# Free second grade math tests

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## Free math test papers for 2-nd grade. Topics: “Numbers from 1 to 100”, “Comparison of Numbers”, “Addition and Subtraction of Numbers”, “Multiplication and Division of Numbers”, “Solution of Text Problems”, “Segment. Rectangles. Angles”

Contents:
1. What a Child Should Know Before Grade 2.
2. Test #1 on the topic: “Addition and Subtraction of Numbers within 20”, “Solution of Text Problems”.
3. Test #2 on the topic: “Addition and Subtraction of Numbers within 20”, “Segment. Length of Segment”, “Solution of Text Problems”.
4. Test #3 on the topic: “Addition and Subtraction of Numbers within 100”, “Comparison of Numbers”.
5. Test #4 on the topic: “Addition and Subtraction of Numbers within 100”, “Rules of Bracket Expansion”, “Solution of Text Problems”.
6. Test #5 on the topic: “Addition and Subtraction of Two-Digit Numbers”, “Comparison of Numbers”.
7. Test #6 on the topic: “Addition and Subtraction of Two-Digit Numbers”, “Brackets, Order of Operations”, “Segment, Angle, Rectangle”.
8. Test #7 on the topic: “Multiplication and Division”, “Text Problems on Multiplication and Division”, “Square”.
9. Test #8 on the topic: “Multiplication and Division of Numbers”, “Solution of Text Problems on Multiplication and Division”.
10. Preparation for Tests: “Addition and Subtraction of Numbers within 100”.
11. Preparation for Tests: “Tabular Multiplication and Division”.
12. Preparation for Tests: “Tabular Multiplication and Division. Continuation”.
13. Preparation for Tests: “Non-Tabular Multiplication and Division”.
14. Preparation for Tests: “Thousand”.

### In Grade 2, a child should know the following mathematical concepts:

1. Basics of arithmetic: a child should be able to add and subtract numbers up to 100. For example, if a child had 47 candies and ate 15, how many candies are left?
2. Concept of even and odd numbers: a child should understand the difference between even (2, 4, 6, etc.) and odd numbers (1, 3, 5, etc.). For instance, if a child has 10 balls, they can divide them into two groups (even and odd).
3. Working with fractions: a child should understand and work with halves and quarters. For example, if they have a pie, they can divide it into halves or quarters and share it with friends.
4. Working with units of measurement: a child should know different units of measurement (cm, m, kg, liter) and be able to apply them in everyday situations. In daily life, a child can measure their height and compare it with the height of other children in the class.
5. Working with geometric shapes: a child should know and be able to identify various geometric shapes, such as a circle, square, rectangle, and triangle. For example, a child can find circles in pictures or solve puzzles with geometric shapes.
6. Writing numbers in words: a child should be able to write numbers from 0 to 100 in words. For instance, a child can write the number 28 in words.
7. Multiplication table: a child should be able to multiply numbers from 1 to 10 by single-digit numbers. For example, if a child wants to know what 3 multiplied by 4 is, they can use the multiplication table or ask the teacher for help.
8. Working with graphs: a child should be able to read and understand simple graphs, such as a graph showing the number of apples collected by different children in the class in one day.
9. Handling money: a child should be able to count money and understand the difference between different denominations of coins and bills. A child can calculate the sum of money needed to buy a specific item.
10. Solving simple problems: a child should be able to analyze problems and find their solution using mathematical operations. For example, a child can solve a problem that requires addition or subtraction. For instance, how many apples are left if a child had 10 and ate 3?

### Test #1 “Addition and Subtraction of Numbers within 20”, “Solution of Text Problems”

Variant I.

1. Solve the problems.

 3 + 8 = 4 + 9 = 3 + 8 = 9 + 5 = 8 + 4 = 9 + 4 = 8 + 7 = 9 + 3 = 7 + 3 = 5 + 3 = 7 + 7 = 9 + 2 =

2. Fill in the blanks with the signs: greater than, less than, or equal to.

 4 + 3 … 5 + 6 6 + 2 … 2 + 3 6 + 8 … 9 + 5 9 + 3 … 7 + 6 6 + 8 … 9 + 5 6 + 7 … 5 + 6 5 + 7 … 8 + 4 4 + 7 … 8 + 2

3. Solve the problem.

Kolya drew 4 squares in his notebook, and Petya drew 6 squares more. How many squares did Petya draw in total?

4. Solve the problem.

Yesterday, Dad brought 7 apples from the store. And today, he brought 8 apples more than yesterday. How many apples did Dad bring today?

Variant II.

1. Solve the problems.

 3 + 7 = 4 + 6 = 2 + 8 = 4 + 5 = 8 + 1 = 9 + 5 = 6 + 7 = 6 + 3 = 7 + 5 = 5 + 7 = 8 + 7 = 7 + 2 =

2. Fill in the blanks with the signs: greater than, less than, or equal to.

 3 + 6 … 4 + 3 5 + 6 … 6 + 4 6 + 7 … 3 + 4 9 + 5 … 7 + 7 6 + 9 … 9 + 7 6 + 3 … 5 + 8 5 + 4 … 8 + 8 4 + 6 … 8 + 5

3. Solve the problem.

In the grove, there were 5 birch trees. In the spring, they planted 7 more birch trees. How many birch trees are there in the grove in total?

4. Solve the problem.

The farmer harvested 6 tons of potatoes and 5 tons of cabbage. How many tons of vegetables did the farmer harvest in total?

Variant III.

1. Solve the problems:

 3 + 6 = 4 + 4 = 3 + 5 = 9+ 9 = 4 + 7 = 9 + 8 = 8 + 3 = 9 + 6 = 5 + 8 = 5 + 9 = 7 + 2 = 9 + 1 =

2. Fill in the blanks with the signs: greater than, less than, or equal to.

 4 + 8 … 3 + 6 7 + 4 … 4 + 8 5 + 3 … 8 + 8 8 + 3 … 5 + 6 7 + 8 … 7 + 5 9 + 7 … 8 + 6 9 + 7 … 6 + 4 2 + 7 … 9 + 2

3. Solve the problem.

In the square, there were 6 oak trees. In the spring, they planted 4 more oak trees. How many oak trees are there in the square in total?

4. Solve the problem.

In the running section, 7 boys and 8 girls are engaged. How many children are engaged in the section?

### Test №2 “Addition and Subtraction within 20”, “Segment. Length of the Segment”, “Solving Word Problems”

Variant I.

1. Solve the problem.

Grandma brought 12 pears and 5 apples. How many fewer apples than pears did Grandma bring?

2. Draw a segment with a length of 5 cm.

3. Solve the examples.

 8 + 4 = 5 + 9 = 3 + 8 = 8 + 6 = 12 – 5 = 13 – 6 = 17 – 6 = 15 – 8 =

4. Insert the number instead of the ellipsis.

 6 + … = 14 8 + … = 16 5 + … = 13 … + 5 = 11 … + 9 = 12 … + 7 = 15

5. Solve the problem:

There were 6 motorcycles in the garage. In the morning, 4 more motorcycles were placed in the garage. How many motorcycles are in the garage now?

Variant II.

1. Solve the problem.

The car brought 16 bags of cement and 8 bags of sand to the warehouse. How many bags did the car bring in total?

2. Draw a segment with a length of 7 cm.

3. Solve the examples.

 8 + 5 = 1 + 8 = 7 + 4 = 8 + 8 = 12 – 3 = 13 – 7 = 17 – 8 = 15 – 4 =

4. Insert the number instead of the ellipsis.

 7 + … = 14 6 + … = 16 8 + … = 13 … + 4 = 11 … + 5 = 12 … + 8 = 15

5. Solve the problem.

On the lake shore, there were 7 birches. In the spring, 7 more fir trees were planted. How many trees are there in total on the shore?

Variant III.

1. Solve the problem.

Mom baked 14 pies, 8 of them with apple filling, and all the others were pies with jam. How many pies with jam did mom bake?

2. Draw a segment with a length of 4 cm.

3. Solve the examples.

 7 + 4 = 4 + 9 = 6 + 8 = 5 + 6 = 13 – 5 = 12 – 6 = 14 – 6 = 13 – 8 =

4. Insert the number instead of the ellipsis.

 6 + … = 13 8 + … = 14 5 + … = 15 … + 5 = 12 … + 9 = 13 … + 7 = 14

5. Solve the problem.

In the village, there are 5 single-story houses and 9 two-story houses. How many houses are there in the village?

### Test №3 “Addition and Subtraction within 100”, “Comparison of Numbers”

Variant I.

1. Solve the problem.

In the spring, the farmer planted 30 kg of potatoes. After planting, he had 5 kg of potatoes left. How many kilograms of potatoes did the farmer have before planting?

2. Solve the problem.

The seamstress had 75 meters of fabric. After sewing several suits, she had 18 meters of fabric left. How many meters of fabric were needed to make the suits?

3. Solve the examples.

 27 + 4 = 34 + 9 = 56 + 8 = 75 + 6 = 53 – 5 = 72 – 60 = 84 – 50 = 43 – 8 =

4. Instead of the ellipsis, put a sign: greater than, less than, or equal to.

 46 + 5 … 23 48 + 6 … 54 5 + 38 … 35 47 – 5 … 32 34 … 49 – 3 48 … 37 – 4

Variant II.

1. Solve the problem.

In the workshop, 38 computers were repaired. There are still 9 computers left to be repaired. How many computers in total needed repair?

2. Solve the problem.

There were 47 buckets of water in the pool. 8 buckets of water were taken for watering the beds. How many buckets of water are left in the pool?

3. Solve the examples.

 37 + 4 = 44 + 9 = 26 + 8 = 65 + 6 = 43 – 5 = 62 – 60 = 74 – 40 = 83 – 8 =

4. Instead of the ellipsis, put a sign: greater than, less than, or equal to.

 26 + 5 … 53 38 + 6 … 64 5 + 58 … 45 67 – 5 … 42 34 … 59 – 3 68 … 57 – 4

Variant III.

1. Solve the problem.

The master had 97 meters of wire. He cut and gave 81 meters of wire to his assistant. How many meters of wire does the master have left?

2. Solve the problem.

Petya collects stamps. For his birthday, he received 9 stamps, and now he has 55 stamps in his collection. How many stamps did Petya have before his birthday?

3. Solve the examples.

 27 + 8 = 43 + 5 = 46 + 7 = 45 + 8 = 35 – 5 = 72 – 30 = 64 – 20 = 73 – 7 =

4. Instead of the ellipsis, put a sign: greater than, less than, or equal to.

 47 + 5 … 23 36 + 6 … 65 5 + 46 … 45 37 – 5 … 51 32 … 65 – 3 48 … 53 – 4

### Test №4 “Addition and Subtraction within 100”, “Rules for Expanding Brackets”, “Solving Word Problems”

Variant I.

1. Solve the problem:

In the 2nd grade, there were 18 children. In the new school year, 4 new students joined the class, and three left for another school. How many students are studying in the 3rd grade?

2. Solve the problem.

Mom brought 12 apples, and dad brought peaches, which were 3 fewer than apples. How many fruits did mom and dad bring in total?

3. Solve the examples.

 38 + 6 = 46 + 30 = 18 + 50 = 59 + 8 = 58 – 7 = 39 – 8 = 48 – 20 = 45 – 9 =

4. Instead of the ellipsis, put the number.

 18 – 9 + … = 17 … + 6 – 30 = 53 48 – … + 5 = 53 70 + 4 – … = 67 … + 7 – 9 = 42 73 – … + 8 = 75

5. Solve the examples.

 7 + ( 8 – 2 ) = ( 8 – 3 ) + 5 = 18 + ( 32 – 21 ) =

Variant II.

1. Solve the problem.

In the bus park, 36 buses were working. By the end of the month, 4 buses broke down, and 9 new buses arrived. How many buses are operating in the bus park?

2. Solve the problem.

In the morning, 25 pastries were prepared in the cafe. By lunchtime, 8 pastries were sold, and another 12 were prepared. How many pastries are there in the cafe now?

3. Solve the examples.

 32 + 6 = 49 + 30 = 12 + 40 = 53 + 8 = 53 – 7 = 32 – 8 = 44 – 20 = 42 – 8 =

4. Instead of the ellipsis, put the number.

 14 – 8 + … = 15 … + 6 – 40 = 23 42 – … + 8 = 43 75 + 4 – … = 63 … + 1 – 8 = 51 71 – … + 5 = 76

5. Solve the examples.

 5 + ( 8 – 4 ) = ( 9 – 8 ) + 7 = 18 + ( 50 – 10 ) =

Variant III.

1. Solve the problem:

There were 56 chairs in the hall. To hold a meeting, 8 more chairs were brought in, and then another 4 chairs were brought in. How many chairs are in the hall now?

2. Solve the problem.

There were 73 meters of fabric in the roll. The tailor cut off 9 meters of fabric, and then another 5 meters. How many meters of fabric are left on the roll?

3. Solve the examples.

 42 + 6 = 59 + 40 = 52 + 20 = 73 + 8 = 73 – 8 = 62 – 9 = 64 – 50 = 52 – 7 =

4. Instead of the ellipsis, put the number.

 57 – 9 + … = 49 … + 6 – 20 = 23 30 – … + 8 = 37 35 + 9 – … = 43 … + 1 – 8 = 41 81 – … + 9 = 86

5. Solve the examples.

 7 + ( 9 – 3 ) = ( 9 – 5 ) + 6 = 28 + ( 30 – 20 ) =

### Test №5 “Addition and Subtraction of Two-Digit Numbers”, “Comparison of Numbers”

Variant I.

1. Solve the examples.

 32 + 30 = 6 + 79 = 36 + 20 = 8 + 49 = 58 – 30 = 65 – 8 = 80 – 7 = 49 – 30 =

2. Instead of the ellipsis, put a sign: greater than, less than, or equal to.

 3 dm … 28 cm 9 mm … 1 cm 48 mm … 5 cm 11 cm … 1 dm 40 mm

3. Instead of the ellipsis, put a sign: greater than, less than, or equal to.

 16 + 30 … 25 + 40 26 + 8 … 78 – 50 26 – 9 … 47 – 30 60 + 7 … 56 + 20

4. Solve the problem.

Petya read 45 short stories over the summer, and Kolya read 12 more stories. How many stories did Kolya read?

5. Solve the problem.

In the football team “Vityaz,” there are 15 players, and in the team “Gladiators,” there are 18 players. How many players are there in both teams?

Variant II.

1. Solve the examples.

 45 + 30 = 62 + 6 = 30 + 50 = 18 + 7 = 39 – 7 = 48 – 20 = 64 – 9 = 78 – 30 =

2. Instead of the ellipsis, put a sign: greater than, less than, or equal to.

 2 dm 1 mm… 21 cm 14 mm … 2 cm 29 mm … 3 cm 1 mm 16 cm … 1 dm 6 mm

3. Instead of the ellipsis, put a sign: greater than, less than, or equal to.

 39 + 30 … 56 + 20 68 + 6 … 78 – 8 56 – 8 … 43 + 9 12 + 8 … 59 – 20

4. Solve the problem.

A pastry costs 25 rubles, and a cake costs 73 rubles more than a pastry. How much does the cake cost?

5. Solve the problem.

The children hung 35 silver balls and 37 golden balls on the Christmas tree. How many balls did the children hang in total?

Variant III.

1. Solve the examples.

 48 + 30 = 26 + 6 = 39 + 50 = 49 + 7 = 52 – 8 = 73 – 50 = 91 – 7 = 78 – 30 =

2. Instead of the ellipsis, put a sign: greater than, less than, or equal to.

 2 dm 1 mm… 21 cm 39 mm … 4 cm 12 mm … 1 cm 3 mm 19 cm … 1 dm 9 mm

3. Instead of the ellipsis, put a sign: greater than, less than, or equal to.

 47 + 30 … 42 + 20 75 + 20 … 94 – 8 78 – 8 … 59 + 9 43 + 8 … 62 – 20

4. Solve the problem.

The kilogram of grapes costs 100 rubles, and the kilogram of bananas costs 40 rubles less. How much does a kilogram of bananas cost?

5. Solve the problem.

Mom and Lena were preparing a festive dinner. Lena made 36 pastries, and mom made 45 more pastries. How many pastries did mom make?

### Test №6 “Addition and subtraction of two-digit numbers”, “Brackets, order of operations”, “Segment, angle, rectangle”

Variant I.

1. Solve the examples.

 45 – 18 = 62 + 23 = 30 + 64 = 52 – 14 = 16 + 43 = 96 – 57 =

2. Solve geometric problems.

2.1. Draw a segment, the length of which is 1 dm 3 cm 4 mm.

2.2. Draw a right angle.

2.3. Draw a rectangle with sides of 3 cm and 7 cm.

3. Solve the examples.

 14 + (45 – 18) = (62 – 23) + 34= 70 – (52 + 14) = 16 + (47 – 18) =

4. Solve the problem.

Sasha has 46 anniversary coins, and Kolya has 20 more coins than Sasha. How many coins do the guys have in total?

Variant II.

1. Solve the examples.

 68 – 14 = 28 + 93 = 40 + 26 = 48 – 19 = 76 + 13 = 96 – 27 =

2. Solve geometric problems.

2.1. Draw a segment, the length of which is 1 dm 6 cm 8 mm.

2.2. Draw an obtuse angle.

2.3. Draw a rectangle with sides of 2 cm and 8 cm.

3. Solve the examples.

 14 + (92 – 68) = (72 – 23) + 32= 80 – (62 + 14) = 36 + (49 – 18) =

4. Solve the problem.

There were 69 passengers in the train car. 23 passengers got off at the stop, and 18 passengers got on. How many passengers are in the car now?

Variant III.

1. Solve the examples.

 73 – 18 = 46 + 43 = 63 + 32 = 52 – 28 = 78 + 13 = 66 – 57 =

2. Solve geometric problems.

2.1. Draw a segment, the length of which is 1 dm 8 cm 2 mm.

2.2. Draw an acute angle.

2.3. Draw a rectangle with sides of 4 cm and 9 cm.

3. Solve the examples.

 45 + (31 – 18) = (72 – 39) + 34= 80 – (42 + 33) = 16 + (47 – 31) =

4. Solve the problem.

The store received 34 packs of apple juice and several packs of orange juice. How many packs of juice did they bring to the store if there are 25 more packs of orange juice than packs of apple juice?

### Test №7 “Multiplication and division”, “Word problems on multiplication and division”, “Square”

Variant I.

1. Solve the examples.

 3 * 8 = 2 * 7 = 4 * 5 = 4 * 3 = 7 * 3 = 5 * 3 =

 4 + 4 + 4 + 4 = 8 + 8 + 8= 2 + 2 + 2 + 2 + 2 + 2 + 2 = 7 + 7 + 7 + 7 + 7 =

3. Draw a square with sides of 4 cm.

4. Solve the problem.

3 friends came to visit Sasha. He gave each friend 4 candies. How many candies did the friends get?

5. Solve the problem.

There were 15 chocolates on the plate. Mom, grandma, and Olya divided them equally. How many chocolates did Olya get?

Variant II.

1. Solve the examples.

 2 * 9 = 2 * 6 = 2 * 4 = 4 * 3 = 5 * 3 = 8 * 3 =

 3 + 3 + 3 + 3 + 3 + 3= 8 + 8 = 2 + 2 + 2 + 2 + 2 = 5 + 5 + 5 + 5 =

3. Draw a square with sides of 7 cm.

4. Solve the problem.

Grandma planted 4 bulbs in a row in the garden. How many bulbs did grandma plant in total if there are 5 rows in the garden?

5. Solve the problem.

The bag weighs 9 kg. It contains 3 identical packs of juice. How much does one pack of juice weigh?

Variant III.

1. Solve the examples.

 4 * 4 = 2 * 2 = 5 * 2 = 7 * 2 = 9 * 3 = 8 * 2 =

 4 + 4 + 4 + 4 + 4 + 4 + 4 = 9 + 9 + 9 + 9 + 9= 3 + 3 + 3 + 3 + 3 = 7 + 7 + 7 =

3. Draw a square with sides of 6 cm.

4. Solve the problem.

Polina has 9 postcards. Masha has twice as many postcards. How many postcards does Masha have?

5. Solve the problem.

There were 16 apples in the bucket. Four children divided them equally. How many apples did each child get?

### Test №8 “Multiplication and division of numbers”, “Solving word problems on multiplication and division”

Variant I.

1. Solve the examples.

 2 * 9 = 3 * 7 = 2 * 6 = 4 * 3 = 7 * 1 = 5 * 2 = 12 : 3 = 16 : 2 = 15 : 3 = 14 : 2 = 21 : 3 = 24 : 3 =

2. Solve the problem.

Books were placed on three shelves. There were 8 books on each shelf. How many books were placed on the shelves in total?

3. Solve the problem.

For his birthday, Dad gave Kolya and Pasha 18 badges. How many badges did each of them get?

Variant II.

1. Solve the examples.

 2 * 8 = 2 * 5 = 2 * 4 = 3 * 3 = 5 * 3 = 8 * 3 = 18 : 3 = 20 : 2 = 9 : 3 = 12 : 2 = 24 : 3 = 9 : 1 =

2. Solve the problem.

The farmer collected 45 kg of raspberries and divided them equally into 3 boxes. How many kg of berries are in each box?

3. Solve the problem.

In the craft class, the teacher gave each student 2 nails. How many nails did the teacher give in total if there are 9 children in the class?

Variant III.

1. Solve the examples.

 2 * 10 = 2 * 9 = 2 * 7 = 3 * 10 = 8 * 3 = 6 * 3 = 24 : 3 = 18 : 2 = 12 : 3 = 14 : 2 = 27 : 3 = 9 : 3 =

2. Solve the problem.

There are 9 benches in the park. Each bench is occupied by 3 people. How many people are sitting in the park?

3. Solve the problem.

The master cut a wire 27 meters long into 3 equal pieces. What is the length of each piece of wire?

### Preparation for Control Works. ADDITION AND SUBTRACTION OF NUMBERS WITHIN 100.

The goal of the work is to assess the understanding and skills of adding and subtracting numbers within 100; knowledge of the relationship between components and the results of addition and subtraction; the ability to solve problems.

First work

Variant 1
1. In the school library, 24 girls from the second grade signed up, and there are 9 more boys. How many students from the second grade signed up for the school library?
2. Perform the operations:
26+28   81-15   12-7
62-26   48+29   8+9
55+33   63-24   66-19
3. Solve the equation: x + 18 = 42.
4. Draw two segments: the length of the first is 4 cm, the second is 6 cm. How many centimeters is the first segment shorter than the second?

Variant 2
1. On a weekend day, 56 boys visited the ice rink, and there were 47 fewer girls. How many children visited the ice rink on the weekend?
2. Perform the operations:
42-17   25+23   13-8
38+26   76-29   7+6
69-14   28+39   35+27
3. Solve the equation: x—18 = 46.
4. Draw two segments: the length of the first is 4 cm, and the second is 7 cm. How many centimeters longer is the second segment than the first?

Variant 3
1. In the first basket, 26 kg of apples were placed, and in the other 27 kg. How many kilograms of apples are there in both baskets?
2. Perform the operations:
28+7   64-37   67-45   6+8
32-5   46+50   84-12   22-5
38+46   90—29   20-6   17—5
3. Solve the equations: 30+x = 46;   20—x = 16.

Variant 4
1. Pioneers must plant 90 trees. First, they planted 27 trees, and then 38. How many more trees do they have left to plant?
2. Perform the operations:
24+34   82-37   46—14   18—7
45-8   9+8   16+18   7+6
54+36   30—18   12—7   38+12

Second work

Variant 1
1. There were 60 kg of apples in the basket. From it, 40 kg were put into one box, and 10 kg into another. How many kg are left in the basket?
3. Solve the equations: x+36 = 56;   x—13 = 20.

Third work

Variant 1
1. At the school exhibition, third-grade students gave 32 drawings, second-grade students gave 7 fewer, and fourth-grade students gave 8 more than second-grade students. How many drawings did fourth-grade students give to the exhibition?
2. Perform the operations:
54+28   36+56   73-8
37+23   80-37   42-28
72-18   44-29   7+6
3. Solve the equations: x+16 = 30;   x—18 = 17.
4. Compare the expressions (put the correct sign >, <, or =):
16+14 and 14+16;   63-30 and 63-20.

Variant 2
1. A girl read a book in three days: on the first day, 22 pages, on the second day, 8 pages less than on the first, and on the third day, as much as in the first two days together. How many pages did the girl read on the third day?
2. Perform the operations:
63+29   26+46   62-7
46+24   70—37   56-28
62-28   34-19   6+8
3. Solve the equations: 17+x = 40;   29-x = 18.
4. Compare the expressions (put the correct sign >, <, or =):
52+17 and 17+52;   27+20 and 27+2.

Variant I
1. The first pioneer squad collected 42 kg of acorns, the second collected 18 kg less, and the third collected as much as the first two squads together. How many kg of acorns did the third squad collect?
2. There were notebooks on the table, the teacher added 25 more notebooks to them. Now there are 40 notebooks on the table. How many notebooks were on the table initially? (Formulate the equation.)
3. Draw two segments: the length of the first is 12 cm, it is 3 cm longer than the second.

Variant 2
1. For handicraft lessons, they bought 38 sheets of red paper, 9 sheets less of green, and as many white sheets as red and green together. How many sheets of white paper were bought for handicraft lessons?
2. Boris gave 6 marks to a comrade. After that, he had 24 marks left. How many marks did Boris have originally? (Formulate the equation.)
3. Draw two segments: the length of the first is 6 cm, it is 4 cm shorter than the second.

Arithmetic Dictation
1. 3+9.
2. 11-4.
3. Increase 8 by 4.
4. Decrease 15 by 8.
5. Find the sum of numbers 5 and 6; 6 and 7; 9 and 6.
6. Find the difference between 12 and 5; 14 and 9.
7. How much is 15 more than 8? How much is 6 less than 14?

Variant 1
1. Perform the operations:
65+17   53-26   54-17+8
48-29   38+7   39+6—27
48+34   27-9   56+(7-5)
2. Solve the equations: a+48=96;   b—23=8.
3. Compare the expressions (put the sign >, <, or =)
51-37 and 51-27;   35 + 19 and 19+35.

Variant 2
1. Perform the operations:
37+25   84-37   47-18+6
74-46   54-8   26+6-15
16+38   63—9   80-(20+7)

2. Solve the equations: b—17=56;   36—c= 18.
3. Compare the expressions (put the sign >, <, or =)
84-28 and 82—28;   56+4 and 4+56.

Variant 1
1. From one school, 38 pioneers came to the pioneer camp, from another 57 pioneers, from the third school, 30 pioneers fewer came to the camp than from the first and second together. How many pioneers came to the camp from the third school?
2. Bought 36 notebooks: 20 of them are squared, the rest are lined. Which notebooks are more — squared or lined — and by how much?
3. In the garden, there were 25 apple trees. In the fall, they planted more apple trees, and there were a total of 43. How many apple trees were planted in the fall?

Variant 2
1. From one bed, the youth collected 40 kg of cucumbers, from another 50 kg, and from the third bed, the youth collected 26 kg less than from the first two together. How many kg of cucumbers did the youth collect from the third bed?
2. There were 40 postcards in the album: 26 of them are colored, the rest are plain. Which postcards are more — colored or plain — and by how much?
3. After taking 68 kg of flour from the bag, there were 7 kg left. How many kilograms of flour were in the bag?

1. Find the sum of the numbers 7 and 9; 6 and 8. Find the difference between the numbers 11 and 8; 15 and 7.
2. Increase 18 by 6; decrease 12 by 5.
3. How much is 13 less than 60? How much is 18 more than 9?
4. The first addend is 26, the second is 9. What is the sum?

34+8 72-48 67—23
61-6 28+30 81-40
47+47 80—25 76—38

2. Write down the equation and solve it:
a) If a certain number is decreased by 7, the result is 10. What number is intended?
b) If a certain number is increased by 8, the result is 17. What number is intended?

Variant 1
1. Two milk cans were brought to the kindergarten. One can contains 16 liters, and the other contains 24 liters of milk. During lunch, 18 liters were used. How many liters of milk are left for dinner?
2. A coat costs 63 rubles, which is 38 rubles more expensive than a dress. How much do the coat and dress cost together?
3. When some books were taken off the shelf, there were still 25 books left. How many books were taken off the shelf if there were originally 40 books? (Formulate the equation.)

Variant 2
1. In the bag, there are 52 kg of groats. The first time, 12 kg were taken from it, and the second time, 16 kg were taken. How many kilograms of groats are left in the bag?
2. There were 11 meat pies on the plate, which is 6 more pies than with cabbage. How many pies were on the plate?
3. In two boxes, there are 27 kg of cookies. One box contains 13 kg. How many kilograms of cookies are in the other box? (Formulate the equation.)

Arithmetic Dictation
1. Decrease 11 by 2; increase 9 by 3.
2. How much is 7 less than 13? How much is 16 more than 8?
3. Find the sum of the numbers 17 and 8, 32 and 18.
4. Find the difference between the numbers 30 and 16; 42 and 27.
5. The first addend is 16, the second is 17. What is the sum?
6. The minuend is 70, the subtrahend is 7. What is the difference?

Variant 1
1. Perform the operations:
64+28 32-19 54-29
27+23 26+46 73—8
72-16 80-37 (38-37)+9
2. Find the unknown number:
x – 17=30 4-y=27
3. Draw a rectangle with sides of 3 cm and 5 cm.

Variant 2
1. Perform the operations:
84 +18 42—29
37+33 36+56
61-26 90-27
2. Find the unknown number:
2+x = 30 70—x=8
3. Draw a square with sides of 4 cm.

### Preparation for Control Works. Multiplication and Division Tables.

The aim of the task is to determine how well students have mastered the multiplication and division tables; the assimilation of theoretical material (commutative property of multiplication, relationship between components and results of actions, mastering general methods of multiplication and division with numbers 1 and 10), especially in connection with the application of this material in practice; to what extent students have developed the ability to solve problems.

Variant 1
1. 1) Children dug up 9 currant bushes, and the number of gooseberry bushes is 4 times more. How many bushes did the children dig up in total?
2) A tractor consumes 42 liters of gasoline in 7 hours. How many liters of gasoline does the tractor consume in 1 hour?
2. Perform the operations:
9:3 8×3 9×7 6-7
21:7 72:9 45:5 63:7
3. Find the unknown number:
x-8=40 x:6=7

Variant 2
1. 1) In the “Skillful Hands” club, 9 girls are engaged, and there are twice as many boys. How many children are in the club?
2) For 2 bedspreads, 8 rubles were paid. How much does 1 bedspread cost?
2. Perform the operations:
4-6 7-8 4-7 4-7
9-9 49:7 72:9 54:6
3. Find the unknown number: 5-x=35; 36:x=4

Variant 1
1. 1) There are 60 desks to paint. They painted 8 desks for 6 days. How many desks are left to paint?
2) How many corn cobs are there on 27 cornstalks, if each stalk has 3 cobs?
2. Perform the operations:
54:6 5-9 42:6 6-6
49:7 63:7 7-7 9-8
3. Solve equations: x:8=7; 72:x=9.
4. Additional task. Draw two segments: the length of the first one is 8 cm, and it is twice shorter than the second one.

Variant 2
1. 1) The school needs to paint 60 desks. Each day, they painted 8 desks. There are 12 desks left to paint. How many days did they paint desks?
2) How many bagels can you buy for 36 kopecks if one bagel costs 6 kopecks?
2. Perform the operations:
6-8 72:8 32:8 8-8
9-6 27:9 3-8 35:5
3. Solve equations: 6-x=42; x:7=4.
4. Additional task. Draw two segments: the length of the first one is 10 cm, and it is twice longer than the second one.

Variant 1
1. One girl had 15 kopecks, and another had 5 kopecks. They bought buns for all the money, 5 kopecks each. How many buns did the girls buy?
2. Find the values of expressions:
6-3 24:6 32:4 18:1
7-4 56:7 9-1 27-27
40:5 6-6 28:4 54:9-6
7-6 5-7 4-4 24:3-4
3. Write down the equation and solve it. What number should be divided by 6 to get 5?
4. Solve the equation:
32:x=4 x-13=70

Variant 2
1. The hostess bought 18 kg of cucumbers; she put 3 kg of cucumbers in each of the 4 jars for pickling. How many kilograms of cucumbers does she have left?
2. Find the values of expressions:
8-6 54:6 24:8 32+32
5-5 36:9 50:5 28:28+5
42:6 18:3 15-8 81:9-4
13-8 9-2 6-4 21:3-7
3. Write down the equation and solve it. How many times should 7 be increased to get 42?
4. Solve the equation:
x+12=51 9-x=72

Variant 1
1. At the beginning of the year, there were 8 pioneers in the class, and by the end of the year, there were 4 times more. How many pioneers are there in the class by the end of the year?
2. Six envelopes with stamps cost 30 kopecks, and a notebook costs 25 kopecks. How many times is the envelope with a stamp cheaper than the notebook?

Variant 2
1. On one shelf, there are 27 books; on the other, there are three times fewer. How many books are there on both shelves?
2. A student bought 6 pencils for 3 kopecks each and a book for 29 kopecks. How many kopecks are pencils cheaper than the book?

Arithmetic Dictation
1. What number is 8 times larger than 6? Increase 6 by 9 times.
2. By how many times is 24 greater than 6? Decrease 36 by 9 times.
3. Find the product of 8 and 7; find the quotient of 81 and 9.
4. Multiply 9 by 3; divide 21 by 7.

Variant 1
1. Perform the operations:
7-24-18 (80-76)x7 90-164-18
6-6-36 76—38 21:34-59
2. Write down the product of two numbers, the value of which is equal to 36.
3. Compare the expressions: 4-34-4 and 4-4; 7-3 and 7-4.
4. Solve the equations: 5-x=15; x:6=36—28.

Variant 2
1. Perform the operations:
(78-70)-6 2+84-29 240-184-19
(31-29)-.5 35:7-8. 86-24
2. Write down two numbers, the quotient of which is 7.
3. Compare the expressions: 6-5 and 6+4; 8-3 and 8-5.
4. Solve the equations: x-7=21; 28: x=86—79.

Variant 1
1. On the Christmas tree, 18 balls were hung, there are 9 fewer crackers, and lanterns are 3 times more than crackers. How many lanterns were hung on the Christmas tree?
2. The chair costs 8 rubles. How much do 6 such chairs cost?
3. The mass of a bucket with salt is 27 kg, and the mass of a bucket with snow is 3 kg. How many times is the bucket with salt heavier than the bucket with snow?

Variant 2
1. A box of colored pencils costs 12 kopecks, a brush is three times cheaper, and a book is 28 kopecks more expensive than the brush. How much does the book cost?
2. For 5 meters of fabric, they paid 45 rubles. How much does 1 meter of fabric cost?
3. The height of a telegraph pole is 6 meters, and the height of a five-story building is 18 meters. How many times is the house higher than the pole?

Arithmetic Dictation
1. Increase 6 by 9 times; increase 6 by 9.
2. Decrease 12 by 3 times; decrease 12 by 3.
3. By how many times is 49 greater than 7? What number is 9 times larger than 2?
4. Find the quotient of 18 and 6; 72 and 8. Find the product of 9 and 4; 7 and 4.

Variant 1
1. Perform the operations:
16-7 36:9 24-6 72:8+47
18:3 7-9 64:8 93-4-7
8-8 72:9 10-5+38 8+6-7
2. Find the unknown number:
4-x=32 28:x=4 72—x=36:6
3. Write and substitute numbers instead of dots to make the equality true:
6 m = … dm 3 dm = … cm 50 cm = … dm

Variant 2
1. Perform the operations:
9-7 63:9 8-4 6-4+23
24:4 7-7 42:7 46+60:6
9-8 45:5 57-48:6 (84-39) :5
2. Find the unknown number:
25:x=5 x:2=8
3. Write and substitute numbers instead of dots to make the equality true:
9 m = … dm 5 dm = … cm 30 dm = … m

Variant 1
1. Bought 4 meters of fabric for 7 rubles each and 3 meters of cloth, a total of 88 rubles. How much does 1 meter of cloth cost?
2. One boy has 4 coins of 5 kopecks each, and another has the same amount of money but with coins of 2 kopecks each. How many more coins does the second boy have than the first?

Variant 2
1. For a children’s home, they bought 5 robes for 4 rubles each and several identical dresses for 9 rubles each. They spent a total of 74 rubles. How many dresses were bought?
2. The father is 35 years old, and the son is 7 years old. By how many times is the father older than the son? How many years younger is the son than the father?

1. What number should be multiplied by 7 to get 56?
2. Decrease 36 by 9 times.
3. By how many times is 42 greater than 6? How many times is 6 less than 42?
4. 27 is 3 times greater than the conceived number. What is the conceived number?
5. 3 is 5 times less than the conceived number. What is the conceived number?

Variant 1
1. Find the values:
6-(72-63) 8:2-8 7-8 42:7
(17+37) :9 9-3 8-6 63:9
24:6-9 5-5 18:3 25-1
2. Find the unknown numbers:
x—27=34—26 x-7=42 x:7=5
3. Complete the record: 5 cm= … mm, 85 dm= … m … dm

Variant 2

1. Find the values:
7- (56-47)   10:2-9   26-7   15:5
(32+40):9   8-3   9-8   54:6
45:5-3   4.4   1-5   49:7
2. Find the unknown number:

45-x=18+9   9-x=27   x:8=4

3. Complete the expression: 70 mm=… cm;   35 dm=.., m … dm

Variant 1
1. The mass of five boxes of cookies is 45 kg. What is the mass of 3 boxes of candies if the mass of a candy box is 3 kg less than the mass of a cookie box?
2. Perform the operations:
5-4   24:3   6-1   57+18:6
3-8   27:9   64:8   3-8 + 12
2-9   42:7   36:9   52+9-3
6-7   56:8   5-8   5x(71-68)
3. Solve the equations:
68-x=154-3;   36:x=4-

Variant 2
1. Children collected 7 kg of berries from 6 rowan trees and 3 kg of berries from 9 elderberry bushes. Which berries did the children collect more of and by how much?
2. Perform the operations:

6-3   15:3   1-9   8- (48:8)
4-8   36:6   72:9   (25+29): 9
7-8   54:9   48:6   72:9-7
2-9   81:9   3-7   (36-28) :4
3. Solve the equations: 48-x=4-7;   28:x=7

### Preparation for control work. Non-tabular multiplication and division.

The aim of the task is to demonstrate the ability to apply practical knowledge related to theoretical concepts, as well as the skills necessary for mastering non-tabular multiplication and division; problem-solving skills.

Variant 1
1. A boy bought 4 identical notebooks for 52 kopecks. How many such notebooks can be bought for 41 kopecks each?
3-19 96:6 (56+34): 18
64:4 77:7 84-12-3
88:2 18-4 36:3+39
23. Find the unknown number: 23-x=69.
3. Perform the operations:
4. Calculate the sum of the sides of a pentagon, each side of which is 12 cm.
4. Calculate the perimeter of a pentagon, each side of which is 12 cm.

Variant 2
1. From 51 m of fabric, you can sew 17 identical dresses. How many meters of fabric will be needed for 13 dresses?
2. Perform the operations:
78:3   14-6   66:11   96:8   5+12   99:9
3. Find the unknown number: 80:%= 16.
4. Calculate the sum of the sides of a triangle, each side of which is 13 cm.

Variant 1
1. Natasha bought 4 identical postcards for 16 kopecks. How many such postcards can be bought for 28 kopecks each?
2. Perform the operations:
13-3   24-4   14-7   55:5
13-4   19-5   18-2   96:12
29-3   25-3   48:4   76:19

3. Calculate the value of the expressions in a convenient way!
(17+38) :5   (20+8)-3
4. Find the unknown number: 24-%=72.
Variant 2
1. Two common notebooks were bought for 36 kopecks. How many such notebooks can be bought for 54 kopecks?
2. Perform the operations:
57:3   70:5   17-5   32-2
45:15   29-3   18-3   63:9
84:28   19-2   21-3   8-12

3. Calculate the value of the expressions in a convenient way»
(18+24) :3   (8+7)-6
4. Perform the operations!
7-14   56:4   91:13   90:5   65:13
48-2   48:12   76:4   14-5   3-29

1. 72 kg of cookies, 12 kg each, and 60 kg of candies, 15 kg each, were delivered to the store. How many boxes of cookies and candies were delivered to the store in total?
2. Perform the operations:
6-17   51:3   4-13   92:23   6-12
38:2   84:21   60:4   32:16   99:11
3. Find the numerical value of the expression:
a-b—29, if a=17, b—4
4. Additional task. Draw a rectangle in notebooks with a length of 6 cm and a width of 5 cm. Calculate its sum of sides.

Variant 1
1. One worker processes 72 parts in 3 hours, and another worker processes the same number of parts in 4 hours. How many more parts does the first worker process per hour than the second?
2. 56:4   96:8   54:18   7-13
65:5   75:5   98:49   12-8
96:6   75:3   14-5   20-5

Variant 2
1. The mass of five boxes of cookies is 75 kg. What is the mass of 3 boxes of candies if the mass of a candy box is 7 kg more than the mass of a cookie box?
2. 54:3   81:27   66:11   35-2
69:3   80:16   75:15   40:10
36:12   80:5   18-4   13-7

Variant 1

1. The hostess bought 6 cups for 3 rubles each and 12 plates for 2 rubles each. How much money did the hostess spend in total?
2. From one collective farm apiary, 36 kg of honey was brought, and from another, 48 kg. All the honey was poured into cans, 7 kg each. How many of these cans were needed?
3. The hunter handed over 16 hare skins to the store, and 8 more squirrel skins. How many squirrel skins did the hunter hand over to the store?
Variant 2
1. Students planted 4 rows of apple trees, 15 apple trees in each row, and 3 rows of plums, 18 plums in each row. How much more did students plant apple trees than plums?
2. The saleswoman had 28 red carnations and 14 white ones. She made bouquets from them, 7 flowers in each. How many bouquets were made from these carnations?
3. Before lunch, 18 boxes of apples were sold, and after lunch, 4 more boxes. How many boxes of apples were sold after lunch?

Arithmetic dictation
1. Find the product of the numbers: 27 and 3;   47 and 2.
2. Calculate the quotient of the numbers: 87 and 29;   78 and 6.
3. By how many times is 38 greater than 2? By how many times is 3 less than 75?
4. Decrease 88 by 4 times; increase 12 by 7 times.
5. Decrease the number 100 by the product of the numbers 20 and 4.
6. Multiply the sum of the numbers 3 and 9 by 6.

Variant 1
1. Perform the operations:
26+18-4   80:16-13   72-96:8
31-3-17   57:19-32   36+42:3
2. Find the unknown number:
72:x=4   42:x=63:3
3. Compare the expressions (put the sign >, <, or =):
6-3+8-3 and (6+8)x3   5-12 and 5-(10+2)

Variant 2
1. Perform the operations:
11-7+23   56:14-19   72:18+7-8
23+27-2   60:15-13   86-78:13
2. Find the unknown number:
x:6=11 75+x=17+8
3. Compare the expressions (put the sign >, <, or =):
(20+8)-2 and 28-3   (7+4)-4 and 7-Ч+4-4

Variant 1
1. In the stall, 12 boxes of grapes, 8 kg each, were delivered. Before the lunch break, 32 kg were sold. How many times more grapes are left than sold?
2. Eight meters of fabric were used for two identical suits. How many such suits can be sewn from 44 meters of fabric?
3. Draw a rectangle with a length of 4 cm and a width of 3 cm in notebooks. Calculate its sum of sides.

Variant 2
1. There were 84 meters of fabric in the workshop. Part of this fabric was used to sew 12 dresses, using 4 meters for each. How many meters of fabric were used more than what was left?
2. Two chairs were paid for 36 rubles. How many such chairs can be bought for 90 rubles?
3. The sum of the sides of a triangle with three equal sides is 24 dm. What is the length of its side?

Arithmetic dictation
1. Increase 6 by 5 times; increase 16 by 5 times.
2. By how many times is 51 greater than 3? How much less is 15 than 30?
3. Find the product of the numbers 34 and 2; the quotient of the numbers 54 and 2.
4. Represent the number 72 as the sum of two such addends, each of which is divisible by 4 without a remainder; by 3,

Variant 1
1. Perform the operations!
45-2:9   34:17   21-4
57:3-4   75:15   23-3
24-3:6   90:15   4-24

2. Find the unknown number:
x-6=72—36   32:x=64:8
3. Compare the expressions (put the sign >, <, or =):
17:17 and 17:1   65-0 and 65-1

Variant 2
1. Perform the operations:
2. Find the unknown numbers:
7- x= 100-51   x:6=21:3
3. Compare the expressions (put the sign >, <, or =):
28:1 and 28:28 ,   34-1. and 34-0

### Preparation for control work. Thousand.

The aim of the task is to demonstrate the ability of students to master oral and written numeration of three-digit numbers; skills in oral addition and subtraction; multiplication and division of numbers within 1000.

Variant 1
1. Perform the operations!
708+167   654+190   833-65   725-506   80-7 2  93+356
823+88   632-340   987-97   270:9
2. On the way from the collective farm to Moscow, a truck traveled 278 km. After that, it had to travel another 165 km to Moscow than it did in the first place. What is the distance from the collective farm to Moscow?
3. Write down the expressions and calculate their values!
a) The difference between 660 and 180 divided by 8.
b) The quotient of 96 and 16 increased 13 times.

Variant 2
1. Perform the operations:
507+187   744+180   513-75   925- 307   60-8
382+254   623 + 79   826-640   1000-98   320:4
2. On the way from the city to the collective farm, a car traveled 26 km. After that, it had to travel 54 km more to the collective farm than it did. What is the distance from the city to the collective farm?
3. Write down the expressions and calculate their values:
a) The sum of 440 and 280 divided by 9.
b) The quotient of 68 and 17 increased 25 times.

Variant 1
1. Write down the number consisting of 6 hundreds, 2 tens, and 4 units; of 8 hundreds and 3 tens; of 5 units in the first place, 2 units in the second place, and 4 units in the third place.
2. How many hundreds are there in the numbers: 300, 456, 784, 680?
3. Compare (put the sign >, <, or =):
501 and 105   209 and 290   6 m 9 dm and 6 m 08 cm
4. Perform the operations:

320+30   850-200   90+60   800-270
560-40   670+30   280+160   460-120
370+600   800-90   820 + 150   340-60
5. Solve the equation: x+220=280-2

Variant 2
1. Write down the number consisting of 3 hundreds, 1 ten, and 8 units; of 6 hundreds and 2 tens; of 5 units in the third place, 1 unit in the second place, and 7 units in the first place.
2. How many tens are there in the numbers: 400, 383, 685, 780?
3. Compare (put the sign >, <, or =):
170 and 137   280 and 208   6 cm 3 mm and 6 dm 3 cm
Perform the operations:

430+40   750-400   80+60   600-380
850-30   360+40   180+160   960-120
270 + 600   900-90   320+250   240-70.
5. Solve the equation: 470—x=65:5

Variant 1
1. From the library, 615 people take books home, of which 227 are adults, teenagers are 98 more than adults, and the rest of the readers are children. How many children take books home?
2. Perform the operations:
275+284   762-649   623-442   407—400
647—382   780— 368   248+361   150-4
546+273   643+237   506-6   810:9
3. Fill in the missing numbers: 8 cm 4 mm= mm;
2 dm 6 cm= cm; 5 m 8 dm = … dm; 17 mm= … cm, mm

Variant 2

Variant 1
1. A steamboat traveled 145 km in the first day, 63 km more in the second day than in the first, and 80 km less in the third day than in the second. How many kilometers did the steamboat travel on the third day?
2. In the morning, there were 813 rubles in the cashier. During the day, 508 rubles were issued, and 280 rubles were accepted. How much money is in the cashier by the end of the day?
3. In the school, there are 230 Komsomol members, and pioneers are three times more. How many pioneers are there in the school?
Variant 2
1. One brigade planted 450 currant bushes, the second planted 12 bushes more, and the third planted 132 bushes less than the second. How many currant bushes did the third brigade plant?
2. In three houses, there are 385 tenants. In the first house, there are 134 tenants, and in the second, 117. How many tenants are there in the third house?
3. On the first day of the library opening, 160 books were issued, and on the second day, twice less. How many books were issued on the second day?

Variant 1
1. Find the difference if:
a) the minuend is 403, and the subtrahend is 90;
b) the subtrahend is 460, and the minuend is 709.
2. Find the sum if:
a) the first addend is 507, and the second is 181;
b) the first addend is 344, and the second is 61.
3. Perform the operations:
354+228   867-349   60-8   120-3
505+337   650-370   360:6   420:7
4. Solve the equation: 140*x=280 Variant 2
1. Find the difference if:
a) the minuend is 690, and the subtrahend is 387;
b) the subtrahend is 459, and the minuend is 870.
2. Find the sum if:
a) the first addend is 505, and the second is 249;
b) the first addend is 140, and the second is 238.
3. Perform the operations:
744+180   925-307   90-9   170-5
623+79   1000-98   720:8   390:3
4. Solve the equation x-170=340