№ 1 · Arithmetic · Grade 4
Grade 4 math problems
20 problems with worked solutions.
№ 2 · Counting · Grade 4
A grid has five rows and seven columns of cells. How many rectangles can be outlined along its grid lines?
№ 3 · Arithmetic · Grade 4
How many numbers from 100 to 200 inclusive are divisible by both 6 and 9?
№ 4 · Word problems · Grade 4
A box contains 75 beads. The ratio of blue beads to green beads is 2:3. How many blue beads are there?
№ 5 · Arithmetic · Grade 4
The sum of three consecutive odd numbers is 87. Find the largest number.
№ 6 · Patterns · Grade 4
For a two-digit number, the tens digit is twice the units digit, and the sum of the digits is 9. Find the number.
№ 7 · Geometry · Grade 4
From the first to the eighth sign on the straight path, there are exactly 14 meters between adjacent signposts. How long is this section of trail?
№ 8 · Arithmetic · Grade 4
64 board games were brought to the club. Three-eighths were given to the younger group, then a quarter of the rest to the older group. How many games are left?
№ 9 · Geometry · Grade 4
Four corner cells were removed from a square board measuring 6 by 6 cells. How many cells are left?
№ 10 · Counting · Grade 4
Five participants greeted one another, with each pair greeting exactly once. How many greetings were there?
№ 11 · 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?
№ 12 · 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?
№ 13 · Geometry · Grade 4
A rectangular table consists of 8 columns and 6 rows of cells. How many cells touch the outer border of the table?
№ 14 · 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?
№ 15 · Arithmetic · Grade 4
There are two ribbons 84 and 126 centimeters long. Both must be cut without leaving any residue into identical pieces of the greatest possible length. What is the length of one segment?
№ 16 · Arithmetic · Grade 4
There were 160 liters of water in the tank. Three-eighths of all water was used for irrigation. How many liters are left in the tank?
№ 17 · Arithmetic · Grade 4
The arithmetic mean of five numbers is 24. The sum of the first four numbers is 90. What is the fifth number?
№ 18 · Logic · Grade 4
The sum of three consecutive natural numbers is 72. What is the largest of these three numbers?
№ 19 · Geometry · Grade 4
A rectangular box measuring 4 × 3 × 2 unit cubes was completely filled. How many individual cubes fit?
№ 20 · Arithmetic · Grade 4