Examples of equations for 6th grade (11y)

Number of problems found: 304

The bath
Dad poured 50 liters of water at 60°C into the tub. How much cold water must be added at 10°C to obtain a bath that has a temperature of 40°C?
Trip cost
In September, the trip cost CZK 12,000. How many crowns did the trip cost in June of the same year, when they have since reduced the price by a quarter and by another CZK 1,200?
The same
The same number of rabbits and hens are running on the farm. 468 feet run around the yard. How many rabbits and hens do they have on the farm?
Grandma
We're going to Grandma. We still have 24 km left. How far does Grandma live if we have traveled from the total distance: half, a third, a fifth?
Worker salary
The worker had a salary of CZK 18,000. During the year, his salary was increased by a quarter. He earned a total of CZK 247,500 for the whole year. From which month was his salary increased?
The sum
The sum of five consecutive odd numbers is 75. Find out the sum of the second and fourth of them.
On a
On a some day, the Sun, Venus and the Earth are in eclipse, i. E. Venus is between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again?
Second side
Calculate the length of the other side of the rectangle if its circumference is 60 cm and one side is 10 cm long.
Library
New books were purchased for the library. Five-eighths were professional books, one-fifth were encyclopedias, and 231 books were dictionaries. How many professional books were there?
Equation with one variable
Solve the following equation with one unknown: 5(7s + 5) =130
The temperature 5
The temperature at 4pm was 53° Fahrenheit the temperature dropped 3° each hour from 4pm to 9pm which equation below accurately represents the temperature at 9pm
The temperature 4
The temperature was very cold, then it doubled, then it dropped 10 degrees, and then it increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature?
The orchard
4 temporary workers harvested the orchard in 9 days. How many temporary workers we need for six days?
Equal temperature
The temperatures of the two cities were measured at the same time. The temperature in city A was 60 degrees And rose at a constant rate of 2 degrees per hour. The temperature in city B was 40° and rose at a constant rate of 10° per hour Enter the time in
Pupil
I'm a primary school pupil. I attended the parents' exercises with children 1/4 of my age, 1/3 for drawing, and 1/6 for flute. For the first three years of my life, I had no ring, and I never went to two rings simultaneously. How old am I?
The tourist
The tourist has walked 3/4 of the route. The destination is 12.5 km away. How many kilometers did the route measure?
Father and sons
Father is 27, and his sons two and one years. In how many years will his sons sum up to half his age?
Radius
Find the radius of the circle with area S = 200 cm².
Simple equation 10
35= 7*3*x what is x?
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?