8 leaves on the branch. 3 broke and flew away. How many leaves are left?
6. Mom baked 10 pies. Ate 6 pies. How many pies are left?
7. The girl found 8 mushrooms, 3 of them are white, and the rest are butter mushrooms. How many oils did the girl find?
8. There were 10 people on the tram. 5 people got off at the bus stop. How many people are left on the tram?
9. Seryozha found 10 acorns. He gave 5 acorns to his sister. How many acorns does Seryozha have left?
10. Vova had 10 apples. He gave 5 apples to the children. How many apples does Vova have left?
11. Today we have 5 lessons on schedule. 3 lessons have already passed. How many lessons are left today?
12. 2 days have passed since the beginning of the week. How many days are left until the end of the week?
13. Oksana had 8 nesting dolls. She gave me 2 nesting dolls. How many nesting dolls does Oksana have left?
14. Misha drew 10 mushrooms, he managed to color 7 mushrooms. How many mushrooms are left for Misha to color?
15. bought 10 kg of potatoes. 2 kg of potatoes were used to prepare dinner. How many kilos of potatoes are left?
16. There were 8 books on the shelf. Sasha read 4 books. How many books are left for Sasha to read?
17. 7 mushrooms grew in the clearing. The boy cut 4 mushrooms. How many mushrooms are left to grow in the clearing?
18. The Kuzi rabbit had 9 indoor plants, of which 2 were aloe, and the rest were cacti. How many cacti did the rabbit grow?
19. Oksana needs to wash 6 scarves. She has already washed 4 handkerchiefs. How many scarves are left for Oksana to wash?
20. Bogdanchik caught 9 fish. He gave 4 fish to Murchik. How many fish does the boy have left?
Tasks to increase or decrease by several units
1. Lida has 5 balls, and Ira has 2 balls less. How many balloons does Ira have?
2. Yura has 3 balls, and Petya has 4 balls more. How many balls does Petya have?
3. Petya has 6 badges, and Vova has 3 more badges. How many icons does Vova have?
4. Vera has 6 dolls, and Olya has 2 less dolls. How many dolls does Olya have?
5. There are 5 roses in one bouquet, and 4 more roses in the other. How many roses are in the second bouquet?
6. 4 sparrows flew to the feeder, and titmouse - 2 more. How many titmouse flew in?
7. 6 boys played on the playground, and 3 less girls. How many girls were playing on the playground?
8. There are 10 seas in the Arctic Ocean, and 5 less in the Indian Ocean. How many seas are in the Indian Ocean?
9. Anton found 5 mushrooms, and russula - 4 more. How many russulas did Anton find?
10. A human has 1 heart, but an octopus has 2 more. How many hearts does an octopus have?
11. The white rhino has 2 horns, while the Indian rhino has 1 less horn. How many horns does an Indian rhinoceros have?
12. Poppy flowers close at 3 pm, and wild rose 4 hours later. What time do rosehip flowers close?
13. Composer Mozart played the violin from the age of 4, and after another 2 years he began to compose music. At what age did Mozart start composing music?
14. In echidna, the length of the needles is 6 cm, while in the hedgehog it is 3 cm shorter. How long is the hedgehog's needle?
15. There are 5 children in one sandbox, and 3 more children in the other. How many children are in the other sandbox?
16. Anya washed 5 dishes, and Katya washed 4 more dishes. How many dishes did Katya wash?
17. There were 4 napkins on the shelf, and 6 more napkins on the table. How many napkins were on the table?
18. There were 8 newspapers on the table, and 5 fewer magazines. How many magazines were on the table?
19. A dragonfly has 6 legs, and a spider has 2 more legs. How many legs does a spider have?
20. The first flight to the moon lasted 8 days, and the second 2 days more. How many days did the second flight to the moon take?
21. In snakes, babies appear from eggs after 6 weeks, and in cobras 4 weeks later. After how many weeks do baby cobras appear?
22. A cancer has 10 legs, and a spider has 2 less. How many legs does a spider have?
23. The first man to walk on the moon stayed on it outside the ship for 2 hours, and the astronaut from the second expedition stayed on it for 5 hours more. How many hours did the second astronaut spend on the moon?
24. The starling egg weighs 6 grams, and the kinglet is 5 grams less. How much does a king egg weigh?
25. Parsley seeds do not lose their germination for 2 years, and rye seeds - 8 years longer. How many years do rye seeds stay viable?
26. Mexico is washed by 2 oceans, and Japan - by 1 ocean less. How many oceans surround Japan?
27. The planet Mars has 2 satellites, and the planet Venus has 2 less satellites. How many satellites does Venus have?
28. The crane makes 2 flaps of wings per second, and the rook - 1 more. How many strokes per second does the rook make?
29. Laurel leaves live 4 years, and cork oak leaves 2 years less. How many years do cork oak leaves live?
30. The stork makes 2 flaps of wings per second, and the dove 3 more. How many strokes per second does a dove make?
31. The guitar has 7 strings, and the violin has 2 less. How many strings does a violin have?
32. Watermelon roots can penetrate the ground to a depth of 10 m, and clover
8 m less. How deep can clover roots go?
33. There are 9 seas in the Pacific Ocean, and 3 seas less in the Atlantic. How many seas are in the Atlantic Ocean?
34. The ship from Kherson to Kyiv takes 4 days, and back 1 day less. How many days does the ship go from Kyiv to Kherson?
35. A bison can smell 1 km away, and an elephant 4 km further. How far can an elephant smell fresh grass?
36. A ZIL car without a trailer carries 6 tons of cargo, and with a trailer 2 tons more. How many tons of cargo is transported by a car with a trailer?
37. Pelican weighs 9 kg, and the neck is 2 kg less. How much does the vulture weigh?
38. There are 3 voices in a trio musical ensemble, and 5 voices more in an octet. How many voices are in an octet?
39. Rye roots can penetrate the ground to a depth of 2 m, and wheat 1 m deeper. How deep can wheat roots penetrate?
40. There are 10 vowels in Russian, and 4 less sounds. How many vowels are in Russian?
41. An adult has 5 liters of blood, and a child has 2 liters less. How many liters of blood does the child have?
1. One student cut out 4 stars, and the other - 6. How many more stars did the second boy cut out?
2. Ira grew 5 flowers, and Sveta - 8. How many fewer flowers did Ira grow than Sveta?
3. Dad bought 9 apples and 4 bananas. How many more apples did dad buy than bananas?
4. Vera picked 5 cucumbers from the garden, Lara picked 8 cucumbers. How many more cucumbers did Vera pick than Lara?
5. Kolya has 5 stamps in the album, Dima has 9 stamps. How many fewer stamps are in Kolya's album than Dima's?
6. A beetle has 6 legs, and a spider has 8. How many fewer legs does a beetle have than a spider?
7. The stork weighs 4 kg, and the albatross weighs 8 kg. How many kilograms does an albatross weigh more than a stork?
8. A month-old peacock chick at the zoo is daily added to food with 10 grams of berries and 2 grams of powdered milk. How many grams more berries are given to the chick than milk powder?
9. A chipmunk has 5 longitudinal stripes on its back, and a forest cat has 2. How many more stripes does a chipmunk have than a forest cat?
10. The duck makes 9 flaps of wings per second, and the eagle owl - 5 flaps. How many strokes does an owl make less than a duck?
11. A tick larva has 6 legs, and an adult tick has 8. How many more legs does an adult tick have than a larva?
12. Cactus roots can penetrate the ground to a depth of 6 m, and palm trees - 9 m. How much deeper do palm roots penetrate?
13. There are 10 seas in the Arctic Ocean, and 5 in the Indian Ocean. How many seas are there less in the Indian Ocean than in the Arctic?
14. The length of the first segment is 9 cm, the second - 4 cm. How many centimeters is the length of the first segment greater than the second?
15. Platypuses can stay under water for 1 minute, and in case of danger - 5 minutes. How many minutes longer can a platypus stay under water in case of danger?
16. Lena had 8 discs with fairy tales and 3 with adventures. How many more discs did Lena have with fairy tales than with adventures?
17. My brother is 10 years old and my sister is 7 years old. How many years is the sister younger than the brother?
18. The height of the table is 7 dm, and the height of the chair is 4 dm. How many inches is the table higher than the chair?
Numbers 11 - 20
Mathematical dictations
1. Find the sum of the numbers 6 and 4.
2. Increase 5 by 3.
3. How much is 9 greater than 4?
4. Reduce 5 by 3.
5. Reduced 10, subtracted 6. Find the difference.
6. The first term is 6, the second 2. Find the sum.
7. What number is greater than 6 by 1?
8. The same amount was added to 4. Find the amount.
9. Write down the neighbors of the number 7.
1. Subtract 6 from 8.
2. The same amount was subtracted from 6. What happened?
3. Add 6 and 3.
4. 10 minus 5.
5. Find the sum of the numbers 2 and 8.
6. Increase 2 by 6.
7. How much is 3 less than 8?
8. The first term is 4, the second is 3. Find the sum.
9. What number is less than 5 times 1?
1. The same amount was subtracted from 9. How much did it turn out?
2. 0 was added to 7. Find the sum.
3. What number is greater than 7 by 2?
4. The same amount was added to 3. How much did it turn out?
5. Reduced 10, subtracted 4. Find the difference.
6. Terms 4 and 3. Find the sum.
7. The number 9 was reduced by 5. How much did it turn out?
8. Write down the neighbors of the number 9.
1. The first term is 4, the second 3. Find the sum.
2. The planned number was increased by 1 and got 8. What number did you think?
3. Terms 5 and 3. Find the sum.
4. The difference between the numbers 8 and 4.
5. Decrease 9 by 6.
6. Decrease the number 7 by 7.
7. Add 0 to 9.
8. Write down the neighbors of the number 4.
1. Subtract the number of hares from the number between four and six,
for which you do not have to chase, so as not to catch a single one, judging by
saying.
2. From the number of kids frightened by a wolf in a fairy tale, subtract the number
piglets known to all children.
3. Write down how many days are there in a week?
4. How many winter months are there?
5. Add up the number of letters in the words WORLD and DAY.
6. How many sides do two squares have?
7. Write down the number preceding 15.
8. Write down the neighbors of the number 13.
9. The first term is 7, the second is 3. Find the sum.
1. Terms 10 and 2. Find the sum.
2. Reduced 10, subtracted 6. Find the difference.
3. Write down the number that comes before 19.
4. Write down the number following 10.
5. What number is less than 9 by 6?
6. The number 9 is reduced by 3. Write down the result.
7. How much more is 10 than 5?
8. The first term is 6, the second 3. Find the sum.
9. Subtract 1 from 11. Write down the result.
1. By how much do you need to increase 6 to get 10?
2. Decrease the number 9 by 6.
3. Increase 10 by 5.
4. Write down the number preceding 14.
5. Write down the number following 19.
6. Find the sum of the numbers 10 and 6.
7. Write down the neighbors of the number 17.
8. How many centimeters are in a decimeter?
9. Write down the number in which 1 dec. and 4 units.
10. Write down the smallest two-digit number.
1. Write down the number in which 1 dec. and 2 units.
2. How many tens are there in 20?
3. Write down the numbers from 11 to 15.
4. The sum of the numbers 10 and 8.
5. Subtract 10 from 16.
7. Write down the neighbors of the number 13.
8. Subtract twelve from twelve.
9. 11 decrease by 1.
10. Write down the number in which 1 dec. and 9 units.
Mathematical dictations
1. Write down a number that is less than 7 by 2.
2. How much is 10 minus 2?
3. From what number must 5 be subtracted to get 3?
4. A number consisting of 1 des. and 3 units.
5. Increase 10 by 1.
6. Subtract 5 from 15.
7. Write down the number preceding 19.
8. Write down the neighbors of the number 15.
9. 13 is 10 and...
10. 17 decrease by 10. What do we get?
1. Write down the number in which 1 dec. and 6 units.
2. Write down the number that is 1 more than 19.
3. What number will you get if you subtract 10 from 17?
4. What number comes after 12?
5. What number comes before 13?
6. The sum of the numbers 10 and 4.
8. Reduced 17, subtracted - 7. Find the difference.
9. Write down the number that is 1 less than 15.
10. Find the difference between the numbers 15 and 5.
1. Write down the number that comes after 12.
2. The sum of the numbers 10 and 8.
3. Reduced 13, subtracted 3. Find the difference.
4. What number must be added to 10 to get 16?
5. Add 5 units to one ten. What happened?
6. The difference between the numbers 19 and 10.
7. Write down the number in which 1 dec. and 2 units.
8. Write down the number preceding 20.
9. Write down the neighbors of the number 14.
10. Increase by 1 the number 16. What will we get?
1. Write down the number in which 1 dec. and 5 units.
2. Increase 15 by 1.
3. Reduce 19 by 1.
4. The sum of the numbers 6 and 4.
5. Subtract 5 from 9.
6. Write down the number preceding 15.
7. Add 8 units to one ten. What did you get?
8. Increase 6 by 3.
9. Write down the neighbors of the number 16.
10. What number comes after 19?
1. Name the number following 12.
2. What number comes before 15?
3. Name the neighbors of the number 18.
4. What number is less than 11 by 1?
5. What number is greater than 16 by 1?
6. How to get the number 20 out of 19?
7. The first term is 10, the second is 9. Find the sum.
8. Reduced 18, subtracted - 8. Find difference.
9. Write down the number in which 1 dec. and 5 units.
10. Subtract 10 from 19. How much did it turn out?
1. Eleven plus six.
2. Find the sum of the numbers 10 and 6.
3. Eighteen minus eight.
4. Find the difference between the numbers 14 and 4.
5. Write down the number. in which 1 dec. and 1 unit.
6. Reduced 19, subtracted 9. Find the difference.
7. What number is 1 more than 15?
8. What number is 1 less than 12?
9. Write down the neighbors of the number 18.
10. Write down the number. which precedes 20.
1. Write down the number that comes before 17.
2. Write down the number that comes after 13.
3. How much more is 9 than 6?
4. Write down the number in which 1 dec. and 3 units.
5. Find the sum of the numbers 5 and 3.
6. Find the difference between the numbers 10 and 7.
7. The first term is 10, the second 8. Find the sum.
8. How much more is 8 than 1?
9. Write down a number consisting of 1 dec. and 7 units.
10. Write down the neighbors of the number 10.
1. Write down the bigger number: 16 and 13.
2. Write down the number preceding 16.
3. Increase 17 by 1.
4. Reduce 20 by 1.
5. How many centimeters are there in 1 dm and 2 cm?
6. Write down the neighbors of the number 19.
7. The sum of the numbers 10 and 4.
8. The difference between the numbers 14 and 10.
9. The first term is 10, the second is 5. Find the sum.
10. The difference between the numbers 19 and 9.
fun tasks
Once in a dense forest
The hedgehog built himself a house.
Invited forest animals
Count them quickly:
Two hares, two foxes,
Three funny teddy bears.
Two squirrels, two beavers,
It's time to name the answer! (eleven)
Mom walked along the spruce tree,
Found eight redheads
And the baby daughter
Only three mushrooms.
Answer without hesitation
How many mushrooms are in the basket? (eleven)
So they dance smartly
Eight squirrels, three hares.
They dance merrily on the sidelines.
Count quickly
How many animals are here? (eleven)
Fishermen are sitting, guarding the floats:
Roots fisherman caught five bass,
Rybak Yevsey - 5 carp,
And the fisherman Mikhail caught two catfish.
How many fish are fishermen
Dragged from the river? (12)
Gathered forest animals
In the meadow near the spruce.
New Year! New Year!
The round dance began.
Gray wolf with rogue fox
They dance so well!
Eight squirrels, three hares
They dance merrily on the sidelines.
Count quickly
How many animals are in the clearing? (13)
Nine books on one
And four on the other.
How many on two shelves
Egorka's books? (13)
Seven mushrooms grew on the edge of the oaks.
There are seven more mushrooms in the clearing near the stumps.
How many mushrooms do oaks and stumps have in total? (fourteen)
We had fun at the tree
We danced and frolicked
After the good Santa Claus
He gave us gifts.
Gave big packages.
They have delicious items.
I started to open the package
Five sweets in blue papers,
Five nuts next to them.
Pear with apple
One is a golden tangerine,
A chocolate bar - that was my pleasure!
All are in one package
Count these things! (fourteen)
In a quiet river under the bridge
There lived a mustachioed old catfish.
He has a wife
And fourteen somyats.
Who will count them together?
Som will be happy about it! (fifteen)
The boy Yegorka loves order.
He put his books on the shelves:
Ten books on one
And six - on the other.
How many books do Yegorka have on two shelves? (16)
He stood at the zoo, counting the monkeys:
Two played in the sand, three sat on the board,
And twelve backs warmed.
I pull the net, I catch fish.
Got a lot: seven perches, ten crucians,
One brush - and that in a pot.
I’ll cook the ear, I’ll treat everyone.
How many fish will I cook?(18)
Like our kids
Head all in bows:
Three burgundy, five cheerful,
Eight red, two green.
Count quickly
Bows for babies. (eighteen)
Add 8 to 10.
How much will?
We will ask you!(18)
Mom has a helper.
See the kids for yourself:
washed five dishes,
Eight spoons, five cups.
washed dishes
Large flatbreads 20 pieces -
Mother baked cakes.
I got up in the morning and ate one.
And how much is left to lie down? (19)
Seven hedgehogs clean their faces,
Seven roll on the leaves
Six look from under the branches.
Count all the hedgehogs.(20)
Problems for finding the sum
There were 5 girls and the same number of boys walking in the yard. How many children were walking in the yard?
10 birch trees and 8 oak trees were planted near the school. How many trees were planted near the school in total?
Vanya is now 12 years old. How old will he be in 5 years?
There were 6 boys and 10 girls on the playground. How many children were playing on the playground?
10 trees were planted on one side of the street and 8 trees on the other. How many trees are on the two sides of the street?
Misha has 17 stamps, he was given 3 more stamps. How many stamps did Misha have?
The cyclist rode 11 km on the first day and 7 km on the second day. How many kilometers did he drive on the second day?
Problems to find the remainder
There were 20 stories in the book. Kolya read 10. How many stories are left to read?
There were 20 candies in the box. 4 sweets were eaten at breakfast. How many candies are left in the box?
There were 15 light bulbs in the hall. 3 bulbs burned out. How many light bulbs were on?
Masha planted 20 tomato bushes. 17 bushes began, and the rest withered. How many bushes planted by Masha did not start?
Tasks for difference comparison
The table was laid for the holiday for 12 people, and 10 people came. How many extra appliances are on the table that need to be removed?
There were 18 plates on the table and 20 spoons. How many extra spoons were on the table?
There were 12 cars and 10 trucks in the garage. How many fewer trucks were in the garage than cars?
Tasks to increase or decrease by several units.
Galya solved 15 examples, and Lena solved 1 less. How many examples did Lena solve?
At feeders had 8 tits, and bullfinches for 2 more. How many snowmen were there?
Andrew is 12 years old. Sister is 6 years older. How old is your sister?
There are 12 monkeys in the zoo, and there are 2 fewer foxes than monkeys. How many foxes are in the zoo?
My brother is 13 and my sister is 3 years younger. How old is your sister?
Denis has 19 marks, and Alyosha has 3 marks less. How many stamps does Alyosha have?
Dima found 10 white mushrooms, and Seryozha found 3 mushrooms more. How many mushrooms did Seryozha find?
There are 20 apartments in our entrance, and in the neighboring one there are 2 apartments less than in ours. How many apartments are in the next entrance?
On the first day, 15 apples were removed from the apple tree, and on the second day, 5 more apples. How many apples were taken on the second day?
A crate of apples weighs 14 kg, and a crate of apricots is 3 kg less than a crate of apples. How much does a box of apricots weigh?
12 boys participated in the dramatization, and 3 more girls. How many girls were involved in the play?
There were 17 paintings in one exhibition hall, and 3 more paintings in the other. How many paintings hung in the second exhibition hall?
One vase contained 11 asters, and the other had 2 asters more. How many asters were in the second vase?
Toothpaste costs UAH 14, and a bar of soap is UAH 10 cheaper. How much does a bar of soap cost?
12 buckets of water were used for watering cucumbers, and 2 buckets less for watering tomatoes. How many buckets of water were used to water the tomatoes?
There were 20 women on the bus, and there were 6 fewer men than women. How many men were on the bus?
Numbering numbers from 21 to 100
Mathematical dictations
1. Write down the numbers: nine, fifteen, ten, thirteen.
2. Write down the number in which 1 dec. and 2 units.
3. Write down the bigger number: 12 and 20.
4. Write down the number that follows the number 19.
5. Write down the number that comes before 16.
6. Write down the neighbors of the number 14.
7. The sum of the numbers 9 and 2.
8. The difference between the numbers 18 and 8.
1. Increase 15 by 1.
2. Reduce 11 by 2.
3. Write down the number in which 2 dec. and 5 units.
4. Write down the number that follows the number 20.
5. Write down the number that is 1 less than 20.
6. Add 7 to the number 10.
7. Write down the neighbors of the number 22.
8. Reduce 18 by 8.
1. The girl opened the book to page 39. Name the previous and next pages.
2. Write down the number in which 3 dec. and 4 units.
3. Write down the number following 24.
4. 2 more sticks were added to 4 tens of sticks. How many sticks were there?
5. Subtract 10 from 19.
6. The first term is 9, the second term is 3. Find the sum.
7. The difference between the numbers 12 and 10.
8. The sum of the numbers 10 and 7.
one . 19 decrease by 10.
2. What number must be added to 1 to get 30?
3. Write down the number preceding 29.
4. Reduced 18, subtracted 8. Find the difference.
5. 10 increase by 5.
6. How much more is 13 than 12?
7. Write down the number in which 7 dec. and 5 units.
8. Write down the neighbors of the number 40.
1. Reduced 18, subtracted 8. Find the difference.
2. Subtract 1 from 13.
3. Write down a number consisting of 4 dec. and 5 units.
4. Write down the number following the number 40.
5. Write down the number preceding 20.
6. Terms 8 and 3. Find the sum.
7. How many centimeters are in 1 m?
8. Increase 20 by 1.
9 How many tens are there in 34?
1. Increase 66 by 1.
2. Write down the number following the number 39.
3. Write down the number preceding 56.
4. Write down the number in which 4 dec. and 2 units.
5. Write down the number that is 1 more than 30.
6. The difference between the numbers 16 and 6.
7. The first term is 9, the second is 3. Find the sum.
8. Write down the neighbors of the number 67.
9. How many tens are there in 67?
1. 1dm and 2 cm - how many centimeters?
2. How much more is 20 than 10?
3. The sum of the numbers 8 and 3.
4. Subtract 3 from 12.
5. Write down a number consisting of 7 dec. and 5 units.
6. Write down the neighbors of the number 19.
7. Added 1 to 17. How much did it turn out?
8. Subtract 10 from 16.
9. How many centimeters are there in 1 dm and 5 cm?
1. Find the difference between the numbers 13 and 10.
2. Increase 18 by 1.
3. Subtract 1 from 20.
4. Write down a number consisting of 3 dec. and 9 units.
5. Write down the number preceding 50.
6. Write down the number following 88.
7. Write down the neighbors of the number 99.
8. The first term is 45, the second 1. Find the sum.
9. Reduced 34, subtracted 1. Find the difference.
1. How many kopecks are in 1 UAH?
2. How many tens are there in 39?
3. Write down the largest two-digit number.
4. The sum of the numbers 18 and 1.
5. Subtract from 30 1. Write down the answer.
6.55 increase by 1.
7. The difference between the numbers 66 and 1.
8. Write down the number following the number 34.
9. Write down the number preceding 56.
1. Write down how many vertices are in the triangle?
2. The sum of the numbers 10 and 7.
3. The difference between the numbers 14 and 4.
4. 50 increase by 9.
5. 98 decrease by 8.
6. Write down how many centimeters are in 1 m?
7. Write down how many tens are in the number 65?
8. Mom bought 2 dozen seedlings. She has already planted 10 seedlings. How many seedlings does she have left to plant?
1. The sum of the numbers 40 and 50.
2. The difference between the numbers 50 and 20.
3. How much more is 60 than 10?
4. Write down a number consisting of 5 des and 7 units.
5. Write down how many days are in a week?
6. Olya had 12 UAH. She bought gingerbread for 5 UAH. How much money does the girl have left?
7. The first term is 20, the second is 60. Find the sum.
8. Reduced 18, subtracted - 10. Find the difference.
1. Write down how many sides does the triangle have?
2. The sum of the numbers 40 and 30.
3. Subtract 1 from 16. How much is left?
4. How much more is 20 than 19?
5. To what number must 7 be added to get 17?
6. To what number must 20 be added to get 24?
7. 30 increase by 10. Write down the result.
8. How many hours are in 1 day?
9. Write down how many minutes are in 1 hour.
1. How many sides does a pentagon have?
2. Write down the neighbors of the number 29.
3. Write down the number that is 1 more than 59.
4. Increase 39 by 1.
5. Reduce 60 by 1.
6. Express in centimeters: 2 dm 6 cm.
7. Reduced 50, subtracted 1. Find the difference.
8. Write down the number in which 3 dec. and 6 units.
9. There were 13 m of fabric in a piece. Cut off 3 m on the dress. How many meters of fabric are left?
1. Write down the number that precedes the number 40.
2. Write down the number that consists of 5 des. and 0 units.
3. Write down the number that follows the number 60.
4. Decrease the number 23 by 2 tens.
5. Write down how many corners and vertices the hexagon has.
6. The difference between the numbers 60 and 20.
7. The first term is 20, the second is 4. Find the sum.
8. 80 decrease by 60.
9. Reduced 90, subtracted 30. Find the difference.
1. Write down how many corners the quadrilateral has.
2. Write down a number consisting of 6 dec. and 1 unit.
3. How many hours are there in a day?
4. Reduced 50, subtracted 30. Find the difference.
5. The sum of the numbers 30 and 45.
6. Reduce 17 by 7.
7. What number must be increased by 1 to get 27?
8. How much more is 90 than 70?
9. Find the sum of the numbers 10 and 6.
1. Find the difference between the numbers 10 and 6.
2. Reduce 27 by 7.
3. Write down the number in which 3 dec. and 9 units.
4. Write down the number that follows the number 59.
5. Write down the number preceding 90.
6. Find the sum of the numbers 34 and 50.
7. How many minutes are in an hour?
8. The first term is 60, the second is 30. Find the sum.
1.
find
sum of numbers
12 and
3.
2.
find
difference of numbers
17
and 6.
3.
Find out,
how much
18
less,
how
6.
4.
Find out,
how much
12
less,
than 14.
5.
write down
neighbors
numbers
15.
6.
First term
8,
second
4.
find
amount.
7.
Minuend
18
subtrahend
8.
Find the difference.
8.
Number
14
reduce
on 10.
9.
Number
9
increase
on 4.
10.
From
conceived
numbers
taken away
6 and
got 10.
What number
thought?
1. The beetle has three pairs of legs, and the spider has 4 pairs. How many legs does a beetle have less than a spider?
2. Melon is heavier than watermelon by 2 kg. How much does a watermelon weigh if a melon weighs 7 kg?
3. Tanya ducklings have 6 legs. How many ducklings does Tanya have?
4. How many boots did Zoya buy so that the cat's feet would not get wet?
5. 10 children played in the sandbox. 6 children went home for lunch. How many children
left?
6. Misha found 10 mushrooms in the forest. Among them, 4 were inedible.
How many mushrooms should be thrown away?
7. There are 9 cakes in a box. How many cakes must be taken from the box so that there are 6 cakes left in it?
1.
write down
number,
wherein
5
dec.
7 units
2.
write down
numbers,
which are 1
less than:
50, 27.
3.
write down
numbers,
for 1
more,
how:
49,60.
4.
write down
number,
which is between
58 and
60.
5.
write down
number,
following
after 69.
6.
write down
number,
previous
40.
7.
How much
72
more,
than 70?
8.
How much
20 less
than 100.
1. The first term is 13, the second is 10. Find the sum.
2. Subtract 50 from 54.
3. Reduced 11, subtracted 3. Find the difference.
4. Write down how many minutes are in an hour.
5. How many centimeters are in a decimeter?
6. Viti has 10 marks, and Misha has 3 marks more. How many stamps does Misha have?
7. 75 decrease by 5.
8. Write down a number consisting of 8 dec. and 5 units.
9. Write down the number preceding 47.
Algebra. Mathematical dictations. 7-9 grades. Conte A.S.
V.: 2013. - 78 p.
The collection offers mathematical dictations in algebra (combined, vocabulary, composed of theoretical questions and practical tasks) as one of the forms of training and control of knowledge and skills, the formation of universal learning activities and personal qualities among students in grades 7-9. The manual will help the teacher of mathematics to organize the educational process taking into account the Federal State Educational Standards; useful for students for self-study in the subject.
Format: pdf
The size: 2.5 MB
Watch, download:
Format: djvu
The size: 870 Kb
Watch, download: 01/14/2016, links removed at the request of the publishing house "Uchitel" (see note)
CONTENT
Preface 3
7 CLASS 9
Dictation 7-1. Topic "Expressions" 9
Dictation 7-2. Theme "Identities" 11
Dictation 7-3. Topic "Equations" 12
Vocabulary dictation 7-4. Topic "Expressions, identities, equations" 14
Dictation 7-5. Topic "Defining a Function" 15
Vocabulary dictation. 7-6 Functions Topic 16
Dictation 7-7. Theme "Degree with a natural indicator" 16
Vocabulary dictation 7-8. Topic "Properties of a degree with a natural
indicator" 18
Dictation 7-9. Topic "Monomials" 18
Dictation 7-10. Topic "Functions y \u003d x2 and y \u003d r5" 19
Dictation 7-11. Topic "Absolute and relative errors" 21
Dictation 7-12. Topic "Polynomials" 22
Dictation 7-13. Topic "Formulas of abbreviated multiplication" 23
Vocabulary dictation 7-14. Topic “Polynomials. Abbreviated Multiplication Formulas 24
Dictation 7-15. Topic "System of linear equations" 25
Vocabulary dictation 7-16. Topic "System of linear equations" 27
8 CLASS 27
Dictation 8-1. Topic "Rational Expressions" 28
Dictation 8-2. Topic "Addition and subtraction of rational fractions" 31
Dictation 8-3. Topic "Product and quotient of rational fractions". 33
Vocabulary dictation 8-4. Topic "Rational fractions" 35
Dictation 8-5. Topic "Real numbers" 36
Dictation 8-6. Topic "Determining the arithmetic square root" 37
Dictation 8-7. Topic "Properties of the arithmetic square root" 38
Dictation 8-8. Topic "Calculation of square roots" 40
Vocabulary dictation 8-9. Topic "Square roots" 41
Dictation 8-10. Topic "Quadratic Equations" 42
Vocabulary dictation 8-11. Topic "Quadratic Equations" 44
Dictation 8-12. Topic "Numerical inequalities and their properties" 45
Dictation 8-13. Topic "Numerical intervals" 46
Vocabulary dictation 8-14. Topic "Numeric inequalities" 48
Dictation 8-15. Topic "Degree with an integer indicator" 48
Dictation 8-16. Topic "Standard type of number" 50
Vocabulary dictation 8-17. Topic "Degree with an integer indicator" 51
9 CLASS 52
Dictation 9-1. Topic "Functions and their properties" 52
Dictation 9-2. Topic "Square Trinomial" 54
Dictation 9-3. Topic "Quadratic function and its graph" 56
Vocabulary dictation 9-4. Topic "Quadratic function" 58
Dictation 9-5. Topic "Equations and systems of equations" 59
Dictation 9-6. Theme "Sequences" 60
Dictation 9-7. Topic "Arithmetic progression" 62
Dictation 9-8. Topic "Geometric progression" 64
Vocabulary dictation 9-9. Theme "Sequences" 66
Dictation 9-10. Topic "Even and odd functions" 66
Dictation 9-11. Topic "Power function" 68
Dictation 9-12. Topic "Determining the root of the nth degree" 70
Dictation 9-13. Topic "Properties of the root of the nth degree" 72
Dictation 9-14. Topic "Degree with a fractional indicator" 74
Literature 76
Mathematical dictations given in this manual are diverse:
- dictations, some of which are theoretical questions, and some are simple practical tasks on the relevant topic that do not require large notes;
- dictations, consisting entirely of practical tasks, similar to textbook tasks, which are performed almost orally, you only need to write down the answer;
The use of mathematical dictations does not solve all the problems facing the teacher, but it greatly helps him in his work. Before proceeding to the study of new material, the teacher needs to make sure that the students have mastered the previous knowledge. Polling the whole class in a lesson is not realistic. If you interrogate several students at the blackboard, then, as a rule, the rest listen to the answers inattentively. With the help of dictation, you can find out the level of assimilation of previously studied material in the whole class. Dictations can be used immediately after the introduction of new material, so that students can better understand it. You can effectively use dictations in the lessons of generalization and systematization of knowledge. In addition, pronouncing the same material many times allows even the "weak" to learn the required minimum content in mathematics.
Semenyuk Natalya Vyacheslavovna, 14.11.2017
2314 277
Development content
Algebra Grade 7
Topic 1. Degree with natural and integer indicators.
Dictation 1. Degree with a natural indicator.
1. Write down the third [fifth] power of the number 5 as a product and find its value.
2. What is the first power of the number -6?
3. Calculate the value of the expression 2 2. 2 3 .
4. What is the sum of cubes [squared difference] of numbers 6 and 3?
5. Calculate the square of the cube of the number 4 [the cube of the square of the number 2].
Dictation 2. Properties of a degree with a natural indicator
1.Write down the expressions a 8 . a 5 [with 5 . from 7]. Express this expression as a power.
2. Write down the degree that will be obtained if the expression x 2 [a 2] is raised to the fourth [third] degree.
3. Represent the second [third] power of the product of the numbers 7 and 13 as a product of powers.
4. Write down the expression 3 13 * 9 13 as a degree.
5. Present as a power of the number 5 the quotient 5 80: 5 40.
6. The number a is negative. What is the sign of a 18? [The number b is negative. What is the sign of b 19 ?]
Dictation 3. Degree with integer exponent
1. Give the definition of the zero degree of the number x.
2. Write down the expression 5 4 , 7 0 , 2 -3 and find their values.
3. Present the fraction as a power with a negative exponent.
4. Write down the expression x -5 * x 7 [a 8 * a -10]. Express it as a degree.
5. Write down the degree that will turn out if the expression x -5 [y -7] is raised to a minus fourth power.
6. For which x, y and a is it true that a x: a y \u003d a x - y?
Dictation 4. Standard form of a penis
1. Write down the number 582.7 in standard form.
2. Write down the number 0.54 in standard form.
3. What number has a standard form 3.5 * 10 -5?
4. What number has a standard form - 3.001 * 10 5 [-4.006 * 10 -2]?
5.Find the product of numbers 3 * 10 -7 * 5 * 10 2 [ 4 * 10 3 * 6 * 10 -5 ] and write it in standard form.
Dictation 5. Functions y \u003d ax 3 and y=ah 2
Given points M (-3; -9); A (2; 4) [C (-13; 169); To (5; 10)] determine through which of the indicated points the graph of the function passes: y \u003d x 2?
Which of the following points belong and which do not belong to the function graph
y \u003d x 3 V (-2; -8); K (1; 3) [P (-4; 64); E (5; 125)]
How will the area of a square change if its side is increased by 2 times [reduced by 4 times].
The function y \u003d -4x 3 is given. Find: the value of the function for all x = -1 [x = 0.5].
Dictation 6. Function y \u003d and her schedule
1. Does the graph of the function y \u003d points A (-3.6; -2) [C (0.04; 1800)]
2. In what coordinate angles is the function graph located: y \u003d [y \u003d]
3. The function y \u003d is given. indicate the set of values for the variable x, for which the function takes: positive values [negative values].
4. Determine the sign of the number k knowing that the function y \u003d is located: in 1 and 3 coordinate quarters [in 2 and 4 coordinate quarters].
Topic 2. Monomial and polynomial.
Dictation 1. Monomial
Is the expression 15x 2 y a monomial. If so, what is its coefficient and what is its degree?
Square [cube] the monomial -4xy 5 [-8ab 3 ]
Write in the form of a monomial of the standard form the product of the monomials 4а 3 bx and –8ax 2 .
Dictation 2. Polynomial. The sum of polynomials.
What is the sum of monomials called?
Write down some trinomial [quadrinomial].
Write down the polynomial a - 2a + 2a * a 2 - 5 + 1 Bring it to standard form.
Formulate a rule for the addition of polynomials. Give an example.
Complete the equation: a 2 - 7a + 5 = a 2 - (……..) [x 6 - 6x + 2 = x 2 - (…….)].
Dictation 3. Multiplication of a polynomial by a monomial.
Write out the monomials obtained by multiplying the monomial y 2 by each of the terms of the polynomial 2y 3 - 4y 2 + 6 [x 3 - 3x + 5].
Multiply the polynomial 5x - 2y by the monomial - x 2 [-2b 2 ]
Solve the equation 3x (x - 2) + 3x (6 - x) = 0.
Multiply the monomial 3a 2 x [-6by 2 ] by the polynomial -4ax 2 + x 3
Multiply the polynomial a 2 - ab + b 2 [x 2 + xy + y 2] by the monomial -4ab.
Dictation 4. Multiplication of polynomials.
Write down the polynomials that are obtained if each term of the polynomial 7x - 2 is multiplied by each term of the polynomial 5 - 6x 2.
Multiply the polynomial x + 4 [x - 3] by the polynomial x - 3 [x + 3].
Express as a polynomial of standard form the square of a binomial
x - 3y [a - 2b] .
Present in the form of a polynomial of the standard form the product of the binomial x - y [a + b] and the trinomial x 2 + xy + y 2 [a 2 - ab + b 2].
Multiply the polynomial x - y [a + b] by the polynomial x + y.
Dictation 5. Bracketing the common factor.
1. What degree of the factor a can be bracketed by the polynomial a 2 x - a 5 x
2. What numerical factor can be bracketed by the polynomial 12x 2 - 6x 2
3. Take out of brackets the common factor of all members of the polynomial a 2 + ab–ac + a.
4. Present the polynomial 3x + xy as a product
Dictation 6. Method of grouping.
1. Factor the expression: 3 (a + 2b) - a (a + 2b); .
2. Factor out the expression: 7x -7y + a (y -x); .
3. Factor out the polynomial: 3c 2 + 15ac - 2c - 10a; ;
4. Factor out the polynomial: a 3 + 3a 2 b + ab 2 + 3b 3; ;
Topic 3. Reduced multiplication formulas.
Dictation 1. The difference of the squares of two expressions.
1. The product of the difference of two expressions and their sum is ...?
[The difference of the squares of the two expressions is...?]
2. Factor out: x 3 - 25x; ;
3. Simplify the expression: (3 + 5ab )(3 - 5ab ); [(2a - 3b)(3b + 2a)];
4. Solve the equation: t 2 - 25=0; ;
5. Calculate using the formula: 55 2 - 45 2; ;
Dictation 2. The square of the sum and the square of the difference of 2 expressions.
1. The square of the sum of two expressions is ...? [Square of the difference of two expressions…];
2. Present as a polynomial: (a -5) 2 ; [(2a +4c ) 2 ];
3. Express the following trinomials as squares of binomials: a 2 +4c 2 -4ac ;
4. Simplify the expressions: (b +1) 2 -5b; [(a +2) 2 -4a];
5. Find the values of the expressions: b 2 -2b +1, with b =21; ;
Dictation 3. Formulas for the cube of the sum and the cube of the difference of 2 expressions.
1. The formula for the cube of the difference of 2 expressions is determined by the formula ......
(the cube formula of 2 expressions is determined by the formula:…..)
2. Find the cube of the sum of 2 expressions: 4a and 7c.
3.Find the cube of the difference of 2 expressions. 6x and 3y.
4. Present in the form of polynomials: (3m -2n ) 3 [(4y -3) 3 ].
Dictation 4. Formulas for the sum and difference of the cube 2 X expressions.
1. What is the sum of cubes of 2 x expressions? [what is the difference of cubes of 2 expressions]?
2. Factorize: 1+64n 3 .
3. Simplify the expression (m -2n 2)(m 2 +2mn 2 +4n 2).[(16x 2 +4ax +a 2)(4x -a )].
4. Prove that, 75 3 +65 3 is divisible by 700 .
Topic 4. Rational fractions.
Dictation 1. Rational fraction. Reduction of a rational fraction.
1. Specify the allowed values of the variables in the expression:
2. Bring the fraction to the denominator: 3ad ; -ad
3.C reduce the fraction:
Dictation 2. Addition and subtraction of algebraic fractions.
1. Add fractions: and 
.
2. Subtract fractions: 
and
3. Reduce to a common denominator of the fraction: and and
4.C lay down fractions: 
5. Present the expression as a fraction: 
Dictation 3. Multiplication and division of algebraic fractions.
1. Express as a fraction the expression: 
2. Express the fifth power of a fraction as a fraction: 
.
3. Express as a fraction the expression: (a + x) 
4. Express as a degree a fraction: 
5. Express as a product the quotient of division of fractions: 
6. Express as a fraction the quotient of division of fractions:
Topic 5. Elements of approximate calculation.
Dictation 1. Measurement of quantities. Approximate value of the number. Absolute error.
1. Round the number 7.827 to tenths 
and find the absolute error of the resulting approximate value.
2. Round the number 6.435 to the nearest hundredth and find the absolute error of the resulting approximate value.
3.9.61. The student found that it is approximately equal to 9.6. What is the absolute error of this approximation?
[With what accuracy can the volume of liquid be measured with a liter mug?]
4. The number is approximately equal to 8.37. What is the largest possible value of the absolute error of this approximation?
[ equals 13.69. The student found that it is approximately equal to 13.7. What is the absolute error of this approximation?]
5. With what accuracy can mass be measured with kilogram weights? [The number is approximately 3.912. What is the largest possible value for the absolute error of this approximation?]
6. What is the accuracy of measurements with a ruler with millimeter divisions [a protractor with degree divisions?]
7. Round the number 0.275 to tenths [hundredths] and find the relative error of the resulting approximate value.
Geometry Grade 7
Topic 1. Initial geometric information.
Dictation 1. Basic concepts of geometry. Line segment. Ray.
Draw and label point C. [Name a geometric figure].
Draw and label the line a. [Draw and label point A].
Draw and label the line α. [Name some geometric figure].
How many common points do two intersecting lines have? [How many points do two non-intersecting lines have in common?]
How many common points do two intersecting [non-intersecting] lines have?
Can two distinct lines have two common points M and K?
Line b passes through point E and does not pass through point D. Which of these points lies on the line b [a]?
Draw two lines that intersect at point N.
Points P and K lie on the same line. Write down how you can mark this line.
Point C lies on the segment PM [BC]. Which of the points C, P and M [A, B and C] lies between two other points?
The segment XY intersects the line a [c], but the segment XM [AC] does not intersect this line. Does the line segment Y M [ BC] intersect the line a [c]?
Point C [A] lies on the ray AB [BC]. What is another name for this beam?
Dictation 2. Angle. Angle bisector.
Dictation 3. The concept of definitions, axioms, theorems.
What are the main properties of the simplest geometric figures, accepted without proof, called? [ What is the name of the reasoning, showing the correctness of any geometric statement?] .
Write the word definition. [What is the name of a geometric statement, the correctness of which is established by proof?].
What is the name of the reasoning showing the correctness of any geometric statement? [What are the main properties of the simplest geometric figures that are accepted without proof called?].
What is the name of a geometric statement, the correctness of which is established by proof? [Write the word "definition"] .
What: an axiom, a theorem or a definition - is the sentence: “Two lines in a plane are called parallel if they do not intersect”? [What is the name of that part of the statement of the theorem, which says what is given?].
What: an axiom, a theorem or a definition - is the sentence: “A line that intersects one of two parallel lines intersects the second”? [What is the name of that part of the statement of the theorem, which says what must be proved?].
What: an axiom, a theorem or a definition - is the sentence: “Through a point that does not lie on a given line, it is possible to draw on a plane no more than one line parallel to the given one”? ["Two lines in a plane are said to be parallel if they do not intersect"]?
Dictation 4. Adjacent and vertical corners.
What is the angle adjacent to a right angle? [One of the adjacent corners is right. What is the second angle?].
The sum of two angles with a common side is 180 0 . [The sum of two angles is 180 0 .] Are these angles necessarily adjacent?
Complete the sentence: "If angles 1 and 2 are adjacent, then their sum is...". [“Two angles are called adjacent if one of their sides is common, and the other two ...”].
Complete the sentence: “Two angles are called adjacent if one side of them is common, and the other two ...”. ["If angles 1 and 2 are adjacent, then their sum..."] .
One of the four angles resulting from the intersection of two lines is equal to 130 0 . What are the rest of the angles?
Two corners with a common vertex are equal [not equal]. Do they have to be vertical? [Are they vertical?].
Two corners have a common vertex. The first angle is 60 0 , the second 120 0 . Are these vertical corners? [What is the angle if the vertical angle with it is 130 0 ?].
Topic 2. Mutual arrangement of lines.
Dictation 1. Parallel lines. Signs of parallel lines.
Draw two parallel lines AC and RK. [What are two straight lines that lie in the same plane and do not have common points called?].
Write using symbols: lines AC and MB [CT and HP] are parallel.
Complete the sentence: "If the line a is parallel to line b, and the line b parallel to a straight line With, then ... "[" Two lines parallel to the third, ... "] .
What angles are called external cross-lying? [What angles are called internal cross lying?].
The internal one-sided angles add up to 180 0 , and one of the internal cross-lying angles is equal to 45 0 . What is the second of the interior cross-lying angles? [What is the sum of internal one-sided angles, if the internal cross-lying angles are equal?].
Look at the desk. a is parallel to c, angle 1 is 70 0 [angle 2 is 110 0 ]. Find all other angles formed by the intersection of two parallel lines with a third line.
Dictation 2. Intersecting lines. Perpendicular and oblique.
Which lines are called intersecting? [Perpendicular].
Given a line a and points C belonging to a, B not belonging to a. Draw a line at perpendicular to line a through point C [through point B] using a drawing triangle.
Define a perpendicular [oblique] to a straight line.
At what angle does a person standing in the ranks turn at the commands: “to the right” [“to the left”]?
Draw an obtuse angle ACB. Draw perpendicular lines through the vertex of angle C to rays CA [CB].
Topic 3. Triangles.
Dictation 1. Triangles and its types.
Name the sides [vertices] of triangle AOC.
Name the types of triangles according to the length of the sides [by the size of the angles].
Construct an equilateral triangle [isosceles triangle].
Can a triangle have two obtuse angles [two right angles]. Justify the answer.
Find the sides of an equilateral triangle if its perimeter is 30cm.
Find the third side of an isosceles triangle if two of its sides are known: 5cm and 6cm.
Find the perimeter of a triangle if you know the lengths of its sides 15cm, 14cm, 5cm.
Dictation 2. The sum of the internal and external angles of a triangle.
How many external angles [internal angles] are in a triangle?
Are there triangles with angles 30 0 , 20 0 , 120 0 ?
Find the third angle of the triangle given two given angles: 39 0 , 50 0 .
Find the exterior angle at vertex A [at vertex B]. If angle A is 30 0 , angle B is 90 0 , angle C is 60 0 .
Dictation 3. Equality of triangles.
Formulate the first [second] sign of equality of the triangle.
Complete the sentence: “In triangles PQR and CST, side PR is equal to CT, side QR
is equal to ST. What other condition must be met for these triangles to be equal in the first criterion? [“The first sign of equality of triangles is a sign of equality in …”] .
In triangles MPQ and LKT, the angles [side] M and Q [СD] are equal [equal to] respectively the angles [side] L and T [RK, angle D is equal to angle K]. What other condition must be met for these triangles to be equal in the second criterion?
In triangles BOC and MAE, sides BO and MA, OS and AE are equal [In triangles ACM and VEK, sides AC and CM are equal, respectively, to sides BE and EK.] Are these triangles necessarily congruent?
Dictation 4. Properties of an isosceles triangle.
Complete the sentence: “In an isosceles triangle, the angles ...” [“The median drawn to the base ...”].
In an isosceles triangle, a line segment is drawn connecting the vertex to a point lying on the base. This segment is not the median [height] of the given triangle. Can it be its bisector [median]?
Side AC is the base of the isosceles triangle ABC, BM is its height [median]. The angle ABC is equal to 68 0 . It is equal to the angle SVM [Navy].
In an isosceles triangle XYT, side XY is the base [sides MP and RK are sides]. What angles are equal in this triangle?
In a triangle, not one of the heights [medians] coincides with any of the bisectors. Is it an isosceles triangle?
Dictation 5. Right triangles.
Complete the sentence: “What is the name of a triangle with an angle of 90 0?” ["A triangle that has a right angle is called..."].
Complete the sentence: "The side of a right triangle adjacent to the right [opposite right] angle is called ...".
In triangle MNK, angle M is a right angle. What is the segment NK in this triangle, a leg or hypotenuse.
The hypotenuses of two right triangles are equal. One of the angles of the first triangle is 50 0 , and one of the angles of the second is 70 0 . Are these triangles equal?
One of the angles adjacent to the leg of a right triangle is 50 0 . What is the second angle adjacent to the same leg? [One of the corners of a right triangle adjacent to the hypotenuse is 50 0 . What is the second angle adjacent to the hypotenuse?] .
In a right triangle, one of the angles is 48 0 . What are its other two angles?
Topic 4. Circle. Geometric constructions.
Dictation 1. Circle and its elements. central corners.
Complete the sentence: "The set of points in the plane equally distant from a given point ..." ["A chord passing through the center of the circle ..."] .
What is the name of the line segment that connects two points of a circle [a point of a circle with its center]?
Define a central angle [chord].
Find the length of the radius of the circle if the length of the diameter is 160mm.
Find the length of the diameter of the circle if the length of the radius is 42cm.
Draw a circle with a radius of 3 cm. Draw a chord AC [BM diameter].
Find the angular measure of the arc if the degree measure of the corresponding central angle is 48 0 .
Dictation 2. Mutual arrangement of a straight line and a circle. Mutual arrangement of two circles.
1. Define a secant [tangent].
2. Construct a tangent [secant] to the circle.
3. What tangency of the circle is called internal [external]? Give an example.
4. Set the relative position of the circle, if R is 5cm, r is 3cm; OO 1 =7cm.
Dictation 3. A circle circumscribing a triangle. A circle inscribed in a triangle.
1. Complete the sentence: “If the circle is inscribed in a triangle, then it is ...” [“If the circle touches all sides of the triangle, then it is ...”].
2. Complete the sentence: “If the circle touches all sides of the triangle, then this triangle is called ...” [“If the triangle is described near the circle, then this circle ...”].
3. Given a circle. Draw an arbitrary triangle inscribed [described] in this circle.
4. A circle with center O is circumscribed about a triangle MPA. The segment MO is 9cm. What is the segment RO equal to?.
Preface………………………………………………………………………
7th grade. Algebra
Topic 1 Degree with natural and integer indicators…………………...
Topic 2 Monomial and polynomial …………………………………………………...
Topic 3 Abbreviated multiplication formulas………………………………….
Topic 4 Rational fractions……………………………………………….…..
Topic 5 Elements of approximate calculation…………………………….....
7th grade. Geometry
Topic 1 Initial geometric information…………………………….…..
Topic 2 Mutual arrangement of lines………………………………….….
Topic 3 Triangles……………………………………………………….….
Topic 4 Circle. Geometric constructions…………………………...
Mathematical dictations
Compiled
primary school teacher
Kuchevskaya N.V.
Math Dictation #1
- How many times is 4 greater than 12?
- 7 times 8.
- How many times is 18 greater than 9?
- What number must be multiplied by 6 to get 54?
- The first factor is 3, the second is unknown. The product is 27. Find the second factor.
- What number must be multiplied by 2 to get 14?
- Reduce 32 by 8 times.
- How many times does 7 repeat in 35?
- I thought of a number, increased it by 8 times and got 72. What number did I think?
- The dividend is 63, the divisor is 9. Find the quotient.
(3, 56, 2, 9,9, 7, 4, 5, 9, 7)
Mathematical dictation No. 2
- Increase 5 by 9 times.
- What number must be multiplied by 3 to get 7?
- How many times is 15 greater than 5?
- The dividend is 56, the divisor is 8. Find the quotient.
- What number must be multiplied by 7 to get 35?
- The first factor is 4, the second factor is 7. Find the product.
- Reduce 48 by 6 times.
- The dividend is unknown, the divisor is 9. The quotient is 3. Find the dividend.
- Multiply 2 by 8.
(45, 21, 3, 42, 7, 5, 28, 8, 27, 16)
Math Dictation #3
- How many times does 8 repeat in 24?
- How many times is 20 greater than 4?
- How many times 6 is in 48?
- Find the product of the numbers 4 and 9.
- Product 24, second factor 6. Find the first factor.
- What number must be multiplied by 8 to get 8.
- I thought of a number, increased it by 6 times and got 54. What number did I think?
- The dividend is 42, the divisor is unknown. Private 6. What is the divisor?
- 3 times 7.
- Decrease 8 by 4 times, increase the resulting number by 3, and increase this newly obtained number by 2 times.
(3, 5, 8, 36, 4, 64, 9, 7, 21, 10)
Math Dictation No. 4
- What is the product of the numbers 6 and 3?
- Find the quotient of numbers 14 and 7.
- What number must be multiplied by 3 to make 12?
- How many times does 6 repeat in 30?
- How many units is 18 more than 6?
- The quotient is 2. The dividend is 20. What is the divisor?
- Product 36. First factor 9. What is the second factor equal to?
- 7 increase by 4 times.
- Multiply the number 8 and 3 by 4 times.
- If 4 is multiplied by 9, then the resulting number will be 6 times the number I had planned. What number did I think?
(18, 2, 4, 5, 12, 10, 4, 28, 6, 6)
Math Dictation No. 5
- Find the quotient of numbers 72 and 8.
- How many times is 3 less than 15?
- What number must be multiplied by 6 to get 24?
- Find the product of the numbers 8 and 7.
- How many times does 9 repeat in the number 27?
- I conceived a number, reduced it by 8 times and got 6. What number did I conceive?
- The first factor is 4, the second is 8. Find the product.
- If 56 is divided by 7, then the resulting number will be 8 times less than the number I planned. What number did I think?
- What number must be multiplied by 7 to get 9.
- Dividend 81, quotient 9. What is the divisor?
(9, 5, 4, 56, 3, 48, 32, 64, 63, 9)
Math Dictation No. 6
- Find the product of the numbers 7 and 4.
- How many times 8 is in 32?
- What number must be multiplied by 6 to get 30?
- How many times is 63 greater than 9?
- Find the quotient of numbers 36 and 9.
- 7 increase by 3 times.
- I thought of a number, increased it by 7 times and got 42. What number did I think?
- What number must be multiplied by 6 to get 1?
- Divisor 2, quotient 8. Find the dividend.
- The product is 64, the first factor is 8. Find the second factor.
(28, 4, 5, 7, 4, 21, 6, 6,16, 8)
Math Dictation No. 7
- The first factor is 9, the second is 3. Find the product.
- Product 54, one of the factors 6. Find the unknown factor.
- How many times is 6 less than 18?
- Increase 9 by 8 times?
- How many times will 2 repeat in 187
- Divisible 35, quotient 7. Find the divisor.
- What number must be multiplied by 8 to get 6?
- I conceived a number, reduced it by 9 times and got 4. What number did I conceive7
- Find the product of the numbers 9 and 5.
(8, 27, 9, 3, 72, 9, 5, 48, 36, 45)
Math Dictation No. 8
- What number is multiplied by 7 to get 63?
- Find the product of the numbers 6 and 9.
- How many times is 12 greater than 3?
- How many times does 5 repeat in 40?
- Divisible 12, quotient 2. Find the divisor.
- What number must be multiplied by 9 to get 9?
- One of the factors of 4, the product of 32. Find the unknown factor.
- Private 30, dividend 90. Find the divisor.
- I conceived a number, reduced it by 9 times and got 9. What number did I conceive7
- I thought of a number, increased it by 7 times. I added 8 to the received number and got 50. What number did I think?
(9, 54, 4, 8, 6, 1, 8, 3, 81, 6)
Math Dictation No. 9
- Divide 28 by 4 and multiply by 5.
- Triple 24.
- Private 35 and 5 increase by 8 times.
- What number must be multiplied by 6 to get 6?
- Find the product of the numbers 8 and 6.
- How many times is 18 greater than 9?
- How many times is 2 in 10?
- What number was reduced by 7 to get 9?
- Find the quotient of numbers 54 and 6.
- I conceived a number, reduced it by 6 times and got 7. What number did I conceive?
(35, 8, 56, 36, 48, 2, 5, 63, 9, 42)
Math Dictation No. 10
- How many times 4 is in 16?
- Find the quotient of numbers 56 and 7.
- What is the product of the numbers 3 and 9?
- What number must be multiplied by 9 to get 8?
- What number must be multiplied by 5 to get 35?
- Reduce 48 by 6 times.
- Increase 4 to 5 times.
- The first factor is 3, the second is 7. What is the product?
- Divisible 18, divisor 3. Find the quotient.
- 7 increase by 3 times, increase by 69, and then decrease by 10 times.
(4, 8, 27, 72, 7, 8, 20, 21, 6, 9)
