№ 1 · Counting · Grade 5
Grade 5 math problems
20 problems with worked solutions.
№ 2 · Geometry · Grade 5
A square with a perimeter of 48 cm was cut into four identical small squares. What is the sum of the perimeters of all the small squares in centimeters?
№ 3 · Patterns · Grade 5
In the sequence 7, 12, 17, 22, each next number is 5 more. What is the twentieth term?
№ 4 · 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?
№ 5 · Arithmetic · Grade 5
Find the sum of numbers from 1 to 30 that are not divisible by 3.
№ 6 · Time and calendars · Grade 5
A pedestrian left a village at 6 km/h. One hour later, a cyclist followed at 18 km/h. How many hours after setting off will the cyclist catch the pedestrian?
№ 7 · Counting · Grade 5
How many even four-digit numbers can be made from the digits 1, 2, 3, 4, using each exactly once?
№ 8 · Geometry · Grade 5
A rectangle has an area of 96 cm² and one side is 8 cm long. What is its perimeter in centimeters?
№ 9 · 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?
№ 10 · 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?
№ 11 · Arithmetic · Grade 5
Two warning lights flash every 12 and 18 seconds. Now they blinked simultaneously. In how many seconds will this happen again for the first time?
№ 12 · 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?
№ 13 · 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?
№ 14 · Arithmetic · Grade 5
Solve the equation: three times an unknown number plus 17 equals 68. What is the unknown number?
№ 15 · Geometry · Grade 5
The area of a square is 196 square centimeters. What is its perimeter in centimeters?
№ 16 · 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?
№ 17 · Arithmetic · Grade 5
The book has 240 pages. On the first day, they read a third of the book, and on the second, a quarter of the remaining pages. How many pages are left after two days?
№ 18 · Counting · Grade 5
How many three-digit even numbers can be made from the digits 1, 2, 3 and 4 without repeating the digits?
№ 19 · Arithmetic · Grade 5
One craftsperson can complete an order in 6 hours, and another can complete it in 3 hours. How many hours will they need to complete the same order if they work together at constant rates?
№ 20 · Arithmetic · Grade 5