Numbers from 1 to 100
If you study using workbooks from Moro M.I. and Volkova S.I., then your program is a Russian school and you are incredibly lucky. This is one of the most consistent programs, at least in terms of learning mathematics. Moreau et al have done a great job on the textbooks and workbooks. The tasks are not difficult; every child can complete them independently. But when you are tormented by doubts, you can check the answers using the guru’s workbook 7.
Our GDs or ready-made homework assignments have been checked by the teacher, which means they are correct. On this page below you will find detailed answers to the tasks in the first part of the workbook. Check, but don’t copy, because this will determine how you learned, how you learned the lesson, how you learned the topic of mathematics.
Mathematics is an important science that will be useful in life, and yet it is better to do your homework on your own and then check with a solution book than to copy the answers. Dear parents, GDs are primarily intended for you, so that you can check the work your child has done at home and if something doesn’t work out for him, explain it.
Detailed analysis of tasks of part 1 of the workbook for grade 2
Numbers from 1 to 100
Numbering
Answers 7 gurus to page 3
1. Write one more number in each row.
20, 18, 16, 14, 12, 10.
3, 6, 9, 12, 15.
2. Calculate.
3+5=8 7+8=15 14-6+7=15
6+4= 10 6+7=13 8+5-9=4
10-3=7 9+5=14 16-7-5=4
3. Without calculating, underline in each pair the example whose answer is greater.
8+6=14 12-3=9 14-8=6
8+7=15 12-4=8 15-8=7
Test yourself with calculations.
4. Find out how many centimeters one segment is longer than the other, in different ways.
The first way is to measure with a ruler: the length of the first segment is 8 cm, the length of the second segment is 5 cm, calculate the difference: 8 - 5 = 3 (cm)
The second method: mark a 5cm point on 1 segment and measure the difference with a ruler.
Answer: 3 cm.
Answers 7 gurus to page 4
5. The houses have settled.
10 11
9 1 6 5
3 7 7 4
2 8 8 3
5 5 9 2
4 6 10 1
6 + 5 > 10 10 - 2 < 9 5 = 9 - 4
9 + 1 < 11 13 - 6 = 7 8 < 15 - 6
4 + 9 = 13 16 - 9 > 6 4 = 11 - 7
Highlight all inequalities.
7. 1) Write the number that immediately follows the number when counting: 9, 18, 14, 16, 19.
2) Write the number that is mentioned before the number when counting: 20, 17, 15, 13, 10.
7 guru answers to page 5
8. Solve problems orally. Connect a line between the circle with the problem number and the card on which its solution is written.
6 - 2 = 4
(3) There were 6 notebooks on the desk. Julia put 2 notebooks in her briefcase. How many notebooks are left on the desk?
(4). 6 tulips bloomed in the first flowerbed, and 2 fewer tulips in the second. How many tulips bloomed in the second flowerbed?
(5) There are 6 theaters and 2 museums in the city. How many more theaters are there in the city than museums?
(6) There are 6 girls in the yard. 2 of them are girls playing with dolls, and the rest are jumping over a rope. How many girls jump rope?
6 + 2 = 8
(1) Yura is 6 years old, and his sister is 2 years older. How old is your sister?
(2) Tanya cut off first 6 dm from the tape, and then 2 dm. How many decimeters did Tanya cut from the tape?
7 guru answers to page 6
9. Write down how many cells are in each picture.
10. Write down how many units there are in the number that contains:
2 dec. 9 units = 29 8 dec. 8 units = 88
9 dec. 2 units = 92 7 dec. 1 unit = 71
5 dec. = 50 10 dec. = 10
3 dec. 9 units = 39 9 dec. 6 units = 96
12
7 4 1 9 2 5 3 6 8
5 8 11 3 10 7 9 6 4
GDZ 7 guru to page 7
12. Condition. In the first bed, 6 zucchini grew, and in the second, 4 more zucchini.
Questions:
1) How many zucchini grew in the second bed? ⇒ 6 + 4 = 10
2) How many zucchini grew in two beds? ⇒ 6 + 6 + 4 = 16
Connect a line between the card with the question of the problem and the card with its solution.
13. Make up problems about birds from the table, filling in the boxes with your numbers. Write the answer to each problem in the third row of the table.
It was 9 pm. 10 pt. 7 pt. 12 pt.
3 birds flew away. 5 pt. 3 pt. 8 pt.
6 pts left. 5 pt. 4 pt. 4 pt.
Answers website to page 8
14. Connect the segments with dots in numerical order, starting from point No. 41.
Bat
15. Write the numbers in numbers.
Eighty one - 81 Forty seven - 47
Eighteen - 18 Ninety - 90
Seventy four - 74 One hundred - 100
7 guru answers to page 9
16. Using no more than one number 2, 3, 4, 5 in each equation, fill in the boxes so that the equations are true.
2 + 3 + 5 = 10 5 + 4 + 2 = 11
5 + 4 – 2 = 7 5 + 4 + 3 = 12
5 – 3 + 4 = 6 5 – 3 – 2 = 0
5 + 3 – 4 = 4 3 + 4 + 2 = 9
17. 13 14
∧ ∧
4 9 8 6
7 6 5 9
5 8 6 8
9 4 7 7
12 1 4 10
18. Olya bought a notebook for 6 rubles. and a pen for 5 rubles, and she still has 4 rubles left. How much money did Olya have before buying the notebook and pen?
T. – 6 rub. |
R. – 5 rub. ) ? R.
O. – 4 r. |
1) 6 + 5 = 11 (r.)
2) 11 + 4 = 15 (r.) – total.
Answer: 15 rub. Total.
Answers 7 gurus to page 10
19. Compose three problems from the table and solve them.
Was it 15 m? 18 m.
Left 8 m. 9 m. ?
Left? 3 m. 10 m.
1. 15 – 8 = 7 (m.)
Answer: 7 m.
2. 9 + 3 = 12 (m.)
Answer: 12 m.
3. 18 – 10 = 8 (m.)
Answer: 8 m.
20. Increase by 7:
6 10 8 7 9
13 17 15 14 16
Decrease by 6:
13 15 12 14 11
7 9 6 8 5
21. 11 – 5 = 6 8 + 4 + 5 =17 17 – 8 + 5 = 14
9 + 4 = 13 7 + 9 – 8 = 8 13 + 5 – 9 = 9
8 + 6 = 14 8 + 3 – 7 = 4 12 + 3 – 7 = 8
GDZ 7 gurus to page 11
22. Without completely filling the table with numbers from 1 to 100, write down the numbers covered by the figures.
2) Write the numbers in the table: 49, 58, 37, 60, 71, 85.
Answers 7 gurus to page 12
23. Without filling in the boxes with numbers, insert comparison signs into the circles where this can only be done in one way.
5? < 9? 7? > 4? 5? 5? ? < ??
24. Yura and Anton played skittles and knocked down only 13 pins. How many pins could each boy knock down if Anton knocked down more each time than Yura?
Yura 1 2 3 4 5 6
Anton 12 11 10 9 8 7
25. Dasha drew two segments: blue and red. The length of the blue segment is 3 cm less than 1 dm, and the length of the red segment is 2 cm less than 1 dm. Which segment is longer?
Underline: blue, red.
Check your answer by drawing the following line segments.
7 cm __________________
8 cm _____________________
26. Insert comparison signs into the circles without filling in the boxes with numbers.
1 cm? mm< 2 см? мм 5 см 9 мм 5 см? мм
4 cm 1 mm > 3 cm? mm 9 cm 9 mm< ? дм
Answers 7 gurus to page 13
27. Of two problems, make one that can be solved in two steps, and cross out the extra words in the given text.
Solve the given problem.
1) There were 10 people at the skating rink. 3 more people came. How many people were there at the skating rink?
2) There were 13 people at the skating rink. 5 people left the skating rink. How many people are left at the skating rink?
B. – 10 o’clock
P – 3 hours.
U – 5 hours
ABOUT - ? h.
1) 10 + 3 = 13 (h.) – became
2) 13 – 5 = 8 (hours)
Answer: 8 hours left
Complete the schematic drawing for this problem.
28. Write the numbers in decreasing order.
100, 97, 89, 81, 78, 64, 60, 57, 53, 48, 40, 36, 29, 15
Answers 7 gurus to page 14
29. Insert one such number into each box to obtain true inequalities.
41 > 40 51 < 52 18 < 28 77 > 67
Underline those inequalities where there may be more than one answer.
30. 1) Write down all two-digit numbers less than 40 in which the number of units is 5 more than tens.
2) Write down all two-digit numbers from 30 to 100 in which the number of tens is 2 greater than the number of units.
31, 42, 53, 64, 75, 86, 97
31. Write the numbers 36, 54, 46, 40, 56, 24 in the correct cells of the table.
Number greater than 40 less than 40
Ends with the number 4 54 24
Ends with the number 6 56, 46 36
Answers 7 gurus to page 15
32. The box contains cubes of three colors: red, blue and green. There are 14 red cubes, 6 blue cubes, and 20 green cubes. How many cubes are there in total in this box?
In each group of segments, mark those that represent red (k), blue (s), and green (h) cubes, and solve the problem.
Cubes
20 + 14 + 6 = 40 (k.)
Answer: 40 cubes
33. The red ribbon is longer than the white one, but shorter than the blue one. Mark on the schematic drawing the segments that represent these tapes, and write down which tape is the shortest and longest.
Shortest white ribbon.
The longest blue ribbon.
GDZ 7 guru to page 16
34. Divide the numbers 16, 8, 46, 37, 9, 10 into two groups and write down the name of each group.
1) 8, 9 – unambiguous.
2) 10, 16, 37, 46 – two-digit.
35. Write down the numbers of all rectangles.
36. 10 + 8 – 7 = 11 8 + 8 – 9 = 7
13 – 7 + 8 = 14 9 – 6 + 8 = 11
37. Draw three segments. The first is 5 cm long, the second is 2 cm longer than the first, and the third is 4 cm longer than the second. How many centimeters is the third segment longer than the first?
11 – 5 = 6 (cm)
Answer: 6 cm longer.
Answers 7 gurus to page 17
38. Insert the action sign “+” or “-” into the circles and fill in the gaps with such numbers to obtain correct equalities.
13 – 6 + 9 = 16 15 – 7 + 10 = 18
3 + 9 – 4 = 8 11 – 2 – 7 = 2
14 – 9 + 8 = 13 12 – 5 + 8 = 15
39. 1 m > 9 dm 4 dm = 40 cm
2 m > 100 cm 6 cm< 70 мм
40. Calculate.
3 + 8 = 11 5 + 3 = 8 8 – 2 = 6
7 + 6 = 13 50 + 30 = 80 80 – 20 = 60
9 + 7 = 16 70 + 20 = 90 90 – 40 = 50
41. Luda found 10 porcini mushrooms, and Artyom found 3 mushrooms less. Find and underline the question for this condition, the answer to which will solve the problem in two steps.
1) How many mushrooms did Artyom find?
2) How many more mushrooms did Luda find than Artyom?
3) How many mushrooms did Lyuda and Artyom find in total?
Write down the answer to the question in the problem.
1) 10 – 3 = 7 (gr.)
2) 10 + 7 = 17 (gr.)
Answer: a total of 17 mushrooms were found.
Answers 7 gurus to page 18
42. Guess which length units are missing and write them down.
1) Desk height – 60 cm.
2) The student’s height is 1 m 30 cm.
3) The height of a three-story house is 10 m.
4) Thumbelina’s height is 25 mm.
43. How many segments are there in the drawing? 3
Write down the length:
the longest segment is 9 cm;
the shortest segment is 3 cm.
How to find out the length of the remaining segment without measuring it? 9 – 3 = 6 (cm)
44. There are 8 red cubes in a box, and there are 2 more green cubes than red ones. How many red and green cubes are there in total in the box? What notes were made according to the conditions of the problem? Emphasize them.
8 – 2 8 + 2 8 – 2 + 8 8 + 2 + 8 8 + 2 – 8
Answers 7 gurus to page 19
45. There were 10 apples in the vase, and 8 on the plate. They took 7 apples. How many apples are left in the vase and on the plate together? Consider different solutions, fill in the missing numbers and write down what you learn from each action.
1) 10 – 7 = 3 (apples) – apples left in the vase
2) 8 + 3 = 11 (apples) – only apples left
Answer: 11 apples.
1) 8 – 7 = 1 (apples) – apples left on the plate
2) 10 + 1 = 11 (apples) – only apples left
Answer: 11 apples.
1) 10 + 8 = 18 (apples) – there were only apples
2) 18 – 7 = 11 (apples) – only apples left
Answer: 11 apples.
46. Find out how many centimeters one piece is longer than another without measuring them.
Answers 7 gurus to page 20
47. 11 – 4 – 6 = 1 13 – 9 + 7 = 11
7 + 9 – 8 = 8 14 – 8 + 3 = 9
6 + 5 – 3 = 8 12 – 5 + 7 = 14
8 + 9 – 10 = 7 16 – 7 + 7 = 16
48. 29 = 20 + 9 38 = 30 + 8
75 = 70 + 5 87 = 80 + 7
60 = 68 – 8 9 = 49 – 40
49. Make up correct equalities and inequalities using the given cards. Write them down.
6 < 8 6 + 4 > 11 – 5 15 – 9 < 8 15 – 9 = 6 6 + 4 = 8 + 2
Answers from 7 gurus to page 21
50. 5 + 9 = 14 13 – 8 = 5 14 – 8 + 40 = 46
9 + 2 = 11 15 – 9 = 6 12 – 3 + 80 = 89
8 + 9 = 17 16 – 7 = 9 18 – 4 + 60 = 74
51. There were 12 pencils in the box. Lena first took 3 pencils from the box, and then 2 more. How many pencils were left in the box? Solve the problem in different ways.
Method 1:
1) 12 – 3 = 9 (k.)
2) 9 – 2 = 7 (k.)
Method 2:
1) 2 + 3 = 5 (k.)
2) 12 – 5 = 7 (k.)
Answer: 7 pencils left.
52. 7 + 3 + 5 = 15 15 – 5 – 4 = 6
9 + 3 – 10 = 2 13 – 6 + 9 = 16
8 + 4 – 2 = 10 18 – 8 – 3 = 7
8 + 7 – 3 = 12 11 – 5 + 7 = 13
53. Zhenya had the same amount of money as Sasha. Sasha bought the album for 20 rubles, and Zhenya bought paints for 22 rubles. Which of the boys has less money left and by how many rubles? Just write down the answer.
Zhenya has 2 rubles.
Answers 7 gurus to page 22
54. 45 – 40 = 5 30 + 10 = 40 90 + 4 = 94
98 – 30 = 68 84 – 80
= 4 89 – 80
= 9
73 – 70 = 3 80 – 20 = 60 58 – 50 = 8
Find and underline the same subtrahends.
55.28 cm< 3 дм 1 м >99 cm
12 cm > 100 mm 32 cm > 2 dm 3 cm
10 dm > 50 cm 43 dm > 3 m 4 dm
56. Choose the pair of numbers that can be used to supplement the condition of the problem. Fill in the boxes with the selected numbers and solve the problem.
Misha paid 90 rubles for paints, an album and a brush. The paints cost 60 rubles, and the brush cost 10 rubles. How much did the album cost?
Paints – 60 rub.
Pencils – 10 rub.
Album - ? R
90 – 60 – 10 = 20 (r.)
Answer: the album cost 20 rubles.
Explain why other pairs of numbers are not suitable.
In total, Misha paid 90 rubles. In the first pair of numbers, their sum will be 90 (r.), that is, the album costs 0 rub. – this pair of numbers is not suitable. In the last pair of numbers, their sum will be 100 (r.) - this is already more than Misha spent, and this pair of numbers is not suitable.
Answers 7 gurus to page 23
57. There were 6 lined notebooks on the table, and 2 more notebooks in the square. How many lined and squared notebooks were on the table?
A schematic diagram has been drawn up for this task:
Lined notebooks
Checked notebooks
And a schematic drawing:
Lined notebooks
Checked notebooks
Complete the schematic drawing with the necessary numbers and solve the problem.
1) 6 + 2 = 8 (t.)
2) 6 + 8 = 14 (t.)
Answer: 14 notebooks in total.
58. Andrey is 2 years older than Sasha, and Sasha is 3 years older than Vadim. How many years is Vadim younger than Andrey?
If the solution is difficult, make a schematic drawing of the problem.
3 + 2 = 5 (l.)
Answer: 5 years younger.
Answers from 7 gurus to page 24
59. Calculate and color according to the answers received.
Answers from 7 gurus to page 25
1. Connect a line between the card on which the example is written and the card on which its answer is written.
7 + 4 → 11 18 - 9 → 9
5 + 8 → 13 16 - 8 → 8
9 + 6 → 15 15 - 9 → 6
5 + 7 → 12 13 - 6 → 7
9 + 5 → 14 12 - 8 → 4
8 + 9 → 17 11 - 6 → 5
2. How many segments are there in the drawing?
There are 6 segments in the drawing.
Draw a segment whose length is equal to the length of the shortest segment in the drawing.
The length of the shortest segment is 2 cm.
Answers 7 gurus to page 26
3. For each task, find the correct answer and color in the card on which it is written.
In what number are there 4 des. and 7 units? - 47
What number is less than 70 by 1? - 69
Find the sum of the numbers 8 and 50. - 58
Find the difference between the numbers 94 and 4. - 90
Find a number that has 5 decimals and 2 less ones than tens. - 53
What number was increased by 7 if we got 30? - 23
What number was reduced by 9 if we got 21? - thirty
Answers 7 gurus to page 27
4. 1) Insert in the circle next to each problem a sign of the action with which it is solved.
There are 15 words in the crossword puzzle. Katya has already guessed 8 words. How many words does she have left to guess?
+ The children picked 10 apples from one apple tree, and 8 from the other. How many apples did the children pick from the two apple trees?
- The first disc contains 15 songs, and the second – 8 songs less. How many songs are on the second disc?
- Zhenya is 11 years old, and Sasha is 8. How many years is Zhenya older than Sasha?
2) Write down the solution to the problem for which the schematic drawing is given. Put the name on it next to the numbers.
15 – 8 = 7 (p.)
Answer: 7 songs are recorded on the second disc.
GDZ on the topic "Addition and subtraction"
Answers 7 gurus to page 28
1. Calculate.
12 - 7 = 5 11 - 4 = 7 84 - 80 = 4
9 + 8 = 17 16 - 7 = 9 37 - 7 = 30
11 - 3 = 8 18 - 9 = 9 42 - 40 = 2
5 + 6 = 11 15 - 6 = 9 59 - 9 = 50
2. Underline the incorrect inequalities and write them correctly.
11 - 3 > 11 - 4 7 + 5 < 5 + 7
12 - 4 > 10 - 4 8 + 6 < 9 + 6
12 + 0 > 11 + 0 16 - 0 < 16 + 0
15 - 8 > 15 - 7
20 - 2 > 20 - 3
15 - 8 < 15 - 7 7 + 5 = 5 + 7 16 - 0 = 16 + 0
3. Fill in the blanks with numbers such that the equalities are correct.
90 - 30 + 6 = 66 80 - 50 + 9 = 39
40 + 20 + 10 = 70 30 + 60 + 7 = 97
Answers 7 gurus to page 29
4. Find the rule according to which three numbers are written in each frame. Write the required numbers in the boxes.
8, 5, 9 9, 6, 10 13, 10, 14
10, 7, 11 12, 9, 13
5. The first barrel contains 7 kg of honey, and the second barrel contains 5 kg more. How many kilograms of honey are in these barrels?
1) Choose a schematic drawing that matches the problem and fill in the circle with its number. Solve the problem.
Drawing No. 2 approaches the problem.
1) 7 + 5 = 12 (kg) - in the second barrel
2) 7 + 12 = 19 (kg) - total
Answer: 19 kg in total.
2) What word written on the card should replace one word in the problem statement so that the remaining schematic drawing corresponds to the new problem? Color in this card.
less
Answers from 7 gurus to page 30
6. 1) Complete the solutions and explain how to reason when making calculations.
7 + 5 = 12 13 - 8 = 5 13 - 8 = 5
5 (3 and 2) 8 (3 and 5) 13 (10 and 3)
7 + 3 + 2 = 12 13 - 3 - 5 = 5 10 - 8 + 3 = 5
2) Calculate.
9 + 4 = 13 12 - 8 = 4 16 - 9 = 7
7 + 6 = 13 11 - 5 = 6 17 - 8 = 9
8 + 3 = 11 14 - 7 = 7 12 - 3 = 9
7. Draw three segments. The first segment is 1 dm long, the second is 3 cm shorter than the first, and the third is 4 cm longer than the second.
The first segment is 10 cm
Second segment - 7 cm
Third segment - 11 cm
How many centimeters is the first segment shorter than the third?
Answers 7 gurus to page 31
8. Connect with a line the circle with the task number and the card with a schematic drawing for it. Fill in the circle with the problem number and the frame with its solution with the same color.
4 + 3 = 7 (r.) (1) The wolf and the fox caught 7 fish. The wolf caught 3 fish. How many fish did the fox catch?
7 – 3 = 4 (r.) (2) The wolf and the fox caught 7 fish. The fox caught 4 fish. How many fish did the wolf catch?
7 – 4 = 3 (r.) (3) The fox caught 4 fish, and the wolf caught 3 fish. How many fish did the wolf and the fox catch together?
9. 1) 9 + 8 = 9 + 1 + 7 7 + 6 = 7 + 3 + 3
8 + 5 = 8 + 2 + 3 9 + 7 = 9 + 1 + 6
2) 7 + 4 = 3 + 8 4 + 9 = 6 + 7
6 + 9 = 8 + 7 9 + 9 = 9 + 9
Answers 7 gurus to page 32
10. 14 – 6 = 14 – 4 – 2 12 – 8 = 10 – 8 + 2
15 – 9 = 15 – 5 – 4 13 – 7 = 10 – 7 + 3
11 – 8 = 11 – 1 – 7 16 – 8 = 10 – 8 + 6
11. After Oleg built a tower of 8 cubes, he had 9 cubes left. How many cubes did Oleg have at first?
8 + 9 = 17 (k.)
Answer: There were 17 cubes.
12. Oleg had 17 cubes. He built a tower out of 8 cubes. How many cubes are left?
Make a schematic drawing and solve the problem.
17 – 8 = 9 (k.)
Answer: 9 cubes left.
13. Look at the drawing. Which fruit is heavier: an apple or a pear? Color this fruit.
Answers from 7 gurus to page 33
14. Draw hands on the clock dial so that they show the time written under the clock.
3 hours; 12 hours 30 minutes; 7 hours 45 minutes; 10 hours 15 minutes
15. 6 + 8 – 4 = 10 12 – 5 + 10 = 17
4 + 9 – 5 = 8 14 – 8 + 7 = 13
16. Find errors and perform the calculation correctly.
6 + 7 – 3 = 9
11 – 3 + 6 = 14 8 + 7 + 1 = 15
14 – 8 – 5 = 0
12 – 4 – 7 = 1 6 + 9 – 5 = 9
6 + 7 – 3 = 10 8 + 7 + 1 = 16
14 – 8 – 5 = 1 6 + 9 – 5 = 10
17. Place numbers under the clock so that they show the time in order, starting at two o’clock.
Two o'clock shows clock No. 5 - under it we put 1, clock No. 2 shows 2 hours 30 minutes - under it we put 2, clock No. 1 shows 3 o'clock exactly - under it we put 3, clock No. 3 shows 3 hours 30 minutes - under it put 4, clock No. 4 shows 4 o'clock exactly - put 5 under it (numbers in empty cells in order from left to right: 3, 2, 4, 5, 1).
GDZ to page 34
18. 13 - 3 → 10 + 8 → 18 - 18 → 0 + 7 → 7 + 8 → 15 - 10 → 5 + 4 → 9 + 4 → 13 - 3
19. 1) They paid 35 rubles for the book and notebook. The book cost 30 rubles. How much does a notebook cost?
35 – 30 = 5 (r.)
2) Choose problems inverse to this one and fill in the circles with their numbers. Solve these problems.
(1) A book costs 30 rubles, and a notebook costs 5 rubles. How many rubles should I pay for the book and notebook together?
(2) Two in a circle The book costs 30 rubles, and the notebook costs 25 rubles. less. How much does a notebook cost?
(3) They paid 35 rubles for the book and notebook. The notebook costs 5 rubles. How much does the book cost?
1) 30 + 5 = 35 (r.)
3) 35 – 5 = 30 (r.)
Answers website to page 35
20. The broken line consists of two links. How long can they be if the length of the broken line is 11 cm? Record this data in the table.
Length of the first link (in cm) 10 5 7 8 9
Second link length (in cm) 1 6 4 3 2
21. 1) Without calculating, find and underline the correct equalities. Explain why they are true.
3 + 4 + 7 = 3 + 7 + 4
4 + 5 + 6 = 4 + 6 + 8
8 + 40 + 2 = 8 + 2 + 40
20 + 6 + 40 = 20 + 40 + 6
The equalities containing the same numbers on the right and left in the expression are true.
2) Calculate in the easiest way.
6 + 7 + 4 + 3 = 6 + 4 + 7 + 3 = 20
8 + 9 + 2 + 1 = 8 + 2 + 9 + 1 = 20
4 + 2 + 10 + 8 = 4 + 10 + 2 + 8 = 24
4 + 20 + 6 + 50 = 4 + 6 + 20 + 50 = 80
60 + 6 + 20 + 4 = 60 + 20 + 6 + 4 = 90
40 + 8 + 30 + 2 = 40 + 30 + 8 + 2 = 80
Decreasable 89 30
47 19
35 54 15 18 100
Subtracted 9 10 7
18 5
4 6
9 80
Difference 80
20 40 1 30 50
9 9 20
Answers 7 gurus to page 36
23. If the statement for this picture is correct, fill in the card with the answer “YES”; if it is incorrect, fill in the card with the answer “NO”.
1) All apples are different colors. YES
2) If the fruit is yellow, then it is a pear. NO
3) If the fruit is red, then it is an apple. YES
24. Underline the sequence of numbers that is composed according to the rule: each next number is 3 more than the previous one.
80, 77, 74, 71, 68, 65, 62, 59
50, 53, 57, 60, 63, 66, 69, 72
70, 73, 76, 79, 82, 85, 88, 91
25. After Vanya bought a notebook for 8 rubles, he had 10 rubles left. How many rubles did Vanya have before buying the notebook?
8 + 10 = 18 (r.)
Answer: it was 18 rubles.
Orally formulate two problems that are the inverse of this one.
Vanya had 18 rubles, he bought a notebook for 8 rubles. How many rubles does Vanya have left?
18 – 8 = 10 (r.)
Answer: 10 rubles left.
Vanya had 18 rubles, after he bought the notebook, he still had 10 rubles left. How much did the notebook cost?
18 – 10 = 8 (r.)
Answer: The notebook cost 8 rubles.
Answers 7 gurus to page 37
26. Color in all the geometric shapes so that all statements become true for this drawing.
1) All triangles in the picture are red.
2) If the figure is blue, then it is a quadrilateral.
The first triangle is red, the second rectangle is blue, the third triangle is red, the fourth square is blue.
27. Divide all records into two groups. Circle the records of one group with a red pencil, and the other with a blue pencil.
50 + 3
49 – 9
53 – 50
9 + 40
53 – 3
49 – 40
3 + 50
40 + 9
Or by the + and - sign
50 + 3 49 – 9
9 + 40 53 – 50
40 + 9 49 – 40
3 + 50 53 – 3
28. Calculate. Determine by what rule the examples in each column are compiled.
10 + 9 = 19 80 – 1 = 79 90 + 9 = 99
11 + 7 = 18 75 – 2 = 73 80 + 7 = 87
12 + 5 = 17 70 – 3 = 67 70 + 5 = 75
13 + 3 = 16 65 – 4 = 61 60 + 3 = 63
14 + 1 = 15 60 – 5 = 55 50 + 1 = 51
Using the rule you found, write two more examples in each column and carry out the calculations.
Answers 7 gurus to page 38
29. 53 min > 35 min 2 dm 8 cm< 82 см
45 min< 4 ч 5 мин 15 см = 1 дм 5 см
1 hour< 100 мин 46 см < 6дм 4 см
30. 60 buns were brought to the school cafeteria, and 20 less pies.
Orally pose a question so that the problem can be solved in two steps, and solve it.
How many buns and pies did they bring to the buffet?
1) 60 – 20 = 40 (p.)
2) 60 + 40 = 100 (pcs.)
Answer: 100 pcs. Total
31. Using a drawing, draw a broken line of three links, the length of which is equal to the length of segment AB.
The first link of the broken line is 2 cm, the second is 4 cm, the third is 3 cm.
32. Remember the rules about the order of actions and calculate.
The actions in the expression are performed in order, starting with the first. Actions in parentheses are performed first.
43 – 10 – 7 = 26 89 – (50 + 30) = 9
56 – 20 + 8 = 44 75 – (80 – 10) = 5
20 + 13 – 5 = 28 9 + (90 – 40) = 59
Answers 7 gurus to page 39
33. Write down the expressions and calculate their values.
1) From the number 38, subtract the difference between the numbers 17 and 9.
38 – (17 – 9) = 30
2) Reduce the sum of numbers 7 and 6 by 10.
(7 + 6) – 10 = 3
3) To the number 8 add the difference between the numbers 75 and 70.
8 + (75 – 70) = 13
4) Increase the difference between the numbers 13 and 4 by 20.
(13 – 4) + 20 = 29
34. There were 20 buckets of water in the barrel. When several buckets were taken from it to water the garden, 2 buckets of water remained in the barrel.
How many buckets of water were taken from the barrel?
20 – 2 = 18 (in.)
Answer: we took 18 buckets.
35. Compare the time shown on the clock. Using the same rule, draw the hands on the last clock.
Answers 7 gurus to page 40
36. The ruler is longer than the brush, and the handle is shorter than the brush. Which subject is the shortest?
Show on the schematic drawing which segment represents the ruler (l.), which segment represents the brush (k.) and which segment represents the pen (r.), and give an answer to the question of the problem.
Answer: the shortest object is a pen.
37. An apple is heavier than a pear, but lighter than an orange. Which fruit is easier: orange or pear?
Fill in the circle with the number of the schematic drawing for the problem and write down the answer.
Answer: lighter than a pear.
38. Sasha ran faster than Kolya, but slower than Dima. Who ran faster: Kolya or Dima? Make a schematic drawing and write down the answer.
Answer: Dima ran faster.
Answers from 7 gurus to page 41
39. Choose and underline the rule by which the sequence of numbers is composed:
14, 21, 28, 35, 42, 49, 56.
1) Each next number is 7 less than the previous one.
2) Each next number is 7 more than the previous one.
3) Each next number is 8 more than the previous one.
40. Make a sequence of 7 numbers in which each next number is 4 less than the previous one. Start with number 54.
54, 50, 46, 42, 38, 34, 30
41. Connect the card on which the sum of three terms is written with a line to the card on which the expression with the same value is written.
→ , , ,
→ , , ,
42. On what basis can the given numbers be divided into two groups? Write down the numbers of each group. 47, 39, 79, 27, 19, 17, 99, 87.
First group: 47, 27, 17, 87.
Second group: 39, 79, 19, 99.
Answers 7 gurus to page 42
43. 1 dm = 10 cm 1 m = 10 dm
1 m = 100 cm 4 dm = 40 cm
37 cm = 3 dm 7 cm 53 dm = 5 m 3 dm
44. Draw another hexagon, as in the drawing.
Draw one segment in each of them so that the first hexagon is divided into two quadrangles, and the second into two pentagons.
45. Tanya is 12 years old. Lena is 3 years younger than Tanya. In how many years will Lena be 15 years old?
1) 12 – 3 = 9 (l.)
2) 15 – 9 = 6 (l.)
Answer: in 6 years.
46. Compose and write down four differences, in each of which the minuend is 7 more than the subtrahend.
7 – 0 = 7 14 – 7 = 7 21 – 14 = 7 30 – 23 = 7
Answers from 7 gurus to page 43
47. Using these conditions and questions, create problems. Connect the cards with the condition and the question with a line. Solve the given problems orally. In each circle, write down the sign of the action with which the problem is solved.
-
How many more pears are there than apples?
There are 8 apples and 10 pears on a plate. ⇒ +
How many apples and pears are there on the plate?
There were 10 pears on the plate. After eating several pears, there were 8 pears left on the plate. ⇒ -
How many pears did you eat?
There were 8 apples on the plate. After a few more apples were put on the plate, there were 10 of them. ⇒ -
How many more apples did you put on the plate?
Answers 7 gurus to page 44
48. 1) Calculate and compare calculation methods.
45 + 3 = 48 45 – 3 = 42
∧ ∧
40 5 40 5
40 + (5 + 3) = 48 40 + (5 – 3) = 42
2) Calculate.
45 + 30 = 75 45 – 30 = 15
∧ ∧
40 5 40 5
(40 + 30) + 5 = 75 (40 – 30) + 5 = 15
49. Complete the problem with such a number that it can be solved in three ways. Solve the problem by creating an expression.
One box contained 6 pencils, and the other box contained 12 pencils. Katya took 5 pencils. How many pencils are left in these two boxes?
1) (12 + 6) – 5 = 13 (k.)
2) (6 – 5) + 12 = 13 (k.)
3) (12 – 5) + 6 = 13 (k.)
Answer: 13 pencils left.
Answers 7 gurus to page 45
50. Compare the problems. Compare the schematic drawings for them. Solve problems.
1) Sasha had 26 pictures. After he pasted several pictures into the album, he was left with 12 pictures. How many pictures did Sasha paste into the album?
2) Sasha had 26 pictures. Yesterday he pasted several pictures into the album, and today – 6 more. After that, he had 12 pictures left. How many pictures did Sasha paste into the album yesterday?
1) 26 – 12 = 14 (k.)
Answer: I pasted 14 pictures.
2) (26 – 6) – 12 = 8 (k.)
Answer: I pasted 8 pictures yesterday.
51. 20 – 1 > 9 + 9 15 > 1 + 1
9 – 2 = 6 + 1 6 + 6 > 3 – 2
Answers 7 gurus to page 46
52. There were 12 pencils in the box. 3 pencils were transferred from the box to the pencil case, and there were an equal number of pencils in the box and in the pencil case. How many pencils were in the pencil case at first?
Look at the schematic drawing and explain what the red circles in the bottom row mean and what the green circles in the bottom row mean.
Write down your answer.
12 – 3 – 3 = 6 (k.)
Answer: there were 6 pencils.
53. Kostya has 11 soldiers. He gave his brother Lyosha 4 soldiers, and they had the same number of soldiers. How many soldiers did Lesha have at first?
11 – 4 – 4 = 3 (k.)
Answer: Lesha had 3 soldiers.
54. Determine the rule by which the sequence of numbers is written, and write down three more numbers:
46, 47, 49, 50, 52, 53, 55, 56, 58, 59
Answers 7 gurus to page 47
55. Katya had 5 notebooks. Lena gave her 2 notebooks, and they had the same amount of notebooks. How many notebooks did Lena have at first?
Complete the diagram with the problem and write down the answer.
(5 + 2) + 2 = 9 (t.)
Answer: Lena had 9 notebooks.
56. Kolya had 7 stamps, and Roma had 11. How many stamps did Roma give to Kolya if they had the same amount of stamps?
Just write down the answer.
(11 – 7) : 2 = 2 (m.)
Answer: 2 brands.
57. Without calculating, connect with a line the cards on which expressions with equal meanings are written.
→ , →
→ , →
58. Make up a numerical expression and calculate its value: reduce the number 23 by the difference between the numbers 13 and 9.
23 - (13 - 9) = 19
Answers 7 gurus to page 48
59. 11 14 12 13
∧ ∧ ∧ ∧
2 9 1 13 2 10 3 10
1 10 4 10 1 11 1 12
7 4 7 7 3 9 7 6
60. 1) Finish your notes. Compare expressions and methods for calculating their values.
43 + 7 = 50 50 – 7 = 43
∧ ∧
40 3 40 10
40 + (3 + 7) = 50 40 + (10 – 7) = 43
84 + 6 = 90 48 + 2 = 50 60 – 4 = 56
85 + 5 = 90 21 + 9 = 30 70 – 8 = 62
72 + 8 = 80 80 – 6 = 74 90 – 3 = 87
61. → → → → → → →
Answers 7 gurus to page 49
62. From a tape 10 m long, first 2 m were cut off, and then another 5 m. How many meters of tape were left?
Solve the problem in two ways.
1st method
10 – (5 + 2) = 3 (m)
Answer: 3 meters left.
2nd method
(10 – 2) – 5 = 3 (m)
Answer: 3 meters left.
63. How many more pages did Olya read in the evening than in the morning, if she read 9 pages in the morning and 12 pages in the evening?
12 – 9 = 3 (s.)
Answer: 3 pages.
64. Calculate the meanings of the expressions or fill in the blanks with such numbers as to obtain correct equalities.
27 + 3 = 30 80 – 4 = 76 34 + 6 = 40
84 + 6 = 90 90 – 3 = 87 73 + 7 = 80
59 + 1 = 60 60 – 8 = 52 65 + 5 = 70
45 + 5 = 50 70 – 6 = 64 82 + 8 = 90
GDZ to page 50
65. 10 cm< 10 дм 10 см < 9 дм
10 cm > 10 mm 10 dm = 1 m
66. Write down the expressions and calculate their values.
1) From the number 90, subtract the sum of the numbers 42 and 8.
2) Increase the difference between the numbers 58 and 50 by 7.
90 – (42 + 8) = 40 (58 – 50) + 7 = 15
3) From the number 39, subtract the difference between the numbers 17 and 8.
4) Reduce the sum of numbers 13 and 7 by 9.
39 – (17 – 8) = 30 (13 + 7) – 9 = 11
67. Complete each broken line to a triangle and calculate its perimeter.
P = 3 cm + 5 cm + 4 cm = 12 cm
P = 3 cm + 3 cm + 3 cm = 9 cm
P = 3 cm + 4 cm + 4 cm = 11 cm
Answers from 7 gurus to page 51
68. Circle the numbers of two problems that are inverse to problem 1. Write an expression for solving each of these problems.
1 After Seryozha gave 5 nuts to his sister, he had 10 nuts left. How many nuts did Seryozha have at first? 10 + 5 = 15 (o.)
2 Seryozha had 15 nuts, and his sister had 10. How many nuts did Seryozha and his sister have together? 15 + 10 = 25 (about.)
(3)
Seryozha had 15 nuts. He gave some nuts to his sister and he had 10 nuts left. How many nuts did Seryozha give to his sister? 15 - 10 = 5 (about.)
4 Seryozha had 15 nuts, and his sister had 5. How many more nuts did Seryozha have than his sister? 15 - 5 = 10 (about.)
(5)
Seryozha had 15 nuts. He gave 5 nuts to his sister. How many nuts does Seryozha have left? 15 - 5 = 10 (about.)
Answers 7 gurus to page 52
69. The computer works like this:
→ + 6 →
4, 8, 14, 30, 44
10, 14, 20, 36, 50
2) Divide all the resulting numbers into two groups and write them down.
1) 10, 20, 50
2) 14, 36
70. The computer works as shown in task 69.
1) Write down what numbers need to be fed into the machine in order to get numbers at the output:
9, 17, 29, 37, 48, 59
3 , 11, 23, 31, 42, 53
2) Underline the number that can be called superfluous in the resulting series.
71. When purchasing a book, Denis received 10 rubles in change at the cash register. and two more coins of 2 rubles. How much does the book cost if Denis gave 100 rubles to the cash register?
Calculate the value of the expression written according to the conditions of the problem.
100 – (10 – 2 – 2) = r.;
100 – (10 + 2 + 2) = 86 rubles;
100 + (10 – 2 – 2) = r.
Answers from 7 gurus to page 53
72. Is 100 rubles enough to buy a book for 68 rubles? and a set of paints for 32 rubles?
Color the card with the correct answer.
NOT REALLY
73. Without calculating, connect with a line the cards on which expressions with equal meanings are written.
→ , →
→ , →
74. By what rule is the table compiled? Using this rule, fill in the empty cells of the table with numbers.
Addendum 8 10 12 14 16 18 20
Term 19 18 17 16 15 14 13
Amount 27 28 29 30 31 32 33
Watch how the first term changes, the second, how their sum changes. Fill in the last two columns with numbers.
75. 28 + 2 < 28 + 3 40 -7 < 40 -6
34 + 5 = 35 + 4 89 – 8 < 90 – 8
43 + 7 < 43 + 8 56 – 50 < 60 - 50
GDZ to page 54
76. Calculate the meanings of expressions.
5 + 7 – 9 = 3 11 – 5 + 7 = 13 5 + 0 = 5
6 + 9 – 8 = 7 16 – 8 + 5 = 13 19 – 0 = 19
8 + 6 – 5 = 9 18 – 9 + 3 = 12 50 + 0 = 50
7 + 7 – 9 = 5 17 – 8 + 6 = 15 80 – 0 = 80
77. Find the rule according to which the expressions are written in each column, write two more expressions and perform the calculations.
1 + 10 = 11 18 – 9 = 9 2 + 9 – 8 = 3
2 + 9 = 11 17 – 8 = 9 3 + 8 – 7 = 4
3 + 8 = 11 16 – 7 = 9 4 + 7 – 6 = 5
4 + 7 = 11 15 – 6 = 9 5 + 6 – 5 = 6
5 + 6 = 11 14 – 5 = 9 6 + 5 – 4 = 7
78. 30 - 10 < 40 50 + 5 < 60 70 - 7 > 50
20 + 80 = 100 40 + 7 < 70 80 - 9 > 70
79. Calculate the meanings of expressions.
70 – 30 = 40 20 + 60 = 80 80 – 50 = 30
40 + 40 = 80 90 – 70 = 20 10 + 20 = 30
Answers 7 gurus to page 55
80. 1) Complete the solutions and explain how to reason when making calculations.
34 + 7 = 41 23 + 9 = 32
∧ ∧
6 1 7 2
34 + 6 + 1 = 41 23 + 7 + 2 = 32
2) Calculate the meanings of the expressions.
13 + 8 = 21 48 + 4 = 52 26 + 4 = 30
37 + 5 = 42 73 + 8 = 81 32 + 8 = 40
56 + 7 = 63 65 + 9 = 74 51 + 9 = 60
81. Write down the missing number and action sign
→ [+5] → [-7] → [+10] → [-8] → [+9] →
82. 9 – 6 + 3 = 6 60 – 20 + 10 = 50
9 + 6 + 3 = 18 60 – 20 – 10 = 30
9 – 6 – 3 = 0 60 + 20 + 10 = 90
9 + 6 – 3 = 12 60 + 20 – 10 = 70
Answers 7 gurus to page 56
83. Ksyusha had 56 rubles. After she bought a pen and an album, she had 30 rubles left. How much did the album cost if the pen cost 7 rubles?
56 – (7 + 30) = 19 (r.)
Answer: the album cost 19 rubles.
84. 1) Complete the solutions and explain how to reason when making calculations.
40 - 28 = 12 70 – 56 = 14
∧ ∧
20 8 50 6
40 - 20 - 8 = 12 70 - 50 - 6 = 14
2) Calculate the meanings of the expressions.
50 – 37 = 13 60 – 43 = 17
40 – 15 = 25 70 – 32 = 38
70 – 23 = 47 80 – 54 = 26
85. Write down the missing number and the sign of the action.
(8) → (+7) → (-9) → (+8) → (-8) → (-1) → (5)
Answers 7 gurus to page 57
86. Color the circles so that there are 2 more yellow circles than green ones, and as many brown circles as there are yellow and green ones together.
87. Under each polygon, write down the number of the segment whose length is equal to the perimeter of this polygon.
Answers 7 gurus to page 58
88. There were as many apples in the vase as there were on the plate. 5 more apples were put into the vase, and there were 14 apples in it. How many apples are there on the plate and in the vase?
Find an expression to solve the problem and calculate its value.
14 + (14 + 5) =
14 + (14 – 5) = 23 (yab.)
14 – (14 – 5) =
89. Fill in the blank cells of the table.
GDZ 7 guru to page 59
90. Find the rule according to which three numbers are written on each card. Write the required numbers in the boxes.
91. Calculate the meanings of expressions.
5 + 8 = 13 27 + 7 = 34 100 – (58 – 8) = 50
7 + 9 = 16 35 + 6 = 41 80 + (24 – 4) = 100
8 + 6 = 14 43 + 9 = 52 70 – (62 – 8) = 16
92. The housewife had 12 cucumbers. Of these, 5 cucumbers were eaten, and then she picked 8 more cucumbers from the garden. How many cucumbers does the housewife have?
(12 - 5) + 8 = 15 (og.)
Answer: there are 15 cucumbers.
Subtracted 8 30 6 7 9 2 8 60
Answers 7 gurus to page 60
94. A box contains 24 identical cubes. Is it possible to fit 13 red, 9 blue and yellow cubes of the same size in this box?
What numbers can be added to the problem statement to get a positive answer? Write them down. Explain your answer using numerical inequalities and numerical equality.
For example: 13 + 8 + = 22, 22< 24.
9 + 13 + 2 = 24, 24 = 24
9 + 13 + 1 = 23, 23 < 24
95. By what rule is the table compiled? Using this rule, fill in the empty cells of the table with numbers.
Decreasable 85 80 75 70 65 60 55
Subtracted 5 10 15 20 25 30 35
Difference 80 70 60 50 40 30 20
Watch how the minuend changes, how the subtrahend changes, and how the difference changes. Fill in the last two columns with numbers.
96. What number will be obtained if the number 87 is reduced by 70 and the result is increased by 13? Color in the card with the correct answer.
20 30 93
Answers 7 gurus to page 61
97. A bicycle basket can carry a load weighing 20 kg. Is it possible to transport 8 kg of pears and 11 kg of apples in a bicycle basket in one trip?
Write your answer as a numerical inequality.
Yes, because 11 + 8< 20
No, because
98. Vanya drew three segments. The first is 7 cm long, the second is 2 cm shorter than the first, and the third is 4 cm longer than the second. How many centimeters is the third segment longer than the first?
First solve the problem without completing the drawing.
(7 – 2 + 4) – 7 = 2 (cm)
Test yourself by completing the drawing.
99. Underline incorrect numerical equations and write them correctly using the sign > or<.
48 + 4 = 46 + 6 53 – 2 = 53 – 3
16 + 18 = 19 + 17
23 – 8 = 25 – 8
34 + 6 = 36 + 4 62 – 7 = 62 – 8
23 – 8 < 25 – 8 53 – 2 > 53 – 3
16 + 18 < 19 + 17 62 – 7 > 62 – 8
Answers 7 gurus to page 62
100. Color the cards with expressions with equal meanings in one color.
15 - 9
13 - 4
8 + 9
90 - 40
46 + 4
17 - 9
56 - 50
14 - 5
7 + 10
20 + 10
70 - 40
78 - 70
101. After Alyosha watered 6 seedlings, and Nikita - 5, they had 7 seedlings left to water. How many seedlings did they need to water in total?
(6 + 5) + 7 = 18 (s.)
Answer: there were 18 seedlings.
102. From the numbers written in the house, dial the number 13. Write down four equalities.
4 3 6 1 9 + 4 = 13
8 9 7 5 (8 + 1) + 4 = 13
7 3 1 4 7 + 6 = 13
2 7 2 3 8 + 5 = 13
Answers 7 gurus to page 63
103. Compare expressions without calculating.
12 – 7 > 12 – 8 24 + 18 < 19 + 24
43 – 8 < 44 – 8 56 – 27 > 56 – 28
75 + 4 = 4 + 75 95 + 2 > 95 – 2
104. Calculate the meanings of expressions.
48 + 5 = 53 86 + 8 = 94 29 + 7 = 36
35 + 6 = 41 54 + 9 = 63 63 + 8 = 71
57 + 8 = 65 79 + 4 = 83 87 + 4 = 91
105. The first piece contains 28 m of calico, the second is 10 m more than the first, and the third is 7 m less than the second. How many meters of chintz are in the third piece?
(28 + 10) – 7 = 31 (m)
Answer: 31 meters of chintz.
106. The seller has 28 red balloons and 20 yellow ones. How many more red balls does the seller have than yellow ones?
28 – 20 = 8 (w)
Answer: 8 more balls.
Answers from 7 gurus to page 64
107. 1) Complete the notes and explain how to reason when making calculations.
43 - 7 = 36 54 - 9 = 45
∧ ∧
3 4 4 5
(43 - 3) - 4 = 36 (54 - 4) - 5 = 45
2) Calculate the meanings of the expressions.
13 – 6 = 7 71 – 4 = 67 65 – 8 = 57
45 – 9 = 36 82 – 9 = 73 27 – 9 = 18
26 – 8 = 18 53 – 7 = 46 41 – 3 = 38
Decreasable 40 50 70 80 80 30 14 100
Subtracted 8 30 6 7 9 2 8 60
Difference 32 20 64 73 71 28 6 40
109. Draw a rectangle. Draw 2 segments in it so that there are 8 triangles in the drawing.
Answers 7 gurus to page 65
110. Compare the lengths of the sides of the triangle and the square. Which polygon has the larger perimeter? Color this polygon. Test yourself by calculating the perimeter of each polygon.
P triangle = 3 cm + 3 cm + 3 cm = 9 cm
P square = 3 cm + 3 cm + 3 cm + 3 cm = 12 cm
111. In a pet store there were 8 parrots in a small cage, and in a large cage there were 7 more parrots. How many parrots were there in total in these cages?
(8 + 7) + 8 = 23 (p.)
Answer: There are only 23 parrots.
112. 8 – (5 + 2) = 1 40 – 25 + 5 = 20
16 – (3 + 4) = 9 65 + 10 -30 = 45
13 – (9 – 2) = 6 50 + (43 – 10) = 831:58
7 guru answers to page 66
113. The computer works like this:
→ - 8 →
1) Write down what numbers will be obtained at the output of the machine if numbers are given at the input:
24, 31, 15, 40, 52
16, 23, 7, 32, 44
2) Underline the number that can be considered redundant among the numbers obtained.
114. There are 8 more books on the shelf than on the table. How many books are there on the table and on the shelf?
Underline the sentence that needs to be supplemented with the statement of the problem. Solve the given problem.
There are 12 more books on the shelf than on the table.
There are 4 books on the table.
There are 8 fewer books on the table than on the shelf.
(4 + 8) + 4 = 16 (book)
Answer: 16 books in total.
115. Soccer and tennis balls were placed in one box, 13 balls in total. How many tennis balls and how many soccer balls are in the box, if there are 5 less soccer balls than tennis balls?
1) 13 - 5 = 8 (m.) - will remain in the box if you remove 5 tennis balls; football and tennis will remain equally divided.
2) 8: 2 = 4 (m.) - football
3) 4 + 5 = 9 (m.) - tennis
or a solution with X's:
X – 5 + X = 13
X = 9 – tennis balls
9 – 5 = 4 – soccer balls
Answer: 9 tennis balls and 4 soccer balls.
7 guru answers to page 67
116. The computer works as shown in task 113 (p. 66).
Write down what numbers need to be fed into the machine in order to get numbers at the output:
12, 23, 9, 34, 72, 90
20, 31, 17, 42, 80, 98
117. There were 8 oranges and 6 apples in the package. From the bag we took 3 oranges and the same number of apples. Without calculating, write down which fruits are left in the bag more.
Answer: more oranges, since 8 > 6.
118. There were 24 pencils in the box. First, the brother took several pencils from the box, and then the sister put 3 pencils in the box, and there were 17 pencils in the box. How many pencils did your brother take?
Look at the schematic drawing and solve the problem.
(24 + 3) – 17 = 10 (k.)
Answer: brother took 10 pencils.
7 gurus answers to page 68
119. 1) The book has 48 pages. Tanya read 30 pages. How many pages of this book does Tanya have left to read?
48 – 30 = 18 (pages)
Answer: 18 pages left to read.
2) Select and fill in the circles with numbers of problems inverse to this one. Solve these problems.
(1) After Tanya read 30 pages of the book, she still has 18 more pages to read. How many pages are in this book?
(2) The book has 48 pages. Tanya read 30 pages. How many more pages of the book has Tanya read than she has left to read?
(3) The book has 48 pages. After Tanya has read a few pages, she has 18 pages left to read. How many pages of the book did Tanya read?
1) 30 + 18 = 48 (pages)
Answer: only 48 pages.
2) 48 – 18 = 30 (page)
Answer: I read 30 pages.
Answers 7 gurus to page 69
120. Find the rule according to which the expressions are written in each column, write two more expressions and perform the calculations.
22 – 7 = 15 93 – 4 = 89 28 + 9 = 37
32 – 7 = 25 73 – 4 = 69 38 + 9 = 47
42 – 7 = 35 53 – 4 = 49 48 + 9 = 57
52 – 7 = 45 33 – 4 = 29 58 + 9 = 67
62 – 7 = 55 13 – 4 = 9 68 + 9 = 77
121. The first can contains 20 liters of milk, the second contains 4 liters less than the first, and the third contains the same amount as the first and second cans together. How many liters of milk are in the third can?
1) 20 – 4 = 16 (l)
2) 20 + 16 = 36 (l)
Answer: 36 liters of milk.
122. 2 m > 7 dm 3 dm 5 cm > 33 cm
3 dm > 13 cm 9 m > 90 cm
8 dm > 8 cm 4 dm 4 cm > 40 cm
Answers 7 gurus to page 70
123. There were 48 sweets in two boxes. When 14 candies were taken from the first box, there were 6 candies left in it. How many candies were in the second box?
Calculate and write down what you learn in the first step. Finish solving the problem.
1) 14 + 6 = 20 (k.) – first box
2) 48 – 20 = 28 (k.)
Answer: the second box contains 28 candies.
124. 7 apples and 5 pears were taken from the bag.
Find out by this condition:
How many more apples than pears were taken from the bag?
(2) How many apples and pears were taken from the bag?
If the problem is solved by addition, circle the question number (), if by subtraction - .
125. Calculate the meanings of expressions.
70 – 20 – 4 = 46 (27 + 3) – 6 = 24
80 – 40 – 7 = 33 (52 – 8) + 3 = 47
60 – 30 – 8 = 22 (68 – 8) – 9 = 51
Answers to page 71
126. Find false equalities. Change the expression written to the right of the equal sign in them so that the equality becomes true.
16 – 9 = 23 – 6
→ 16 – 9 = 23 – 13
44 + 6 = 100 – 50
18 – 9 = 99 – 90
37 + 10 = 47 – 10
→ 37 + 10 = 47 – 0
127. Without calculating, write the expressions in increasing order of their values. 30 + 5, 30 + 9, 30 + 3, 30 + 7, 30 + 10, 30 + 2, 30 + 8. 79 – 6, 79 – 3, 79 – 7, 79 – 5, 79 – 1, 79 – 8, 79 – 4, 79 – 9.
30 + 2, 30 + 3, 30 + 5, 30 + 7, 30 + 9, 30 + 10.
79 – 9, 79 – 8, 79 – 7, 79 – 6, 79 – 5, 79 – 4, 79 – 3, 79 – 1.
128. 45 + 7 = 52 23 – 6 = 17 15 – 6 = 9
6 + 18 = 24 77 – 8 = 69 11 – 4 = 7
74 + 9 = 83 35 – 9 = 26 9 + 2 = 11
Answers to page 72
129. The fisherman caught 7 ruffs, and 4 more crucian carp. How many ruff and crucian carp did the fisherman catch in total?
7 + 7 + 4 = 18 (r.)
Answer: I caught 18 fish in total.
130. On the first day, 20 seedlings were planted, on the second - 10 more seedlings than on the first, and on the third - 18 more seedlings than on the second. How many seedlings were planted on the third day?
20 + 10 + 18 = 48 (s.)
Answer: 48 seedlings were planted.
131. Connect each pair of dots with a segment.
1) How many segments did you get? 10 segments.
2) Find the perimeter of the drawn quadrilateral.
P = 2 cm + 2 cm + 3 cm + 3 cm = 10 cm.
Answers to page 73
132. Compose and write down as many expressions as possible, the value of each of which is 14.
10 + 4 = 14 9 + 5 = 14 11 + 3 = 14
15 – 1 = 14 16 – 2 = 14 7 + 7 = 14
17 – 3 = 14 18 – 4 = 14 20 – 6 = 14
133. 16 – 9 + 5 = 12 74 – 20 + 6 = 60
3 + 8 + 9 = 20 60 + 27 + 3 = 90
12 – 3 + 7 = 16 57 – 7 – 10 = 40
134. Calculate the meanings of expressions.
38 + 4 = 42 32 – 8 = 24 63 + 7 = 70
17 + 9 = 26 23 – 6 = 17 41 + 9 = 50
35 + 8 = 43 44 – 9 = 35 60 – 5 = 55
58 + 7 = 65 63 – 5 = 58 80 – 8 = 72
135. Sasha is 15 years old, and Vita is 9 years old. How many years is Sasha older than Vitya?
15 – 9 = 6 (l.)
Answer: 6 years older.
Answers to page 74
136. First 2 kg of honey was poured into an empty barrel, and then 3 kg more. The mass of the barrel together with honey became 8 kg. Find the mass of the empty barrel.
1) 2 + (2 + 3) = 7 (kg)
2) 8 – 7 = 1 (kg)
Answer: the mass of an empty barrel is 1 kg.
137. Find the sums by adding the numbers first in rows and then in columns.
9 5 6 7 27
4 8 3 7 22
4 3 8 5 20
9 9 0 2 20
7 4 5 6 22
3 5 7 5 20
9 3 6 2 20
2 9 8 4 23
29 15 25 20
89 18 31 18 18
85
Check that the calculations are correct: the numbers in each table are set so that the unshaded cell gives the same amount regardless of how you count.
Answers to page 75
138. Calculate the values of expressions.
13 – 8 + 9 = 14 44 + 9 = 53 61 – 7 = 54
17 – 9 + 4 = 12 29 + 7 = 36 73 – 6 = 67
139. We bought 18 packs of Indian tea and 20 packs of Krasnodar tea for the school buffet. We used 8 packs. How many packs of tea are left?
Fill in the missing numbers and write down what you learn from each action by solving the problem in different ways.
1) 18 – 8 = 10 (p.) – Indian tea left
2) 10 + 20 = 30 (p.) – only tea left
1) 20 – 8 = 12 (p.) – Krasnodar tea left
2) 12 + 18 = 30 (p.) – only tea left
Answer: 30 packs of tea left.
1) 20 + 18 = 38 (p.) – there was only tea
2) 38 – 8 = 30 (p.) – only tea left
Answer: 30 packs of tea left.
Answers to page 76
140. From the numbers written in the house, dial the number 15. Write down five equalities.
8 + 7 = 15
(5 + 6) + 4 = 15
(4 + 6 + 3) + 2 = 15
(7 + 6) + 2 = 15
(5 + 3) + 7 = 15
141. Connect with a line the circle with the number of the problem and the cards with expressions for solving it.
13 - (7 - 5)
13 - 7 - 5 13 - (7 + 5) → 1) There were 13 m of fabric in a roll. First they cut off 7 m, and then another 5 m. How many meters of fabric were left in the roll?
(13 + 7) - 5 13 - 5 + 7 7 - 5 + 13 → 2) It was necessary to fill 13 trucks and 7 cars with gasoline. We refueled 5 cars. How many cars are left to refuel?
Answers to page 77
142. Kolya put 8 cars on the top shelf, and 3 less cars on the bottom shelf. How many cars did Kolya put on both shelves?
(8 – 3) + 8 = 13 (m.)
Answer: I installed 13 machines in total.
143. After taking 8 mushrooms from the basket, there are 9 mushrooms left in the basket. How many mushrooms were in the basket at first?
8 + 9 = 17 (years)
Answer: at first there were 17 mushrooms.
144. Calculate the meanings of expressions.
37 + 8 = 45 41 – 7 = 34 60 – 30 + 5 = 35
46 + 4 = 50 50 – 8 = 42 70 + 20 – 9 = 81
145. The album costs 20 rubles, and the paints cost 37 rubles. How many rubles are paints more expensive than an album?
37 – 20 = 17 (r.)
Answer: 17 rubles more expensive.
To consolidate and test knowledge
Answers to page 78
1. Connect a line between the card on which the expression is written and the card on which its meaning is written.
⇒ ,
⇒ ,
⇒ ,
⇒ ,
⇒ ,
2. Color the cards with the same color on which expressions with equal meanings are written.
14 - 8
16 - 9
5 + 9
17 - 8
12 - 8
7 + 7
11 - 7
18 - 9
13 - 7
15 - 8
3. Reduce 74 by 20. Color in the card on which the answer is written.
94 54 20
4. Calculate the meanings of the expressions.
34 + 3 = 37 76 – 40 = 36 91 – 6 = 85
47 – 9 = 38 18 + 50 = 68 74 + 7 = 81
GDZ to page 79
5. Next to each problem, insert in a circle the sign of the action with which it is solved.
(-) 1) There were 17 books on the shelf. After several books were taken, there were 9 books left on the shelf. How many books did you take?
(+) 2) After 8 fish were transplanted from the aquarium into a jar, 7 fish remained in it. How many fish were there in the aquarium at first?
(-) 3) There are 11 fruits on the plate. Of these, 4 are pears and the rest are apples. How many apples are on the plate?
6. The first disc contains 12 cartoons, and the second disc contains 5 cartoons less than the first. How many cartoons are there on these discs?
(12 – 5) + 12 = 19 (m.)
Answer: a total of 19 cartoons were recorded.
7. From the first bed, 11 kg of cucumbers were collected, from the second – 9 kg more than from the first, and from the third – 4 kg less than from the second. How many kilograms of cucumbers were collected from the third bed?
(11 + 9) – 4 = 16 (kg)
Answer: We collected 16 kg of cucumbers.
Answers to page 80
8. When the bus left the stop, there were 28 passengers on it. At the first stop, several people got off the bus, and 6 people got on, after which there were 30 people on the bus. How many people got off the bus at the first stop?
Look at the schematic diagram for the problem and solve it.
28 – X + 6 = 30 (p.)
X = 4 (p.)
Answer: 4 passengers got off.
9. Place parentheses so that the equations become true.
23 – (8 + 5) = 10 37 – (11 + 5) = 21
18 – (8 – 2) = 12 43 – (30 – 7) = 20
10. Find the perimeter of the triangle. 2+2+3=7 (cm)
Draw a segment whose length is equal to the perimeter of the given triangle.
Page 81-82 Additional tasks
3 + 9 = 12 12 - 3 = 9
5 + 7 = 12 12 - 5 = 7
6 + 6 = 12 12 - 6 = 6
4 + 8 = 12 12 - 4 = 8
Entertaining frames
Triangle.
5 + 9 + 4 + 2 = 20 8 + 7 + 3 + 2 = 20 5 + 4 + 3 + 8 = 20
If you have started the second part of the workbook, look for it in the GDZ section for 2nd grade.
It's the second half of the first school year, and it's time to start the second part of the math workbook. Students in the School of Russia program will continue to study using the textbook by Moro and Volkova. All tasks are familiar, the design is the same. The tasks, I’ll say right away, are not difficult, you can do without the GDZ, but for parents who want to be on the safe side and check the answers, the worksheet will be necessary and irreplaceable.
The tasks in the workbook are arranged in accordance with the topics in the textbook and are quite accessible for first-graders to complete independently. The second part begins with addition and subtraction of numbers, then we will study the comparison of numbers, learn the rule for rearranging the places of addends, and continue to learn how to solve problems in one operation for addition and subtraction. Children will learn what minuend, subtrahend and difference are, and will become familiar with measures of weight and volume. By the middle of the workbook, first-graders will begin to add and subtract numbers from 11 to 20, study the measure of length decimeter and try to solve problems in two steps. By the end of the school year, children should be able to solve equations within 20 in their minds.
As usual on our 7guru website, the assignments have been checked and approved by a primary school teacher.
GDZ for a workbook in mathematics, grade 1, part 2 Moro
Analysis of the most difficult tasks in the textbook
Adding and subtracting numbers
Page 3, task 1. Color the rooster. The examples are simple, you just need to be careful.
Page 4, task 2. There are 2 triangles. There are 3 more circles. 2+3=5 Color 2 triangles green and 5 circles red.
We do the 1st task after the line by analogy.
Page 4, task 3. Which two shapes can be used to make a square? Color one pair of figures red, the other green.
A square can be made from two triangles and from rectangles. Count the cells carefully. Remember that a square has all sides equal.
Page 5, task 4. Ira painted 5 flowers. Anya - 2 flowers more. How many flowers did Anya paint?
5+2=7 (c.) Answer: 7 flowers.
Task 5. You need to arrange the numbers in three so that the numbers do not repeat.
Answers to the topic How much more? How much less?
Page 6, task 1. There are 5 circles and 8 triangles. How many fewer circles are there than triangles? 8-5=3
There are 4 stars and 7 squares. How many more squares than stars? 7-4=3
Task 3. You can simply rewrite it, or you can again try to arrange the numbers so that the numbers do not repeat.
Task 5. In each pair, without calculating, find an example with a smaller answer and fill in the rectangle in which it is written.
Less is the answer where they add less or subtract more. Please note that you need to paint not just one rectangle, but each pair.
GDZ on the topic Rearrangement of terms
Page 8, task 1. For each picture, compose and write two equalities one below the other, first moving from left to right, and then from right to left.
We compose equalities according to the following principle: the numbers of blue and red figures in a pile are terms, and how many figures are in it is the sum. Then we rearrange the terms and see that the sum has not changed.
Page 9, task 1. Vera colored 4 flags, and Yulia - 3 more. How many flags did Julia color? 4+3=7 (f) Answer: 7 flags.
Page 10, task 1. There are 6 cookies (or cakes) in a box. There are 3 more on the plate. How many cookies are there in total? 6+3=9 (p.) Answer: 9.
Page 13, task 3 about a hedgehog. Draw the shortest path for the hedgehog. The shortest path is always a straight line.
Page 14, task 1. There are 7 oranges in a basket. There are 2 more oranges on the plate. How many oranges are there in total?
7+2=9 (ap.) Answer: 9 oranges.
Page 15, task 2. There were 10 pencils in the box. 8 pencils were taken out. How many pencils are left in the box? 10-8=2 (k.) Answer: 2 pencils.
Problem 1 after the line. There are 7 candies in the box, and there are 3 more candies on the table. How many candies are there in total? 7+3=10 (k.) Answer: 10 candies.
Minuend, subtrahend, difference
Page 19, task 1. 4 ducks and 8 geese swam on the pond. 3 ducks and the same number of geese came ashore. How many ducks and how many geese are left in the water?
The peculiarity of the task is that you first need to count only the ducks and write down the answer, and then count the geese and write down the answer.
Page 20, task 3. You need to make the number 10 from the available numbers by adding them.
Options: 5+5, 3+3+3+1, 5+3+2, 5+3+1+1, 5+2+1+1+1, 3+3+2+1+1
Kilogram. Liter
Page 22, task 3. How to pour 2 liters of water into a pan if there are jars with a capacity of 1 and 3 liters? Write down numerical inequalities.
You can take 1 liter and another 1 liter, 1+1=2.
You can pour 3 liters at once, and then scoop out 1 liter. 3 - 1 = 2
GDZ on the topic Numbers from 11 to 20
Decimeter
Page 26, task 4. Grandmother took several carrots and gave them all to the rabbits: 3 to the white one and the same number to the gray one. How many carrots did grandma take?
The key word of the task is EVERYTHING. So let’s add up all the carrots that grandma gave and we’ll get how many carrots there were in total. 3+3=6
Page 28, task 1. The seller has one such weight: 5 kg, 3 kg, 2 kg. How can you use them to weigh 6 kg of apples? 4 kg of flour?
The answer is in the picture of the GDZ on page 28.
Page 31, task 4. Draw or cross out circles, squares or triangles so that there are equal numbers of them. Show everyone is capable of drawing.
Answer: on the first we cross out the extra ones, on the second we fill in the missing ones.
Page 32, task 6. In each drawing, draw 1 segment so that you get a polygon.
Solution: we connect the free ends, closing each broken line, and we get polygons.
GDZ on the topic Tabular addition
Page 38, task 3. Draw two segments, each 9 cm long. On the first segment, put a dot so that you get two segments 4 cm and 5 cm long. On the second segment, put a dot so that you get two segments, one of which is 5 cm longer than the other.
With the first segment everything is very clear, we measure and put a point. What about the second one? In the first grade, when studying mathematics, it is assumed that the child will do this by selection, and there will be many such tasks in the future. It would be more correct to teach a child to solve such a problem using an equation. This is a common task of finding terms by sum and difference >>
The entire length is 9 cm. One piece is 5 cm shorter. This means that if you remove 5 cm from it (9-5=4), 2 equal segments of 2 cm will remain. We mark one segment - 2 cm, the second - 7 cm.
Table subtraction
Page 46, task 1. There are 11 circles in each picture. Color each drawing with red and blue pencils so that there are fewer red circles than blue ones: in Figure 1 - by 3 circles, in Figure 2 - by 5 circles, in Figure 3 - by 7 circles.
Again, the task is to find the terms by sum and difference.
1) 11-3=8, 8=4+4, which means 4 red circles, the rest are blue.
2) 11-5=6, 6=3+3, which means 3 are red, the rest are blue.
3) 11-7=4, 4=2+2, which means 2 are red, the rest are blue.
Well, or decide by selection if you don’t want to bother ahead of time. But by explaining the algorithm for solving such problems to your child now, and not in 4th grade, you will make it easier for him to understand mathematics lessons.
At the end, tasks are given to consolidate and test knowledge; they are very simple, but for checking the GDZ, the answers are in the pictures of the pages.
If you have any questions about GDZ, ask in the comments.
publishing house: Education
The most culminating moment for any child. Taking replacement shoes in his hands and hanging a new, bright briefcase on his shoulders, a first-grader confidently crosses the threshold of an educational institution and in a firm voice declares to study fruitfully. Fortunately, the institution encourages this attitude with a wide variety of developmental subjects that students are sure to get acquainted with in class. But, mathematics workbook 1st grade Moro M.I., Volkova S.I. (School of Russia), deserves a separate review, which will naturally provoke genuine interest in the course as a whole. After all, the presented publication combines a fascinating process with useful consequences. No matter how fun it is, it is worth understanding the computational properties; they like a responsible approach with cold calculation. Of course, unfortunately, not all young conquerors of educational peaks will be able to maintain the given rhythm. The main thing here is not to put pressure on the discoverer and give him the opportunity to use cheat sheets that will relieve the student a little. One-of-a-kind, ready-made homework assignments can be an excellent helper. Amazing workbook contains answers to any pedagogical issue.
The manual is an additional program to the main textbook. Therefore, schoolchildren will take from the primary source, and check and study the special highlighted rules in their notebooks. This pace will allow you not to get lost among the huge variety of thematic content and confidently follow your path to success. Moreover, this publication becomes a wonderful simulator not only from the discipline side. By analyzing the general material, first-graders will develop the most important qualities that will undoubtedly be useful on their long journey in life, after their school years. Responsibility, perseverance, attentiveness and multitasking. A good set of abilities awaits someone who can analyze the upcoming work. It is also worth noting that matesha is part of the exam disciplines that will need to be taken at the end of your educational career. Feel free to take on any complex mathematical example, it will help online solver who is not afraid of difficult moments.
GDZ offers an excellent opportunity to solve D/Z, quickly and comfortably. The cheat sheet has a detailed step-by-step explanation for absolutely every equation. Thanks to this innovative development, students, when cheating, remember very important information, which is stored in their heads. In the future, having received a solid “A” in the diary, the child will reproduce the learned material without any problems and confirm the knowledge in practice. For example, answering at the board. More and more people are using only GDZ and remain satisfied. Forget about unlearned lessons and boldly enter the next era with a competent guide.
A workbook for the School of Russia program, the subject is mathematics, or rather the first part of this workbook by the authors M.I. Moro and S.I. Volkova definitely does not contain difficult tasks. In general, the School of Russia program is quite consistent, easy to understand and without “tricks”, unlike the same Perspective, where you have to look at the GD almost every day, even in the first grade, in order to understand what the authors of the workbook want from the child. The textbooks are a bit reminiscent of the old Soviet ones; they are easy for children with any basic knowledge to learn from. Closer to the topic. If you still need to check the correct answers to tasks for peace of mind, our workbook will help you with this.
The workbook begins with the development of basic mathematical concepts, mental counting skills to ten, the concept of order, and comparison of the number of objects. Many pages have math worksheets where you need to trace and repeat a pattern or numbers. The workbook contains logical tasks: determine what comes first, what comes next, find the continuation of the logical chain. Next comes the study of numbers, how they are written, solving examples of addition and subtraction within ten, solving simple addition and subtraction problems.
All assignments are checked and the answers are approved by the primary school teacher. Click on the page numbers to open the solution in full screen.
GDZ for a workbook in mathematics, grade 1, part 1 Moro
Cut counting and gaming material
Often children, especially first graders, lose counting material from the app, but it will be needed for several lessons at school. You can scan the workbook pages with game and counting materials yourself in advance, without cutting anything out yet, or you can print them from our website.
Explanation of answers to the most difficult GDZ tasks
Page 17. Each pencil is represented by a segment. Connect a line between the pencil and your segment.
Solution. There is no need to measure anything with a ruler; we connect the shortest pencil with the shortest segment, the middle one with the middle one, the long one with the long one.
Page 24. Centimeter. Fill in the circles with the numbers of the segments that can be used to represent the red and green pencils.
Solution. The confusion is that here you cannot count the length of a pencil in cells, but you need to measure it with a ruler in centimeters. Both red and green pencils are 6 cm long. This means we select segments of 6 cells and paint a circle next to them.
Page 25. Look at the pictures. Fill the frame with equality for the transition from the picture on the left to the picture on the right with yellow, and from the picture on the right to the picture on the left with green.
Answer. When moving from left to right, we add 2 butterflies, which means we’ll color 5+2 yellow; when moving from right to left, 2 butterflies have disappeared, which means we’ll color 7-2 green.
Page 27, picture task. We noticed that many children, one might even say the majority, cannot cope with the task. No, not because they still don’t count well. They're just not paying attention. In fact, a first-grader should easily and completely correctly color such a mathematical coloring book. If you notice that your child made a mistake in this task, he needs to practice. And the answer is on the scan of the page.
Page 31. Measure the length of each segment. Compare the lengths of the segments.
The child begins to learn to use a ruler, and therefore it should always be with him in his pencil case. Repeat with the student how to correctly measure a segment (apply the beginning of the ruler to the beginning of the segment, and so that 0 on the ruler coincides with the beginning of the segment).
Page 32. Color the pencils so that the red pencil is longer than the blue one, but shorter than the green one.
Answer. If red is longer than blue, but shorter than green, then it is medium in length. Green is the longest and blue is the shortest.
Page 35, second task. Table with examples, you need to color the examples with answer 5 in red, with answer 4 in green and add 2 examples.
Solution. Note that all equations are listed in which, when adding and subtracting one or two, the result is 4 and 5, while in the examples on addition there are also those whose terms are rearranged. 1+3 and 4+1 are missing. Let's color it and get a logical drawing. This means that in the first missing example the result will be 4, and in the second example 5.
Page 36. Color the squares in two colors, green and yellow, so that in the first row there are 1 fewer green squares than yellow ones, and in the second row there are 3 more green squares than yellow ones.
Answer. First, we color the difference with the desired color, then we divide the remaining ones in half and color half yellow, half green.
Page 37. Find two problems. Circle their numbers. Solve every problem.
1 is not a problem, it talks about pencils, but a question about brushes. 2 - task, there is both a condition and a correct question. 3 is not a problem, not all conditions are given for solution. 4 - task.
Measure and compare the lengths of the links of each broken line.
We use a ruler and measure, then compare.
Page 39. Divide all the figures into groups according to different characteristics. Write down the equality for each case.
Answer. We know 3 characteristics of an object: shape, size, color. We divide them into groups, we get 3 equalities.
Page 40. Again a table with the task “guess what to write down”.
First, let's color it as shown in the circles - with the answer 4 - red, 5 - orange, 6 - green, 7 - blue. In order for the small pattern to be observed, a green and blue cell is missing. This means that the answer in the first rectangle will be 6, and in the second 7. Since we are going through the addition and subtraction of the number 3, we will give it an advantage and create an example with it that is not in the table (9-3=6), and for seven let it be 9- 2, this example is also not in the table.
Possible options: 7-1, 3+3, and for the second cell 8-1, 4+3.
And the wisest task - about apples. On each basket it is written how many apples it contains. Connect the pictures with the same number of apples with a line and write down two true equalities.
Solution. Let’s imagine that there are more apples in the baskets under the cloth besides the ones we see. Thus, in the first picture we see 5 apples + 2 apples are in the basket, for a total of 7 apples. On the second there are 1 in front of us + 5 in the basket, there are 6 in total, on the third picture there are also 6, on the fourth there are 7. So let’s connect the first picture with the fourth, and the second with the third. We write down the equalities: how many apples are on the table + how many are in the basket.
If something in our GDZ is not clear, write in the comments what page you are going through or ask questions.