# Examples for 6th grade (the sixth graders)

#### Number of problems found: 1387

• A filter
It is a pool with a volume of 3500 liters. The filter filters at 4m cubic per hour. How many minutes would it filter the entire pool?
• By six
From the digits 1,2,3,4 we create the long integer number 123412341234. .. .. , which will have 962 digits. Is this number divisible by 6?
• Paint cans
How many paint cans do we need to paint the floor in two rooms with dimensions of 6.8m x 4.5m and 6m x3.8m? One can arefor 6m².
• One third 2
One third of all students in class live in a house. If here are 42 students in a class, how many of them live in house?
• A store
A store received a shipment of 240 skateboards. In three weeks, it sold 1/3 of those skateboards. How many skateboards did the store sell?
• Apartment area
Anton wanted to measure the area of the apartment. But he bought a meter only 1.5m long. Later he recalled that he had two meters long at 4.5m and 18m at home. How many times are home gauges longer than the meter he bought?
• The ketchup
If 3 1/4 of tomatoes are needed to make 1 bottle of ketchup. Find the number of tomatoes required to make 4 1/5 bottles
• Brothers and sisters
There are 35 children in the class, 23 of them have a brother, and 27 of them have a sister. How many children have both a brother and a sister when there are 5 children in the class who have no brother or sister?
• Two villages
On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map?
• Father and sons
Father is 27 and his sons 2 and one year. In how many years will his sons sum up to half his age?
• Three lines
At 6 am, three bus lines are departing from the station. The first line has an interval of 24 minutes. The second line has an interval of 15 minutes. The third line runs at regular intervals of more than 1 minute. The third line runs at the same time as t
Find the radius of the circle with area S = 200 cm².
• Evaluate - order of ops
Evaluate the expression: 32+2[5×(24-6)]-48÷24 Pay attention to the order of operation including integers
• Common divisors
Find all common divisors of numbers 30 and 45.
• Numbers division
With what number should be divided mixed number 2 3/4 to get 11/12?
• Simple equation 10
35= 7*3*x what is x?
• Adding mixed 3
Why does 1 3/4 + 2 9/10 equal 4.65? How do you solve this?
• Sum of the digits
How many are two-digit natural numbers that have the sum of the digits 9?
• 45th birthday
This year Mrs. Clever celebrated her 45th birthday. Her three children are now 7, 11 and 15 years old. In how many years will Mrs. Clever's age be equal to the sum of her children's years?
• Math test
In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, heavy 5 points, the best score is 84 points. How many points did Jane have when she solved all the easy examples, half medium and one-third difficult?

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...