# Equation - 7th grade (12y) - math problems

1. Athletic club All athletic club boys lined up by size. In front of Peter was one-eighth of the total. Right behind Peter stood his brother Radek and behind Radek another five-sixths of the total number of boys. Mark the unknown total number of athletic club boys x.
2. Eq-frac Solve the following equation with fractions: h + 1/3 =5/3
3. One third If 3/5 is 360, how much is 1/3?
4. Missing number Blank +1/6 =3/2 find the missing number
5. Bag of peanuts Joe eat 1/3 of a bag of peanuts, mark eat 1/4 of the remaining in the bag of peanuts, Alvin eat 1/2 of the remaining bag of peanuts, peter eat 10 peanuts, there are 71 peanuts left. Hon many peanuts were in the bags?
6. Examination 2 In an examination, a teacher awards 2 marks for every correct answer and subtract a mark for every wrong answer. If there are 20 questions and a child scored 25 marks how many correct answer did the child get?
7. 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?
8. 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? The school received money from the sponsor. She used one-third to buy computers, half of the rest to adjust the gym. It still has 4000 euros left. How many euros did the sponsor donate to the school?
10. 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?
11. MG=7x-15, MG=7x-15, FG=33, x=? Point M is the midpoint of FG. Find unknown x.
12. 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?
13. Midpoint 6 FM=8a+1, FG=42, a=? Point M is the midpoint of FG. Find unknown a.
14. 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.
15. 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.
16. 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?
17. Inlet minus outlet Water flows into the tank through two pipes and flows out of the third pipe spontaneously. The pipe A itself would fill the tank in 3 hours, the pipe B itself would fille in 4 hours, and the pipe C itself would flow out in 12 hours. How long will the tank.
18. Wood dividing Which equation calculates the number of 1/3-foot pieces that can be cut from a piece of wood that is 7 feet long?
19. Poplar How tall is a poplar by the river, if we know that 1/5 of its total height is a trunk, 1/10th of the height is the root and 35m from the trunk to the top of the poplar? For the construction of the road dam, it is supposed to transport six trucks a total of 18 days. After three days, two more cars were sent to the construction site. How long will it take to carry the material?