# Algebra - problems - page 57

1. Unknown number
Identify unknown number which 1/5 is 40 greater than one tenth of that number.
2. Fence
Square garden has an area of 537 m2. How many meters netting is necessary to fence the garden?
3. Sides ratio
Calculate the circumference of a triangle with area 84 cm2 if a:b:c = 10:17:21
4. Dividing money
Thomas, Honza and Vasek are to divide 1220kč. Honza got 25% more than Thomas. Vasek 20% less than Thomas. How CZK each got?
5. Points on circle
In the Cartesian coordinate system with the origin O is a sketched circle k /O; r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points that lie on the circle I / O; r=5 cm / and whose coordinates are i
6. School marks
Boris has a total of 22 marks. Ones have 3 times less than threes. There are two twos. How many has ones and threes?
7. Square and rectangle
Calculate the side of a square which content area equals area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square.
Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4)
9. Father and son
Father is 44 years old, his son 16 years. Determine how many years ago was the father five times older than the son.
10. Apples 2
How many apples were originally on the tree, if the first day fell one third, the second day quarter of the rest and on tree remained 45 apples?
11. Bottles
Mrs. Violet brewed 15 l of raspberry juice. She poured it into 17 bottles. Some were 3/4 liter and some one liter. How many was bottles of this two types?
12. Car consumption
The car has passed 988 kilometers and consumed 66 liters of petrol. What is the consumption per 100 kilometers?
13. Largest angle of the triangle
What is the largest angle of the triangle if the second angle is 10° greater than twice the first and the third is 30° smaller than the second?
14. Grass
Peter and Stano lawn grass for 3 hours 12 minutes. How long would it take to Peter if Stano lawn grass himself for 384 minutes.
15. Aunt
Annie aunt is 35 years old, Annie is 14 years. For how many years will aunt have twice as many years as Annie?
16. Cakes
Grandmother baked cakes. Half of its was poppy, quarter with plum jam and 16 cheesecakes. How many cakes she baked in total?
17. Midnight
How many hours are, if the time that elapsed since 8:00 is 2/5 of the time that will past till midnight?
18. Equations
Solve following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44
19. Gears
The gearing fits wheel with 20 teeth to the wheel with 36 teeth. Before starting the machine is stained tooth smaller wheels in the designated space between the teeth of the larger wheels. How many times after starting the machine wheels turning that stain
20. Motel
Three different dinners A, B, C are served in the motel. Three 20 members went to motel. Group 1 ordered dinners: A 20 members and their average dinner price in the group was CZK 200. From Group 2, they ordered a A: 10 persons, B 10 dinners, and their aver

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