№ 1 · Counting · Grade 5
Counting problems for Grade 5
11 problems with worked solutions.
№ 2 · 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?
№ 3 · Counting · Grade 5
How many even four-digit numbers can be made from the digits 1, 2, 3, 4, using each exactly once?
№ 4 · 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?
№ 5 · 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?
№ 6 · 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?
№ 7 · 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?
№ 8 · 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?
№ 9 · Counting · Grade 5
How many three-digit even numbers can be made from the digits 1, 2, 3 and 4 without repeating the digits?
№ 10 · Counting · Grade 5
A captain and a deputy are chosen from 8 participants. How many choices are possible if the roles are different?
№ 11 · Counting · Grade 5