№ 1 · Counting · Grade 5
Grade 5 math problems with answers
Problems on fractions, percentages, speed, combinatorics, logic, and geometry for regular practice and math olympiad preparation.
30 problems with worked solutions.
Try 5 Grade 5 problemsPrintable worksheetMock test
Topic collections
№ 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
How many different natural factors does the number 360 have, including 1 and the number 360 itself?
№ 21 · Arithmetic · Grade 5
In a group, the ratio of boys to girls is 3:5. There are 32 children altogether. How many are girls?
№ 22 · Arithmetic · Grade 5
A warehouse has 640 parts. Inspectors selected 12.5 percent of them. How many parts were selected?
№ 23 · Arithmetic · Grade 5
The number 500 was increased by 20 percent, and then the result was decreased by 20 percent. What number was obtained?
№ 24 · Arithmetic · Grade 5
One robot assembles 18 parts per hour and another assembles 12 per hour. How many parts will they assemble together in 4 hours?
№ 25 · Money and measurement · Grade 5
A backpack cost 1500 rubles. Its price was reduced by 20 percent. What is the new price in rubles?
№ 26 · Time and calendars · Grade 5
A car traveled 180 kilometers at 60 kilometers per hour and returned at 45 kilometers per hour. How many hours longer did the return trip take?
№ 27 · Counting · Grade 5
A captain and a deputy are chosen from 8 participants. How many choices are possible if the roles are different?
№ 28 · Geometry · Grade 5
A rectangular box is 8 decimeters long, 5 decimeters wide, and 3 decimeters high. What is its volume in cubic decimeters?
№ 29 · Patterns · Grade 5
An arithmetic sequence starts at 7, and each next number is 4 greater. What is the twenty-fifth number?
№ 30 · Counting · Grade 5