# Grade - examples - page 181

1. Spending
If spends 25% of my net pay of \$922.28 on entertainment. How much money is that?
2. Right triangle
Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'.
3. Savings
Eva borrowed 1/3 of her savings to her brother, 1/2 of savings spent in the store and 7 euros left. How much did she save?
4. Four pavers
Four pavers would pave the square in 18 days. How many pavers do you need to add to done work in 12 days?
5. Bricks pyramid
How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?
6. Each with each
Five pupils from 3A class played table tennis. How many matches did they play with each other?
7. Big cube
Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long.
8. 7 digit number
If 3c54d10 is divisible by 330, what is the sum of c and d?
9. Flowerbed
Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together?
10. Ratio of sides 2
The ratio of the side lengths of one square to another is 1:2. Find the ratio of the area of the two squares.
11. The painter
In order for the painter to get the desired color, he must mix green and yellow in a ratio of 4: 7. If it has 28 l of green color, how many liters of yellow color should he add? How many liters of mixed color does he get?
12. Cuboid walls
If the areas of three adjacent faces of a cuboid are 8 cm², 18 cm² and 25 cm². Find the volume of the cuboid.
13. Body diagonal
Calculate the length of the body diagonal of the 6cm cube.
14. Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has a content of 10 cm2. Find the area of the o
15. Rectangles
The perimeter of a rectangle is 90 m. Divide it into three rectangles, the shorter side has all three rectangles the same, their longer sides are three consecutive natural numbers. What is the dimensions of each rectangle?
16. Cakes
1/3 poppy cake, 1/3 apple, 15 pieces of cheese. How many are totally cakes?
17. Repay, interest, loan
Ramchacha takes a loan amount of 240000 from a bank for constructing a house at the rate of simple interest of 12% per annum. After 1 yr. of taking the loan he rents the house at the rate of 5200 per month. Determine the number of years he would take to re
18. Linsys2
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
19. Soldier
An experienced soldier digs a good trench in 30 hours. Two soldiers dug the same trench each 40 hours. How many hours will the ditch dig all three together?
20. Budget plan
In the construction of the building, the planned budget exceeded 13%, which was 32,500 euros. How many euros cost built the building?

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