№ 1 · Counting · Grade 1
Counting math problems
40 problems with worked solutions.
Collections by grade
№ 2 · Counting · Grade 1
There are 11 seats in a row. Lena sits in the fourth seat from the left. What is the number of her seat when counted from the right?
№ 3 · Counting · Grade 1
Four small boxes contain 3 cubes each, and another 5 cubes lie nearby. How many cubes are there in total?
№ 4 · Counting · Grade 1
In the cafe you can choose one of three drinks and one of two buns. How many different sets can you make from a drink and a bun?
№ 5 · Counting · Grade 1
A doll can wear one of 4 hats and one of 3 scarves. How many different hat-and-scarf outfits can be made?
№ 6 · Counting · Grade 1
A farm has 3 rabbits and 5 chickens. How many legs do these animals have altogether?
№ 7 · Counting · Grade 2
Nadya has three plain T-shirts and four different hats. In how many ways can you choose one T-shirt and one hat?
№ 8 · Counting · Grade 2
Four rows of nine seats were set up for a concert. Five seats were reserved for guests. How many seats were available for the rest of the audience?
№ 9 · Counting · Grade 2
There are three different paths from the house to the park, and two from the park to the library. How many routes are there from home to the library through the park?
№ 10 · Counting · Grade 2
There are 5 paths to a lake and 3 roads from the lake to a tower. How many routes to the tower through the lake are possible?
№ 11 · Counting · Grade 3
Six teams of five people signed up for a quiz. Two people became ill and did not come. How many participants attended the quiz?
№ 12 · Counting · Grade 3
For the school stage, choose one of three decorations, one of two curtain colors and one of four lanterns. How many different designs are possible?
№ 13 · Counting · Grade 3
There are 84 books on the shelf. They were arranged equally on seven identical shelves. How many books were on each shelf?
№ 14 · Counting · Grade 3
Five friends met and each shook hands with each other exactly once. How many handshakes were there in total?
№ 15 · Counting · Grade 3
There are six different fruits on the table. For the salad you need to choose any two of them. How many different pairs of fruits can you choose?
№ 16 · Counting · Grade 3
Numbers from 1 to 60 are written in a row on the cards. They left numbers that are multiples of four, but removed those that are multiples of twelve. How many cards are left?
№ 17 · Counting · Grade 3
For a performance, choose one of 4 shirts, one of 3 pairs of trousers, and one of 2 hats. How many outfits are possible?
№ 18 · Counting · Grade 4
A grid has five rows and seven columns of cells. How many rectangles can be outlined along its grid lines?
№ 19 · Counting · Grade 4
Five participants greeted one another, with each pair greeting exactly once. How many greetings were there?
№ 20 · Counting · Grade 4
One hundred lockers are numbered in order. Every fourth locker is marked red, and every sixth locker is marked blue. How many lockers have at least one mark?
№ 21 · Counting · Grade 4
A robot moves on a square grid from the lower-left corner to the upper-right corner. It must take exactly 3 steps right and 2 steps up. How many shortest routes are possible?
№ 22 · Counting · Grade 4
How many three-digit numbers can be made from the digits 1, 2 and 3 if each digit must be used exactly once?
№ 23 · Counting · Grade 4
Choose 2 books from 6 different books for a trip. How many choices are possible if order does not matter?
№ 24 · Counting · Grade 4
Three-digit numbers are made from the digits 1, 2, and 3, using each digit exactly once. How many such numbers are possible?
№ 25 · Counting · Grade 5
How many three-digit numbers can be made from the digits 1, 2, 3, and 4 if no digit is repeated?
№ 26 · Counting · Grade 5
Three cards are chosen from seven cards of different colors. The red card must be included, and the blue card must not be included. How many different sets can be made?
№ 27 · Counting · Grade 5
How many even four-digit numbers can be made from the digits 1, 2, 3, 4, using each exactly once?
№ 28 · Counting · Grade 5
Two distinguishable six-sided dice are rolled. In how many ways can the sum of the numbers drawn be equal to 7?
№ 29 · Counting · Grade 5
From eight different books you need to choose two for the trip. The order of the books is not important. How many options are there to choose from?
№ 30 · Counting · Grade 5
The book has 200 numbered pages. A bookmark was placed on every seventh page and every eleventh. How many different pages were bookmarked?
№ 31 · Counting · Grade 5
A team has four members. One must be appointed captain and a different member must be appointed deputy. How many different appointments are possible?
№ 32 · Counting · Grade 5
On the checkered map you need to go from point A to point B, taking exactly 4 steps to the right and 3 steps up. How many shortest paths are there?
№ 33 · Counting · Grade 5
How many three-digit even numbers can be made from the digits 1, 2, 3 and 4 without repeating the digits?
№ 34 · Counting · Grade 5
A captain and a deputy are chosen from 8 participants. How many choices are possible if the roles are different?
№ 35 · Counting · Grade 5
Two standard dice are rolled. In how many ways can the total be 8 if the first and second die are distinguished?
№ 36 · Counting · Grade 6
Using the digits 1, 2, 3, and 4, four-digit even numbers are formed without repeating a digit. How many numbers are possible?
№ 37 · Counting · Grade 6
There are 12 participants at a meeting. Each person shakes hands with every other participant exactly once. How many handshakes occur?
№ 38 · Counting · Grade 6
Two people must be chosen from 8 participants for a team, with no difference between their roles. How many choices are possible?
№ 39 · Counting · Grade 6
A code consists of three different letters chosen from A, B, C, and D. How many codes are possible if letter order matters?
№ 40 · Counting · Grade 6