# Examples for 7th grade (seventh)

- Tourist

A tourist walked an average speed of 3.5 km/h route in 6 hours. Calculate how many hours he would have passed at an average speed of 5.5km/h. - Geometric plan

At what scale the building plan if one side of the building is 45m long and 12mm long on a plan? - Down syndrome

Down syndrome is one of the serious diseases caused by a gene mutation. Down syndrome occurs in approximately every 550-born child. Express the incidence of Down's syndrome in newborns at per mille. - Cube into cylinder

If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge? - Iron pole

The iron pole is in the ground 2/5 of its length, partly above the ground 1/3 is yellow, and the unpainted section is 6 m long. How long is the entire column? - Cook on gas

The gas cylinder will last for 30 weekends for 2 hours of daily cooking. How many days will we be able to cook on a new cylinder when we cook 3 hours a day? - Dance group

The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group? - Barter

There is exchange trade on the market. We know that for two sheepskins we get three goat skins. We also know that for six rabbits skins we get four goat skins. How many rabbit's skins we get for four sheepskins? - Temperature change

The mean temperature change is -3.2°F per day for five days. What is the total change over the five day period? - Last page

Two consecutive sheets dropped out of the book. The sum of the numbers on the sides of the dropped sheets is 154. What is the number of the last page of the dropped sheets? - Prism 4 sides

Find the surface area and volume four-sided prism high 10cm if its base is a rectangle measuring 8 cm and 1.2dm - The King

The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them? - Four workers

Four workers will lay the floor of the gym in six hours. After an hour of working together, one of the workers left to the doctor. How long before the remaining three workers finish their work? - Area of rectangle

How many times will increase the area of the rectangle, if we increase twice the length and at the same time we decrease the width by the half? - MG=7x-15,

MG=7x-15, FG=33, x=? Point M is the midpoint of FG. Find unknown x. - Midpoint 6

FM=8a+1, FG=42, a=? Point M is the midpoint of FG. Find unknown a. - Midpoint 5

FM=3x-4, MG=5x-26, FG=? Point M is the midpoint of FG. Use the given information to find the missing measure or value. - Find midpoint

FM=5y+13, MG=5-3y, FG=? M is the midpoint of FG. Use the given information to find the missing measure or value. - Horizontal distance

The road has a gradient of 8%. How many meters will the road rise on a horizontal distance of 400m? - Lumberjacks

Fifteen lumberjacks would take 12 days to destroy the broken trees. How many days would this work require if 5 workers added to it after 4 days?

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